138342972768

Names of 138342972768

• Cardinal: 138342972768 can be written as One hundred thirty-eight billion, three hundred forty-two million, nine hundred seventy-two thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.38342972768 × 10¹¹

Factors of 138342972768

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 187

Divisors of 138342972768

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 37 39 41 42 44 48 52 56 66 73 74 77 78 82 84 88 91 96 104 111 112 123 132 143 146 148 154 156 164 168 169 176 182 208 219 222 224 231 246 259 264 273 286 287 292 296 308 312 328 336 338 352 364 407 416 429 438 444 451 462 481 492 507 511 518 528 533 546 572 574 584 592 616 624 656 672 676 728 777 803 814 858 861 876 888 902 924 949 962 984 1001 1014 1022 1036 1056 1066 1092 1144 1148 1168 1183 1184 1221 1232 1248 1312 1352 1353 1443 1456 1517 1533 1554 1599 1606 1628 1716 1722 1752 1776 1804 1848 1859 1898 1924 1968 2002 2028 2044 2072 2132 2184 2288 2296 2336 2366 2409 2442 2464 2701 2704 2706 2847 2849 2886 2912 2993 3003 3034 3066 3108 3157 3198 3212 3256 3367 3432 3444 3504 3549 3552 3608 3696 3718 3731 3796 3848 3936 4004 4056 4088 4144 4264 4368 4551 4576 4592 4732 4818 4884 5291 5402 5408 5412 5577 5621 5694 5698 5772 5863 5986 6006 6068 6132 6216 6253 6314 6396 6424 6512 6643 6734 6864 6888 6929 7008 7098 7216 7392 7436 7462 7592 7696 8008 8103 8112 8176 8288 8528 8547 8736 8979 9102 9184 9464 9471 9636 9768 10101 10439 10582 10619 10804 10824 11154 11193 11242 11388 11396 11544 11726 11972 12012 12136 12264 12337 12432 12506 12628 12792 12848 13013 13024 13286 13468 13728 13776 13858 14196 14432 14872 14924 15184 15392 15873 16016 16206 16224 16352 16687 16863 17056 17094 17589 17958 18204 18759 18907 18928 18942 19272 19536 19721 19929 20202 20787 20878 20951 21164 21238 21608 21648 22308 22386 22484 22776 22792 23088 23452 23944 24024 24272 24528 24674 24864 25012 25256 25584 25696 26026 26572 26936 27552 27716 28392 29711 29744 29848 30368 31317 31746 31857 32032 32412 32923 33374 33726 34188 35113 35178 35916 36408 37011 37037 37518 37814 37856 37884 38544 38909 39039 39072 39442 39858 40404 41041 41574 41756 41902 42328 42476 43216 43296 43771 44616 44772 44968 45552 45584 46176 46904 47888 48048 48503 48544 49056 49348 50024 50061 50512 51168 52052 53144 53872 55432 56721 56784 59163 59422 59488 59696 62634 62853 63492 63714 64824 65846 66748 67452 68376 68783 70226 70356 71832 72816 73073 74022 74074 75036 75628 75768 76219 77088 77818 78078 78884 79716 80808 82082 83148 83512 83804 84656 84952 86359 86432 87542 89133 89232 89544 89936 91104 91168 93808 95776 96096 97006 98696 98769 100048 100122 101024 104104 105339 106288 107744 110741 110864 111111 113442 113568 116727 116809 118326 118844 119392 123123 125268 125706 126984 127428 129648 131313 131692 133496 134904 135707 136752 137566 138047 140452 140712 143664 145509 145632 146146 148044 148148 150072 151256 151536 152438 155636 156156 157768 159432 161616 164164 166296 167024 167608 169312 169904 172718 175084 178266 178464 179088 179872 187616 194012 197392 197538 200096 200244 206349 207977 208208 210678 212576 216931 219219 221482 221728 222222 226884 228657 230461 233454 233618 236652 237688 245791 246246 250536 251412 253968 254856 256373 259077 259296 262626 263384 266992 269808 271414 272363 273504 275132 276094 280904 281424 287328 291018 292292 296088 296296 300144 302512 303072 304876 311272 312312 315536 318864 323232 328328 332223 332592 334048 335216 339808 345436 350168 350427 356532 358176 386243 388024 394784 395076 400488 407121 412698 414141 415954 416416 421356 427999 433862 438438 442964 444444 453768 456469 457314 460922 466908 467236 473304 475376 481481 491582 492492 501072 502824 505817 507936 509712 512746 518154 525252 526768 533533 533984 539616 542828 544726 550264 552188 561808 562848 582036 584584 592176 592592 600288 605024 609752 622544 623931 624624 631072 637728 650793 656656 664446 665184 670432 690872 691383 700336 700854 713064 737373 769119 772486 775187 776048 790152 800976 814242 817089 825396 828282 831908 842712 855998 867724 876876 885928 888888 907536 912938 914628 921844 933816 934472 946608 949949 950752 962962 983164 984984 1002144 1005648 1011634 1019424 1025492 1036308 1050504 1053536 1067066 1085656 1089452 1100528 1104376 1123616 1158729 1164072 1169168 1184352 1185184 1218151 1219504 1245088 1247862 1249248 1283997 1301586 1313312 1328892 1369407 1381744 1382766 1400672 1401708 1426128 1439633 1444443 1474746 1517451 1518517 1538238 1544972 1550374 1552096 1580304 1600599 1601952 1628484 1634178 1650792 1656564 1663816 1685424 1711996 1735448 1753752 1771856 1777776 1794611 1815072 1825876 1829256 1843688 1867632 1868944 1893216 1899898 1925924 1966328 1969968 2011296 2023268 2050984 2072616 2101008 2134132 2171312 2178904 