48516513646876128
48,516,513,646,876,128 is an even composite number composed of five prime numbers multiplied together.
What does the number 48516513646876128 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 576 divisors.
48516513646876128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 48516513646876128:
25 × 33 × 7 × 1313 × 18892
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 131 × 131 × 131 × 1889 × 1889)See below for interesting mathematical facts about the number 48516513646876128 from the Numbermatics database.
Names of 48516513646876128
- Cardinal: 48516513646876128 can be written as Forty-eight quadrillion, five hundred sixteen trillion, five hundred thirteen billion, six hundred forty-six million, eight hundred seventy-six thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.8516513646876128 × 1016
Factors of 48516513646876128
Divisors of 48516513646876128
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 131 144 168 189 216 224 252 262 288 336 378 393 432 504 524 672 756 786 864 917 1008 1048 1179 1512 1572 1834 1889 2016 2096 2358 2751 3024 3144 3537 3668 3778 4192 4716 5502 5667 6048 6288 7074 7336 7556 8253 9432 11004 11334 12576 13223 14148 14672 15112 16506 17001 17161 18864 22008 22668 24759 26446 28296 29344 30224 33012 34002 34322 37728 39669 44016 45336 49518 51003 51483 52892 56592 60448 66024 68004 68644 79338 88032 90672 99036 102006 102966 105784 113184 119007 120127 132048 136008 137288 154449 158676 181344 198072 204012 205932 211568 238014 240254 247459 264096 272016 274576 308898 317352 357021 360381 396144 408024 411864 423136 463347 476028 480508 494918 544032 549152 617796 634704 714042 720762 742377 792288 816048 823728 926694 952056 961016 989836 1081143 1235592 1269408 1428084 1441524 1484754 1632096 1647456 1732213 1853388 1904112 1922032 1979672 2162286 2227131 2248091 2471184 2856168 2883048 2969508 3243429 3464426 3568321 3706776 3808224 3844064 3959344 4324572 4454262 4496182 4942368 5196639 5712336 5766096 5939016 6486858 6681393 6744273 6928852 7136642 7413552 7918688 8649144 8908524 8992364 10393278 10704963 11424672 11532192 11878032 12973716 13362786 13488546 13857704 14273284 14827104 15589917 15736637 17298288 17817048 17984728 20232819 20786556 21409926 23756064 24978247 25947432 26725572 26977092 27715408 28546568 31179834 31473274 32114889 32417129 34596576 35634096 35969456 40465638 41573112 42819852 46769751 47209911 49956494 51894864 53451144 53954184 55430816 57093136 60698457 62359668 62946548 64229778 64834258 71268192 71938912 74934741 80931276 83146224 85639704 93539502 94419822 96344667 97251387 99912988 103789728 106902288 107908368 114186272 121396914 124719336 125893096 128459556 129668516 141629733 149869482 161862552 166292448 171279408 187079004 188839644 192689334 194502774 199825976 213804576 215816736 224804223 226919903 242793828 249438672 251786192 256919112 259337032 283259466 291754161 299738964 323725104 342558816 374158008 377679288 385378668 389005548 399651952 424889199 449608446 453839806 467450051 485587656 498877344 503572384 513838224 518674064 566518932 583508322 599477928 647450208 674412669 680759709 748316016 755358576 770757336 778011096 799303904 849778398 875262483 899216892 907679612 934900102 971175312 1027676448 1037348128 1133037864 1167016644 1198955856 1348825338 1361519418 1402350153 1496632032 1510717152 1541514672 1556022192 1699556796 1750524966 1798433784 1815359224 1869800204 1942350624 2042279127 2266075728 2334033288 2397911712 2697650676 2723038836 2804700306 3083029344 3112044384 3272150357 3399113592 3501049932 3596867568 3630718448 3739600408 4084558254 4207050459 4246643899 4532151456 4668066576 5395301352 5446077672 5609400612 6126837381 6544300714 6798227184 7002099864 7193735136 7261436896 7479200816 8169116508 8414100918 8493287798 9336133152 9816451071 10790602704 10892155344 11218801224 12253674762 12621151377 12739931697 13088601428 13596454368 14004199728 14958401632 16338233016 16828201836 