216357823132125584

Names of 216357823132125584

• Cardinal: 216357823132125584 can be written as Two hundred sixteen quadrillion, three hundred fifty-seven trillion, eight hundred twenty-three billion, one hundred thirty-two million, one hundred twenty-five thousand, five hundred eighty-four.

Scientific notation

• Scientific notation: 2.16357823132125584 × 10¹⁷

Factors of 216357823132125584

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 134

Divisors of 216357823132125584

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 4 7 8 13 14 16 23 26 28 46 52 56 89 91 92 104 112 161 169 178 182 184 208 299 322 338 356 364 368 598 623 644 676 712 728 1157 1183 1196 1246 1288 1352 1424 1456 2047 2093 2314 2366 2392 2492 2576 2704 3887 4094 4186 4628 4732 4784 4984 7774 7921 8099 8188 8372 9256 9464 9968 14329 15041 15548 15842 16198 16376 16744 18512 18928 26611 27209 28658 30082 31096 31684 32396 32752 33488 53222 54418 55447 57316 60164 62192 63368 64792 102973 105287 106444 108836 110894 114632 120328 126736 129584 182183 186277 205946 210574 212888 217672 221788 229264 240656 345943 364366 372554 411892 421148 425776 435344 443576 691886 704969 720811 728732 745108 823784 842296 887152 1275281 1338649 1383772 1409938 1441622 1457464 1490216 1647568 1684592 2368379 2421601 2550562 2677298 2767544 2819876 2883244 2914928 2980432 4736758 4843202 4934783 5101124 5354596 5535088 5639752 5766488 9164597 9370543 9473516 9686404 9869566 10202248 10709192 11279504 11532976 16214287 16578653 18329194 18741086 18947032 19372808 19739132 20404496 21418384 30788927 32428574 33157306 36658388 37482172 37894064 38745616 39478264 61577854 62742241 64152179 64857148 66314612 73316776 74964344 78956528 113500009 119139761 123155708 125484482 128304358 129714296 132629224 146633552 149928688 210785731 215522489 227000018 238279522 246311416 250968964 256608716 259428592 265258448 421571462 431044978 439195687 454000036 476559044 492622832 501937928 513217432 815649133 833978327 843142924 862089956 878391374 908000072 953118088 1003875856 1026434864 1443071543 1475500117 1631298266 1667956654 1686285848 1724179912 1756782748 1816000144 1906236176 2740214503 2886143086 2951000234 3262596532 3335913308 3372571696 3448359824 3513565496 5480429006 5584059449 5709543931 5772286172 5902000468 6525193064 6671826616 7027130992 10101500801 10603438729 10960858012 11168118898 11419087862 11544572344 11804000936 13050386128 13343653232 18759930059 19181501521 20203001602 21206877458 21921716024 22336237796 22838175724 23089144688 23608001872 37519860118 38363003042 39088416143 40406003204 42413754916 43843432048 44672475592 45676351448 72592772837 74224071103 75039720236 76726006084 78176832286 80812006408 84827509832 89344951184 91352702896 128433367327 131319510413 145185545674 148448142206 150079440472 153452012168 156353664572 161624012816 169655019664 243879090767 256866734654 262639020826 290371091348 296896284412 300158880944 306904024336 312707329144 487758181534 496981290961 508149409859 513733469308 525278041652 580742182696 593792568824 625414658288 899033571289 943706046881 975516363068 993962581922 1016298819718 1027466938616 1050556083304 1161484365392 1187585137648 1669633775251 1707153635369 1798067142578 1887412093762 1951032726136 1987925163844 2032597639436 2054933877232 2101112166608 3339267550502 3414307270738 3478869036727 3596134285156 3774824187524 3902065452272 3975850327688 4065195278872 6460756782493 6605942328167 6678535101004 6828614541476 6957738073454 7192268570312 7549648375048 7951700655376 8130390557744 11430569692103 11687436426757 12921513564986 13211884656334 13357070202008 13657229082952 13915476146908 14384537140624 15099296750096 21705239078263 22861139384206 23374872853514 25843027129972 26423769312668 26714140404016 27314458165904 27830952293816 43410478156526 45225297477451 45722278768412 46749745707028 51686054259944 52847538625336 55661904587632 80013987844721 83989838172409 86820956313052 90450594954902 91444557536824 93499491414056 103372108519888 105695077250672 148597405997339 151936673547841 160027975689442 167979676344818 173641912626104 180901189909804 182889115073648 186998982828112 297194811994678 303873347095682 320055951378884 335959352689636 347283825252208 361802379819608 587928867206863 594389623989356 607746694191364 640111902757768 671918705379272 723604759639216 1040181841981373 1175857734413726 1188779247978712 1215493388382728 1280223805515536 1343837410758544 1931766277965407 2080363683962746 2351715468827452 2377558495957424 2430986776765456 3863532555930814 4160727367925492 4703430937654904 7727065111861628 8321454735850984 9406861875309808 13522363945757849 15454130223723256 16642909471701968 27044727891515698 30908260447446512 54089455783031396 108178911566062792 216357823132125584
• Sum of all divisors σ(n): 547471337154175296
• Sum of proper divisors (its aliquot sum) s(n): 331113514022049712
• 216357823132125584 is an abundant number, because the sum of its proper divisors (331113514022049712) is greater than itself. Its abundance is 114755690889924128

Bases of 216357823132125584

• Binary: 1100000000101010000100101100111000001010101100100110010000₂
• Hexadecimal: 0x300A84B382AC990
• Base-36: 1N6CG3SZEYKW

Squares and roots of 216357823132125584

• 216357823132125584 squared (216357823132125584²) is 46810707630472136451144433947341056
• 216357823132125584 cubed (216357823132125584³) is 10127862802203331987857942811749153318322950271176704
• The square root of 216357823132125584 is 465142798.6458842125
• The cube root of 216357823132125584 is 600331.1349307409
• Being both a perfect square and a perfect cube, 216357823132125584 is also a perfect sixth number.

Scales and comparisons

• 216,357,823,132,125,584 seconds is equal to 6,879,509,536 years, 47 weeks, 3 days, 15 hours, 19 minutes, 44 seconds.
• To count from 1 to 216,357,823,132,125,584 would take you about twenty billion, six hundred thirty-eight million, five hundred twenty-eight thousand, six hundred ten 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 216357823132125584 cubic inches would be around 50027.6 feet tall.

Recreational maths with 216357823132125584

• 216357823132125584 backwards is 485521231328753612
• The number of decimal digits it has is: 18
• The sum of 216357823132125584's digits is 68
• More coming soon!