138513344256

Names of 138513344256

• Cardinal: 138513344256 can be written as One hundred thirty-eight billion, five hundred thirteen million, three hundred forty-four thousand, two hundred fifty-six.

Scientific notation

• Scientific notation: 1.38513344256 × 10¹¹

Factors of 138513344256

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 85

Divisors of 138513344256

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 73 84 96 98 112 126 128 144 146 147 168 192 196 219 224 252 256 288 292 294 336 343 384 392 438 441 448 504 511 576 584 588 657 672 686 768 784 876 882 896 1008 1022 1029 1152 1168 1176 1314 1344 1372 1533 1568 1752 1764 1792 2016 2044 2058 2304 2336 2352 2401 2628 2688 2744 3066 3087 3136 3504 3528 3577 4032 4088 4116 4599 4672 4704 4802 5256 5376 5488 6132 6174 6272 7008 7056 7154 7203 8064 8176 8232 9198 9344 9408 9604 10512 10731 10976 12264 12348 12544 14016 14112 14308 14406 16128 16352 16464 16807 18396 18688 18816 19208 21024 21462 21609 21952 24528 24696 25039 28032 28224 28616 28812 32193 32704 32928 33614 36792 37632 38416 42048 42924 43218 43904 49056 49392 50078 50421 56064 56448 57232 57624 64386 65408 65856 67228 73584 75117 76832 84096 85848 86436 87808 98112 98784 100156 100842 112896 114464 115248 117649 128772 130816 131712 134456 147168 150234 151263 153664 168192 171696 172872 175273 196224 197568 200312 201684 225351 228928 230496 235298 257544 263424 268912 294336 300468 302526 307328 343392 345744 350546 352947 392448 395136 400624 403368 450702 457856 460992 470596 515088 525819 537824 588672 600936 605052 614656 686784 691488 701092 705894 790272 801248 806736 823543 901404 915712 921984 941192 1030176 1051638 1058841 1075648 1177344 1201872 1210104 1226911 1373568 1382976 1402184 1411788 1577457 1602496 1613472 1647086 1802808 1843968 1882384 2060352 2103276 2117682 2151296 2403744 2420208 2453822 2470629 2747136 2765952 2804368 2823576 3154914 3204992 3226944 3294172 3605616 3680733 3764768 4120704 4206552 4235364 4302592 4807488 4840416 4907644 4941258 5531904 5608736 5647152 6309828 6409984 6453888 6588344 7211232 7361466 7411887 7529536 8241408 8413104 8470728 8588377 9614976 9680832 9815288 9882516 11042199 11217472 11294304 12619656 12907776 13176688 14422464 14722932 14823774 15059072 16826208 16941456 17176754 19229952 19361664 19630576 19765032 22084398 22434944 22588608 25239312 25765131 26353376 28844928 29445864 29647548 30118144 33652416 33882912 34353508 38723328 39261152 39530064 44168796 44869888 45177216 50478624 51530262 52706752 57689856 58891728 59295096 60118639 67304832 67765824 68707016 77295393 78522304 79060128 88337592 90354432 100957248 103060524 105413504 117783456 118590192 120237278 134609664 135531648 137414032 154590786 157044608 158120256 176675184 180355917 201914496 206121048 210827008 235566912 237180384 240474556 271063296 274828064 309181572 314089216 316240512 353350368 360711834 403828992 412242096 471133824 474360768 480949112 541067751 549656128 618363144 632481024 706700736 721423668 824484192 942267648 948721536 961898224 1082135502 1099312256 1236726288 1413401472 1442847336 1648968384 1897443072 1923796448 2164271004 2198624512 2473452576 2826802944 2885694672 3297936768 3847592896 4328542008 4946905152 5771389344 6595873536 7695185792 8657084016 9893810304 11542778688 15390371584 17314168032 19787620608 23085557376 34628336064 46171114752 69256672128 138513344256
• Sum of all divisors σ(n): 472311985600
• Sum of proper divisors (its aliquot sum) s(n): 333798641344
• 138513344256 is an abundant number, because the sum of its proper divisors (333798641344) is greater than itself. Its abundance is 195285297088

Bases of 138513344256

• Binary: 10000001000000000010011110011100000000₂
• Hexadecimal: 0x204009E700
• Base-36: 1RMR9OG0

Squares and roots of 138513344256

• 138513344256 squared (138513344256²) is 19185946536981168193536
• 138513344256 cubed (138513344256³) is 2657509617554083584980289601929216
• The square root of 138513344256 is 372173.8092020985
• The cube root of 138513344256 is 5174.0490120051

Scales and comparisons

• 138,513,344,256 seconds is equal to 4,404 years, 15 weeks, 2 days, 16 hours, 57 minutes, 36 seconds.
• To count from 1 to 138,513,344,256 would take you about eight thousand, eight hundred 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 138513344256 cubic inches would be around 431.2 feet tall.

Recreational maths with 138513344256

• 138513344256 backwards is 652443315831
• The number of decimal digits it has is: 12
• The sum of 138513344256's digits is 45
• More coming soon!