13398123870208

Names of 13398123870208

• Cardinal: 13398123870208 can be written as Thirteen trillion, three hundred ninety-eight billion, one hundred twenty-three million, eight hundred seventy thousand, two hundred eight.

Scientific notation

• Scientific notation: 1.3398123870208 × 10¹³

Factors of 13398123870208

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 849

Divisors of 13398123870208

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 121 128 154 176 196 224 242 256 308 352 392 448 484 512 539 616 704 784 829 847 896 968 1024 1078 1232 1331 1408 1568 1658 1694 1792 1936 2048 2156 2464 2662 2816 3136 3316 3388 3584 3872 4312 4928 5324 5632 5803 5929 6272 6632 6776 7168 7744 8624 9119 9317 9856 10648 11264 11606 11858 12544 13264 13552 14336 14641 15488 17248 18238 18634 19712 21296 22528 23212 23716 25088 26528 27104 29282 30976 34496 36476 37268 39424 40621 42592 46424 47432 50176 53056 54208 58564 61952 63833 65219 68992 72952 74536 78848 81242 85184 92848 94864 100309 100352 102487 106112 108416 117128 123904 127666 130438 137984 145904 149072 157696 161051 162484 170368 185696 189728 200618 204974 212224 216832 234256 247808 255332 260876 275968 291808 298144 322102 324968 340736 371392 379456 401236 409948 424448 433664 446831 468512 510664 521752 551936 583616 596288 644204 649936 681472 702163 717409 742784 758912 802472 819896 848896 867328 893662 937024 1021328 1043504 1103399 1103872 1127357 1167232 1192576 1288408 1299872 1362944 1404326 1434818 1485568 1517824 1604944 1639792 1697792 1734656 1787324 1874048 2042656 2087008 2206798 2254714 2334464 2385152 2576816 2599744 2725888 2808652 2869636 2971136 3035648 3209888 3279584 3574648 3748096 4085312 4174016 4413596 4509428 4668928 4770304 4915141 5153632 5199488 5617304 5739272 5942272 6071296 6419776 6559168 7149296 7496192 7723793 7891499 8170624 8348032 8827192 9018856 9337856 9540608 9830282 10307264 10398976 11234608 11478544 11884544 12137389 12142592 12839552 13118336 14298592 14992384 15447586 15782998 16341248 16696064 17654384 18037712 18675712 19081216 19660564 20614528 20797952 22469216 22957088 24274778 25679104 26236672 28597184 29984768 30895172 31565996 32682496 33392128 35308768 36075424 39321128 41229056 41595904 44938432 45914176 48549556 51358208 52473344 54066551 57194368 61790344 63131992 65364992 66784256 70617536 72150848 78642256 82458112 83191808 84961723 89876864 91828352 97099112 102716416 104946688 108133102 114388736 123580688 126263984 130729984 133511279 133568512 141235072 144301696 157284512 164916224 169923446 179753728 183656704 194198224 205432832 209893376 216266204 228777472 247161376 252527968 267022558 282470144 288603392 314569024 329832448 339846892 359507456 367313408 388396448 432532408 457554944 494322752 505055936 534045116 564940288 577206784 594732061 629138048 679693784 719014912 734626816 776792896 865064816 915109888 934578953 988645504 1010111872 1068090232 1129880576 1154413568 1189464122 1258276096 1359387568 1438029824 1469253632 1553585792 1730129632 1869157906 1977291008 2020223744 2136180464 2259761152 2308827136 2378928244 2516552192 2718775136 3107171584 3460259264 3738315812 3954582016 4040447488 4272360928 4757856488 5033104384 5437550272 6214343168 6542052671 6920518528 7476631624 7909164032 8080894976 8544721856 9515712976 10066208768 10875100544 12428686336 13084105342 13841037056 14953263248 15818328064 16161789952 17089443712 19031425952 21750201088 24857372672 26168210684 27682074112 29906526496 34178887424 38062851904 43500402176 52336421368 55364148224 59813052992 68357774848 76125703808 87000804352 104672842736 110728296448 119626105984 136715549696 152251407616 174001608704 209345685472 239252211968 273431099392 304502815232 418691370944 478504423936 609005630464 837382741888 957008847872 1218011260928 1674765483776 1914017695744 3349530967552 6699061935104 13398123870208
• Sum of all divisors σ(n): 34321220224200
• Sum of proper divisors (its aliquot sum) s(n): 20923096353992
• 13398123870208 is an abundant number, because the sum of its proper divisors (20923096353992) is greater than itself. Its abundance is 7524972483784

Bases of 13398123870208

• Binary: 11000010111101111110011010011111100000000000₂
• Hexadecimal: 0xC2F7E69F800
• Base-36: 4QZ0H0TTS

Squares and roots of 13398123870208

• 13398123870208 squared (13398123870208²) is 179509723241437396429963264
• 13398123870208 cubed (13398123870208³) is 2405093507895534176653162569078944038912
• The square root of 13398123870208 is 3660344.7747729993
• The cube root of 13398123870208 is 23750.9688219127

Scales and comparisons

• 13,398,123,870,208 seconds is equal to 426,018 years, 46 weeks, 4 days, 3 hours, 3 minutes, 28 seconds.
• To count from 1 to 13,398,123,870,208 would take you about one million, sixty-five thousand and forty-seven 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 13398123870208 cubic inches would be around 1979.2 feet tall.

Recreational maths with 13398123870208

• 13398123870208 backwards is 80207832189331
• The number of decimal digits it has is: 14
• The sum of 13398123870208's digits is 55
• More coming soon!