2201056 2208752 2317458 2325561 2328144 2338336 2436302 2439008 2495724 2567994 2603172 2657784 2703701 2738814 2763488 2765532 2803416 2820103 2849847 2852256 2879266 2888886 2949492 2995993 3034902 3037034 3076476 3089944 3100748 3160608 3195283 3201198 3256968 3268356 3301584 3313128 3327632 3370848 3423992 3470896 3507504 3540719 3543712 3555552 3589222 3651752 3654453 3658512 3687376 3735264 3737888 3799796 3851848 3932656 3939936 4046536 4101968 4145232 4202016 4268264 4318899 4342624 4357808 4417504 4555551 4634916 4651122 4656288 4872604 4991448 5021159 5135988 5206344 5315568 5383833 5407402 5477628 5531064 5563987 5606832 5640206 5699694 5758532 5777772 5898984 5991986 6069804 6074068 6152952 6179888 6201496 6390566 6402396 6513936 6536712 6603168 6626256 6655264 6847984 6941792 7015008 7081438 7178444 7303504 7308906 7317024 7374752 7599592 7703696 7865312 8093072 8111103 8203936 8290464 8460309 8527057 8536528 8637798 8715616 8987979 9111102 9269832 9302244 9585849 9745208 9982896 10042318 10077431 10271976 10412688 10622157 10631136 10767666 10814804 10955256 11062128 11127974 11213664 11280412 11399388 11517064 11555544 11797968 11983972 12139608 12148136 12305904 12359776 12402992 12781132 12804792 13027872 13073424 13252512 13695968 14162876 14356888 14607008 14617812 15063477 15199184 15407392 15835963 16186144 16222206 16691961 16920618 17054114 17073056 17275596 17975958 18222204 18539664 18604488 18715229 19171698 19490416 19740721 19965792 20084636 20154862 20543952 20825376 21244314 21535332 21629608 21910512 22124256 22255948 22560824 22798776 23034128 23111088 23595936 23967944 24279216 24296272 24611808 24805984 25562264 25581171 25609584 26146848 28325752 28713776 29235624 30126954 30232293 30398368 31671926 32444412 33383922 33841236 34108228 34551192 35148113 35951916 36444408 37079328 37208976 37430458 38343396 38947909 38980832 39481442 40169272 40309724 41087904 42488628 43070664 43259216 43821024 44511896 45121648 45597552 46068256 46222176 47507889 47935888 48558432 48592544 51124528 51162342 51219168 56145687 56651504 57427552 58471248 59222163 60253908 60464586 63343852 64888824 66767844 67682472 68216456 69102384 70296226 71903832 72888816 74417952 74860916 76686792 77895818 78962884 80338544 80619448 84977256 86141328 86518432 89023792 90243296 91195104 95015778 95871776 102249056 102324684 105444339 110851741 112291374 113303008 116843727 116942496 118444326 120507816 120929172 126687704 129777648 131006603 133535688 135364944 136432912 138204768 140592452 143807664 145777632 149721832 153373584 155791636 157925768 160677088 161238896 169954512 172282656 178047584 190031556 204649368 205867519 210888678 221703482 224582748 233687454 236888652 241015632 241858344 253375408 259555296 262013206 267071376 270729888 272865824 281184904 287615328 299443664 306747168 311583272 315851536 322477792 332555223 339909024 380063112 393019809 409298736 411735038 421777356 443406964 449165496 467374908 473777304 482031264 483716688 506750816 524026412 534142752 562369808 598887328 617602557 623166544 631703072 665110446 760126224 786039618 818597472 823470076 843554712 886813928 898330992 934749816 947554608 967433376 1048052824 1124739616 1235205114 1246333088 1330220892 1441072633 1520252448 1572079236 1646940152 1687109424 1773627856 1796661984 1869499632 1895109216 2096105648 2470410228 2660441784 2882145266 3144158472 3293880304 3374218848 3547255712 3738999264 4192211296 4323217899 4940820456 5320883568 5764290532 6288316944 6587760608 8646435798 9881640912 10641767136 11528581064 12576633888 17292871596 19763281824 23057162128 34585743192 46114324256 69171486384 138342972768
• Sum of all divisors σ(n): 522862470144
• Sum of proper divisors (its aliquot sum) s(n): 384519497376
• 138342972768 is an abundant number, because the sum of its proper divisors (384519497376) is greater than itself. Its abundance is 246176524608

Bases of 138342972768

• Binary: 10000000110101111000100011110101100000₂
• Hexadecimal: 0x2035E23D60
• Base-36: 1RJXU0YO

Squares and roots of 138342972768

• 138342972768 squared (138342972768²) is 19138778114287589581824
• 138342972768 cubed (138342972768³) is 2647715459477682397238638139768832
• The square root of 138342972768 is 371944.8517831643
• The cube root of 138342972768 is 5171.9267806285

Scales and comparisons

• 138,342,972,768 seconds is equal to 4,398 years, 45 weeks, 4 days, 19 hours, 32 minutes, 48 seconds.
• To count from 1 to 138,342,972,768 would take you about eight thousand, seven hundred ninety-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 138342972768 cubic inches would be around 431 feet tall.

Recreational maths with 138342972768

• 138342972768 backwards is 867279243831
• The number of decimal digits it has is: 12
• The sum of 138342972768's digits is 60
• More coming soon!