47738142565132032

Names of 47738142565132032

• Cardinal: 47738142565132032 can be written as Forty-seven quadrillion, seven hundred thirty-eight trillion, one hundred forty-two billion, five hundred sixty-five million, one hundred thirty-two thousand and thirty-two.

Scientific notation

• Scientific notation: 4.7738142565132032 × 10¹⁶

Factors of 47738142565132032

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2608545946

Divisors of 47738142565132032

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 47 48 52 64 72 78 94 96 104 117 128 141 144 156 169 188 192 208 234 256 282 288 312 338 376 384 416 423 468 507 564 576 611 624 676 752 768 832 846 936 1014 1128 1152 1222 1248 1352 1504 1521 1664 1692 1833 1872 2028 2256 2304 2444 2496 2704 3008 3042 3328 3384 3666 3744 4056 4512 4888 4992 5408 5499 6016 6084 6768 7332 7488 7943 8112 9024 9776 9984 10816 10998 12032 12168 13536 14664 14976 15886 16224 18048 19552 21632 21996 23829 24336 27072 29328 29952 31772 32448 36096 39104 43264 43992 47658 48672 54144 58656 63544 64896 71487 78208 87984 95316 97344 108288 117312 127088 129792 142974 156416 175968 190632 194688 234624 254176 285948 351936 381264 389376 469248 508352 571896 703872 762528 1016704 1143792 1407744 1525056 2033408 2287584 3050112 4575168 6100224 9150336 18300672 2608545881 5217091762 7825637643 10434183524 15651275286 20868367048 23476912929 31302550572 33911096453 41736734096 46953825858 62605101144 67822192906 83473468192 93907651716 101733289359 122601656407 125210202288 135644385812 166946936384 187815303432 203466578718 245203312814 250420404576 271288771624 305199868077 333893872768 367804969221 375630606864 406933157436 440844253889 490406625628 500840809152 542577543248 610399736154 667787745536 735609938442 751261213728 813866314872 881688507778 980813251256 1001681618304 1085155086496 1103414907663 1220799472308 1322532761667 1471219876884 1502522427456 1593821533291 1627732629744 1763377015556 1961626502512 2003363236608 2170310172992 2206829815326 2441598944616 2645065523334 2942439753768 3005044854912 3187643066582 3255465259488 3526754031112 3923253005024 3967598285001 4340620345984 4413659630652 4781464599873 4883197889232 5290131046668 5884879507536 6010089709824 6375286133164 6510930518976 7053508062224 7846506010048 7935196570002 8681240691968 8827319261304 9562929199746 9766395778464 10580262093336 11769759015072 12750572266328 13021861037952 14107016124448 14344393799619 15693012020096 15870393140004 17654638522608 19125858399492 19532791556928 20719679932783 21160524186672 23539518030144 25501144532656 26043722075904 28214032248896 28688787599238 31386024040192 31740786280008 35309277045216 38251716798984 39065583113856 41439359865566 42321048373344 47079036060288 51002289065312 56428064497792 57377575198476 62159039798349 63481572560016 70618554090432 76503433597968 78131166227712 82878719731132 84642096746688 94158072120576 102004578130624 112856128995584 114755150396952 124318079596698 126963145120032 141237108180864 153006867195936 165757439462264 169284193493376 186477119395047 204009156261248 229510300793904 248636159193396 253926290240064 282474216361728 306013734391872 331514878924528 338568386986752 372954238790094 408018312522496 459020601587808 497272318386792 507852580480128 612027468783744 663029757849056 745908477580188 918041203175616 994544636773584 1015705160960256 1224054937567488 1326059515698112 1491816955160376 1836082406351232 1989089273547168 2652119031396224 2983633910320752 3672164812702464 3978178547094336 5304238062792448 5967267820641504 7956357094188672 11934535641283008 15912714188377344 23869071282566016 47738142565132032
• Sum of all divisors σ(n): 152214161463602784
• Sum of proper divisors (its aliquot sum) s(n): 104476018898470752
• 47738142565132032 is an abundant number, because the sum of its proper divisors (104476018898470752) is greater than itself. Its abundance is 56737876333338720

Bases of 47738142565132032

• Binary: 10101001100110011001011001110101110101001110011100000000₂
• Hexadecimal: 0xA9999675D4E700
• Base-36: D21RBXSYPS0

Squares and roots of 47738142565132032

• 47738142565132032 squared (47738142565132032²) is 2278930255568870704103301592449024
• 47738142565132032 cubed (47738142565132032³) is 108791897436339526568038611044327202322960789536768
• The square root of 47738142565132032 is 218490600.6333728579
• The cube root of 47738142565132032 is 362762.0429578931

Scales and comparisons

• 47,738,142,565,132,032 seconds is equal to 1,517,925,269 years, 41 weeks, 4 days, 13 hours, 7 minutes, 12 seconds.
• To count from 1 to 47,738,142,565,132,032 would take you about four billion, five hundred fifty-three million, seven hundred seventy-five thousand, eight hundred 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 47738142565132032 cubic inches would be around 30230.2 feet tall.

Recreational maths with 47738142565132032

• 47738142565132032 backwards is 23023156524183774
• The number of decimal digits it has is: 17
• The sum of 47738142565132032's digits is 63
• More coming soon!