48960228064000
48,960,228,064,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 48960228064000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
48960228064000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 48960228064000:
28 × 53 × 113 × 232 × 41 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 23 × 23 × 41 × 53)See below for interesting mathematical facts about the number 48960228064000 from the Numbermatics database.
Names of 48960228064000
- Cardinal: 48960228064000 can be written as Forty-eight trillion, nine hundred sixty billion, two hundred twenty-eight million, sixty-four thousand.
Scientific notation
- Scientific notation: 4.8960228064 × 1013
Factors of 48960228064000
Divisors of 48960228064000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 23 25 32 40 41 44 46 50 53 55 64 80 82 88 92 100 106 110 115 121 125 128 160 164 176 184 200 205 212 220 230 242 250 253 256 265 275 320 328 352 368 400 410 424 440 451 460 484 500 506 529 530 550 575 583 605 640 656 704 736 800 820 848 880 902 920 943 968 1000 1012 1025 1058 1060 1100 1150 1166 1210 1219 1265 1280 1312 1325 1331 1375 1408 1472 1600 1640 1696 1760 1804 1840 1886 1936 2000 2024 2050 2116 2120 2173 2200 2255 2300 2332 2420 2438 2530 2624 2645 2650 2662 2750 2783 2816 2875 2915 2944 3025 3200 3280 3392 3520 3608 3680 3772 3872 4000 4048 4100 4232 4240 4346 4400 4510 4600 4664 4715 4840 4876 4961 5060 5125 5248 5290 5300 5324 5500 5566 5750 5819 5830 5888 6050 6095 6325 6400 6413 6560 6625 6655 6784 7040 7216 7360 7544 7744 8000 8096 8200 8464 8480 8692 8800 9020 9200 9328 9430 9680 9752 9922 10120 10250 10373 10496 10580 10600 10648 10865 11000 11132 11275 11500 11638 11660 12100 12190 12650 12826 13120 13225 13250 13310 13409 13568 13915 14080 14432 14575 14720 15088 15125 15488 16000 16192 16400 16928 16960 17384 17600 18040 18400 18656 18860 19360 19504 19844 20240 20500 20746 21160 21200 21296 21689 21730 22000 22264 22550 23000 23276 23320 23575 23903 24200 24380 24805 25300 25652 26240 26450 26500 26620 26818 27830 28037 28864 29095 29150 29440 30176 30250 30475 30613 30976 31625 32000 32065 32384 32800 33275 33856 33920 34768 35200 36080 36800 37312 37720 38720 39008 39688 40480 41000 41492 42320 42400 42592 43378 43460 44000 44528 45100 46000 46552 46640 47150 47806 48400 48760 49610 49979 50600 51304 51865 52480 52900 53000 53240 53636 54325 54571 55660 56074 56375 57728 58190 58300 60352 60500 60950 61226 63250 64009 64130 64768 65600 66125 66550 67045 67712 67840 69536 69575 70400 70543 72160 72875 73600 74624 75440 77440 78016 79376 80960 82000 82984 84640 84800 85184 86756 86920 88000 89056 90200 92000 93104 93280 94300 95612 96800 97520 99220 99958 101200 102608 103730 105800 106000 106480 107272 108445 108650 109142 111320 112148 112750 114103 115456 116380 116600 117875 119515 120704 121000 121900 122452 124025 126500 128018 128260 131200 132250 133100 134090 135424 139072 139150 140185 141086 144320 145475 145750 147200 147499 149248 150880 152375 153065 154880 156032 158752 160325 161920 164000 165968 166375 169280 169600 170368 173512 173840 176000 178112 180400 184000 186208 186560 188600 191224 193600 195040 198440 199916 202400 205216 207460 211600 212000 212960 214544 216890 217300 218284 222640 224296 225500 228206 232760 233200 235750 238579 239030 241408 242000 243800 244904 248050 249895 253000 256036 256520 259325 262400 262933 264500 266200 268180 271625 272855 278144 278300 280370 282172 288640 290950 291500 294998 301760 304750 306130 308407 312064 317504 320045 320650 323840 328000 331936 332750 335225 338560 339200 340736 347024 347680 347875 352000 352715 356224 360800 368000 372416 373120 377200 382448 387200 390080 396880 399832 404800 410432 414920 423200 424000 425920 429088 433780 434600 436568 445280 448592 451000 456412 465520 466400 471500 477158 478060 484000 487600 489808 496100 499790 506000 512072 513040 518650 525866 