138123105120

Names of 138123105120

• Cardinal: 138123105120 can be written as One hundred thirty-eight billion, one hundred twenty-three million, one hundred five thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3812310512 × 10¹¹

Factors of 138123105120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 41

Divisors of 138123105120

• Number of divisors d(n): 2016
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 26 27 28 30 32 33 35 36 39 40 42 44 45 48 49 52 54 55 56 60 63 65 66 70 72 77 78 80 81 84 88 90 91 96 98 99 104 105 108 110 112 117 120 126 130 132 135 140 143 144 147 154 156 160 162 165 168 169 176 180 182 189 195 196 198 208 210 216 220 224 231 234 240 243 245 252 260 264 270 273 280 286 288 294 297 308 312 315 324 330 336 338 351 352 360 364 378 385 390 392 396 405 416 420 429 432 440 441 455 462 468 480 486 490 495 504 507 520 528 539 540 546 560 567 572 585 588 594 616 624 630 637 648 660 672 676 693 702 715 720 728 729 735 756 770 780 784 792 810 819 840 845 858 864 880 882 891 910 924 936 945 972 980 990 1001 1008 1014 1040 1053 1056 1078 1080 1092 1120 1134 1144 1155 1170 1176 1183 1188 1215 1232 1248 1260 1274 1287 1296 1320 1323 1352 1365 1386 1404 1430 1440 1456 1458 1470 1485 1512 1521 1540 1560 1568 1584 1617 1620 1638 1680 1690 1701 1716 1755 1760 1764 1782 1820 1848 1859 1872 1890 1911 1944 1960 1980 2002 2016 2028 2079 2080 2106 2145 2156 2160 2184 2197 2205 2268 2288 2310 2340 2352 2366 2376 2430 2457 2464 2520 2535 2548 2574 2592 2640 2646 2673 2695 2704 2730 2772 2808 2835 2860 2912 2916 2940 2970 3003 3024 3042 3080 3120 3159 3168 3185 3234 3240 3276 3360 3380 3402 3432 3465 3510 3528 3549 3564 3640 3645 3696 3718 3744 3780 3822 3861 3888 3920 3960 3969 4004 4056 4095 4158 4212 4290 4312 4320 4368 4394 4410 4455 4536 4563 4576 4620 4680 4704 4732 4752 4851 4860 4914 5005 5040 5070 5096 5103 5148 5265 5280 5292 5346 5390 5408 5460 5544 5577 5616 5670 5720 5733 5832 5880 5915 5940 6006 6048 6084 6160 6237 6240 6318 6370 6435 6468 6480 6552 6591 6615 6760 6804 6864 6930 7007 7020 7056 7098 7128 7280 7290 7371 7392 7436 7560 7605 7644 7722 7776 7840 7920 7938 8008 8019 8085 8112 8190 8281 8316 8424 8505 8580 8624 8736 8788 8820 8910 9009 9072 9126 9240 9295 9360 9464 9477 9504 9555 9702 9720 9828 10010 10080 10140 10192 10206 10296 10395 10530 10584 10647 10692 10780 10920 10985 11088 11154 11232 11340 11440 11466 11583 11664 11760 11830 11880 11907 12012 12168 12285 12320 12474 12636 12740 12870 12936 12960 13013 13104 13182 13230 13365 13520 13608 13689 13728 13860 14014 14040 14112 14196 14256 14553 14560 14580 14742 14872 15015 15120 15210 15288 15379 15444 15795 15840 15876 16016 16038 16170 16224 16380 16562 16632 16731 16848 17010 17160 17199 17248 17576 17640 17745 17820 18018 18144 18252 18480 18590 18711 18720 18928 18954 19110 19305 19404 19440 19656 19773 19845 20020 20280 20384 20412 20592 20790 21021 21060 21168 21294 21384 21560 21840 21970 22113 22176 22308 22680 22815 22880 22932 23166 23328 23520 23660 23760 23814 24024 24167 24255 24336 24570 24843 24948 25272 25480 25515 25740 25872 26026 26208 26364 26460 26730 27027 27040 27216 27378 27720 27885 28028 28080 28392 28512 28665 29106 29160 29484 29744 30030 30240 30420 30576 30758 30888 31185 31590 31752 31941 32032 32076 32340 32760 32955 33124 33264 33462 33696 34020 34320 34398 34749 35035 35152 35280 35490 35640 35721 36036 36504 36855 36960 37180 37422 37856 37908 38220 38610 38808 38880 39039 39312 39546 39690 40040 40095 40560 40824 41067 41184 41405 41580 42042 42120 42336 42588 42768 43120 43659 43680 43940 44226 