138679823520

Names of 138679823520

• Cardinal: 138679823520 can be written as One hundred thirty-eight billion, six hundred seventy-nine million, eight hundred twenty-three thousand, five hundred twenty.

Scientific notation

• Scientific notation: 1.3867982352 × 10¹¹

Factors of 138679823520

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 106

Divisors of 138679823520

• Number of divisors d(n): 1728
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 27 28 29 30 32 35 36 38 40 41 42 45 48 49 54 56 57 58 60 63 70 72 76 80 82 84 87 90 95 96 98 105 108 112 114 116 120 123 126 133 135 140 144 145 147 152 160 164 168 171 174 180 189 190 196 203 205 210 216 224 228 232 240 245 246 252 261 266 270 280 285 287 288 290 294 304 315 328 336 342 348 360 369 378 380 392 399 406 410 420 432 435 441 456 464 480 490 492 504 513 522 532 540 551 560 570 574 580 588 608 609 615 630 656 665 672 684 696 720 735 738 756 760 779 783 784 798 812 820 840 841 855 861 864 870 882 912 928 931 945 980 984 1008 1015 1026 1044 1064 1080 1102 1107 1120 1140 1148 1160 1176 1189 1197 1218 1230 1260 1305 1312 1323 1330 1368 1392 1421 1435 1440 1470 1476 1512 1520 1558 1566 1568 1596 1624 1640 1653 1680 1682 1710 1722 1740 1764 1824 1827 1845 1862 1890 1960 1968 1995 2009 2016 2030 2052 2088 2128 2160 2204 2205 2214 2280 2296 2320 2337 2352 2378 2394 2436 2460 2520 2523 2565 2583 2610 2646 2660 2736 2755 2784 2793 2842 2870 2940 2952 3024 3040 3045 3116 3132 3192 3248 3280 3306 3360 3364 3420 3444 3480 3528 3567 3591 3654 3690 3724 3780 3857 3895 3915 3920 3936 3990 4018 4060 4104 4176 4205 4256 4263 4305 4320 4408 4410 4428 4560 4592 4640 4655 4674 4704 4756 4788 4872 4920 4959 5040 5046 5130 5166 5220 5292 5320 5453 5472 5481 5510 5535 5586 5684 5740 5880 5887 5904 5945 5985 6027 6048 6090 6232 6264 6384 6496 6560 6612 6615 6728 6840 6888 6960 7011 7056 7105 7134 7182 7308 7380 7448 7560 7569 7714 7749 7790 7830 7840 7980 8036 8120 8208 8265 8323 8352 8379 8410 8526 8610 8816 8820 8856 9120 9135 9184 9310 9348 9512 9576 9744 9840 9918 10045 10080 10092 10260 10332 10440 10584 10640 10701 10906 10962 11020 11070 11172 11368 11480 11571 11685 11760 11774 11808 11890 11970 12054 12180 12464 12528 12615 12768 12789 12915 13224 13230 13456 13680 13776 13920 13965 14022 14112 14210 14268 14364 14616 14760 14877 14896 15120 15138 15428 15498 15580 15660 15960 15979 16072 16240 16359 16416 16530 16646 16758 16820 17052 17220 17632 17640 17661 17712 17835 17955 18081 18270 18620 18696 19024 19152 19285 19488 19680 19836 20090 20184 20520 20664 20880 21033 21168 21280 21315 21402 21812 21924 22040 22140 22344 22591 22707 22736 22960 23142 23370 23520 23548 23780 23940 24108 24360 24795 24928 24969 25056 25137 25230 25578 25830 26448 26460 26912 26999 27265 27360 27405 27552 27930 28044 28420 28536 28728 29232 29435 29520 29754 29792 30135 30240 30276 30856 30996 31160 31320 31920 31958 32103 32144 32480 32718 33060 33292 33516 33640 34104 34440 34481 34713 35055 35280 35322 35424 35670 35910 36162 36540 37240 37392 37845 38048 38171 38304 38367 38570 38745 39672 40180 40368 41040 41209 41328 41615 41760 41895 42066 42336 42630 42804 43624 43848 44080 44280 44688 45182 45414 45472 45920 46284 46740 47096 47560 47880 47937 48216 48720 49077 49590 49938 50274 50460 51156 51660 52896 52920 52983 53505 53998 54243 54530 54810 55860 56088 56840 57072 57456 57855 58261 58464 58870 59040 59508 60270 60552 61712 61992 62320 62640 63840 63916 63945 64206 64288 65436 66120 66584 67032 67280 67773 68208 68880 68962 69426 70110 70560 70644 71340 71820 72324 73080 74385 74480 74784 74907 75690 76342 76734 77140 77490 79344 79895 80360 80736 80997 81795 82080 82418 82656 83230 83790 84132 85260 85608 87248 87696 88160 88305 88560 89376 90364 90405 90828 92568 93480 94192 95120 95760 95874 96432 97440 98154 99180 99876 100548 100920 102312 103320 103443 104139 105165 105840 105966 107010 107996 108486 109060 109620 111720 111853 112176 112955 