3948320992000
3,948,320,992,000 is an even composite number composed of seven prime numbers multiplied together.
3948320992000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 3948320992000:
28 × 53 × 7 × 113 × 17 × 19 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 11 × 11 × 17 × 19 × 41)See below for interesting mathematical facts about the number 3948320992000 from the Numbermatics database.
Names of 3948320992000
- Cardinal: 3948320992000 can be written as Three trillion, nine hundred forty-eight billion, three hundred twenty million, nine hundred ninety-two thousand.
Scientific notation
- Scientific notation: 3.948320992 × 1012
Factors of 3948320992000
Divisors of 3948320992000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 19 20 22 25 28 32 34 35 38 40 41 44 50 55 56 64 68 70 76 77 80 82 85 88 95 100 110 112 119 121 125 128 133 136 140 152 154 160 164 170 175 176 187 190 200 205 209 220 224 238 242 250 256 266 272 275 280 287 304 308 320 323 328 340 350 352 374 380 385 400 410 418 425 440 448 451 475 476 484 500 532 544 550 560 574 595 605 608 616 640 646 656 665 680 697 700 704 748 760 770 779 800 820 836 847 850 875 880 896 902 935 950 952 968 1000 1025 1045 1064 1088 1100 1120 1148 1190 1210 1216 1232 1280 1292 1309 1312 1330 1331 1360 1375 1394 1400 1408 1435 1463 1496 1520 1540 1558 1600 1615 1640 1672 1694 1700 1750 1760 1792 1804 1870 1900 1904 1925 1936 2000 2050 2057 2090 2125 2128 2176 2200 2240 2255 2261 2296 2299 2375 2380 2420 2432 2464 2584 2618 2624 2660 2662 2720 2750 2788 2800 2816 2870 2926 2975 2992 3025 3040 3080 3116 3157 3200 3230 3280 3325 3344 3388 3400 3485 3500 3520 3553 3608 3740 3800 3808 3850 3872 3895 4000 4100 4114 4180 4235 4250 4256 4352 4400 4480 4510 4522 4592 4598 4675 4750 4760 4840 4864 4879 4928 4961 5125 5168 5225 5236 5248 5320 5324 5440 5453 5500 5576 5600 5740 5852 5950 5984 6050 6080 6160 6232 6314 6400 6460 6545 6560 6650 6655 6688 6776 6800 6970 7000 7040 7106 7175 7216 7315 7480 7600 7616 7667 7700 7744 7790 8000 8075 8200 8228 8360 8470 8500 8512 8569 8800 8960 9020 9044 9184 9196 9317 9350 9500 9520 9625 9680 9758 9856 9922 10250 10285 10336 10450 10472 10496 10640 10648 10880 10906 11000 11152 11200 11275 11305 11480 11495 11704 11900 11968 12100 12160 12320 12464 12628 12920 13090 13120 13243 13300 13310 13376 13552 13600 13940 14000 14080 14212 14350 14399 14432 14630 14875 14960 15125 15200 15232 15334 15400 15488 15580 15785 16000 16093 16150 16400 16456 16625 16720 16940 17000 17024 17138 17425 17600 17765 18040 18088 18368 18392 18634 18700 19000 19040 19250 19360 19475 19516 19712 19844 20500 20570 20672 20900 20944 21175 21280 21296 21760 21812 22000 22304 22400 22550 22610 22627 22960 22990 23375 23408 23800 23936 24200 24320 24395 24640 24805 24871 24928 25256 25289 25840 26125 26180 26240 26486 26600 26620 26752 27104 27200 27265 27880 28000 28424 28700 28798 28864 29260 29750 29920 30250 30400 30464 30668 30800 30976 31160 31570 32000 32186 32300 32725 32800 32912 33250 33275 33440 33880 34000 34048 34276 34727 34850 35200 35530 35875 36080 36176 36575 36736 36784 37268 37400 38000 38080 38335 38500 38720 38950 39032 39083 39688 40375 41000 41140 41344 41800 41888 42350 42560 42592 42845 43624 44000 44608 44800 45100 45220 45254 45920 45980 46585 46750 46816 47600 47872 48400 48790 49280 49610 49742 49856 50512 50578 51425 51680 52250 52360 52480 52972 53200 53240 53504 53669 54208 54400 54530 54571 55760 56000 56375 56525 56848 57400 57475 57596 57728 58520 59500 59840 59983 60500 60800 61336 61600 62320 63140 64372 64600 65450 65600 65824 66215 66500 66550 66880 67760 68000 68552 69454 69700 70400 71060 71750 71995 72160 72352 73150 73472 73568 74536 74800 76000 76160 76670 77000 77440 77900 78064 78166 78925 79376 80465 80750 82000 82280 82688 83600 83776 84337 84700 85120 85184 85690 87125 87248 88000 88825 89216 90200 90440 90508 91840 91960 92701 93170 93500 93632 94259 95200 96800 97375 97580 98560 99220 99484 99712 101024 101156 102850 103360 104500 104720 105875 105944 106400 106480 107338 108416 108800 109060 109142 111520 112000 112750 113050 113135 113696 114800 