46807120800768

Names of 46807120800768

• Cardinal: 46807120800768 can be written as Forty-six trillion, eight hundred seven billion, one hundred twenty million, eight hundred thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.6807120800768 × 10¹³

Factors of 46807120800768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 212

Divisors of 46807120800768

• Number of divisors d(n): 594
• Complete list of divisors:
  1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 64 68 96 102 106 128 136 137 159 192 204 212 256 272 274 289 318 384 408 411 424 512 544 548 578 636 768 816 822 848 867 901 1024 1088 1096 1156 1272 1536 1632 1644 1696 1734 1802 2176 2192 2312 2329 2544 2703 2809 3072 3264 3288 3392 3468 3604 4352 4384 4624 4658 5088 5406 5618 6528 6576 6784 6936 6987 7208 7261 8427 8704 8768 9248 9316 10176 10812 11236 13056 13152 13568 13872 13974 14416 14522 15317 16854 17408 17536 18496 18632 18769 20352 21624 21783 22472 26112 26304 27136 27744 27948 28832 29044 30634 33708 35072 36992 37264 37538 39593 40704 43248 43566 44944 45951 47753 52224 52608 54272 55488 55896 56307 57664 58088 61268 67416 70144 73984 74528 75076 79186 81408 86496 87132 89888 91902 95506 105216 110976 111792 112614 115328 116176 118779 122536 123437 134832 140288 143259 147968 149056 150152 158372 162816 172992 174264 179776 183804 191012 210432 221952 223584 225228 230656 232352 237558 245072 246874 269664 286518 295936 298112 300304 316744 319073 345984 348528 359552 367608 370311 382024 384833 420864 443904 447168 450456 461312 464704 475116 490144 493748 539328 573036 596224 600608 633488 638146 691968 697056 719104 735216 740622 764048 769666 811801 887808 894336 900912 922624 929408 950232 957219 980288 987496 994757 1078656 1146072 1154499 1192448 1201216 1266976 1276292 1383936 1394112 1438208 1470432 1481244 1528096 1539332 1623602 1788672 1801824 1858816 1900464 1914438 1960576 1974992 1989514 2098429 2157312 2292144 2308998 2384896 2402432 2435403 2533952 2552584 2767872 2788224 2876416 2940864 2962488 2984271 3056192 3078664 3247204 3577344 3603648 3717632 3800928 3828876 3921152 3949984 3979028 4196858 4314624 4584288 4617996 4804864 4870806 5067904 5105168 5424241 5576448 5881728 5924976 5968542 6112384 6157328 6295287 6494408 6542161 7154688 7207296 7435264 7601856 7657752 7842304 7899968 7958056 8393716 8629248 9168576 9235992 9609728 9741612 10135808 10210336 10848482 11152896 11763456 11849952 11937084 12224768 12314656 12590574 12988816 13084322 14414592 15203712 15315504 15684608 15799936 15916112 16272723 16787432 16910869 18337152 18471984 19219456 19483224 19626483 20271616 20420672 21696964 22305792 23526912 23699904 23874168 24449536 24629312 25181148 25977632 26168644 28829184 30407424 30631008 31599872 31832224 32545446 33574864 33821738 36674304 36943968 38966448 39252966 40543232 40841344 43393928 47053824 47399808 47748336 48899072 49258624 50362296 50732607 51955264 52337288 52722121 57658368 60814848 61262016 63199744 63664448 65090892 67149728 67643476 73348608 73887936 77932896 78505932 81682688 86787856 94799616 95496672 98517248 100724592 101465214 103910528 104674576 105444242 111216737 121629696 122524032 126399488 127328896 130181784 134299456 135286952 146697216 147775872 155865792 157011864 158166363 163365376 173575712 189599232 190993344 197034496 201449184 202930428 207821056 209349152 210888484 222433474 245048064 254657792 260363568 268598912 270573904 287484773 295551744 311731584 314023728 316332726 326730752 333650211 347151424 379198464 381986688 394068992 402898368 405860856 415642112 418698304 421776968 444866948 490096128 509315584 520727136 537197824 541147808 574969546 591103488 623463168 628047456 632665452 667300422 694302848 763973376 805796736 811721712 831284224 837396608 843553936 862454319 889733896 896276057 980192256 1018631168 1041454272 1074395648 1082295616 1149939092 1182206976 1246926336 1256094912 1265330904 1334600844 1388605696 1527946752 1611593472 1623443424 1674793216 1687107872 1724908638 1779467792 1792552114 2082908544 2148791296 2164591232 2299878184 2493852672 2512189824 2530661808 2669201688 2688828171 2777211392 3055893504 3223186944 3246886848 3349586432 3374215744 3449817276 3558935584 3585104228 4165817088 4329182464 4599756368 5024379648 5061323616 5338403376 5377656342 5554422784 6446373888 6493773696 6699172864 6748431488 6899634552 7117871168 7170208456 8331634176 8658364928 9199512736 10048759296 10122647232 10676806752 10755312684 12987547392 13496862976 13799269104 14235742336 14340416912 15236692969 16663268352 17316729856 18399025472 20097518592 20245294464 21353613504 21510625368 25975094784 26993725952 27598538208 28471484672 28680833824 30473385938 36798050944 40490588928 42707227008 43021250736 45710078907 51950189568 53987451904 55197076416 56942969344 57361667648 60946771876 73596101888 80981177856 85414454016 86042501472 91420157814 110394152832 113885938688 114723335296 121893543752 147192203776 161962355712 170828908032 172085002944 182840315628 220788305664 229446670592 243787087504 294384407552 341657816064 344170005888 365680631256 441576611328 458893341184 487574175008 688340011776 731361262512 883153222656 917786682368 975148350016 1376680023552 1462722525024 1950296700032 2753360047104 2925445050048 3900593400064 5850890100096 7801186800128 11701780200192 15602373600256 23403560400384 46807120800768
• Sum of all divisors σ(n): 136069309743556
• Sum of proper divisors (its aliquot sum) s(n): 89262188942788
• 46807120800768 is an abundant number, because the sum of its proper divisors (89262188942788) is greater than itself. Its abundance is 42455068142020

Bases of 46807120800768

• Binary: 1010101001001000100001110011101110110000000000₂
• Hexadecimal: 0x2A9221CEEC00
• Base-36: GLAW7785C

Squares and roots of 46807120800768

• 46807120800768 squared (46807120800768²) is 2190906557657688377549389824
• 46807120800768 cubed (46807120800768³) is 102550027907478201172991402132216670584832
• The square root of 46807120800768 is 6841572.9770841443
• The cube root of 46807120800768 is 36038.8266284651

Scales and comparisons

• 46,807,120,800,768 seconds is equal to 1,488,321 years, 34 weeks, 1 day, 8 hours, 12 minutes, 48 seconds.
• To count from 1 to 46,807,120,800,768 would take you about three million, seven hundred twenty thousand, eight hundred four 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 46807120800768 cubic inches would be around 3003.2 feet tall.

Recreational maths with 46807120800768

• 46807120800768 backwards is 86700802170864
• The number of decimal digits it has is: 14
• The sum of 46807120800768's digits is 57
• More coming soon!