113535 113680 114144 114513 114912 115710 116522 117740 119016 120540 121104 123424 123627 123984 124640 124845 125280 125685 127832 127890 128412 130872 132240 133168 134064 134560 134995 135546 136416 137760 137924 138852 140220 141288 142680 143640 143811 144648 146160 147231 148770 148960 149814 151380 152684 153468 154280 154980 158137 158688 158949 159790 160515 160720 161994 163590 164836 166460 167580 168264 170520 171216 172405 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454140 458052 462840 466088 470960 474411 476064 479370 482160 482734 485982 490770 494508 499380 502740 511328 511560 513648 517215 520695 523488 524349 529830 539980 542184 542430 551696 555408 559265 560880 565152 570720 572565 574560 575244 578592 582610 588924 595080 599256 605520 609957 610736 613872 617120 618135 619920 620658 632548 635796 639160 642060 647976 654360 655139 659344 665840 670320 671118 673056 677730 682080 687078 689620 694260 699132 706440 719055 722912 723240 724101 726624 728973 736155 741762 749070 763420 766992 767340 782971 785232 790685 793440 794745 799008 804384 809970 813276 824180 827544 833112 841320 847728 856080 862866 863968 867888 872480 873915 876960 894824 898884 903640 908280 916104 925680 930987 932176 941920 948822 958740 964320 965468 971964 981540 989016 998760 1005480 1006677 1016595 1023120 1027296 1030617 1034430 1041390 1048698 1059660 1079960 1084368 1084860 1103392 1106959 1110816 1112643 1118530 1121760 1123605 1145130 1150488 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2876220 2892960 2896404 2915892 2944620 2967048 2996280 3020031 3049785 3053680 3069360 3103290 3131884 3146094 3162740 3178980 3239880 3253104 3275695 3296720 3310176 3320877 3332448 3355590 3365280 3379138 3435390 3451464 3495660 3579296 3595536 3614560 3620505 3633120 3644865 3664416 3708810 3723948 3795288 3834960 3861872 3887856 3914855 3926160 3930834 3956064 3995040 4021920 4026708 4066380 4122468 4137720 4165560 4194792 4238640 4269699 4314330 4319840 4339440 4344606 4427836 4450572 4474120 4494420 4580520 4585973 4601952 4654935 4660880 4697826 4711392 4744110 4827340 4859820 4879656 4945080 4965264 5033385 5060384 5068707 5086368 5136480 5153085 5241112 5243490 5368944 5421840 5496624 5516960 5534795 5554080 5563215 5593056 5692932 5752440 5792808 5831784 5889240 5896251 5934096 5992560 6040062 6099570 6107360 6138720 6206580 6263768 6292188 6325480 6357960 6479760 6506208 6516909 6551390 6593440 6641754 6711180 6758276 6870780 6902928 6991320 7046739 7116165 7191072 7241010 7289730 7417620 7447896 7590576 7669920 7723744 7775712 7829710 7852320 7861668 7865235 8053416 8132760 8244936 8275440 8331120 8389584 8447845 8477280 8539398 8628660 8678880 8689212 8855672 8901144 8948240 8988840 9161040 9171946 9309870 9321760 9395652 9488220 9654680 9719640 9759312 9827085 9890160 9930528 9962631 10066770 10137414 10306170 10482224 10486980 10737888 10843680 10861515 10993248 11069590 11126430 11385864 11504880 11585616 11663568 11744565 11778480 11792502 11868192 11985120 12080124 12199140 12413160 12527536 12584376 12650960 12715920 12959520 13033818 13102780 13283508 13422360 13516552 13741560 13757919 13805856 13982640 14093478 14232330 14482020 14579460 14835240 14895792 15100155 15181152 15206121 15659420 15723336 15730470 16106832 16265520 16489872 16550880 16604385 16662240 16779168 16895690 17078796 17257320 17378424 17688753 17711344 17802288 17896480 17977680 18322080 18343892 18619740 18791304 18976440 19309360 19439280 19518624 19654170 19780320 19925262 20133540 20274828 20612340 20964448 20973960 21140217 21348495 21723030 22139180 22252860 22771728 22929865 23009760 23171232 23327136 23489130 23556960 23585004 24160248 24398280 24826320 25055072 25168752 25301920 25343535 25431840 26067636 26205560 26567016 26844720 27033104 27483120 27515838 27965280 28186956 28464660 28964040 29158920 29481255 29670480 29791584 29887893 30200310 30412242 31318840 31446672 31460940 32101811 