114950 115192 115456 117040 119000 119680 119966 121000 121600 121975 122672 123200 124025 124355 124640 126280 126445 128744 129200 130900 131200 131648 132430 133000 133100 133760 135520 136000 136325 137104 138908 139400 142120 143500 143990 144320 144704 145673 146300 147136 149072 149600 152000 152320 153340 154000 154880 155800 156128 156332 157850 158389 158752 160930 161500 163625 164000 164560 166375 167200 167552 168674 169400 170240 170368 171380 173635 174250 174496 176000 177023 177650 178432 180400 180880 181016 182875 183680 183920 185402 186340 187000 187264 188518 190400 191675 193600 194750 195160 195415 198440 198968 199424 202048 202312 205700 206720 209000 209440 211750 211888 212800 212960 214225 214676 216832 218120 218284 223040 224000 225500 226100 226270 227392 229600 229900 230384 232925 234080 238000 239360 239932 242000 243950 245344 246400 248050 248710 249280 252560 252890 257125 257488 258400 261800 262400 263296 264860 266000 266200 267520 268345 271040 272000 272650 272855 273581 274208 277816 278800 282625 284240 287000 287375 287980 288640 289408 291346 292600 294272 298144 299200 299915 304000 306680 308000 311600 312256 312664 315700 316778 317504 321860 323000 327250 328000 329120 331075 332750 334400 335104 337348 338800 340736 342760 347270 348500 348992 352000 354046 355300 359975 360800 361760 362032 365750 367360 367840 370804 372680 374000 374528 377036 380800 381997 383350 387200 389500 390320 390830 394625 396880 397936 402325 404096 404624 411400 413440 418000 418880 421685 423500 423776 425600 425920 428450 429352 429913 436240 436568 444125 446080 451000 452200 452540 454784 459200 459800 460768 463505 465850 468160 471295 476000 479864 484000 487900 490688 492800 496100 497420 498560 505120 505780 514250 514976 516800 523600 526592 529720 532000 532400 536690 542080 544000 545300 545710 547162 548416 555632 557600 565250 565675 568480 574000 574750 575960 577280 578816 582692 585200 588544 590359 596288 598400 599830 608000 609875 613360 616000 620125 621775 623200 624512 625328 631400 632225 633556 635008 643720 646000 654500 656000 658240 659813 662150 665500 668800 674696 677600 681625 685520 694540 697000 697984 708092 710600 719950 721600 723520 724064 728365 731500 735680 741608 745360 748000 754072 761600 763994 766700 774400 779000 780640 781660 789250 791945 793760 795872 804650 808192 809248 822800 836000 837760 843370 847000 847552 851200 851840 856900 858704 859826 868175 872480 873136 885115 888250 892160 902000 904400 905080 909568 918400 919600 921536 927010 927707 931700 936320 942590 952000 958375 959728 968000 975800 977075 981376 992200 994840 997120 1010240 1011560 1019711 1028500 1029952 1033600 1036849 1047200 1059440 1064000 1064800 1071125 1073380 1084160 1090600 1091420 1094324 1096832 1111264 1115200 1130500 1131350 1136960 1148000 1149500 1151920 1164625 1165384 1170400 1180718 1192576 1196800 1199660 1219750 1226720 1232000 1240250 1243550 1246400 1249024 1250656 1262800 1264450 1267112 1270016 1287440 1292000 1309000 1312000 1316480 1319626 1324300 1331000 1337600 1341725 1349392 1355200 1363250 1364275 1367905 1371040 1389080 1394000 1395968 1416184 1421200 1439900 1443200 1447040 1448128 1456730 1463000 1471360 1483216 1490720 1496000 1499575 1508144 1527988 1533400 1558000 1561280 1563320 1578500 1583890 1587520 1591744 1602403 1609300 1618496 1645600 1655375 1672000 1675520 1686740 1694000 1695104 1703680 1713800 1717408 1719652 1736350 1744960 1746272 1770230 1776500 1799875 1804000 1808800 1810160 1836800 1839200 1843072 1854020 1855414 1863400 1872640 1885180 1904000 1909985 1916750 1919456 1936000 1951600 1954150 1962752 1984400 1989680 2011625 2020480 2023120 2039422 2057000 2059904 2067200 2073698 2094400 2108425 2118880 2128000 2129600 2142250 2146760 2149565 2181200 2182840 2188648 2193664 2222528 2230400 2261000 2262700 2273920 2296000 2299000 2303840 2317525 2329250 2330768 2340800 2356475 2361436 2385152 2399320 2439500 2453440 2464000 2480500 2487100 2492800 2501312 2525600 2528900 2534224 2574880 2584000 2618000 2632960 2639252 2648600 2662000 2683450 2698784 