44616 45045 45360 45630 45864 46137 46332 47320 47385 47520 47628 48048 48334 48510 48672 49140 49686 49896 50193 50544 50960 51030 51480 51597 51744 52052 52728 52920 53235 53460 54054 54432 54756 55440 55770 56056 56133 56160 56784 57330 57915 58212 58320 58968 59319 59488 59535 60060 60840 61152 61516 61776 62370 63063 63180 63504 63882 64152 64680 65065 65520 65910 66248 66339 66528 66924 68040 68445 68640 68796 69498 70070 70304 70560 70980 71280 71442 72072 72501 72765 73008 73710 74360 74529 74844 75816 76440 76895 77220 77616 78078 78624 79092 79380 80080 80190 81081 81120 81648 82134 82810 83160 83655 84084 84240 85176 85536 85995 86240 87318 87880 88452 89232 90090 90720 91091 91260 91728 92274 92664 93555 94640 94770 95256 95823 96096 96668 97020 98280 98865 99372 99792 100386 101088 101920 102060 102960 103194 104104 104247 105105 105456 105840 106470 106920 107653 108108 109512 110565 110880 111540 112112 112266 113568 114660 115830 116424 116640 117117 117936 118638 119070 120120 120835 121680 123032 123201 123552 124215 124740 126126 126360 127008 127764 128304 129360 130130 130977 131040 131820 132496 132678 133848 135135 136080 136890 137592 138411 138996 140140 141960 142560 142884 144144 145002 145530 146016 147420 148720 149058 149688 150579 151632 152880 153790 154440 154791 155232 156156 158184 158760 159705 160160 160380 162162 163296 164268 165620 166320 167310 168168 168480 169169 170352 171990 173745 174636 175760 176904 177957 178464 178605 180180 182182 182520 183456 184548 185328 187110 189189 189280 189540 190512 191646 193336 194040 195195 196560 197730 198744 199584 200772 204120 205335 205920 206388 208208 208494 210210 210912 211680 212940 213840 215306 216216 217503 218295 219024 221130 223080 223587 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12812904 12918360 12972960 13050180 13117104 13287456 13415220 13533520 13552110 13621608 13702689 13798512 14054040 14210196 14236560 14455584 14533155 14574560 14594580 14756742 14859936 14948388 15135120 15225210 15331680 15502032 15660216 15717240 15810795 16016130 16098264 16240224 16396380 16609320 16679520 16864848 17027010 17083872 17224480 17248140 17400240 17439786 17617743 17762745 17886960 18069480 18162144 18270252 18574920 18685485 18738720 18946928 18972954 19377540 19459440 19575270 19675656 19712160 19931184 20122830 20300280 20432412 20880288 20956320 21081060 21315294 21354840 21464352 21683376 21861840 22135113 22145760 22422582 22702680 22837815 22997520 23253048 23351328 23490324 23683660 24092640 24147396 24360336 24594570 24766560 24913980 25297272 25540515 25625808 25836720 26100360 26159679 26234208 26830440 27067040 27104220 27243216 27405378 27597024 28108080 28420392 28473120 29066310 29189160 29362905 29513484 29896776 30184245 30270240 30450420 31004064 31320432 31434480 31621590 31972941 32032260 32196528 32792760 33218640 33729696 34054020 34496280 34800480 34879572 35235486 35525490 35773920 36138960 36540504 36891855 37149840 37370970 37893856 37945908 38755080 38918880 39150540 39351312 39862368 40245660 40600560 40864824 41108067 42162120 42630588 42709680 43366752 43599465 43723680 44270226 44845164 45405360 45675630 45995040 46506096 46980648 47367320 47432385 48294792 48720672 49189140 49827960 50594544 51081030 51251616 51673440 52200720 52319358 53288235 53660880 54208440 54486432 54810756 56056455 56216160 56840784 58132620 58378320 58725810 59026968 59793552 60368490 60900840 62640864 62868960 63243180 63945882 64064520 64393056 65585520 66405339 66437280 68108040 68513445 68992560 69759144 70470972 71050980 