138237933084160
138,237,933,084,160 is an even composite number composed of seven prime numbers multiplied together.
138237933084160 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138237933084160:
29 × 5 × 72 × 13 × 192 × 432 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 13 × 19 × 19 × 43 × 43 × 127)See below for interesting mathematical facts about the number 138237933084160 from the Numbermatics database.
Names of 138237933084160
- Cardinal: 138237933084160 can be written as One hundred thirty-eight trillion, two hundred thirty-seven billion, nine hundred thirty-three million, eighty-four thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.3823793308416 × 1014
Factors of 138237933084160
Divisors of 138237933084160
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 26 28 32 35 38 40 43 49 52 56 64 65 70 76 80 86 91 95 98 104 112 127 128 130 133 140 152 160 172 182 190 196 208 215 224 245 247 254 256 260 266 280 301 304 320 344 361 364 380 392 416 430 448 455 490 494 508 512 520 532 559 560 602 608 635 637 640 665 688 722 728 760 784 817 832 860 889 896 910 931 980 988 1016 1040 1064 1118 1120 1204 1216 1235 1270 1274 1280 1330 1376 1444 1456 1505 1520 1568 1634 1651 1664 1720 1729 1778 1792 1805 1820 1849 1862 1960 1976 2032 2080 2107 2128 2236 2240 2408 2413 2432 2470 2527 2540 2548 2560 2660 2752 2795 2888 2912 3010 3040 3136 3185 3268 3302 3328 3440 3458 3556 3584 3610 3640 3698 3724 3913 3920 3952 4064 4085 4160 4214 4256 4445 4472 4480 4655 4693 4816 4826 4864 4940 5054 5080 5096 5320 5461 5504 5590 5719 5776 5824 6020 6080 6223 6272 6370 6536 6604 6656 6880 6916 7112 7220 7280 7396 7448 7826 7840 7904 8128 8170 8255 8320 8428 8512 8645 8890 8944 8960 9245 9310 9386 9632 9652 9728 9880 10108 10160 10192 10535 10621 10640 10922 11008 11180 11438 11552 11557 11648 12040 12065 12103 12160 12446 12544 12635 12740 12943 13072 13208 13760 13832 14224 14440 14560 14792 14896 15523 15652 15680 15808 16256 16340 16510 16640 16856 16891 17024 17290 17689 17780 17888 17920 18490 18620 18772 19264 19304 19565 19760 20216 20320 20384 21070 21242 21280 21844 22016 22360 22876 23104 23114 23296 23465 24037 24080 24130 24206 24320 24892 25088 25270 25480 25886 26144 26416 27305 27391 27520 27664 28448 28595 28880 29120 29584 29792 31046 31115 31304 31360 31369 31616 32512 32680 32851 33020 33280 33712 33782 34048 34580 35131 35378 35560 35776 36980 37240 37544 38227 38528 38608 39130 39520 40033 40432 40640 40768 42140 42484 42560 43688 44720 45752 45847 46208 46228 46592 46930 48074 48160 48260 48412 48640 49784 50540 50960 51772 52288 52832 53105 54610 54782 55040 55328 56896 57190 57760 57785 58240 59168 59584 60515 62092 62230 62608 62720 62738 63232 64715 65024 65360 65702 66040 67424 67564 68096 69160 70262 70756 70993 71120 71552 73960 74347 74480 75088 76454 77056 77216 77615 78260 79040 80066 80864 80899 81280 81536 84280 84455 84968 85120 87376 88445 89440 90601 91504 91694 92416 92456 93860 96148 96320 96520 96824 99568 101080 101920 103544 103759 104576 105664 106210 108661 109220 109564 110080 110656 113792 114380 115520 115570 116480 118237 118336 119168 120185 121030 124184 124460 125216 125440 125476 126464 129430 130720 131404 132080 134848 135128 136955 138320 140524 141512 141986 142240 143104 147920 148694 148960 150176 152908 154112 154432 155230 156520 156845 158080 160132 161728 161798 162560 163072 164255 168259 168560 168910 169936 170240 174752 175655 176890 178880 181202 183008 183388 184832 184912 187720 191135 192296 192640 193040 193648 199136 200165 201799 202160 203840 207088 207518 209152 211328 212420 217322 218440 219128 219583 221312 227584 228760 229235 229957 231040 231140 232960 234823 236474 236672 238336 240370 242060 245917 248368 248920 250432 250952 258860 261440 262808 264160 267589 269696 270256 273910 276640 281048 283024 283972 284480 286208 295840 297388 297920 300352 305816 308864 310460 313040 313690 316160 320264 320929 323456 323596 325120 326144 328510 336518 337120 337820 339872 340480 349504 351310 353780 354965 357760 362404 366016 366776 369824 371735 375440 382270 384592 385280 386080 387296 398272 400330 403598 404320 404495 407680 414176 415036 418304 422656 424840 434644 436880 438256 439166 442624 453005 455168 456703 457520 458470 459914 462080 462280 469646 472948 473344 476672 480740 484120 491834 496736 496951 497840 500864 501904 517720 518795 520429 522880 525616 528320 535178 539392 540512 543305 547820 553280 562096 566048 567944 568960 591185 591680 594776 595840 596011 600704 611632 617728 620920 626080 627380 632320 640528 641858 646912 647192 657020 667489 673036 674240 675640 679744 699008 702620 707560 709930 715520 724808 726313 732032 733552 739648 743470 750880 760627 764540 769184 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983731840 999406688 1009367552 1023014720 1025138920 1046622752 1052007040 1057511728 1068051712 1093101065 1101708160 1102024339 1103995760 1110701696 1113170240 1142179072 1150209536 1160025620 1168181560 1169159680 1186795442 1196140288 1196658008 1208584832 1214829980 1249258360 1255795177 