2710400 2726500 2728550 2735810 2742080 2778160 2788000 2828375 2832368 2842400 2879800 2886400 2894080 2896256 2913460 2926000 2942720 2951795 2966432 2981440 2992000 2999150 3009391 3016288 3055976 3066800 3108875 3116000 3122560 3126640 3157000 3161125 3167780 3175040 3183488 3204806 3218600 3236992 3291200 3299065 3310750 3344000 3373480 3388000 3390208 3427600 3434816 3439304 3472700 3489920 3492544 3540460 3553000 3599750 3608000 3617600 3620320 3641825 3678400 3686144 3708040 3710828 3726800 3770360 3808000 3819970 3833500 3838912 3872000 3903200 3908300 3959725 3968800 3979360 4023250 4040960 4046240 4078844 4114000 4119808 4147396 4188800 4216850 4237760 4256000 4259200 4284500 4293520 4299130 4340875 4362400 4365680 4377296 4425575 4445056 4460800 4522000 4525400 4547840 4592000 4598000 4607680 4635050 4638535 4658500 4661536 4681600 4712950 4722872 4798640 4879000 4885375 4906880 4961000 4974200 4985600 5002624 5051200 5057800 5068448 5098555 5149760 5168000 5184245 5236000 5278504 5297200 5324000 5366900 5397568 5420800 5453000 5457100 5471620 5484160 5556320 5576000 5656750 5664736 5684800 5759600 5792512 5826920 5852000 5903590 5932864 5962880 5984000 5998300 6018782 6032576 6111952 6133600 6217750 6232000 6245120 6253280 6314000 6322250 6335560 6350080 6366976 6409612 6437200 6473984 6493949 6582400 6598130 6621500 6688000 6708625 6746960 6776000 6821375 6839525 6855200 6869632 6878608 6945400 6979840 6985088 7080920 7106000 7199500 7216000 7235200 7240640 7257943 7283650 7356800 7416080 7421656 7453600 7497875 7540720 7639940 7667000 7677824 7806400 7816600 7919450 7937600 7958720 8012015 8046500 8092480 8157688 8228000 8294792 8377600 8433700 8475520 8518400 8569000 8587040 8598260 8681750 8724800 8731360 8754592 8851150 8890112 9044000 9050800 9184000 9196000 9215360 9270100 9277070 9317000 9323072 9363200 9425900 9445744 9549925 9597280 9758000 9770750 9813760 9922000 9948400 10005248 10102400 10115600 10136896 10197110 10299520 10336000 10368490 10472000 10542125 10557008 10594400 10648000 10733800 10747825 10795136 10906000 10914200 10943240 10968320 11112640 11152000 11216821 11313500 11329472 11369600 11519200 11587625 11653840 11704000 11782375 11807180 11865728 11925760 11996600 12037564 12065152 12223904 12267200 12435500 12464000 12506560 12628000 12644500 12671120 12819224 12874400 12987898 13164800 13196260 13243000 13417250 13493920 13552000 13642750 13679050 13710400 13739264 13757216 13890800 13970176 14161840 14212000 14399000 14432000 14470400 14481280 14515886 14567300 14713600 14758975 14832160 14843312 14907200 14995750 15046955 15081440 15279880 15334000 15355648 15612800 15633200 15838900 15875200 15917440 16024030 16093000 16184960 16315376 16456000 16495325 16589584 16867400 16951040 17138000 17174080 17196520 17363500 17449600 17462720 17509184 17626433 17702300 18088000 18101600 18209125 18392000 18430720 18540200 18554140 18634000 18646144 18851800 18891488 19099850 19194560 19516000 19541500 19798625 19844000 19896800 20204800 20231200 20273792 20394220 20599040 20736980 20944000 21084250 21114016 21188800 21296000 21467600 21495650 21590272 21812000 21828400 21886480 22127875 22225280 22304000 22433642 22627000 22658944 22739200 23038400 23175250 23192675 23307680 23408000 23564750 23614360 23731456 23993200 24075128 24130304 24447808 24534400 24871000 24928000 25013120 25256000 25289000 25342240 25492775 25638448 25748800 25921225 25975796 26392520 26486000 26834500 26987840 27104000 27285500 27358100 27420800 27514432 27781600 28323680 28424000 28798000 28962560 29031772 29134600 29517950 29664320 29686624 29814400 29991500 30093910 30162880 30559760 30668000 31225600 31266400 31677800 31750400 31834880 32048060 32186000 32369920 32469745 32630752 32912000 32990650 33179168 33734800 34197625 34276000 34348160 34393040 34727000 34899200 34925440 35018368 35252866 35404600 36176000 36203200 36289715 36418250 36784000 37080400 37108280 37268000 37292288 37703600 37782976 38199700 38389120 39032000 39083000 39597250 39688000 39793600 40060075 40462400 40547584 40788440 41473960 41888000 42168500 42228032 42377600 