138031524020224

Names of 138031524020224

• Cardinal: 138031524020224 can be written as One hundred thirty-eight trillion, thirty-one billion, five hundred twenty-four million, twenty thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.38031524020224 × 10¹⁴

Factors of 138031524020224

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 113

Divisors of 138031524020224

• Number of divisors d(n): 408
• Complete list of divisors:
  1 2 4 8 16 19 31 32 38 61 62 64 76 122 124 128 152 244 248 256 304 488 496 512 589 608 961 976 992 1024 1159 1178 1216 1891 1922 1952 1984 2048 2318 2356 2432 3721 3782 3844 3904 3968 4096 4636 4712 4864 7442 7564 7688 7808 7936 8192 9272 9424 9728 14884 15128 15376 15616 15872 16384 18259 18544 18848 19456 29768 29791 30256 30752 31232 31744 32768 35929 36518 37088 37696 38912 58621 59536 59582 60512 61504 62464 63488 65536 70699 71858 73036 74176 75392 77824 115351 117242 119072 119164 121024 123008 124928 126976 141398 143716 146072 148352 150784 155648 230702 234484 238144 238328 242048 246016 249856 253952 282796 287432 292144 296704 301568 311296 461404 468968 476288 476656 484096 492032 499712 507904 565592 566029 574864 584288 593408 603136 622592 922808 937936 952576 953312 968192 984064 999424 1015808 1113799 1131184 1132058 1149728 1168576 1186816 1206272 1245184 1817251 1845616 1875872 1905152 1906624 1936384 1968128 1998848 2031616 2191669 2227598 2262368 2264116 2299456 2337152 2373632 2412544 3575881 3634502 3691232 3751744 3810304 3813248 3872768 3936256 3997696 4383338 4455196 4524736 4528232 4598912 4674304 4747264 4825088 7151762 7269004 7382464 7503488 7620608 7626496 7745536 7872512 8766676 8910392 9049472 9056464 9197824 9348608 9494528 9650176 14303524 14538008 14764928 15006976 15241216 15252992 15491072 15745024 17533352 17820784 18098944 18112928 18395648 18697216 18989056 19300352 28607048 29076016 29529856 30013952 30482432 30505984 30982144 31490048 34527769 35066704 35641568 36197888 36225856 36791296 37394432 37978112 38600704 57214096 58152032 59059712 60027904 60964864 61011968 61964288 62980096 67941739 69055538 70133408 71283136 72395776 72451712 73582592 74788864 75956224 110852311 114428192 116304064 118119424 120055808 121929728 122023936 123928576 135883478 138111076 140266816 142566272 144791552 144903424 147165184 149577728 221704622 228856384 232608128 236238848 240111616 243859456 244047872 271766956 276222152 280533632 285132544 289583104 289806848 294330368 299155456 443409244 457712768 465216256 472477696 480223232 488095744 543533912 552444304 561067264 570265088 579166208 579613696 588660736 598310912 886818488 915425536 930432512 944955392 960446464 976191488 1087067824 1104888608 1122134528 1140530176 1158332416 1159227392 1177321472 1196621824 1773636976 1830851072 1860865024 1889910784 1920892928 1952382976 2106193909 2174135648 2209777216 2244269056 2281060352 2316664832 2318454784 2354642944 3547273952 3661702144 3721730048 3779821568 3841785856 4212387818 4348271296 4419554432 4488538112 4562120704 4633329664 4636909568 7094547904 7323404288 7443460096 7559643136 8424775636 8696542592 8839108864 8977076224 9124241408 9273819136 14189095808 14646808576 14886920192 16849551272 17393085184 17678217728 17954152448 18248482816 18547638272 28378191616 29293617152 29773840384 33699102544 34786170368 35356435456 35908304896 36496965632 37095276544 56756383232 58587234304 59547680768 67398205088 69572340736 70712870912 71816609792 72993931264 113512766464 117174468608 119095361536 134796410176 139144681472 141425741824 143633219584 227025532928 234348937216 269592820352 278289362944 282851483648 454051065856 539185640704 556578725888 565702967296 908102131712 1078371281408 1113157451776 1131405934592 1816204263424 2156742562816 2226314903552 2262811869184 3632408526848 4313485125632 4452629807104 7264817053696 8626970251264 17253940502528 34507881005056 69015762010112 138031524020224
• Sum of all divisors σ(n): 305279751978240
• Sum of proper divisors (its aliquot sum) s(n): 167248227958016
• 138031524020224 is an abundant number, because the sum of its proper divisors (167248227958016) is greater than itself. Its abundance is 29216703937792

Bases of 138031524020224

• Binary: 11111011000100111110111111101010000000000000000₂
• Hexadecimal: 0x7D89F7F50000
• Base-36: 1CXET1J75S

Squares and roots of 138031524020224

• 138031524020224 squared (138031524020224²) is 19052701623345675083161010176
• 138031524020224 cubed (138031524020224³) is 2629873441772999348168083904854636493799424
• The square root of 138031524020224 is 11748681.7992583321
• The cube root of 138031524020224 is 51680.4271293539

Scales and comparisons

• 138,031,524,020,224 seconds is equal to 4,388,975 years, 26 weeks, 1 day, 13 hours, 37 minutes, 4 seconds.
• To count from 1 to 138,031,524,020,224 would take you about ten million, nine hundred seventy-two thousand, four hundred thirty-eight 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 138031524020224 cubic inches would be around 4306.7 feet tall.

Recreational maths with 138031524020224

• 138031524020224 backwards is 422020425130831
• The number of decimal digits it has is: 15
• The sum of 138031524020224's digits is 37
• More coming soon!