138517575768

Names of 138517575768

• Cardinal: 138517575768 can be written as One hundred thirty-eight billion, five hundred seventeen million, five hundred seventy-five thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.38517575768 × 10¹¹

Factors of 138517575768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 133

Divisors of 138517575768

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 37 39 44 52 54 66 67 72 74 78 81 88 99 104 108 111 117 132 134 143 148 156 162 198 201 216 222 234 243 264 268 286 296 297 312 324 333 351 396 402 407 429 444 468 481 486 536 572 594 603 648 666 702 729 737 792 804 814 858 871 888 891 936 962 972 999 1053 1144 1188 1206 1221 1287 1332 1404 1443 1458 1474 1608 1628 1716 1742 1782 1809 1924 1944 1998 2106 2211 2376 2412 2442 2479 2574 2613 2664 2673 2808 2886 2916 2948 2997 3159 3256 3432 3484 3564 3618 3663 3848 3861 3996 4212 4329 4422 4489 4824 4884 4958 5148 5226 5291 5346 5427 5772 5832 5896 5994 6318 6633 6968 7128 7236 7326 7437 7722 7839 7992 8019 8424 8658 8844 8978 8991 9477 9581 9768 9916 10296 10452 10582 10692 10854 10989 11544 11583 11988 12636 12987 13266 13467 14472 14652 14874 15444 15678 15873 16038 16281 17316 17688 17956 17982 18954 19162 19832 19899 20904 21164 21384 21708 21978 22311 23166 23517 23976 25272 25974 26532 26934 26973 27269 28743 29304 29748 30888 31356 31746 32076 32227 32562 32967 34632 34749 35912 35964 37908 38324 38961 39798 40401 42328 43416 43956 44622 46332 47034 47619 48843 49379 51948 53064 53868 53946 54538 57486 58357 59496 59697 62712 63492 64152 64454 65124 65934 66933 69498 70551 71928 75816 76648 77922 79596 80802 81807 86229 87912 89244 92664 94068 95238 96681 97686 98758 98901 103896 104247 107736 107892 109076 114972 116714 116883 119394 121203 126984 128908 130248 131868 133866 138996 141102 142857 148137 155844 159192 161604 163614 166093 172458 175071 178488 179091 188136 190476 193362 195372 197516 197802 200799 208494 211653 215784 218152 229944 233428 233766 238788 242406 245421 257816 258687 263736 267732 277992 282204 285714 290043 296274 296703 311688 323208 327228 332186 344916 350142 350649 354497 358182 363609 380952 386724 390744 395032 395604 401598 416988 423306 428571 444411 466856 467532 477576 484812 490842 498279 517374 525213 535464 537273 564408 571428 580086 592548 593406 602397 634959 641927 654456 664372 689832 700284 701298 708994 716364 727218 736263 773448 776061 791208 803196 833976 846612 857142 870129 888822 935064 969624 981684 996558 1034748 1050426 1063491 1074546 1090827 1142856 1160172 1185096 1186812 1204794 1269918 1283854 1285713 1328744 1333233 1400568 1402596 1417988 1432728 1454436 1472526 1494837 1552122 1575639 1606392 1693224 1714284 1740258 1777644 1807191 1827023 1925781 1963368 1993116 2069496 2100852 2126982 2149092 2159209 2181654 2208789 2320344 2328183 2373624 2409588 2539836 2567708 2571426 2610387 2666466 2805192 2835976 2908872 2945052 2989674 3104244 3151278 3190473 3272481 3428568 3480516 3555288 3614382 3654046 3851562 3857139 3986232 3999699 4201704 4253964 4298184 4318418 4363308 4417578 4484511 4656366 4726917 4819176 5079672 5135416 5142852 5220774 5332932 5481069 5777343 5890104 5979348 6208488 6302556 6380946 6477627 6544962 6626367 6961032 6984549 7228764 7308092 7703124 7714278 7831161 7999398 8507928 8636836 8726616 8835156 8969022 9312732 9453834 9571419 10285704 10441548 10665864 10962138 11554686 11958696 11999097 12605112 12761892 12955254 13089924 13252734 13453533 13969098 14180751 14457528 14616184 15406248 15428556 15662322 15998796 16443207 17273672 17332029 17670312 17938044 18625464 18907668 19142838 19432881 19879101 20883096 21924276 23109372 23493483 23751299 23998194 25523784 25910508 26179848 26505468 26907066 27938196 28361502 28714257 30857112 31324644 31997592 32886414 34664058 35876088 35997291 37815336 38285676 38865762 39758202 40360599 42542253 43848552 46218744 46986966 47502598 47996388 49329621 51821016 51996087 53010936 53814132 55876392 56723004 57428514 58298643 62649288 65772828 69328116 71253897 71994582 76571352 77731524 79516404 80721198 85084506 86142771 93973932 95005196 95992776 98659242 103992174 107628264 113446008 114857028 116597286 121081797 131545656 138656232 142507794 143989164 147988863 155463048 155988261 159032808 161442396 170169012 172285542 174895929 187947864 190010392 197318484 207984348 213761691 229714056 233194572 242163594 258428313 285015588 287978328 295977726 311976522 322884792 340338024 344571084 349791858 394636968 415968696 427523382 443966589 466389144 467964783 484327188 516856626 524687787 570031176 591955452 623953044 641285073 689142168 699583716 855046764 887933178 935929566 968654376 1033713252 1049375574 1183910904 1247906088 1282570146 1331899767 1399167432 1574063361 1710093528 1775866356 1871859132 1923855219 2067426504 2098751148 2565140292 2663799534 3148126722 3551732712 3743718264 3847710438 4197502296 5130280584 5327599068 5771565657 6296253444 7695420876 10655198136 11543131314 12592506888 15390841752 17314696971 23086262628 34629393942 46172525256 69258787884 138517575768
• Sum of all divisors σ(n): 476961503760
• Sum of proper divisors (its aliquot sum) s(n): 338443927992
• 138517575768 is an abundant number, because the sum of its proper divisors (338443927992) is greater than itself. Its abundance is 199926352224

Bases of 138517575768

• Binary: 10000001000000010010100111100001011000₂
• Hexadecimal: 0x20404A7858
• Base-36: 1RMTSDI0

Squares and roots of 138517575768

• 138517575768 squared (138517575768²) is 19187118796643620789824
• 138517575768 cubed (138517575768³) is 2657753181683699726848305923384832
• The square root of 138517575768 is 372179.4940186791
• The cube root of 138517575768 is 5174.1016996545

Scales and comparisons

• 138,517,575,768 seconds is equal to 4,404 years, 22 weeks, 2 days, 16 hours, 22 minutes, 48 seconds.
• To count from 1 to 138,517,575,768 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 138517575768 cubic inches would be around 431.2 feet tall.

Recreational maths with 138517575768

• 138517575768 backwards is 867575715831
• The number of decimal digits it has is: 12
• The sum of 138517575768's digits is 63
• More coming soon!