138071005528960
138,071,005,528,960 is an even composite number composed of six prime numbers multiplied together.
138071005528960 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 138071005528960:
27 × 5 × 75 × 192 × 312 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 7 × 7 × 19 × 19 × 31 × 31 × 37)See below for interesting mathematical facts about the number 138071005528960 from the Numbermatics database.
Names of 138071005528960
- Cardinal: 138071005528960 can be written as One hundred thirty-eight trillion, seventy-one billion, five million, five hundred twenty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3807100552896 × 1014
Factors of 138071005528960
Divisors of 138071005528960
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 28 31 32 35 37 38 40 49 56 62 64 70 74 76 80 95 98 112 124 128 133 140 148 152 155 160 185 190 196 217 224 245 248 259 266 280 296 304 310 320 343 361 370 380 392 434 448 490 496 518 532 560 589 592 608 620 640 665 686 703 722 740 760 784 868 896 931 961 980 992 1036 1064 1085 1120 1147 1178 1184 1216 1240 1295 1330 1372 1406 1444 1480 1519 1520 1568 1715 1736 1805 1813 1862 1922 1960 1984 2072 2128 2170 2240 2294 2356 2368 2401 2432 2480 2527 2590 2660 2744 2812 2888 2945 2960 3038 3040 3136 3430 3472 3515 3610 3626 3724 3844 3920 3968 4123 4144 4256 4340 4480 4588 4655 4712 4736 4802 4805 4921 4960 5054 5180 5320 5488 5624 5735 5776 5890 5920 6076 6080 6272 6517 6727 6860 6944 7030 7220 7252 7448 7595 7688 7840 8029 8246 8288 8512 8680 9065 9176 9310 9424 9604 9610 9842 9920 10108 10360 10633 10640 10976 11191 11248 11470 11552 11780 11840 12005 12152 12160 12635 12691 13034 13357 13454 13720 13888 14060 14440 14504 14896 15190 15376 15680 16058 16492 16576 16807 17024 17360 17689 18130 18259 18352 18620 18848 19208 19220 19684 19840 20216 20615 20720 21266 21280 21793 21952 22382 22496 22940 23104 23560 23680 24010 24304 24605 25270 25382 26068 26714 26908 27440 27776 28120 28861 28880 29008 29792 30380 30752 31360 32116 32585 32984 33152 33614 33635 34447 34720 35378 35557 36260 36518 36704 37240 37696 38416 38440 39368 40145 40432 41230 41440 42532 42560 43586 43904 44764 44992 45619 45880 46208 47089 47120 48020 48608 49210 50540 50764 52136 53165 53428 53816 54880 55955 56203 56240 57722 57760 58016 59584 60760 61504 63455 64232 65170 65968 66785 67228 67270 68894 69440 70756 71114 72520 73036 73408 74431 74480 75392 76832 76880 78337 78736 80290 80864 82460 82880 84035 85064 85120 87172 88445 88837 89528 89984 91238 91295 91760 93499 94178 94240 96040 97216 98420 101080 101528 104272 106330 106856 107632 108965 109760 111910 112406 112480 115444 115520 116032 119168 121520 123008 123823 126910 127813 128464 130340 131936 133570 134456 134540 137788 138880 141512 142228 144305 145040 146072 146816 148862 148960 152551 153664 153760 156674 157472 160580 161728 164920 165760 168070 170128 172235 174344 176890 177674 177785 179056 182476 182590 183520 186998 188356 188480 192080 194432 196840 202027 202160 203056 208544 212660 213712 215264 217930 219520 223820 224812 224960 228095 230888 231040 232064 235445 241129 243040 247646 248899 253820 255626 256928 260680 263872 267140 268912 269080 275576 281015 283024 284456 288610 290080 292144 297724 297920 305102 307328 307520 313348 314944 319333 321160 323456 329623 329840 336140 340256 344470 346921 348688 353780 355348 355570 358112 364952 365180 367040 372155 373996 376712 376960 384160 391685 393421 393680 404054 404320 406112 414067 417088 425320 427424 430528 435860 444185 447640 449624 449920 456190 461776 467495 470890 482258 486080 495292 497798 507640 511252 513856 521017 521360 527744 534280 537824 538160 548359 551152 562030 566048 568912 577220 580160 584288 595448 595840 610204 615040 619115 621859 626696 629888 638666 639065 642320 654493 659246 659680 672280 675583 680512 688940 693842 697376 707560 710696 711140 716224 729904 730360 734080 744310 747992 753424 762755 768320 783370 786842 787360 808108 808640 812224 828134 834176 850640 854848 861056 866761 871720 888370 894691 895280 899248 912380 923552 934990 941780 964516 972160 990584 995596 1010135 1015280 1022504 1027712 1042034 1042720 1067857 1068560 1075648 1076320 1096718 1102304 1124060 1132096 1137824 1154440 1160320 1168576 1190896 1205645 1220408 1238230 1243718 1244495 1253392 1277332 1278130 1284640 1308986 1318492 1319360 1344560 1351166 1361024 1377880 1387684 1394752 1414189 1415120 1421392 1422280 1432448 1459808 1460720 1488620 1495984 1506848 1525510 1536640 1566740 1573684 1574720 1596665 1616216 1617280 1624448 1648115 1656268 1687903 1701280 1709696 1733522 1734605 1742293 1743440 1776740 1789382 1790560 1798496 1824760 1847104 1869980 1883560 1929032 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265002880 268695910 270064480 271986064 277363520 278766880 284049962 286301120 293212864 295342208 298999960 302661184 306879013 307081040 308442064 310841216 316778336 320701570 323030540 324628528 331035670 333450880 339982580 341489428 341714240 350718872 350949760 352505216 359410156 366274951 366516080 369177760 371004032 376174274 378090272 378326480 385552580 388308928 388551520 390273632 395972920 397989760 400821568 405785660 410754464 418599944 418875520 