32213664 32531040 32584545 32979744 33208770 33791380 34157592 34514640 34756848 35233695 35377506 35422688 35604576 35955360 36687784 37239480 37582608 37952880 38618720 38878560 39308340 39850524 40267080 40549656 41224680 41273757 41947920 42280434 42696990 43446060 44278360 44505720 45543456 45618363 45859730 46978260 47170008 48320496 48796560 49652640 49813155 50337504 50687070 52135272 52411120 53134032 53689440 54066208 54966240 55031676 56373912 56929320 57928080 58317840 58962510 59340960 59775786 60400620 60824484 62637680 62893344 62921880 64203622 65169090 66417540 67582760 68315184 68789595 69029280 69513696 70467390 70755012 73375568 74478960 75165216 75905760 76030605 78616680 79701048 80534160 81099312 82449360 82547514 83895840 84560868 85393980 86892120 88443765 88556720 89011440 91236726 91719460 93956520 94340016 96305433 96640992 97593120 99626310 101374140 104270544 104822240 105701085 106268064 110063352 112747824 113858640 115856160 116635680 117925020 119551572 120801240 121648968 123821271 125275360 125843760 128407244 130338180 132835080 135165520 136630368 137579190 140934780 141510024 146751136 148957920 149439465 152061210 157233360 159402096 160509055 161068320 162198624 164898720 165095028 169121736 170787960 173784240 176887530 177113440 178022880 182473452 183438920 187913040 188680032 192610866 199252620 202748280 206368785 208541088 211402170 220126704 225495648 227717280 228091815 235850040 239103144 241602480 243297936 247642542 251687520 256814488 260676360 265670160 270331040 275158380 281869560 283020048 288916299 298878930 304122420 314466720 318804192 321018110 330190056 338243472 341575920 347568480 353775060 364946904 366877840 375826080 385221732 398505240 405496560 412737570 422804340 440253408 456183630 471700080 478206288 481527165 483204960 486595872 495285084 513628976 521352720 531340320 550316760 563739120 566040096 577832598 597757860 608244840 619106355 642036220 660380112 676486944 683151840 707550120 729893808 733755680 770443464 797010480 810993120 825475140 845608680 866748897 912367260 943400160 956412576 963054330 990570168 1027257952 1042705440 1100633520 1127478240 1155665196 1195515720 1216489680 1238212710 1284072440 1320760224 1415100240 1444581495 1459787616 1540886928 1594020960 1650950280 1691217360 1733497794 1824734520 1926108660 1981140336 2201267040 2311330392 2391031440 2432979360 2476425420 2568144880 2830200480 2889162990 3081773856 3301900560 3382434720 3466995588 3649469040 3852217320 3962280672 4333744485 4622660784 4782062880 4952850840 5136289760 5778325980 6603801120 6933991176 7298938080 7704434640 8667488970 9245321568 9905701680 11556651960 13867982352 15408869280 17334977940 19811403360 23113303920 27735964704 34669955880 46226607840 69339911760 138679823520
• Sum of all divisors σ(n): 630556617600
• Sum of proper divisors (its aliquot sum) s(n): 491876794080
• 138679823520 is an abundant number, because the sum of its proper divisors (491876794080) is greater than itself. Its abundance is 353196970560

Bases of 138679823520

• Binary: 10000001001001111101100010110010100000₂
• Hexadecimal: 0x2049F62CA0
• Base-36: 1RPIDWO0

Squares and roots of 138679823520

• 138679823520 squared (138679823520²) is 19232093451538345190400
• 138679823520 cubed (138679823520³) is 2667103325779485383517512798208000
• The square root of 138679823520 is 372397.3999909239
• The cube root of 138679823520 is 5176.1210795301

Scales and comparisons

• 138,679,823,520 seconds is equal to 4,409 years, 30 weeks, 4 days, 13 hours, 12 minutes.
• To count from 1 to 138,679,823,520 would take you about eight thousand, eight hundred nineteen 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 138679823520 cubic inches would be around 431.3 feet tall.

Recreational maths with 138679823520

• 138679823520 backwards is 025328976831
• 138679823520 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138679823520's digits is 54
• More coming soon!