529000 532400 536360 542225 543250 545710 549769 556288 556600 560740 564344 570515 577280 581900 583000 589996 597575 603520 609500 612260 616814 620125 635008 640090 641300 656000 663872 665500 670450 677120 694048 695360 695750 700925 704099 705430 712448 721600 727375 736000 737495 744832 746240 754400 764896 765325 774400 780160 793760 799664 801625 809600 820864 829840 846400 848000 851840 858176 867560 869200 873136 890560 897184 902000 912824 931040 932800 943000 954316 956120 968000 975200 979616 992200 999580 1012000 1024144 1026080 1037300 1051732 1058000 1064800 1072720 1084450 1086500 1091420 1099538 1113200 1121480 1128688 1141030 1149517 1163800 1166000 1179992 1192895 1195150 1207040 1219000 1224520 1233628 1240250 1249475 1255133 1270016 1280180 1282600 1296625 1312000 1314665 1327744 1331000 1340900 1364275 1388096 1390720 1391500 1401850 1408198 1410860 1443200 1454750 1474990 1489664 1508800 1529792 1530650 1542035 1560320 1587520 1599328 1600225 1603250 1619200 1622489 1641728 1659680 1676125 1692800 1696000 1703680 1716352 1735120 1738400 1746272 1763575 1781120 1794368 1804000 1825648 1862080 1865600 1886000 1908632 1912240 1936000 1950400 1959232 1984400 1999160 2024000 2048288 2052160 2074600 2103464 2116000 2129600 2145440 2168900 2173000 2182840 2199076 2226400 2242960 2257376 2282060 2299034 2327600 2332000 2359984 2385790 2390300 2438000 2449040 2467256 2480500 2498950 2510266 2560360 2565200 2593250 2624369 2629330 2655488 2662000 2681800 2711125 2728550 2748845 2776192 2781440 2783000 2803700 2816396 2821720 2852575 2886400 2892263 2909500 2949980 2987875 3017600 3059584 3061300 3084070 3175040 3198656 3200450 3206500 3244978 3319360 3352250 3385600 3392477 3432704 3470240 3476800 3492544 3504625 3520495 3527150 3562240 3588736 3608000 3651296 3687475 3724160 3731200 3772000 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415357184 419899040 420692800 424059625 429088000 434237056 436568000 439815200 448592000 450623360 451475200 456412000 459806800 461888944 462762080 471996800 477158000 483796720 489808000 493451200 502053200 505787480 512072000 519196480 524873800 525866000 532176392 542796320 549769000 556366228 563279200 564344000 574758500 577361180 578452600 589996000 597075952 604745900 616814000 627566500 632234350 648995600 656092250 665220490 671838464 678495400 694048000 695457785 703704320 704099000 721701475 723065750 730259200 735690880 740419328 746344940 755932375 763452800 764896000 774074752 799664000 803285120 809259968 811244500 839798080 841385600 848119250 868474112 873136000 879630400 897184000 901246720 912824000 919613600 923777888 925524160 932931175 943993600 954316000 967593440 979616000 986902400 1004106400 1011574960 1024144000 1038392960 1049747600 1051732000 1064352784 1085592640 1099538000 1112732456 1126558400 1128688000 1149517000 1154722360 1156905200 1179992000 1194151904 1209491800 1233628000 1255133000 1264468700 1297991200 1312184500 1330440980 1356990800 1390915570 1408198000 1443402950 1446131500 1471381760 1492689880 1511864750 1526905600 1530007127 1548149504 1580585875 1599328000 1606570240 1618519936 1622489000 1663051225 1679596160 1682771200 1696238500 1746272000 1759260800 1825648000 1839227200 1847555776 1851048320 1865862350 1908632000 1935186880 1973804800 2008212800 2023149920 2048288000 2076785920 2099495200 2103464000 2128705568 2171185280 2199076000 2225464912 2253116800 2257376000 2299034000 2309444720 2313810400 2359984000 2388303808 2418983600 2467256000 2510266000 2528937400 2595982400 2624369000 2660881960 2713981600 2781831140 2816396000 2886805900 2892263000 2985379760 3023729500 3060014254 3161171750 3237039872 3244978000 3326102450 3359192320 3392477000 3477288925 3518521600 3608507375 3651296000 3678454400 3695111552 3702096640 3731724700 3817264000 3870373760 4016425600 4046299840 4198990400 4206928000 4257411136 4342370560 4398152000 4450929824 