42592000 42935200 42991300 43624000 43656800 43772960 44255750 44450560 44867284 45254000 45317888 46076800 46350500 46385350 46615360 46816000 47129500 47228720 47749625 47986400 48150256 48895616 49068800 49742000 50026240 50512000 50578000 50684480 50985550 51276896 51497600 51842450 51951592 52785040 52972000 53669000 53739125 53975680 54571000 54716200 54841600 55028864 55563200 56084105 56647360 56848000 57596000 58063544 58269200 59035900 59328640 59373248 59628800 59983000 60187820 60325760 61119520 61336000 62532800 63355600 64096120 64372000 64939490 65261504 65824000 65981300 66358336 67469600 68395250 68552000 68696320 68786080 69454000 69850880 70036736 70505732 70809200 72352000 72406400 72579430 72836500 73568000 73794875 74160800 74216560 74536000 75234775 75407200 75565952 76399400 76778240 78064000 78166000 79194500 79376000 79587200 80120150 80924800 81576880 82476625 82947920 84337000 84456064 84755200 85870400 85982600 87248000 87313600 87545920 88132165 88511500 89734568 90508000 92153600 92701000 92770700 93230720 94259000 94457440 95499250 95972800 96300512 97791232 99484000 101024000 101156000 101368960 101971100 102553792 102995200 103684900 103903184 105570080 105944000 107338000 107478250 107951360 109142000 109432400 110057728 111126400 112168210 113294720 113696000 115192000 115963375 116127088 116538400 118071800 118657280 118746496 119966000 120375640 120651520 122239040 122672000 123385031 125065600 126711200 127463875 128192240 128744000 129606125 129878980 130523008 131962600 132716672 134939200 136790500 137104000 137572160 138908000 141011464 141618400 144812800 145158860 145673000 147589750 148321600 148433120 149072000 150469550 150814400 151131904 152798800 156128000 156332000 158389000 158752000 159174400 160240300 161849600 162348725 163153760 164953250 165895840 168674000 168912128 171740800 171965200 174496000 174627200 175091840 176264330 177023000 179469136 181016000 181448575 185402000 185541400 186461440 188518000 188914880 190998500 191945600 192601024 198968000 200300375 202312000 202737920 203942200 205107584 207369800 207806368 211140160 211888000 214676000 214956500 218284000 218864800 222252800 224336420 226589440 230384000 231926750 232254176 233076800 236143600 237492992 239932000 240751280 244478080 245344000 246770062 250131200 253422400 254927750 256384480 257488000 259212250 259757960 261046016 263925200 265433344 269878400 273581000 274208000 275144320 277816000 280420525 282022928 283236800 290317720 291346000 295179500 296643200 296866240 298144000 300939100 301628800 305597600 312664000 316778000 320480600 324697450 326307520 329906500 331791680 337348000 343481600 343930400 349254400 350183680 352528660 354046000 358938272 362032000 362897150 370804000 371082800 376173875 377036000 377829760 381997000 383891200 385202048 397936000 400600750 404624000 407884400 410215168 414739600 415612736 422280320 423776000 429352000 429913000 436568000 437729600 440660825 448672840 460768000 463853500 464508352 466153600 472287200 479864000 481502560 488956160 493540124 506844800 509855500 512768960 514976000 518424500 519515920 527850400 539756800 547162000 550288640 555632000 560841050 564045856 566473600 580635440 582692000 590359000 593286400 593732480 601878200 603257600 611195200 616925155 625328000 633556000 640961200 649394900 652615040 659813000 663583360 674696000 687860800 705057320 708092000 717876544 724064000 725794300 741608000 742165600 752347750 754072000 755659520 763994000 770404096 795872000 801201500 809248000 811743625 815768800 829479200 831225472 844560640 858704000 859826000 873136000 875459200 881321650 897345680 907242875 927707000 929016704 932307200 944574400 959728000 963005120 987080248 1013689600 1019711000 1025537920 1036849000 1039031840 1055700800 1094324000 1111264000 1121682100 1128091712 1132947200 1161270880 1165384000 1180718000 1187464960 1203756400 1222390400 1233850310 1250656000 1267112000 1281922400 1298789800 1305230080 1319626000 1327166720 1349392000 1375721600 1402102625 1410114640 1416184000 1435753088 1451588600 1483216000 1484331200 1504695500 1508144000 