1261709440 1265683328 1272194560 1301552896 1308278440 1321889660 1332298240 1335064640 1356337648 1367609152 1388377120 1427723840 1432220608 1435194488 1437761920 1472809856 1495175360 1495822510 1507600640 1510731040 1525788160 1545594064 1562981888 1582104160 1624035868 1626941120 1636823552 1640222272 1695422060 1700761972 1708771840 1709511440 1726549760 1748961704 1766393216 1781072384 1790275760 1793993110 1808119040 1841012320 1856040992 1859361280 1869090496 1931992580 1943727968 1947205120 1953727360 1967463680 1998813376 2030044835 2046029440 2050277840 2093245504 2104014080 2115023456 2125952465 2136103424 2186202130 2203416320 2204048678 2207991520 2221403392 2226340480 2284358144 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6042924160 6182376256 6278975885 6328416640 6496143472 6507764480 6560889088 6781688240 6803047888 6838045760 6995846816 7065572864 7161103040 7175972440 7364049280 7424163968 7476361984 7714170373 7727970320 7774911872 7814909440 7995253504 8120179340 8184117760 8201111360 8307568094 8372982016 8460093824 8503809860 8744808520 8816194712 8831966080 8905361920 9280204960 9345452480 9494363536 9573264064 9718639840 9994066880 10046361416 10466227520 10575117280 10680517120 10850701184 10940873216 11020243390 11107016960 11368251076 11421790720 11457764864 11481555904 11867954420 11961402880 11966580080 12085848320 12364752512 12557951770 12656833280 12992286944 13015528960 13121778176 13563376480 13606095776 13676091520 13991693632 14210313845 14322206080 14351944880 14728098560 14848327936 14952723968 15428340746 15455940640 15549823744 15990507008 16240358680 16402222720 16615136188 16745964032 16920187648 17007619720 17489617040 17632389424 17663932160 18560409920 18690904960 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80370891328 83075680940 83729820160 84600938240 88161947120 90946008608 91852447232 94943635360 95732640640 100463614160 103938295552 107998385222 108507011840 108848766208 111933549056 113682510760 114815559040 123426725968 123647525120 129922869440 132921089504 136060957760 139916936320 141059115392 148483279360 151909816576 154283407460 155498237440 160741782656 166151361880 169201876480 176323894240 181892017216 189887270720 191465281280 200927228320 207876591104 215996770444 217014023680 217697532416 227365021520 229631118080 246853451936 247295050240 259845738880 265842179008 269995963055 272121915520 279833872640 282118230784 303819633152 308566814920 321483565312 332302723760 352647788480 363784034432 379774541440 382930562560 401854456640 431993540888 454730043040 459262236160 493706903872 519691477760 531684358016 539991926110 544243831040 559667745280 564236461568 617133629840 642967130624 664605447520 705295576960 727568068864 759549082880 803708913280 863987081776 909460086080 987413807744 1039382955520 1063368716032 1079983852220 1088487662080 1234267259680 1329210895040 1410591153920 1455136137728 1519098165760 1607417826560 1727974163552 1818920172160 1974827615488 2126737432064 2159967704440 2468534519360 2658421790080 2821182307840 3214835653120 3455948327104 3637840344320 3949655230976 4319935408880 4937069038720 5316843580160 6911896654208 7275680688640 8639870817760 9874138077440 10633687160320 13823793308416 17279741635520 19748276154880 27647586616832 34559483271040 69118966542080 138237933084160
- Sum of all divisors σ(n): 452184149362176
- Sum of proper divisors (its aliquot sum) s(n): 313946216278016
- 138237933084160 is an abundant number, because the sum of its proper divisors (313946216278016) is greater than itself. Its abundance is 175708283193856
Bases of 138237933084160
- Binary: 111110110111010000001101110010101011110000000002
- Hexadecimal: 0x7DBA06E55E00
- Base-36: 1D01MO5S74
Squares and roots of 138237933084160
- 138237933084160 squared (1382379330841602) is 19109726143380697889642905600
- 138237933084160 cubed (1382379330841603) is 2641689043865283860588616912650471735296000
-
The
square root of 138237933084160 is 11757462.8676496359 -
The
cube root of 138237933084160 is 51706.1748606853
Scales and comparisons
How big is 138237933084160?- 138,237,933,084,160 seconds is equal to 4,395,538 years, 35 weeks, 8 hours, 42 minutes, 40 seconds.
-
To count from 1 to 138,237,933,084,160 would take you about ten million, nine hundred eighty-eight thousand, eight hundred forty-six 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 138237933084160 cubic inches would be around 4308.8 feet tall.
Recreational maths with 138237933084160
- 138237933084160 backwards is 061480339732831
- The number of decimal digits it has is: 15
- The sum of 138237933084160's digits is 58
- More coming soon!
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"Number 138237933084160 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 138237933084160 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138237933084160/
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Numbermatics. 2024. "Number 138237933084160 - Facts about the integer". https://numbermatics.com/n/138237933084160/
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