138114123840

Names of 138114123840

• Cardinal: 138114123840 can be written as One hundred thirty-eight billion, one hundred fourteen million, one hundred twenty-three thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.3811412384 × 10¹¹

Factors of 138114123840

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 261

Divisors of 138114123840

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 64 66 70 72 77 80 81 84 88 90 96 99 105 108 110 112 120 121 126 132 135 140 144 154 160 162 165 168 176 180 189 192 198 210 216 220 224 231 233 240 242 243 252 264 270 280 288 297 308 315 320 324 330 336 352 360 363 378 385 396 405 420 432 440 448 462 466 480 484 486 495 504 528 540 560 567 576 594 605 616 630 648 660 672 693 699 704 720 726 729 756 770 792 810 840 847 864 880 891 924 932 945 960 968 972 990 1008 1056 1080 1089 1120 1134 1155 1165 1188 1210 1215 1232 1260 1296 1320 1344 1386 1398 1440 1452 1458 1485 1512 1540 1584 1620 1631 1680 1694 1701 1728 1760 1782 1815 1848 1864 1890 1936 1944 1980 2016 2079 2097 2112 2160 2178 2187 2240 2268 2310 2330 2376 2420 2430 2464 2520 2541 2563 2592 2640 2673 2772 2796 2835 2880 2904 2916 2970 3024 3080 3168 3240 3262 3267 3360 3388 3402 3465 3495 3520 3564 3630 3645 3696 3728 3780 3872 3888 3960 4032 4158 4194 4235 4320 4356 4374 4455 4536 4620 4660 4752 4840 4860 4893 4928 5040 5082 5103 5126 5184 5280 5346 5445 5544 5592 5670 5808 5832 5940 6048 6160 6237 6291 6336 6480 6524 6534 6720 6776 6804 6930 6990 7128 7260 7290 7392 7456 7560 7623 7689 7744 7776 7920 8019 8155 8316 8388 8470 8505 8640 8712 8748 8910 9072 9240 9320 9504 9680 9720 9786 9801 10080 10164 10206 10252 10395 10485 10560 10692 10890 10935 11088 11184 11340 11616 11664 11880 12096 12320 12474 12582 12705 12815 12960 13048 13068 13365 13552 13608 13860 13980 14256 14520 14580 14679 14784 14912 15120 15246 15309 15378 15552 15840 16038 16310 16335 16632 16776 16940 17010 17424 17496 17820 17941 18144 18480 18640 18711 18873 19008 19360 19440 19572 19602 20160 20328 20412 20504 20790 20970 21384 21780 21870 22176 22368 22680 22869 23067 23232 23328 23760 24057 24465 24640 24948 25164 25410 25515 25630 25920 26096 26136 26730 27104 27216 27720 27960 28193 28512 29040 29160 29358 29403 30240 30492 30618 30756 31185 31455 31680 32076 32620 32670 33264 33552 33880 34020 34848 34992 35640 35882 36288 36960 37280 37422 37746 38115 38445 38720 38880 39144 39204 40095 40656 40824 41008 41580 41940 42768 43560 43740 44037 44352 44736 45360 45738 46134 46656 47520 48114 48930 49005 49896 50328 50820 51030 51260 52192 52272 53460 53823 54208 54432 55440 55920 56133 56386 56619 57024 58080 58320 58716 58806 60480 60984 61236 61512 62370 62910 64152 65240 65340 66528 67104 67760 68040 68607 69201 69696 69984 71280 71764 73395 73920 74560 74844 75492 76230 76545 76890 77760 78288 78408 80190 81312 81648 82016 83160 83880 84579 85536 87120 87480 88074 88209 89705 90720 91476 92268 93555 94365 95040 96228 97860 98010 99792 100656 101640 102060 102520 104384 104544 106920 107646 108864 110880 111840 112266 112772 113238 114345 115335 116160 116640 117432 117612 120285 121968 122472 123024 124740 125820 128304 130480 130680 132111 133056 134208 135520 136080 137214 138402 139968 140965 142560 143528 146790 147015 149688 150984 152460 153090 153780 156576 156816 160380 161469 162624 163296 164032 166320 167760 168399 169158 169857 171072 174240 174960 176148 176418 179410 181440 182952 184536 187110 188730 192456 195720 196020 197351 199584 201312 203280 204120 205040 205821 207603 209088 213840 215292 220185 221760 223680 224532 225544 226476 228690 230670 233280 234864 235224 240570 243936 244944 