137386842968960
137,386,842,968,960 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137386842968960 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1536 divisors.
137386842968960 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 137386842968960:
27 × 5 × 13 × 31 × 37 × 53 × 612 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 31 × 37 × 53 × 61 × 61 × 73)See below for interesting mathematical facts about the number 137386842968960 from the Numbermatics database.
Names of 137386842968960
- Cardinal: 137386842968960 can be written as One hundred thirty-seven trillion, three hundred eighty-six billion, eight hundred forty-two million, nine hundred sixty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3738684296896 × 1014
Factors of 137386842968960
Divisors of 137386842968960
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 31 32 37 40 52 53 61 62 64 65 73 74 80 104 106 122 124 128 130 146 148 155 160 185 208 212 244 248 260 265 292 296 305 310 320 365 370 403 416 424 481 488 496 520 530 584 592 610 620 640 689 730 740 793 806 832 848 949 962 976 992 1040 1060 1147 1168 1184 1220 1240 1378 1460 1480 1586 1612 1643 1664 1696 1891 1898 1924 1952 1961 1984 2015 2080 2120 2257 2263 2294 2336 2368 2405 2440 2480 2701 2756 2920 2960 3172 3224 3233 3286 3392 3445 3721 3782 3796 3848 3869 3904 3922 3965 3968 4030 4160 4240 4453 4514 4526 4588 4672 4736 4745 4810 4880 4960 5402 5512 5735 5840 5920 6344 6448 6466 6572 6784 6890 7442 7564 7592 7696 7738 7808 7844 7930 8060 8215 8320 8480 8906 9028 9052 9176 9344 9455 9490 9620 9760 9805 9920 10804 11024 11285 11315 11470 11680 11840 12688 12896 12932 13144 13505 13780 14884 14911 15128 15184 15392 15476 15688 15860 16120 16165 16430 16960 17812 18056 18104 18352 18605 18910 18980 19240 19345 19520 19610 19840 21359 21608 22048 22265 22570 22630 22940 23360 23680 24583 25376 25493 25792 25864 26288 27010 27560 29341 29419 29768 29822 30256 30368 30784 30952 31376 31720 32240 32330 32860 33920 35113 35624 36112 36208 36704 37210 37820 37960 38480 38690 39040 39220 42029 42718 43216 44096 44530 45140 45260 45880 46720 48373 49166 50297 50752 50986 51584 51728 52576 54020 55120 57889 58682 58838 59536 59644 60512 60736 60791 61568 61904 62752 63440 64480 64660 65720 69967 70226 71248 72224 72416 73408 74420 74555 75640 75920 76960 77380 78440 83731 84058 85436 86432 88192 89060 90280 90520 91760 96746 98332 100223 100594 101504 101972 103456 105152 106795 108040 110240 115351 115778 117364 117676 119072 119288 119621 119939 121024 121472 121582 122915 123808 125504 126880 127465 128960 129320 131440 137677 138043 139934 140452 142496 143153 144448 144832 146705 146816 147095 148840 149110 151280 151840 153920 154760 156880 164761 167462 168116 170872 172864 175565 178120 180560 181040 183520 193492 196664 197213 200446 201188 203944 206912 210145 210304 213590 216080 220480 230702 231556 234728 235352 236009 238144 238576 239242 239878 241865 242048 243164 245830 247616 251008 251485 253760 254930 257920 258640 262880 271633 275354 276086 279868 280904 284992 286306 288896 289445 289664 293410 294190 297680 298220 302560 303680 303955 307840 309520 313760 329522 334924 336232 341744 345728 349835 351130 356240 361120 362080 367040 386984 393328 394426 400892 402376 407888 413824 418655 420290 427180 432160 440960 461404 463112 469456 470704 472018 476288 477152 478484 479756 483730 486328 491660 495232 501115 502970 507520 509860 517280 525760 543266 550708 552172 559736 561808 569984 572612 576755 578890 586820 588380 595360 596440 598105 599695 605120 607360 607910 619040 627520 659044 669848 672464 683488 688385 690215 699670 702260 712480 715765 722240 724160 734080 773968 786656 788852 790283 801784 804752 815776 823805 837310 840580 