48904261106512896

Names of 48904261106512896

• Cardinal: 48904261106512896 can be written as Forty-eight quadrillion, nine hundred four trillion, two hundred sixty-one billion, one hundred six million, five hundred twelve thousand, eight hundred ninety-six.

Scientific notation

• Scientific notation: 4.8904261106512896 × 10¹⁶

Factors of 48904261106512896

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 721

Divisors of 48904261106512896

• Number of divisors d(n): 440
• 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 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 709 756 768 864 896 1008 1024 1152 1344 1418 1512 1536 1728 1792 2016 2127 2304 2688 2836 3024 3072 3456 3584 4032 4254 4608 4963 5376 5672 6048 6381 6912 7168 8064 8508 9216 9926 10752 11344 12096 12762 13824 14889 16128 17016 19143 19852 21504 22688 24192 25524 27648 29778 32256 34032 38286 39704 44667 45376 48384 51048 59556 64512 68064 76572 79408 89334 90752 96768 102096 119112 134001 136128 153144 158816 178668 181504 193536 204192 238224 268002 272256 306288 317632 357336 363008 408384 476448 502681 536004 544512 612576 635264 714672 726016 816768 952896 1005362 1072008 1089024 1225152 1270528 1429344 1508043 1633536 1905792 2010724 2144016 2178048 2450304 2541056 2858688 3016086 3267072 3518767 3811584 4021448 4288032 4524129 4900608 5082112 5717376 6032172 6534144 7037534 7623168 8042896 8576064 9048258 9801216 10556301 11434752 12064344 13572387 14075068 15246336 16085792 17152128 18096516 19602432 21112602 22869504 24128688 27144774 28150136 31668903 32171584 34304256 36193032 42225204 45739008 48257376 54289548 56300272 63337806 64343168 68608512 72386064 84450408 95006709 96514752 108579096 112600544 126675612 128686336 137217024 144772128 168900816 190013418 193029504 217158192 225201088 253351224 257372672 289544256 337801632 356400829 380026836 386059008 434316384 450402176 506702448 514745344 579088512 675603264 712801658 760053672 772118016 868632768 900804352 1013404896 1069202487 1158177024 1351206528 1425603316 1520107344 1544236032 1737265536 1801608704 2026809792 2138404974 2316354048 2494805803 2702413056 2851206632 3040214688 3207607461 3474531072 3603217408 4053619584 4276809948 4632708096 4989611606 5404826112 5702413264 6080429376 6415214922 6949062144 7484417409 8107239168 8553619896 9622822383 9979223212 10809652224 11404826528 12160858752 12830429844 13898124288 14968834818 16214478336 17107239792 19245644766 19958446424 22453252227 22809653056 24321717504 25660859688 29937669636 32428956672 34214479584 38491289532 39916892848 44906504454 45619306112 48643435008 51321719376 59875339272 67359756681 68428959168 76982579064 79833785696 89813008908 91238612224 97286870016 102643438752 119750678544 134719513362 136857918336 153965158128 159667571392 179626017816 182477224448 205286877504 239501357088 252688187761 269439026724 273715836672 307930316256 319335142784 359252035632 364954448896 410573755008 479002714176 505376375522 538878053448 547431673344 615860632512 638670285568 718504071264 758064563283 821147510016 958005428352 1010752751044 1077756106896 1094863346688 1231721265024 1277340571136 1437008142528 1516129126566 1642295020032 1768817314327 1916010856704 2021505502088 2155512213792 2274193689849 2463442530048 2554681142272 2874016285056 3032258253132 3284590040064 3537634628654 3832021713408 4043011004176 4311024427584 4548387379698 4926885060096 5306451942981 5748032570112 6064516506264 6822581069547 7075269257308 7664043426816 8086022008352 8622048855168 9096774759396 9853770120192 10612903885962 11496065140224 12129033012528 13645162139094 14150538514616 15919355828943 16172044016704 17244097710336 18193549518792 21225807771924 22992130280448 24258066025056 27290324278188 28301077029232 31838711657886 32344088033408 34488195420672 36387099037584 42451615543848 47758067486829 48516132050112 54580648556376 56602154058464 63677423315772 64688176066816 68976390841344 72774198075168 84903231087696 95516134973658 97032264100224 109161297112752 113204308116928 127354846631544 129376352133632 145548396150336 169806462175392 191032269947316 194064528200448 218322594225504 226408616233856 254709693263088 258752704267264 291096792300672 339612924350784 382064539894632 388129056400896 436645188451008 452817232467712 509419386526176 582193584601344 679225848701568 764129079789264 776258112801792 873290376902016 905634464935424 1018838773052352 1164387169202688 1358451697403136 1528258159578528 1746580753804032 1811268929870848 2037677546104704 2328774338405376 2716903394806272 3056516319157056 3493161507608064 4075355092209408 5433806789612544 6113032638314112 6986323015216128 8150710184418816 12226065276628224 16301420368837632 24452130553256448 48904261106512896
• Sum of all divisors σ(n): 165754657051234240
• Sum of proper divisors (its aliquot sum) s(n): 116850395944721344
• 48904261106512896 is an abundant number, because the sum of its proper divisors (116850395944721344) is greater than itself. Its abundance is 67946134838208448

Bases of 48904261106512896

• Binary: 10101101101111100010101010010111010000011011010000000000₂
• Hexadecimal: 0xADBE2A9741B400
• Base-36: DDJ43EG7PC0

Squares and roots of 48904261106512896

• 48904261106512896 squared (48904261106512896²) is 2391626754373989943044709014306816
• 48904261106512896 cubed (48904261106512896³) is 116960739265227587545487920213280278334100404699136
• The square root of 48904261106512896 is 221143078.3599452745
• The cube root of 48904261106512896 is 365692.0905278709

Scales and comparisons

• 48,904,261,106,512,896 seconds is equal to 1,555,004,232 years, 19 weeks, 3 days, 15 hours, 21 minutes, 36 seconds.
• To count from 1 to 48,904,261,106,512,896 would take you about four billion, six hundred sixty-five million, twelve thousand, six hundred ninety-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 48904261106512896 cubic inches would be around 30474.3 feet tall.

Recreational maths with 48904261106512896

• 48904261106512896 backwards is 69821560116240984
• 48904261106512896 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 48904261106512896's digits is 72
• More coming soon!