16986575596 19632902142 21581205408 21784310688 22437602448 24507349524 25242302754 25479863394 26177202856 28008399456 29449353213 29726507293 32676466032 33656403672 33973151192 38219795091 39265804284 44875204896 49014699048 50484605508 50959726788 52354405712 58898706426 59453014586 61235956681 65352932064 67312807344 67946302384 76439590182 78531608568 88348059639 89179521879 98029398096 100969211016 101919453576 104708811424 114659385273 117797412852 118906029172 122471913362 134625614688 135892604768 152879180364 157063217136 176696119278 178359043758 183707870043 196058796192 201938422032 203838907152 229318770546 235594825704 237812058344 244943826724 267538565637 305758360728 314126434272 353392238556 356718087516 367415740086 403876844064 407677814304 428651696767 458637541092 471189651408 475624116688 489887653448 535077131274 551123610129 611516721456 706784477112 713436175032 734831480172 802615696911 857303393534 917275082184 942379302816 951248233376 979775306896 1070154262548 1102247220258 1223033442912 1285955090301 1413568954224 1426872350064 1469662960344 1605231393822 1653370830387 1714606787068 1834550164368 1959550613792 2140308525096 2204494440516 2571910180602 2827137908448 2853744700128 2939325920688 3210462787644 3306741660774 3429213574136 3669100328736 3857865270903 4280617050192 4408988881032 5143820361204 5878651841376 6420925575288 6613483321548 6858427148272 7715730541806 8021910325211 8561234100384 8817977762064 10287640722408 11573595812709 12841851150576 13226966643096 13716854296544 15431461083612 16043820650422 17635955524128 20575281444816 23147191625418 24065730975633 25683702301152 26453933286192 30862922167224 32087641300844 41150562889632 46294383250836 48131461951266 52907866572384 56153372276477 61725844334448 64175282601688 72197192926899 92588766501672 96262923902532 112306744552954 123451688668896 128350565203376 144394385853798 168460116829431 185177533003344 192525847805064 216591578780697 224613489105908 256701130406752 288788771707596 336920233658862 370355066006688 385051695610128 433183157561394 449226978211816 505380350488293 577577543415192 673840467317724 770103391220256 866366315122788 898453956423632 1010760700976586 1155155086830384 1347680934635448 1516141051464879 1732732630245576 1796907912847264 2021521401953172 2310310173660768 2695361869270896 3032282102929758 3465465260491152 4043042803906344 5390723738541792 6064564205859516 6930930520982304 8086085607812688 12129128411719032 16172171215625376 24258256823438064 48516513646876128
- Sum of all divisors σ(n): 163052041340643840
- Sum of proper divisors (its aliquot sum) s(n): 114535527693767712
- 48516513646876128 is an abundant number, because the sum of its proper divisors (114535527693767712) is greater than itself. Its abundance is 66019014046891584
Bases of 48516513646876128
- Binary: 101011000101110110000011000110011010100110010101111000002
- Hexadecimal: 0xAC5D8319A995E0
- Base-36: D9PO2OE37C0
Squares and roots of 48516513646876128
- 48516513646876128 squared (485165136468761282) is 2353852096447517565452052976272384
- 48516513646876128 cubed (485165136468761283) is 114200697360023969816635597051618408818947635249152
-
The
square root of 48516513646876128 is 220264644.5684738759 -
The
cube root of 48516513646876128 is 364723.0366475177
Scales and comparisons
How big is 48516513646876128?- 48,516,513,646,876,128 seconds is equal to 1,542,675,062 years, 28 weeks, 18 hours, 28 minutes, 48 seconds.
-
To count from 1 to 48,516,513,646,876,128 would take you about four billion, six hundred twenty-eight million, twenty-five thousand, one 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 48516513646876128 cubic inches would be around 30393.6 feet tall.
Recreational maths with 48516513646876128
- 48516513646876128 backwards is 82167864631561584
- The number of decimal digits it has is: 17
- The sum of 48516513646876128's digits is 81
- More coming soon!
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