854360 864320 909571 922808 926224 938912 941408 944036 954304 956968 959512 967460 972656 983320 986065 1002230 1005940 1019720 1034560 1051520 1086532 1088503 1101416 1104344 1119472 1123616 1145224 1153510 1157780 1173640 1176760 1180045 1190720 1192880 1196210 1199390 1210240 1215820 1238080 1255040 1302899 1318088 1339696 1344928 1358165 1366976 1376770 1380430 1399340 1404520 1424960 1431530 1444480 1448320 1499563 1547936 1555073 1559207 1573312 1577704 1580566 1603568 1609504 1631552 1647610 1674620 1681160 1708720 1728640 1789801 1794559 1819142 1845616 1852448 1860989 1877824 1882816 1888072 1908608 1913936 1919024 1934920 1945312 1966640 1972130 2004460 2011880 2039440 2069120 2141893 2173064 2177006 2202832 2208688 2238944 2247232 2290448 2307020 2315560 2347280 2353520 2360090 2381440 2385760 2392420 2398780 2431640 2476160 2563769 2605798 2636176 2679392 2689856 2716330 2733952 2753540 2760860 2798680 2809040 2849920 2863060 2999126 3068117 3095872 3110146 3118414 3146624 3155408 3161132 3207136 3219008 3263104 3295220 3349240 3362320 3417440 3531229 3579602 3589118 3638284 3691232 3704896 3708251 3721978 3755648 3765632 3776144 3827872 3838048 3869840 3890624 3933280 3944260 3951415 4008920 4023760 4078880 4267987 4283786 4346128 4354012 4405664 4417376 4437743 4477888 4494464 4547855 4580896 4614040 4631120 4694560 4707040 4720180 4771520 4784840 4797560 4863280 5107591 5127538 5211596 5272352 5358784 5379712 5432660 5442515 5507080 5521720 5597360 5618080 5726120 5998252 6113603 6136234 6191744 6220292 6236828 6310816 6322264 6414272 6438016 6514495 6590440 6698480 6724640 6834880 7062458 7159204 7178236 7276568 7296881 7316279 7382464 7409792 7416502 7443956 7497815 7552288 7655744 7676096 7739680 7775365 7781248 7796035 7866560 7888520 7902830 8017840 8047520 8157760 8420623 8535974 8567572 8692256 8708024 8732333 8811328 8834752 8875486 8949005 8955776 8972795 9095710 9161792 9228080 9262240 9304945 9389120 9414080 9440360 9543040 9569680 9595120 9726560 10050421 10215182 10255076 10423192 10544704 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30681170 30958720 31101460 31184140 31554080 31611320 32071360 32190080 33682492 34143896 34270288 34769024 34832096 34929332 35312290 35501944 35796020 35891180 36382840 36484405 36581395 36912320 37048960 37082510 37219780 37761440 38278720 38380480 38906240 40201684 40860728 41020304 41692768 42103115 42679870 42837860 43461280 43540120 43661665 44056640 44173760 44377430 44778880 45808960 47986016 48207263 48908824 49089872 49762336 49894624 50252105 50578112 51075910 51275380 52115960 52723520 53587840 55483831 56499664 57273632 57425888 57586196 57690659 58212544 58375048 58530232 59332016 59551648 59982520 61136030 61362340 62202920 62368280 63108160 63222640 64142720 66398683 67364984 68287792 68540576 69664192 69858664 70624580 71003888 71592040 71782360 71982745 72765680 72968810 73162790 73824640 74165020 74439560 75522880 76557440 76760960 79476839 80403368 81721456 82040608 83385536 84206230 85359740 85675720 86922560 87080240 87323330 88113280 88347520 88754860 91617920 94859453 95111627 95972032 96414526 97817648 98179744 99524672 99789248 100504210 101156224 102151820 102550760 104231920 105447040 109468099 110967662 112999328 113520329 114547264 114851776 115172392 115381318 116425088 116750096 117060464 118664032 119103296 119965040 122272060 122724680 124405840 124736560 126216320 126445280 130655473 132797366 134729968 136575584 137081152 139328384 139717328 141249160 142007776 143184080 143564720 143965490 145531360 145937620 146325580 148330040 148879120 151045760 158953678 160806736 163442912 164081216 166771072 168412460 170719480 171351440 173845120 174160480 174646660 177509720 187155137 189718906 190223254 