138042406656

Names of 138042406656

• Cardinal: 138042406656 can be written as One hundred thirty-eight billion, forty-two million, four hundred six thousand, six hundred fifty-six.

Scientific notation

• Scientific notation: 1.38042406656 × 10¹¹

Factors of 138042406656

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 132

Divisors of 138042406656

• Number of divisors d(n): 1728
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 17 18 19 21 22 24 27 28 32 33 34 36 38 42 44 48 51 54 56 57 63 64 66 68 72 73 76 77 84 88 96 99 102 108 112 114 119 121 126 128 132 133 136 144 146 152 153 154 168 171 176 187 189 192 198 204 209 216 219 224 228 231 238 242 252 256 264 266 272 288 292 297 304 306 308 323 336 342 352 357 363 374 378 384 396 399 408 418 432 438 448 456 459 462 476 484 504 511 513 528 532 544 561 576 584 594 608 612 616 627 646 657 672 684 693 704 714 726 748 756 768 792 798 803 816 836 847 864 876 896 912 918 924 952 968 969 1008 1022 1026 1056 1064 1071 1088 1089 1122 1152 1168 1188 1197 1216 1224 1232 1241 1254 1292 1309 1314 1344 1368 1386 1387 1408 1428 1452 1463 1496 1512 1533 1584 1596 1606 1632 1672 1683 1694 1728 1752 1792 1824 1836 1848 1881 1904 1936 1938 1971 2016 2044 2052 2057 2079 2112 2128 2142 2176 2178 2244 2261 2299 2304 2336 2376 2394 2409 2432 2448 2464 2482 2508 2541 2584 2618 2628 2688 2736 2772 2774 2816 2856 2904 2907 2926 2992 3024 3066 3168 3192 3212 3213 3264 3267 3344 3366 3388 3456 3504 3553 3591 3648 3672 3696 3723 3762 3808 3872 3876 3927 3942 4032 4088 4104 4114 4158 4161 4224 4256 4284 4352 4356 4389 4488 4522 4598 4599 4672 4752 4788 4818 4864 4896 4928 4964 5016 5049 5082 5168 5236 5256 5376 5472 5544 5548 5621 5643 5712 5808 5814 5852 5984 6048 6132 6171 6336 6384 6424 6426 6528 6534 6688 6732 6776 6783 6897 6912 7008 7106 7182 7227 7296 7344 7392 7446 7524 7616 7623 7744 7752 7854 7884 8064 8176 8208 8228 8316 8322 8448 8512 8568 8687 8712 8721 8778 8833 8976 9044 9196 9198 9344 9504 9576 9636 9709 9792 9856 9928 10032 10098 10164 10336 10472 10512 10659 10944 11088 11096 11169 11242 11286 11424 11616 11628 11704 11781 11968 12096 12264 12342 12483 12672 12768 12848 12852 13056 13068 13167 13376 13464 13552 13566 13651 13794 13797 14016 14212 14364 14399 14454 14592 14688 14784 14892 15048 15232 15246 15257 15488 15504 15708 15768 16093 16128 16352 16416 16456 16632 16644 16863 17024 17136 17374 17424 17442 17556 17666 17952 18088 18392 18396 18513 18688 19008 19152 19272 19418 19584 19712 19856 20064 20196 20328 20349 20672 20691 20944 21024 21318 21681 21888 22176 22192 22338 22484 22572 22848 22869 23232 23256 23408 23562 23579 23936 24192 24528 24684 24871 24966 25344 25536 25696 25704 26061 26136 26334 26499 26752 26928 27104 27132 27302 27588 27594 28032 28424 28728 28798 28908 29127 29376 29568 29784 30096 30464 30492 30514 30976 31008 31416 31536 31977 32186 32704 32832 32912 33264 33288 33507 33726 34048 34272 34748 34848 34884 35112 35332 35343 35904 36176 36784 36792 37026 37449 38016 38304 38544 38836 39083 39168 39501 39712 40128 40392 40656 40698 40953 41344 41382 41888 42048 42636 43197 43362 43776 44352 44384 44676 44968 45144 45696 45738 45771 46464 46512 46816 47124 47158 47872 48279 48384 49056 49368 49742 49932 50589 51072 51392 51408 52122 52272 52668 52998 53504 53856 54208 54264 54604 55176 55188 55539 56064 56848 57456 57596 57816 58254 58752 59136 59568 60192 60984 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2546532 2563176 2580039 2604672 2620992 2640848 2648448 2685232 2686068 2702898 2728704 2764608 2775168 2796192 2813976 2853059 2859264 2883573 2927232 2929344 2948616 2967888 2970954 3015936 3018112 3020886 3057824 3069792 3089856 3110184 3112428 3153381 3183488 3195648 3237696 3282972 3295512 3335808 3338874 3370752 3391872 3395376 3417568 3440052 3476088 3494656 3524367 3532032 3554496 3581424 3603864 3631166 3686144 3728256 3751968 3752784 3815856 3844764 3905792 3907008 3931488 3957184 3961272 3972672 4027848 4054347 4093056 4119808 4146912 4149904 4194288 4204508 4220964 4288896 4316928 4377296 4394016 4451832 4456431 4523904 4527168 4531329 4586736 4634784 4668642 4699156 4739328 4775232 4793472 4805152 4856544 4924458 5002624 5003712 5056128 5087808 5093064 5126352 5160078 5209344 5241984 5281696 5296896 5370464 5372136 5405796 5446749 5529216 5550336 5592384 5627952 5706118 5767146 5854464 5858688 5897232 5935776 5941908 6036224 6041772 6115648 6139584 6179712 6220368 6224856 