40577988794609664

Names of 40577988794609664

• Cardinal: 40577988794609664 can be written as Forty quadrillion, five hundred seventy-seven trillion, nine hundred eighty-eight billion, seven hundred ninety-four million, six hundred nine thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 4.0577988794609664 × 10¹⁶

Factors of 40577988794609664

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 1379

Divisors of 40577988794609664

• Number of divisors d(n): 416
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 281 288 384 432 512 562 576 768 843 864 1024 1093 1124 1152 1536 1686 1728 2048 2186 2248 2304 2529 3072 3279 3372 3456 4096 4372 4496 4608 5058 6144 6558 6744 6912 7587 8744 8992 9216 9837 10116 12288 13116 13488 13824 15174 17488 17984 18432 19674 20232 26232 26976 27648 29511 30348 34976 35968 36864 39348 40464 52464 53952 55296 59022 60696 69952 71936 78696 80928 104928 107904 110592 118044 121392 139904 143872 157392 161856 209856 215808 236088 242784 279808 287744 307133 314784 323712 419712 431616 472176 485568 559616 575488 614266 629568 647424 839424 863232 921399 944352 971136 1119232 1150976 1194649 1228532 1259136 1294848 1678848 1726464 1842798 1888704 1942272 2238464 2389298 2457064 2518272 2589696 2764197 3357696 3452928 3583947 3685596 3777408 3884544 4476928 4778596 4914128 5036544 5179392 5528394 6715392 7167894 7371192 7554816 7769088 8292591 9557192 9828256 10073088 10358784 10751841 11056788 13430784 14335788 14742384 15109632 15538176 16585182 19114384 19656512 20146176 21503682 22113576 28671576 29484768 30219264 31076352 32255523 33170364 38228768 39313024 40292352 43007364 44227152 57343152 58969536 60438528 64511046 66340728 76457536 78626048 86014728 88454304 114686304 117939072 120877056 129022092 132681456 152915072 157252096 172029456 176908608 229372608 235878144 258044184 265362912 305830144 314504192 335696369 344058912 353817216 458745216 471756288 516088368 530725824 611660288 629008384 671392738 688117824 707634432 917490432 943512576 1007089107 1032176736 1061451648 1223320576 1258016768 1305751357 1342785476 1376235648 1415268864 1834980864 1887025152 2014178214 2064353472 2122903296 2446641152 2611502714 2685570952 2752471296 2830537728 3021267321 3669961728 3774050304 3917254071 4028356428 4128706944 4245806592 4893282304 5223005428 5371141904 5504942592 5661075456 6042534642 7339923456 7834508142 8056712856 8257413888 8491613184 9063801963 10446010856 10742283808 11009885184 11322150912 11751762213 12085069284 14679846912 15669016284 16113425712 16514827776 16983226368 18127603926 20892021712 21484567616 22019770368 23503524426 24170138568 31338032568 32226851424 33029655552 33966452736 35255286639 36255207852 41784043424 42969135232 44039540736 47007048852 48340277136 62676065136 64453702848 66059311104 70510573278 72510415704 83568086848 85938270464 94014097704 96680554272 125352130272 128907405696 132118622208 141021146556 145020831408 167136173696 171876540928 188028195408 193361108544 250704260544 257814811392 282042293112 290041662816 334272347392 343753081856 366916131317 376056390816 386722217088 501408521088 515629622784 564084586224 580083325632 668544694784 687506163712 733832262634 752112781632 773444434176 1002817042176 1031259245568 1100748393951 1128169172448 1160166651264 1337089389568 1375012327424 1467664525268 1504225563264 1546888868352 2005634084352 2062518491136 2201496787902 2256338344896 2320333302528 2674178779136 2935329050536 3008451126528 3093777736704 3302245181853 4011268168704 4125036982272 4402993575804 4512676689792 4640666605056 5348357558272 5870658101072 6016902253056 6187555473408 6604490363706 8022536337408 8805987151608 9025353379584 9281333210112 9906735545559 11741316202144 12033804506112 12375110946816 13208980727412 16045072674816 17611974303216 18050706759168 18562666420224 19813471091118 23482632404288 24067609012224 26417961454824 35223948606432 36101413518336 37125332840448 39626942182236 46965264808576 48135218024448 52835922909648 70447897212864 72202827036672 79253884364472 93930529617152 105671845819296 140895794425728 144405654073344 158507768728944 187861059234304 211343691638592 281791588851456 317015537457888 375722118468608 422687383277184 563583177702912 634031074915776 751444236937216 845374766554368 1127166355405824 1268062149831552 1502888473874432 1690749533108736 2254332710811648 2536124299663104 3381499066217472 4508665421623296 5072248599326208 6762998132434944 10144497198652416 13525996264869888 20288994397304832 40577988794609664
• Sum of all divisors σ(n): 120754697692008000
• Sum of proper divisors (its aliquot sum) s(n): 80176708897398336
• 40577988794609664 is an abundant number, because the sum of its proper divisors (80176708897398336) is greater than itself. Its abundance is 39598720102788672

Bases of 40577988794609664

• Binary: 10010000001010010111011100111111110011010111000000000000₂
• Hexadecimal: 0x9029773FCD7000
• Base-36: B3JP2PFOQO0

Squares and roots of 40577988794609664

• 40577988794609664 squared (40577988794609664²) is 1646573174615467452356582122192896
• 40577988794609664 cubed (40577988794609664³) is 66814627829051299928725882595357595877352033746944
• The square root of 40577988794609664 is 201439789.5019989937
• The cube root of 40577988794609664 is 343634.5632379429

Scales and comparisons

• 40,577,988,794,609,664 seconds is equal to 1,290,254,527 years, 36 weeks, 5 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 40,577,988,794,609,664 would take you about three billion, eight hundred seventy million, seven hundred sixty-three thousand, five hundred eighty-three 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 40577988794609664 cubic inches would be around 28636.2 feet tall.

Recreational maths with 40577988794609664

• 40577988794609664 backwards is 46690649788977504
• The number of decimal digits it has is: 17
• The sum of 40577988794609664's digits is 99
• More coming soon!