40385607368832217728768
40,385,607,368,832,217,728,768 is an even composite number composed of five prime numbers multiplied together.
40385607368832217728768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 40385607368832217728768:
28 × 3 × 72 × 30137 × 35609780818277
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 30137 × 35609780818277)See below for interesting mathematical facts about the number 40385607368832217728768 from the Numbermatics database.
Names of 40385607368832217728768
- Cardinal: 40385607368832217728768 can be written as Forty sextillion, three hundred eighty-five quintillion, six hundred seven quadrillion, three hundred sixty-eight trillion, eight hundred thirty-two billion, two hundred seventeen million, seven hundred twenty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.0385607368832217728768 × 1022
Factors of 40385607368832217728768
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 35609780848426
Divisors of 40385607368832217728768
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 3136 4704 5376 6272 9408 12544 18816 30137 37632 60274 90411 120548 180822 210959 241096 361644 421918 482192 632877 723288 843836 964384 1265754 1446576 1476713 1687672 1928768 2531508 2893152 2953426 3375344 3857536 4430139 5063016 5786304 5906852 6750688 7715072 8860278 10126032 11572608 11813704 13501376 17720556 20252064 23145216 23627408 27002752 35441112 40504128 47254816 54005504 70882224 81008256 94509632 141764448 162016512 189019264 283528896 378038528 567057792 1134115584 35609780818277 71219561636554 106829342454831 142439123273108 213658684909662 249268465727939 284878246546216 427317369819324 498536931455878 569756493092432 747805397183817 854634739638648 997073862911756 1139512986184864 1495610794367634 1709269479277296 1744879260095573 1994147725823512 2279025972369728 2991221588735268 3418538958554592 3489758520191146 3988295451647024 4558051944739456 5234637780286719 5982443177470536 6837077917109184 6979517040382292 7976590903294048 9116103889478912 10469275560573438 11964886354941072 13674155834218368 13959034080764584 15953181806588096 20938551121146876 23929772709882144 27348311668436736 27918068161529168 31906363613176192 41877102242293752 47859545419764288 55836136323058336 63812727226352384 83754204484587504 95719090839528576 111672272646116672 167508408969175008 191438181679057152 223344545292233344 335016817938350016 446689090584466688 670033635876700032 1073171964520413949 1340067271753400064 2146343929040827898 3219515893561241847 4292687858081655796 6439031787122483694 7512203751642897643 8585375716163311592 12878063574244967388 15024407503285795286 17170751432326623184 22536611254928692929 25756127148489934776 30048815006571590572 34341502864653246368 45073222509857385858 51512254296979869552 52585426261500283501 60097630013143181144 68683005729306492736 90146445019714771716 103024508593959739104 105170852523000567002 120195260026286362288 137366011458612985472 157756278784500850503 180292890039429543432 206049017187919478208 210341705046001134004 240390520052572724576 274732022917225970944 315512557569001701006 360585780078859086864 412098034375838956416 420683410092002268008 480781040105145449152 631025115138003402012 721171560157718173728 824196068751677912832 841366820184004536016 961562080210290898304 1262050230276006804024 1442343120315436347456 1682733640368009072032 1923124160420581796608 2524100460552013608048 2884686240630872694912 3365467280736018144064 5048200921104027216096 5769372481261745389824 6730934561472036288128 10096401842208054432192 13461869122944072576256 20192803684416108864384 40385607368832217728768
- Sum of all divisors σ(n): 125037268066691475504912
- Sum of proper divisors (its aliquot sum) s(n): 84651660697859257776144
- 40385607368832217728768 is an abundant number, because the sum of its proper divisors (84651660697859257776144) is greater than itself. Its abundance is 44266053329027040047376
Bases of 40385607368832217728768
- Binary: 10001000110101001110111000111011100111010101101010100101111101000111000000002
- Hexadecimal: 0x88D4EE3B9D5AA5F4700
- Base-36: 6KR2WTCZ22GL5HC
Squares and roots of 40385607368832217728768
- 40385607368832217728768 squared (403856073688322177287682) is 1630997282549475124302118919073323768414797824
- 40385607368832217728768 cubed (403856073688322177287683) is 65868815872675405258658473824677044001823229382971641092811188600832
-
The
square root of 40385607368832217728768 is 200961706224.9229056559 -
The
cube root of 40385607368832217728768 is 34309064.2260179599
Scales and comparisons
How big is 40385607368832217728768?- 40,385,607,368,832,217,728,768 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 40,385,607,368,832,217,728,768 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 40385607368832217728768 cubic inches would be around 2859088.7 feet tall.
Recreational maths with 40385607368832217728768
- 40385607368832217728768 backwards is 86782771223886370658304
- The number of decimal digits it has is: 23
- The sum of 40385607368832217728768's digits is 111
- More coming soon!
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