191944064 192829052 195635296 196359488 199049344 199578496 201008420 204303640 205101520 208463840 218936198 221935324 225998656 226203311 227040658 229094528 229703552 230344784 230762636 233500192 234120928 237328064 238206592 239930080 241036315 244544120 245449360 248811680 249473120 252890560 261310946 265594732 269459936 270702323 273151168 274162304 277419155 279434656 282498320 284015552 286368160 287129440 287930980 288453295 291062720 291875240 292651160 296660080 297758240 311563051 317907356 321613472 326885824 328162432 331993415 336824920 341438960 342702880 348320960 349293320 355019440 374310274 379437812 380446508 385658104 391270592 392718976 397384195 402016840 408607280 410203040 416927680 437872396 443870648 446293019 451997312 452406622 454081316 460689568 461525272 467000384 468241856 474297265 474656128 475558135 479860160 482072630 489088240 490898720 497623360 498946240 505781120 522621892 531189464 532672313 538919872 541404646 546302336 547340495 554838310 558869312 564996640 567601645 568031104 572736320 574258880 575861960 576906590 582125440 583750480 585302320 593320160 595516480 623126102 635814712 643226944 653277365 653771648 663986830 673649840 682877920 685405760 696641920 698586640 710038880 748620548 758875624 760893016 771316208 782541184 794768390 804033680 817214560 820406080 833855360 875744792 887741296 892586038 904813244 908162632 921379136 923050544 934000768 935775685 936483712 948594530 951116270 959720320 964145260 978176480 981797440 995246720 997892480 1045243784 1062378928 1065344626 1077839744 1082809292 1094680990 1109676620 1117738624 1129993280 1131016555 1135203290 1145472640 1148517760 1151723920 1153813180 1167500960 1170604640 1186640320 1191032960 1246252204 1271629424 1286453888 1306554730 1327973660 1347299680 1353511615 1365755840 1370811520 1397173280 1420077760 1497241096 1517751248 1521786032 1542632416 1557815255 1589536780 1608067360 1634429120 1640812160 1751489584 1775482592 1785172076 1809626488 1816325264 1842758272 1846101088 1871551370 1897189060 1902232540 1928290520 1956352960 1963594880 2090487568 2124757856 2130689252 2165618584 2189361980 2219353240 2231465095 2259986560 2262033110 2270406580 2303447840 2307626360 2335001920 2341209280 2373280640 2492504408 2543258848 2613109460 2655947320 2663361565 2694599360 2707023230 2731511680 2794346560 2840155520 2940643043 2994482192 3035502496 3043572064 3085264832 3115630510 3179073560 3216134720 3268858240 3502979168 3519130199 3550965184 3570344152 3619252976 3632650528 3692202176 3743102740 3794378120 3804465080 3856581040 3912705920 4050319663 4180975136 4249515712 4261378504 4331237168 4378723960 4438706480 4462930190 4524066220 4540813160 4606895680 4615252720 4670003840 4682418560 4985008816 5086517696 5226218920 5311894640 5326723130 5389198720 5414046460 5588693120 5801809247 5881286086 5988964384 6071004992 6087144128 6170529664 6231261020 6358147120 6432269440 6924740069 7005958336 7038260398 7101930368 7140688304 7238505952 7265301056 7384404352 7486205480 7588756240 7608930160 7713162080 8100639326 8361950272 8499031424 8522757008 8662474336 8757447920 8877412960 8925860380 9048132440 9081626320 9213791360 9230505440 9970017632 10173035392 10452437840 10623789280 10653446260 10828092920 11603618494 11762572172 11977928768 12142009984 12174288256 12462522040 12716294240 13849480138 14011916672 14076520796 14281376608 14477011904 14530602112 14703215215 14972410960 15177512480 15217860320 15426324160 16201278652 16512841703 16723900544 17045514016 17324948672 17514895840 17595650995 17754825920 17851720760 18096264880 18163252640 18461010880 19940035264 20251598315 20904875680 21247578560 21306892520 21656185840 23207236988 23525144344 23955857536 24925044080 