4506233600 4598068000 4618889440 4627620800 4664655875 4719968000 4776607616 4837967200 4934512000 5020532000 5057874800 5191964800 5248738000 5321763920 5427963200 5563662280 5632792000 5773611800 5784526000 5970759520 6047459000 6120028508 6322343500 6489956000 6652204900 6784954000 6954577850 7217014750 7356908800 7390223104 7463449400 7634528000 7650035635 7740747520 8032851200 8092599680 8315256125 8397980800 8413856000 8514822272 8796304000 8901859648 9196136000 9237778880 9255241600 9329311750 9553215232 9675934400 9869024000 10041064000 10115749600 10383929600 10497476000 10643527840 10855926400 11127324560 11265584000 11547223600 11569052000 11941519040 12094918000 12240057016 12644687000 12979912000 13304409800 13569908000 13909155700 14434029500 14926898800 15300071270 16185199360 16630512250 16795961600 17029644544 17386444625 17592608000 17803719296 18392272000 18475557760 18510483200 18658623500 19351868800 20082128000 20231499200 20994952000 21287055680 21711852800 22254649120 22531168000 23094447200 23138104000 23883038080 24189836000 24480114032 25289374000 25959824000 26608819600 27139816000 27818311400 28868059000 29853797600 30600142540 33261024500 34772889250 35607438592 36784544000 36951115520 37317247000 38250178175 38703737600 40164256000 40462998400 41989904000 42574111360 44509298240 46188894400 46276208000 47766076160 48379672000 48960228064 50578748000 51919648000 53217639200 54279632000 55636622800 57736118000 59707595200 61200285080 66522049000 69545778500 74634494000 76500356350 80925996800 83979808000 85148222720 89018596480 92377788800 92552416000 96759344000 97920456128 101157496000 106435278400 108559264000 111273245600 115472236000 119415190400 122400570160 133044098000 139091557000 149268988000 153000712700 178037192960 184755577600 191250890875 193518688000 195840912256 202314992000 212870556800 222546491200 230944472000 238830380800 244801140320 266088196000 278183114000 298537976000 306001425400 382501781750 391681824512 404629984000 425741113600 445092982400 461888944000 489602280640 532176392000 556366228000 597075952000 612002850800 765003563500 890185964800 923777888000 979204561280 1064352784000 1112732456000 1194151904000 1224005701600 1530007127000 1958409122560 2128705568000 2225464912000 2448011403200 3060014254000 4450929824000 4896022806400 6120028508000 9792045612800 12240057016000 24480114032000 48960228064000
- Sum of all divisors σ(n): 146370904557696
- Sum of proper divisors (its aliquot sum) s(n): 97410676493696
- 48960228064000 is an abundant number, because the sum of its proper divisors (97410676493696) is greater than itself. Its abundance is 48450448429696
Bases of 48960228064000
- Binary: 10110010000111011100010000000001111011000000002
- Hexadecimal: 0x2C8771007B00
- Base-36: HCS0NO934
Squares and roots of 48960228064000
- 48960228064000 squared (489602280640002) is 2397103932078893188096000000
- 48960228064000 cubed (489602280640003) is 117362755207693776129876209926144000000000
-
The
square root of 48960228064000 is 6997158.5707342663 -
The
cube root of 48960228064000 is 36583.1538984229
Scales and comparisons
How big is 48960228064000?- 48,960,228,064,000 seconds is equal to 1,556,783 years, 42 weeks, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 48,960,228,064,000 would take you about three million, eight hundred ninety-one thousand, nine hundred fifty-nine 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 48960228064000 cubic inches would be around 3048.6 feet tall.
Recreational maths with 48960228064000
- 48960228064000 backwards is 00046082206984
- The number of decimal digits it has is: 14
- The sum of 48960228064000's digits is 49
- More coming soon!
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The information we have on file for 48960228064000 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!
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