47198138637312

Names of 47198138637312

• Cardinal: 47198138637312 can be written as Forty-seven trillion, one hundred ninety-eight billion, one hundred thirty-eight million, six hundred thirty-seven thousand, three hundred twelve.

Scientific notation

• Scientific notation: 4.7198138637312 × 10¹³

Factors of 47198138637312

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2595

Divisors of 47198138637312

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 64 72 74 78 96 104 111 117 128 144 148 156 169 192 208 222 234 256 288 296 312 333 338 379 384 416 444 468 481 507 512 576 592 624 666 676 758 768 832 888 936 962 1014 1024 1137 1152 1184 1248 1332 1352 1443 1516 1521 1536 1664 1776 1872 1924 2028 2161 2274 2304 2368 2496 2664 2704 2886 3032 3042 3072 3328 3411 3552 3744 3848 4056 4322 4329 4548 4608 4736 4927 4992 5328 5408 5772 6064 6084 6253 6483 6656 6822 7104 7488 7696 8112 8644 8658 9096 9216 9472 9854 9984 10656 10816 11544 12128 12168 12506 12966 13312 13644 14023 14208 14781 14976 15392 16224 17288 17316 18192 18759 18944 19449 19708 19968 21312 21632 23088 24256 24336 25012 25932 27288 28046 28093 28416 29562 29952 30784 32448 34576 34632 36384 37518 37888 38898 39416 39936 42069 42624 43264 44343 46176 48512 48672 50024 51864 54576 56092 56186 56277 56832 59124 59904 61568 64051 64896 69152 69264 72768 75036 77796 78832 79957 84138 84279 85248 86528 88686 92352 97024 97344 100048 103728 109152 112184 112372 112554 113664 118248 119808 123136 126207 128102 129792 138304 138528 145536 150072 155592 157664 159914 168276 168558 170496 173056 177372 182299 184704 192153 194048 194688 200096 207456 218304 224368 224744 225108 236496 239871 246272 252414 252837 256204 259584 276608 277056 291072 300144 311184 315328 319828 336552 337116 340992 354744 364598 365209 369408 384306 388096 389376 400192 414912 436608 448736 449488 450216 472992 479742 492544 504828 505674 512408 519168 546897 553216 554112 576459 582144 600288 622368 630656 639656 673104 674232 709488 719613 729196 730418 738816 768612 778752 800384 819019 829824 873216 897472 898976 900432 945984 959484 1009656 1011348 1024816 1039441 1093794 1095627 1106432 1108224 1152918 1164288 1200576 1244736 1261312 1279312 1346208 1348464 1418976 1439226 1458392 1460836 1477632 1537224 1557504 1600768 1638038 1640691 1659648 1746432 1794944 1797952 1800864 1891968 1918968 2019312 2022696 2049632 2078882 2187588 2191254 2212864 2216448 2305836 2369887 2401152 2457057 2489472 2522624 2558624 2692416 2696928 2837952 2878452 2916784 2921672 3074448 3118323 3201536 3276076 3281382 3286881 3319296 3492864 3589888 3595904 3601728 3783936 3837936 4038624 4045392 4099264 4157764 4375176 4382508 4432896 4611672 4739774 4802304 4914114 4978944 5045248 5117248 5384832 5393856 5675904 5756904 5833568 5843344 6148896 6236646 6403072 6552152 6562764 6573762 6638592 7109661 7179776 7191808 7203456 7371171 7567872 7675872 8077248 8090784 8198528 8315528 8750352 8765016 9223344 9354969 9479548 9604608 9828228 9957888 10234496 10647247 10769664 10787712 11351808 11513808 11667136 11686688 12297792 12473292 13104304 13125528 13147524 13512733 14219322 14359552 14383616 14406912 14742342 15135744 15351744 16154496 16181568 16397056 16631056 17500704 17530032 18446688 18709938 18959096 19209216 19656456 19915776 20468992 21294494 21328983 21539328 21575424 22703616 23027616 23334272 23373376 24595584 24946584 26208608 26251056 26295048 27025466 28438644 28767232 28813824 29484684 30303703 30703488 31941741 32308992 32363136 32794112 33262112 35001408 35060064 36893376 37419876 37918192 39312912 40538199 40937984 42588988 42657966 43078656 43150848 45407232 46055232 46668544 46746752 49191168 49893168 52417216 52502112 52590096 54050932 56877288 57627648 58969368 60607406 61406976 63883482 64617984 64726272 65588224 66524224 70002816 70120128 73786752 74839752 75836384 78625824 81076398 81875968 85177976 85315932 86301696 90911109 92110464 93337088 93493504 95825223 98382336 99786336 104834432 105004224 105180192 108101864 113754576 117938736 121214812 121614597 122813952 127766964 129235968 129452544 133048448 138414211 140005632 