138663006768

Names of 138663006768

• Cardinal: 138663006768 can be written as One hundred thirty-eight billion, six hundred sixty-three million, six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.38663006768 × 10¹¹

Factors of 138663006768

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 2756

Divisors of 138663006768

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 29 33 36 39 44 48 52 58 66 72 78 87 88 89 99 104 116 117 132 143 144 156 174 176 178 198 208 232 234 261 264 267 286 312 319 348 356 377 396 429 464 468 522 528 534 572 624 638 696 712 754 792 801 858 936 957 979 1044 1068 1131 1144 1157 1276 1287 1392 1424 1508 1584 1602 1716 1872 1914 1958 2088 2136 2262 2288 2314 2552 2574 2581 2609 2871 2937 3016 3204 3393 3432 3471 3828 3916 4147 4176 4272 4524 4628 5104 5148 5162 5218 5742 5874 6032 6408 6786 6864 6942 7656 7743 7827 7832 8294 8811 9048 9256 10296 10324 10413 10436 11484 11748 12441 12727 12816 13572 13884 15312 15486 15654 15664 16588 17622 18096 18512 20592 20648 20826 20872 22968 23229 23481 23496 24882 25454 27144 27768 28391 28699 30972 31308 33176 33553 33917 35244 37323 38181 41296 41652 41744 45936 46458 46962 46992 49764 50908 54288 55536 56782 57398 61944 62616 66352 67106 67834 70488 74646 75661 76362 83304 85173 86097 92916 93924 99528 100659 101751 101816 113564 114543 114796 123888 125232 134212 135668 140976 149292 151322 152724 166608 170346 172194 185832 187848 199056 201318 203502 203632 226983 227128 229086 229592 232201 255519 258291 268424 271336 298584 301977 302644 305253 305448 340692 344388 369083 371664 373087 375696 402636 407004 453966 454256 458172 459184 464402 511038 516582 536848 542672 597168 603954 605288 610506 610896 680949 681384 688776 696603 738166 746174 805272 814008 832271 907932 916344 928804 983593 1022076 1033164 1107249 1119261 1207908 1210576 1221012 1361898 1362768 1377552 1393206 1476332 1492348 1610544 1628016 1664542 1815864 1832688 1857608 1967186 2044152 2066328 2089809 2214498 2238522 2415816 2442024 2496813 2554211 2723796 2786412 2950779 2952664 2984696 3018613 3321747 3329084 3357783 3631728 3715216 3934372 4088304 4132656 4179618 4428996 4477044 4831632 4884048 4993626 5108422 5447592 5572824 5901558 5905328 5969392 6037226 6643494 6658168 6715566 6733829 7490439 7662633 7868744 8359236 8852337 8857992 8954088 9055839 9987252 10216844 10819523 10895184 11145648 11803116 12074452 13286988 13316336 13431132 13467658 14980878 15325266 15737488 16718472 17704674 17715984 17908176 18111678 19974504 20201487 20433688 21639046 22987899 23606232 24148904 26573976 26862264 26935316 27167517 29961756 30650532 32458569 33204743 33436944 35409348 36223356 39949008 40402974 40867376 43278092 45975798 47212464 48297808 53147952 53724528 53870632 54335034 59923512 60604461 61301064 64917138 66409486 70818696 72446712 74072119 80805948 86556184 87539777 91951596 97375707 99614229 107741264 108670068 119847024 121208922 122602128 129834276 132818972 141637392 144893424 148144238 161611896 173112368 175079554 183903192 194751414 199228458 217340136 222216357 242417844 259668552 262619331 265637944 296288476 298842687 323223792 350159108 367806384 389502828 398456916 434680272 444432714 484835688 519337104 525238662 531275888 592576952 597685374 666649071 700318216 779005656 787857993 796913832 888865428 962937547 969671376 1050477324 1185153904 1195370748 1333298142 1400636432 1558011312 1575715986 1593827664 1777730856 1925875094 2100954648 2390741496 2666596284 2888812641 3151431972 3555461712 3851750188 4201909296 4781482992 5333192568 5777625282 6302863944 7703500376 8666437923 10666385136 11555250564 12605727888 15407000752 17332875846 23110501128 34665751692 46221002256 69331503384 138663006768
• Sum of all divisors σ(n): 477110088000
• Sum of proper divisors (its aliquot sum) s(n): 338447081232
• 138663006768 is an abundant number, because the sum of its proper divisors (338447081232) is greater than itself. Its abundance is 199784074464

Bases of 138663006768

• Binary: 10000001001000111101011001001000110000₂
• Hexadecimal: 0x2048F59230
• Base-36: 1RP8DGS0

Squares and roots of 138663006768

• 138663006768 squared (138663006768²) is 19227429445942413805824
• 138663006768 cubed (138663006768³) is 2666133179393955415695229949816832
• The square root of 138663006768 is 372374.8202658177
• The cube root of 138663006768 is 5175.9118468265

Scales and comparisons

• 138,663,006,768 seconds is equal to 4,409 years, 2 weeks, 5 days, 21 hours, 52 minutes, 48 seconds.
• To count from 1 to 138,663,006,768 would take you about eight thousand, eight hundred eighteen 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 138663006768 cubic inches would be around 431.3 feet tall.

Recreational maths with 138663006768

• 138663006768 backwards is 867600366831
• The number of decimal digits it has is: 12
• The sum of 138663006768's digits is 54
• More coming soon!