72277920 73081008 73783710 74299680 74741940 75891816 77510160 78301080 78479037 78702624 80491320 81201120 81729648 82216134 84324240 85261176 85419360 87198930 88088715 88540452 89690328 90810720 91351260 93012192 93961296 94734640 94864770 95918823 96589584 98378280 99655920 101189088 102162060 104401440 104638716 106576470 107321760 108416880 109621512 110675565 112112910 113681568 116265240 116756640 117451620 118053936 119587104 120736980 121801680 123324201 126486360 127891764 128129040 130798395 131171040 132810678 136216080 137026890 137985120 139518288 140941944 142101960 146162016 147567420 149483880 151783632 155020320 156602160 156958074 159864705 160982640 163459296 164432268 168648480 170522352 174397860 176177430 177080904 179380656 182702520 187922592 189469280 189729540 191837646 193179168 196756560 199311840 204324120 205540335 209277432 213152940 216833760 219243024 221351130 224225820 232530480 234903240 236107872 241473960 243603360 246648402 252972720 255783528 256258080 261596790 265621356 272432160 274053780 279036576 281883888 284203920 287756469 295134840 298967760 303567264 313204320 313916148 319729410 321965280 328864536 332026695 341044704 348795720 352354860 354161808 358761312 365405040 379459080 383675292 392395185 393513120 408648240 411080670 418554864 426305880 438486048 442702260 448451640 465060960 469806480 479594115 482947920 493296804 505945440 511567056 523193580 531242712 548107560 563767776 568407840 575512938 590269680 597935520 616621005 627832296 639458820 657729072 664053390 697591440 704709720 708323616 730810080 758918160 767350584 784790370 817296480 822161340 837109728 852611760 863269407 885404520 896903280 939612960 959188230 965895840 986593608 1023134112 1046387160 1062485424 1096215120 1151025876 1180539360 1233242010 1255664592 1278917640 1315458144 1328106780 1395182880 1409419440 1438782345 1517836320 1534701168 1569580740 1644322680 1705223520 1726538814 1770809040 1793806560 1918376460 1973187216 2092774320 2124970848 2192430240 2302051752 2466484020 2511329184 2557835280 2656213560 2818838880 2877564690 3069402336 3139161480 3288645360 3453077628 3541618080 3836752920 3946374432 4185548640 4316347035 4604103504 4932968040 5115670560 5312427120 5755129380 6278322960 6577290720 6906155256 7673505840 8632694070 9208207008 9865936080 10624854240 11510258760 12556645920 13812310512 15347011680 17265388140 19731872160 23020517520 27624621024 34530776280 46041035040 69061552560 138123105120
• Sum of all divisors σ(n): 672581659680
• Sum of proper divisors (its aliquot sum) s(n): 534458554560
• 138123105120 is an abundant number, because the sum of its proper divisors (534458554560) is greater than itself. Its abundance is 396335449440

Bases of 138123105120

• Binary: 10000000101000110001110101001101100000₂
• Hexadecimal: 0x2028C75360
• Base-36: 1RGAXI00

Squares and roots of 138123105120

• 138123105120 squared (138123105120²) is 19077992167990570214400
• 138123105120 cubed (138123105120³) is 2635111517697898228892312137728000
• The square root of 138123105120 is 371649.1694057717
• The cube root of 138123105120 is 5169.1854238811

Scales and comparisons

• 138,123,105,120 seconds is equal to 4,391 years, 46 weeks, 1 day, 1 hour, 12 minutes.
• To count from 1 to 138,123,105,120 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 138123105120 cubic inches would be around 430.8 feet tall.

Recreational maths with 138123105120

• 138123105120 backwards is 021501321831
• 138123105120 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138123105120's digits is 27
• More coming soon!