246048 249480 251640 253737 256608 260960 261360 264222 264627 269115 271040 272160 274428 276804 280665 281930 283095 285120 287056 293580 294030 299376 301968 304920 306180 307560 313152 313632 320760 322938 326592 332640 335520 336798 338316 339714 343035 346005 348480 349920 352296 352836 358820 365904 369072 374220 377460 384912 391440 392040 394702 396333 399168 402624 406560 408240 410080 411642 415206 422895 427680 430584 440370 441045 449064 451088 452952 457380 461340 469728 470448 481140 484407 487872 489888 492096 498960 503280 507474 509571 513216 521920 522720 528444 529254 538230 544320 548856 553608 561330 563860 566190 574112 587160 588060 592053 598752 603936 609840 612360 615120 617463 622809 627264 641520 645876 660555 665280 671040 673596 676632 679428 686070 692010 699840 704592 705672 717640 731808 738144 748440 754920 761211 769824 782880 784080 789404 792666 807345 813120 816480 820160 823284 830412 841995 845790 849285 855360 861168 880740 882090 898128 902176 905904 914760 922680 939456 940896 962280 968814 979776 986755 997920 1006560 1014948 1019142 1029105 1038015 1045440 1056888 1058508 1076460 1097712 1107216 1122660 1127720 1132380 1148224 1174320 1176120 1184106 1188999 1197504 1207872 1219680 1224720 1230240 1234926 1245618 1268685 1283040 1291752 1321110 1323135 1347192 1353264 1358856 1372140 1384020 1409184 1411344 1435280 1453221 1463616 1476288 1496880 1509840 1522422 1539648 1565760 1568160 1578808 1585332 1614690 1632960 1646568 1660824 1683990 1691580 1698570 1722336 1761480 1764180 1776159 1796256 1804352 1811808 1829520 1845360 1852389 1868427 1881792 1924560 1937628 1973510 1981665 1995840 2013120 2029896 2038284 2058210 2076030 2113776 2117016 2152920 2195424 2214432 2245320 2255440 2264760 2283633 2348640 2352240 2368212 2377998 2422035 2439360 2449440 2460480 2469852 2491236 2537370 2547855 2566080 2583504 2642220 2646270 2694384 2706528 2717712 2744280 2768040 2818368 2822688 2870560 2906442 2960265 2993760 3019680 3044844 3087315 3114045 3136320 3157616 3170664 3229380 3293136 3321648 3367980 3383160 3397140 3444672 3522960 3528360 3552318 3566997 3592512 3623616 3659040 3690720 3704778 3736854 3806055 3849120 3875256 3947020 3963330 4059792 4076568 4116420 4152060 4227552 4234032 4305840 4359663 4390848 4428864 4490640 4510880 4529520 4567266 4697280 4704480 4736424 4755996 4844070 4898880 4939704 4982472 5074740 5095710 5167008 5284440 5292540 5328477 5388768 5413056 5435424 5488560 5536080 5605281 5645376 5741120 5812884 5920530 5944995 5987520 6039360 6089688 6174630 6228090 6315232 6341328 6458760 6586272 6643296 6735960 6766320 6794280 6850899 7045920 7056720 7104636 7133994 7266105 7318080 7381440 7409556 7473708 7612110 7698240 7750512 7894040 7926660 8119584 8153136 8232840 8304120 8455104 8468064 8611680 8719326 8880795 8981280 9021760 9059040 9134532 9261945 9342135 9408960 9472848 9511992 9688140 9879408 9964944 10149480 10191420 10334016 10568880 10585080 10656954 10777536 10870848 10977120 11072160 11210562 11418165 11625768 11841060 11889990 12179376 12349260 12456180 12630464 12682656 12917520 13078989 13172544 13286592 13471920 13532640 13588560 13701798 14091840 14113440 14209272 14267988 14532210 14819112 14947416 15224220 15501024 15788080 15853320 15985431 16239168 16306272 16465680 16608240 16936128 17223360 17438652 17761590 17834985 17962560 18118080 18269064 18523890 18684270 18945696 19023984 19376280 19758816 19929888 20298960 20382840 20552697 21137760 21170160 21313908 21798315 21954240 22144320 22421124 22836330 23251536 23682120 23779980 24358752 24698520 24912360 25365312 25835040 26157978 26642385 26943840 27065280 