3948345724158720

Names of 3948345724158720

• Cardinal: 3948345724158720 can be written as Three quadrillion, nine hundred forty-eight trillion, three hundred forty-five billion, seven hundred twenty-four million, one hundred fifty-eight thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 3.94834572415872 × 10¹⁵

Factors of 3948345724158720

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2874599

Divisors of 3948345724158720

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 239 240 256 288 320 360 384 478 480 499 576 640 717 720 768 956 960 998 1152 1195 1280 1434 1440 1497 1912 1920 1996 2151 2304 2390 2495 2868 2880 2994 3585 3824 3840 3992 4302 4491 4780 4990 5736 5760 5988 7170 7485 7648 7984 8604 8982 9560 9980 10755 11472 11520 11976 14340 14970 15296 15968 17208 17964 19120 19960 21510 22455 22944 23952 28680 29940 30592 31936 34416 35928 38240 39920 43020 44910 45888 47904 57360 59880 61184 63872 68832 71856 76480 79840 86040 89820 91776 95808 114720 119261 119760 127744 137664 143712 152960 159680 172080 179640 183552 191616 229440 238522 239520 275328 287424 305920 319360 344160 357783 359280 383232 458880 477044 479040 550656 574848 596305 638720 688320 715566 718560 917760 954088 958080 1073349 1149696 1192610 1376640 1431132 1437120 1788915 1908176 1916160 2146698 2385220 2753280 2862264 2873851 2874240 3577830 3816352 4293396 4770440 5366745 5724528 5747702 5748480 7155660 7632704 8586792 8621553 9540880 10733490 11449056 11495404 14311320 14369255 15265408 17173584 17243106 19081760 21466980 22898112 22990808 25864659 28622640 28738510 30530816 34347168 34486212 38163520 42933960 43107765 45796224 45981616 51729318 57245280 57477020 68694336 68972424 76327040 85867920 86215530 91592448 91963232 103458636 114490560 114954040 129323295 137388672 137944848 152654080 171735840 172431060 183926464 206917272 228981120 229908080 258646590 274777344 275889696 343471680 344862120 367852928 413834544 457962240 459816160 517293180 551779392 686850389 686943360 689724240 735705856 827669088 919632320 1034586360 1103558784 1373700778 1373886720 1379448480 1434051649 1655338176 1839264640 2060551167 2069172720 2207117568 2747401556 2758896960 2868103298 3310676352 3434251945 3678529280 4121102334 4138345440 4302154947 5494803112 5517793920 5736206596 6181653501 6621352704 6868503890 7170258245 8242204668 8276690880 8604309894 10302755835 10989606224 11035587840 11472413192 12363307002 12906464841 13737007780 14340516490 16484409336 16553381760 17208619788 20605511670 21510774735 21979212448 22944826384 24726614004 25812929682 27474015560 28681032980 30908267505 32968818672 33106763520 34417239576 41211023340 43021549470 43958424896 45889652768 49453228008 51625859364 54948031120 57362065960 61816535010 64532324205 65937637344 68834479152 82422046680 86043098940 87916849792 91779305536 98906456016 103251718728 109896062240 114724131920 123633070020 129064648410 131875274688 137668958304 164844093360 172086197880 175833699584 183558611072 197812912032 206503437456 219792124480 229448263840 247266140040 258129296820 263750549376 275337916608 329688186720 342738344111 344172395760 367117222144 395625824064 413006874912 439584248960 458896527680 494532280080 516258593640 527501098752 550675833216 659376373440 685476688222 688344791520 791251648128 826013749824 879168497920 917793055360 989064560160 1028215032333 1032517187280 1101351666432 1318752746880 1370953376444 1376689583040 1582503296256 1652027499648 1713691720555 1835586110720 1978129120320 2056430064666 2065034374560 2637505493760 2741906752888 2753379166080 3084645096999 3304054999296 3427383441110 3956258240640 4112860129332 4130068749120 5141075161665 5483813505776 5506758332160 6169290193998 6854766882220 7912516481280 8225720258664 8260137498240 10282150323330 10967627011552 12338580387996 13709533764440 15423225484995 16451440517328 16520274996480 20564300646660 21935254023104 24677160775992 27419067528880 30846450969990 32902881034656 41128601293320 43870508046208 49354321551984 54838135057760 61692901939980 65805762069312 82257202586640 87741016092416 98708643103968 109676270115520 123385803879960 131611524138624 164514405173280 197417286207936 219352540231040 246771607759920 263223048277248 329028810346560 394834572415872 438705080462080 493543215519840 658057620693120 789669144831744 987086431039680 1316115241386240 1974172862079360 3948345724158720
• Sum of all divisors σ(n): 13745519161920000
• Sum of proper divisors (its aliquot sum) s(n): 9797173437761280
• 3948345724158720 is an abundant number, because the sum of its proper divisors (9797173437761280) is greater than itself. Its abundance is 5848827713602560

Bases of 3948345724158720

• Binary: 1110000001101111111111100000010101101100001100000000₂
• Hexadecimal: 0xE06FFE056C300
• Base-36: 12VKKZGWCG0

Squares and roots of 3948345724158720

• 3948345724158720 squared (3948345724158720²) is 15589433957482447042651752038400
• 3948345724158720 cubed (3948345724158720³) is 61552474908080572543642104776534609885134848000
• The square root of 3948345724158720 is 62835863.3596986555
• The cube root of 3948345724158720 is 158053.8421978987

Scales and comparisons

• 3,948,345,724,158,720 seconds is equal to 125,545,180 years, 51 weeks, 4 days, 11 hours, 12 minutes.
• To count from 1 to 3,948,345,724,158,720 would take you about three hundred seventy-six million, six hundred thirty-five thousand, five hundred forty-two 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 3948345724158720 cubic inches would be around 13171.2 feet tall.

Recreational maths with 3948345724158720

• 3948345724158720 backwards is 0278514275438493
• 3948345724158720 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 3948345724158720's digits is 72
• More coming soon!