426861785 429913456 432373120 438398590 440631520 448982198 449262695 452540480 463449938 463755040 472612840 475975612 478399936 485386160 487842040 491329664 501026960 513122512 513443080 516848864 523249930 529657072 537391820 540128960 543972128 554727040 557533760 568099924 572602240 586425728 594969515 597606499 597999920 605322368 613758026 614162080 616884128 628967773 633556672 641403140 646061080 649257056 662071340 679965160 682978856 683428480 701437744 710124905 718820312 732549902 733032160 738355520 752348548 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7325499020 7415199008 7523485480 7561805440 7615609792 7805472640 7953398936 8110373915 8215089280 8329573210 8371998880 8598269120 8805548822 8979643960 9089598784 9268998760 9519512240 9561703984 9820128416 9941748670 10063484368 10262450240 10336977280 10593141440 10879442560 10927661696 11354523481 11361998480 11501124992 11661402494 11720798432 11952129980 12037576768 12275160520 12337682560 12579355460 12976598264 12985141120 13327317136 13659577120 13918448138 14028754880 14367430336 14376406240 14650998040 14830398016 15046970960 15231219584 15906797872 16220747830 16659146420 16743997760 17196538240 17611097644 17959287920 18179197568 18537997520 19039024480 19123407968 19640256832 19883497340 20126968736 20524900480 21186282880 22013872055 22709046962 22723996960 23322804988 23441596864 23904259960 24075153536 24550321040 25158710920 25953196528 26654634272 27319154240 27836896276 28057509760 28734860672 28752812480 29153506235 29301996080 29660796032 30093941920 30819420877 31813595744 32441495660 33318292840 33487995520 34796120345 35222195288 35918575840 37075995040 38078048960 38246815936 39280513664 39766994680 40253937472 44027744110 45418093924 45447993920 46645609976 46883193728 47808519920 49100642080 50317421840 51906393056 53309268544 54638308480 55673792552 56772617405 57505624960 58307012470 58603992160 60187883840 61638841754 63627191488 64882991320 66636585680 69592240690 70444390576 71837151680 74151990080 76156097920 76493631872 79533989360 80507874944 88055488220 90836187848 90895987840 93291219952 95617039840 98201284160 100634843680 103812786112 106618537088 111347585104 113545234810 116614024940 117207984320 120375767680 123277683508 127254382976 129765982640 133273171360 139184481380 140888781152 143674303360 148303980160 154097104385 159067978720 176110976440 181672375696 186582439904 191234079680 196402568320 201269687360 207625572224 215735946139 222695170208 227090469620 233228049880 234415968640 246555367016 259531965280 266546342720 278368962760 281777562304 308194208770 318135957440 352221952880 363344751392 373164879808 382468159360 402539374720 431471892278 445390340416 454180939240 466456099760 493110734032 519063930560 533092685440 556737925520 563555124608 616388417540 636271914880 704443905760 726689502784 746329759616 862943784556 890780680832 908361878480 932912199520 986221468064 1038127861120 1078679730695 1113475851040 1232776835080 1408887811520 1453379005568 1725887569112 1816723756960 1865824399040 1972442936128 2157359461390 2226951702080 2465553670160 2817775623040 3451775138224 3633447513920 3731648798080 3944885872256 4314718922780 4453903404160 4931107340320 6903550276448 7266895027840 8629437845560 9862214680640 13807100552896 17258875691120 19724429361280 27614201105792 34517751382240 69035502764480 138071005528960
- Sum of all divisors σ(n): 431303070396960
- Sum of proper divisors (its aliquot sum) s(n): 293232064868000
- 138071005528960 is an abundant number, because the sum of its proper divisors (293232064868000) is greater than itself. Its abundance is 155161059339040
Bases of 138071005528960
- Binary: 111110110010011001010010011110100000011100000002
- Hexadecimal: 0x7D93293D0380
- Base-36: 1CXWXZSY9S
Squares and roots of 138071005528960
- 138071005528960 squared (1380710055289602) is 19063602567778102889398681600
- 138071005528960 cubed (1380710055289603) is 2632130775537586497184585118563334619136000
-
The
square root of 138071005528960 is 11750361.9318283131 -
The
cube root of 138071005528960 is 51685.3540877385
Scales and comparisons
How big is 138071005528960?- 138,071,005,528,960 seconds is equal to 4,390,230 years, 46 weeks, 3 days, 11 hours, 22 minutes, 40 seconds.
-
To count from 1 to 138,071,005,528,960 would take you about ten million, nine hundred seventy-five thousand, five hundred seventy-seven 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 138071005528960 cubic inches would be around 4307.1 feet tall.
Recreational maths with 138071005528960
- 138071005528960 backwards is 069825500170831
- The number of decimal digits it has is: 15
- The sum of 138071005528960's digits is 55
- More coming soon!
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"Number 138071005528960 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
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Numbermatics. (2024). Number 138071005528960 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/138071005528960/
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The information we have on file for 138071005528960 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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