140240256 147573504 149679504 151672768 157251648 162152796 170355952 170631864 181822218 184220928 186674176 186987008 191650446 196764672 199572672 209668864 210008448 210360384 216203728 227509152 235877472 242429624 243229194 245627904 255533928 258905088 266096896 272733327 276828422 280011264 280480512 295147008 299359008 303345536 314503296 324305592 340711904 341263728 363644436 368441856 373974016 383300892 393948139 399145344 415242633 419337728 420016896 420720768 432407456 455018304 471754944 484859248 486458388 511067856 532193792 545466654 553656844 560022528 560961024 590294016 598718016 606691072 629006592 648611184 681423808 682527456 727288872 736883712 766601784 787896278 798290688 830485266 838675456 840033792 841441536 864814912 910036608 943509888 969718496 972916776 1022135712 1064387584 1090933308 1107313688 1121922048 1181844417 1197436032 1213382144 1245727899 1258013184 1297222368 1362847616 1365054912 1454577744 1533203568 1575792556 1596581376 1660970532 1680067584 1682883072 1729629824 1820073216 1887019776 1939436992 1945833552 2044271424 2181866616 2214627376 2363688834 2394872064 2426764288 2491455798 2516026368 2594444736 2725695232 2730109824 2909155488 3066407136 3151585112 3193162752 3321941064 3365766144 3459259648 3545533251 3640146432 3774039552 3878873984 3891667104 4088542848 4363733232 4429254752 4727377668 4789744128 4982911596 5121325807 5188889472 5451390464 5460219648 5818310976 6132814272 6303170224 6643882128 6918519296 7091066502 7280292864 7548079104 7757747968 7783334208 8177085696 8727466464 8858509504 9454755336 9579488256 9965823192 10242651614 10377778944 10902780928 10920439296 11636621952 12265628544 12606340448 13287764256 13837038592 14182133004 15363977421 15515495936 15566668416 16354171392 17454932928 17717019008 18909510672 19931646384 20485303228 20755557888 21840878592 23273243904 24531257088 25212680896 26575528512 28364266008 30727954842 31030991872 31133336832 32708342784 34909865856 35434038016 37819021344 39863292768 40970606456 41511115776 46091932263 46546487808 49062514176 50425361792 53151057024 56728532016 61455909684 62266673664 69819731712 70868076032 75638042688 79726585536 81941212912 92183864526 93092975616 98125028352 100850723584 106302114048 113457064032 122911819368 124533347328 139639463424 141736152064 151276085376 159453171072 163882425824 184367729052 201701447168 212604228096 226914128064 245823638736 279278926848 302552170752 318906342144 327764851648 368735458104 403402894336 425208456192 453828256128 491647277472 605104341504 637812684288 655529703296 737470916208 907656512256 983294554944 1210208683008 1275625368576 1311059406592 1474941832416 1815313024512 1966589109888 2622118813184 2949883664832 3630626049024 3933178219776 5244237626368 5899767329664 7866356439552 11799534659328 15732712879104 23599069318656 47198138637312
• Sum of all divisors σ(n): 152032055594640
• Sum of proper divisors (its aliquot sum) s(n): 104833916957328
• 47198138637312 is an abundant number, because the sum of its proper divisors (104833916957328) is greater than itself. Its abundance is 57635778320016

Bases of 47198138637312

• Binary: 1010101110110100101100010010011001110000000000₂
• Hexadecimal: 0x2AED2C499C00
• Base-36: GQAIX4HS0

Squares and roots of 47198138637312

• 47198138637312 squared (47198138637312²) is 2227664290826923856278585344
• 47198138637312 cubed (47198138637312³) is 105141608035838470799617334203507254755328
• The square root of 47198138637312 is 6870090.1476845265
• The cube root of 47198138637312 is 36138.9023202309

Scales and comparisons

• 47,198,138,637,312 seconds is equal to 1,500,754 years, 42 weeks, 2 days, 17 hours, 55 minutes, 12 seconds.
• To count from 1 to 47,198,138,637,312 would take you about three million, seven hundred fifty-one thousand, eight hundred eighty-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 47198138637312 cubic inches would be around 3011.6 feet tall.

Recreational maths with 47198138637312

• 47198138637312 backwards is 21373683189174
• The number of decimal digits it has is: 14
• The sum of 47198138637312's digits is 63
• More coming soon!