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16883856 17118354 17509184 17576064 17807328 17825724 18108672 18125316 18346944 18539136 18674568 18796624 18920286 19100928 19220608 19426176 19697832 19971413 20014848 20351232 20372256 20505408 20640312 21126784 21146202 21481856 21488544 21623184 21786996 22369536 22511808 22824472 23068584 23588928 23743104 23767632 24167088 24462592 24558336 24881472 24899424 25227048 25677531 26263776 26364096 26710992 27163008 27340544 27520416 27808704 28011852 28194936 28380429 28651392 28830912 29049328 29546748 30015744 30022272 30526848 30758112 31451904 31690176 31719303 32222784 32434776 32680494 33175296 33199232 33554304 33636064 33767712 34236708 35018368 35152128 35614656 35651448 36250632 36693888 37078272 37349136 37593248 37840572 38441216 38852352 39395664 39942826 40744512 41010816 41280624 42253568 42292404 42963712 42977088 43246368 43573992 45023616 45648944 46137168 47177856 47486208 47535264 48334176 49020741 49762944 49798848 50454096 51355062 52527552 52728192 53421984 54326016 55040832 55617408 56023704 56389872 56760858 57302784 57661824 58098656 59093496 59914239 60044544 61053696 61516224 63380352 63438606 64445568 64869552 65360988 66398464 67108608 67272128 67535424 68473416 70036736 71229312 71302896 72501264 73387776 74698272 75186496 75681144 77032593 78791328 79885652 81489024 82021632 82561248 84584808 85954176 86492736 87147984 90047232 91297888 92274336 94355712 95070528 96668352 98041482 99525888 99597696 100908192 102710124 105055104 105456384 106843968 110081664 111234816 112047408 112779744 113521716 115323648 116197312 118186992 119828478 123032448 126760704 126877212 128891136 129739104 130721976 134544256 135070848 136946832 142458624 142605792 145002528 149396544 150372992 151362288 154065186 157582656 159771304 162978048 165122496 169169616 171908352 172985472 174295968 179742717 182595776 184548672 190141056 193336704 196082964 199195392 201816384 205420248 210110208 213687936 220163328 224094816 225559488 227043432 232394624 236373984 239656956 246064896 253754424 259478208 261443952 269088512 270141696 273893664 285211584 290005056 298793088 300745984 302724576 308130372 315165312 319542608 330244992 338339232 345970944 348591936 359485434 365191552 369097344 380282112 386673408 392165928 403632768 410840496 427375872 448189632 451118976 454086864 464789248 472747968 479313912 507508848 518956416 522887904 539228151 547787328 570423168 580010112 597586176 605449152 616260744 630330624 639085216 660489984 676678464 697183872 718970868 730383104 738194688 784331856 807265536 821680992 896379264 902237952 908173728 945495936 958627824 1015017696 1037912832 1045775808 1078456302 1095574656 1140846336 1160020224 1210898304 1232521488 1278170432 1353356928 1394367744 1437941736 1568663712 1643361984 1792758528 1816347456 1890991872 1917255648 2030035392 2091551616 2156912604 2191149312 2421796608 2465042976 2556340864 2706713856 2875883472 3137327424 3286723968 3632694912 3834511296 4060070784 4183103232 4313825208 4930085952 5112681728 5751766944 6274654848 6573447936 7265389824 7669022592 8120141568 8627650416 9860171904 11503533888 12549309696 15338045184 17255300832 19720343808 23007067776 34510601664 46014135552 69021203328 138042406656
• Sum of all divisors σ(n): 579370982400
• Sum of proper divisors (its aliquot sum) s(n): 441328575744
• 138042406656 is an abundant number, because the sum of its proper divisors (441328575744) is greater than itself. Its abundance is 303286169088

Bases of 138042406656

• Binary: 10000000100011111101111111011100000000₂
• Hexadecimal: 0x2023F7F700
• Base-36: 1REYVUO0

Squares and roots of 138042406656

• 138042406656 squared (138042406656²) is 19055706035380473102336
• 138042406656 cubed (138042406656³) is 2630495521653184791674336015548416
• The square root of 138042406656 is 371540.5854762033
• The cube root of 138042406656 is 5168.1785284045

Scales and comparisons

• 138,042,406,656 seconds is equal to 4,389 years, 16 weeks, 5 days, 57 minutes, 36 seconds.
• To count from 1 to 138,042,406,656 would take you about eight thousand, seven hundred seventy-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 138042406656 cubic inches would be around 430.7 feet tall.

Recreational maths with 138042406656

• 138042406656 backwards is 656604240831
• The number of decimal digits it has is: 12
• The sum of 138042406656's digits is 45
• More coming soon!