25432588480 27698960276 28153041592 28562753216 28954023808 29009046235 29406430430 29944821920 30355024960 30435720640 30852648320 32402557304 33025683406 34091028032 34623700345 34649897344 35029791680 35191301990 35509651840 35703441520 36192529760 36326505280 36922021760 39880070528 40503196630 41809751360 42495157120 42613785040 43312371680 46414473976 47050288688 49850088160 50865176960 55397920552 56306083184 57125506432 58018092470 58812860860 59889643840 60710049920 60871441280 64805114608 66051366812 68182056064 69247400690 70059583360 70382603980 71406883040 72385059520 72653010560 81006393260 82564208515 83619502720 85227570080 86624743360 92828947952 94100577376 99700176320 110795841104 112612166368 116036184940 117625721720 119779287680 129610229216 132102733624 138494801380 140765207960 142813766080 144770119040 162012786520 165128417030 170455140160 173249486720 185657895904 188201154752 199400352640 214666942139 221591682208 225224332736 232072369880 235251443440 259220458432 264205467248 276989602760 281530415920 285627532160 324025573040 330256834060 340910280320 371315791808 376402309504 429333884278 443183364416 450448665472 464144739760 470502886880 518440916864 528410934496 553979205520 563060831840 648051146080 660513668120 742631583616 858667768556 886366728832 928289479520 941005773760 1056821868992 1073334710695 1107958411040 1126121663680 1296102292160 1321027336240 1717335537112 1856578959040 1882011547520 2113643737984 2146669421390 2215916822080 2252243327360 2592204584320 2642054672480 3434671074224 3713157918080 4293338842780 4431833644160 5284109344960 6869342148448 8586677685560 10568218689920 13738684296896 17173355371120 27477368593792 34346710742240 68693421484480 137386842968960
- Sum of all divisors σ(n): 393744828072960
- Sum of proper divisors (its aliquot sum) s(n): 256357985104000
- 137386842968960 is an abundant number, because the sum of its proper divisors (256357985104000) is greater than itself. Its abundance is 118971142135040
Bases of 137386842968960
- Binary: 111110011110011110111011111100011010011100000002
- Hexadecimal: 0x7CF3DDF8D380
- Base-36: 1CP6N72WE8
Squares and roots of 137386842968960
- 137386842968960 squared (1373868429689602) is 18875144620977673787523481600
- 137386842968960 cubed (1373868429689603) is 2593196530058669686116556931027859931136000
-
The
square root of 137386842968960 is 11721213.3744318467 -
The
cube root of 137386842968960 is 51599.8431290625
Scales and comparisons
How big is 137386842968960?- 137,386,842,968,960 seconds is equal to 4,368,476 years, 33 weeks, 2 days, 7 hours, 49 minutes, 20 seconds.
-
To count from 1 to 137,386,842,968,960 would take you about ten million, nine hundred twenty-one thousand, one hundred ninety-one 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 137386842968960 cubic inches would be around 4300 feet tall.
Recreational maths with 137386842968960
- 137386842968960 backwards is 069869248683731
- 137386842968960 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137386842968960's digits is 80
- More coming soon!
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"Number 137386842968960 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 137386842968960 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/137386842968960/
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The information we have on file for 137386842968960 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 137386842968960, math, Factors of 137386842968960, curriculum, school, college, exams, university, Prime factorization of 137386842968960, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, three hundred eighty-six billion, eight hundred forty-two million, nine hundred sixty-eight thousand, nine hundred sixty.