27177120 27403596 28026405 28226880 28418544 28535976 29064420 29638224 29894832 30448440 31002048 31576160 31706640 31970862 32612544 32931360 33216480 34254495 34877304 35523180 35669970 36538128 37047780 37368540 37891392 38047968 38752560 39236967 39517632 39859776 40597920 40765680 41105394 42275520 42340320 42627816 43596630 44842248 45672660 46503072 47364240 47559960 47956293 48717504 49397040 49824720 51670080 52315956 53284770 53887680 54354240 54807192 56052810 56837088 57071952 58128840 59276448 59789664 60896880 61658091 63152320 63413280 63941724 65394945 65862720 66432960 68508990 69754608 71046360 71339940 73076256 74095560 74737080 76095936 77505120 78473934 79927155 81195840 81531360 82210788 84680640 85255632 87193260 89684496 91345320 93006144 94728480 95119920 95912586 98794080 99649440 102763485 104631912 106569540 109614384 112105620 113674176 114143904 116257680 118552896 119579328 121793760 123316182 126826560 127883448 130789890 137017980 139509216 142092720 142679880 143868879 146152512 148191120 149474160 155010240 156947868 159854310 163062720 164421576 170511264 174386520 179368992 182690640 189456960 190239840 191825172 196184835 197588160 199298880 205526970 209263824 213139080 219228768 224211240 228287808 232515360 239781465 243587520 246632364 255766896 261579780 274035960 279018432 284185440 285359760 287737758 296382240 298948320 308290455 313895736 319708620 328843152 341022528 348773040 358737984 365381280 380479680 383650344 392369670 411053940 418527648 426278160 431606637 438457536 448422480 465030720 479562930 493264728 511533792 523159560 548071920 568370880 570719520 575475516 592764480 597896640 616580910 627791472 639417240 657686304 697546080 719344395 730762560 767300688 784739340 822107880 837055296 852556320 863213274 896844960 959125860 986529456 1023067584 1046319120 1096143840 1141439040 1150951032 1233161820 1255582944 1278834480 1315372608 1395092160 1438688790 1534601376 1569478680 1644215760 1705112640 1726426548 1793689920 1918251720 1973058912 2092638240 2158033185 2192287680 2301902064 2466323640 2511165888 2557668960 2877377580 3069202752 3138957360 3288431520 3452853096 3836503440 3946117824 4185276480 4316066370 4603804128 4932647280 5115337920 5754755160 6277914720 6576863040 6905706192 7673006880 8632132740 9207608256 9865294560 11509510320 12555829440 13811412384 15346013760 17264265480 19730589120 23019020640 27622824768 34528530960 46038041280 69057061920 138114123840
• Sum of all divisors σ(n): 622280655360
• Sum of proper divisors (its aliquot sum) s(n): 484166531520
• 138114123840 is an abundant number, because the sum of its proper divisors (484166531520) is greater than itself. Its abundance is 346052407680

Bases of 138114123840

• Binary: 10000000101000001111100100100001000000₂
• Hexadecimal: 0x20283E4840
• Base-36: 1RG5L000

Squares and roots of 138114123840

• 138114123840 squared (138114123840²) is 19075511204090856345600
• 138114123840 cubed (138114123840³) is 2634597516753112047927848239104000
• The square root of 138114123840 is 371637.0862010411
• The cube root of 138114123840 is 5169.0733815405

Scales and comparisons

• 138,114,123,840 seconds is equal to 4,391 years, 31 weeks, 2 days, 2 hours, 24 minutes.
• To count from 1 to 138,114,123,840 would take you about eight thousand, seven hundred eighty-three 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 138114123840 cubic inches would be around 430.8 feet tall.

Recreational maths with 138114123840

• 138114123840 backwards is 048321411831
• 138114123840 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138114123840's digits is 36
• More coming soon!