1527988000 1602403000 1623487250 1631537600 1658958400 1662450944 1717408000 1719652000 1746272000 1750918400 1762643300 1794691360 1814485750 1855414000 1858033408 1889148800 1919456000 1926010240 1974160496 2039422000 2051075840 2073698000 2078063680 2111401600 2188648000 2203304125 2243364200 2256183424 2322541760 2330768000 2361436000 2407512800 2444780800 2467700620 2534224000 2563844800 2597579600 2639252000 2698784000 2751443200 2804205250 2820229280 2832368000 2871506176 2903177200 2966432000 2968662400 3009391000 3016288000 3055976000 3084625775 3204806000 3246974500 3263075200 3317916800 3439304000 3525286600 3589382720 3628971500 3710828000 3778297600 3852020480 3948320992 4078844000 4147396000 4156127360 4222803200 4377296000 4406608250 4486728400 4512366848 4645083520 4661536000 4722872000 4815025600 4935401240 5068448000 5127689600 5195159200 5278504000 5608410500 5640458560 5664736000 5806354400 5937324800 6018782000 6111952000 6169251550 6409612000 6493949000 6526150400 6635833600 6878608000 7050573200 7178765440 7257943000 7421656000 7896641984 8157688000 8294792000 8312254720 8754592000 8813216500 8973456800 9290167040 9445744000 9630051200 9870802480 10255379200 10390318400 10557008000 11216821000 11280917120 11612708800 12037564000 12223904000 12338503100 12819224000 12987898000 13757216000 14101146400 14357530880 14515886000 14843312000 15423128875 15793283968 16315376000 16589584000 17626433000 17946913600 18891488000 19260102400 19741604960 20780636800 21114016000 22433642000 22561834240 23225417600 24075128000 24677006200 25638448000 25975796000 28202292800 29031772000 29686624000 30846257750 31586567936 32630752000 33179168000 35252866000 35893827200 39483209920 41561273600 44867284000 46450835200 48150256000 49354012400 51276896000 51951592000 56404585600 58063544000 61692515500 70505732000 71787654400 78966419840 89734568000 96300512000 98708024800 103903184000 112809171200 116127088000 123385031000 141011464000 157932839680 179469136000 197416049600 207806368000 232254176000 246770062000 282022928000 358938272000 394832099200 493540124000 564045856000 789664198400 987080248000 1974160496000 3948320992000
- Sum of all divisors σ(n): 14116542935040
- Sum of proper divisors (its aliquot sum) s(n): 10168221943040
- 3948320992000 is an abundant number, because the sum of its proper divisors (10168221943040) is greater than itself. Its abundance is 6219900951040
Bases of 3948320992000
- Binary: 1110010111010010100100010100101011000000002
- Hexadecimal: 0x3974A452B00
- Base-36: 1EDU0DJB4
Squares and roots of 3948320992000
- 3948320992000 squared (39483209920002) is 15589238655867864064000000
- 3948320992000 cubed (39483209920003) is 61551318234260951662093631488000000000
-
The
square root of 3948320992000 is 1987038.2462348327 -
The
cube root of 3948320992000 is 15805.3512184509
Scales and comparisons
How big is 3948320992000?- 3,948,320,992,000 seconds is equal to 125,544 years, 20 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 3,948,320,992,000 would take you about three hundred thirteen thousand, eight hundred sixty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 3948320992000 cubic inches would be around 1317.1 feet tall.
Recreational maths with 3948320992000
- 3948320992000 backwards is 0002990238493
- The number of decimal digits it has is: 13
- The sum of 3948320992000's digits is 49
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 3948320992000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 3948320992000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/3948320992000/
Chicago style:
Numbermatics. 2024. "Number 3948320992000 - Facts about the integer". https://numbermatics.com/n/3948320992000/
The information we have on file for 3948320992000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 3948320992000, math, Factors of 3948320992000, curriculum, school, college, exams, university, Prime factorization of 3948320992000, STEM, science, technology, engineering, physics, economics, calculator, three trillion, nine hundred forty-eight billion, three hundred twenty million, nine hundred ninety-two thousand.