137890432152000
137,890,432,152,000 is an even composite number composed of eight prime numbers multiplied together.
137890432152000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 137890432152000:
26 × 32 × 53 × 11 × 29 × 41 × 181 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 29 × 41 × 181 × 809)See below for interesting mathematical facts about the number 137890432152000 from the Numbermatics database.
Names of 137890432152000
- Cardinal: 137890432152000 can be written as One hundred thirty-seven trillion, eight hundred ninety billion, four hundred thirty-two million, one hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.37890432152 × 1014
Factors of 137890432152000
Divisors of 137890432152000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 29 30 32 33 36 40 41 44 45 48 50 55 58 60 64 66 72 75 80 82 87 88 90 96 99 100 110 116 120 123 125 132 144 145 150 160 164 165 174 176 180 181 192 198 200 205 220 225 232 240 246 250 261 264 275 288 290 300 319 320 328 330 348 352 360 362 369 375 396 400 410 435 440 450 451 464 480 492 495 500 522 528 543 550 576 580 600 615 638 656 660 696 704 720 724 725 738 750 792 800 809 820 825 870 880 900 902 905 928 957 960 984 990 1000 1025 1044 1056 1086 1100 1125 1160 1189 1200 1230 1276 1305 1312 1320 1353 1375 1392 1440 1448 1450 1476 1500 1584 1595 1600 1618 1629 1640 1650 1740 1760 1800 1804 1810 1845 1856 1914 1968 1980 1991 2000 2050 2088 2112 2172 2175 2200 2250 2255 2320 2378 2400 2427 2460 2475 2552 2610 2624 2640 2706 2715 2750 2784 2871 2880 2896 2900 2952 3000 3075 3168 3190 3236 3258 3280 3300 3480 3520 3567 3600 3608 3620 3625 3690 3828 3936 3960 3982 4000 4045 4059 4100 4125 4176 4344 4350 4400 4500 4510 4525 4640 4756 4785 4800 4854 4920 4950 5104 5125 5220 5249 5280 5412 5430 5500 5568 5742 5792 5800 5904 5945 5973 6000 6150 6336 6380 6472 6516 6525 6560 6600 6765 6960 7134 7200 7216 7240 7250 7281 7380 7421 7656 7872 7920 7964 7975 8000 8090 8118 8145 8200 8250 8352 8688 8700 8800 8899 9000 9020 9050 9225 9280 9512 9570 9708 9840 9900 9955 10208 10250 10440 10498 10560 10701 10824 10860 10875 11000 11275 11484 11584 11600 11808 11890 11946 12000 12135 12300 12375 12760 12944 13032 13050 13079 13120 13200 13530 13575 13920 14268 14355 14400 14432 14480 14500 14562 14760 14842 15312 15375 15747 15840 15928 15950 16180 16236 16290 16400 16500 16704 17376 17400 17600 17798 17835 17919 18000 18040 18100 18450 19024 19140 19416 19680 19800 19910 20225 20295 20416 20500 20880 20996 21402 21648 21720 21750 22000 22263 22550 22625 22968 23200 23461 23616 23780 23892 23925 24000 24270 24600 24750 25520 25888 26064 26100 26158 26245 26400 26697 27060 27150 27840 28536 28710 28864 28960 29000 29124 29520 29684 29725 29865 30624 30750 31494 31680 31856 31900 32360 32472 32580 32625 32800 33000 33169 33825 34752 34800 35596 35670 35838 36000 36080 36200 36405 36900 37105 38048 38280 38832 39237 39360 39600 39820 39875 40450 40590 40725 41000 41760 41992 42804 43296 43440 43500 44000 44495 44526 45100 45250 45936 46125 46400 46922 47241 47560 47784 47850 48540 49200 49500 49775 51040 51776 52128 52200 52316 52490 52800 53394 53505 54120 54300 56375 57072 57420 57739 57920 58000 58248 59040 59368 59450 59730 60675 61248 61500 62988 63712 63800 64720 64944 65160 65250 65395 65600 66000 66338 66789 67650 67875 69600 70383 71192 71340 71676 71775 72000 72160 72400 72810 73800 74210 76096 76560 77664 78474 78735 79200 79640 79750 80091 80900 81180 81450 81631 82000 83520 83984 85608 86592 86880 87000 88000 88990 89052 89175 89595 90200 90500 91872 92250 93844 94482 95120 95568 95700 97080 98400 99000 99507 99550 101125 101475 102080 104256 104400 104632 104980 106788 107010 108240 108600 111315 112750 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28407588000 28727173365 28817227200 28992942000 29717765550 30473023680 30574375200 30642318256 31338734580 31698949920 31742733000 33019739500 33427983552 33631812720 33971528000 34089105600 34472608038 34628436000 34820816200 35033138250 36021534000 37368680800 38038739904 38091279600 38217969000 38302897820 38657256000 39173418225 39623687400 41784979440 42039765900 42323644000 42611382000 43225840800 43526020250 44842416960 45963477384 46710851000 47548424880 47614099500 47878622275 48028712000 49529609250 50141975328 50788372800 50957292000 52231224300 52549707375 52831583200 54032301000 55713305920 56053021200 56815176000 57454346730 57985884000 59435531100 61148750400 61284636512 62677469160 63397899840 63485466000 65289030375 66039479000 67263625440 68945216076 69256872000 69641632400 70066276500 72043068000 74294413875 74737361600 76182559200 76435938000 76605795640 78346836450 79247374800 83569958880 84079531800 84647288000 85222764000 86181520095 86451681600 87052040500 91926954768 93421702000 95096849760 95228199000 95757244550 99059218500 100283950656 101914584000 104462448600 105099414750 105663166400 108064602000 112106042400 114908693460 115971768000 118871062200 122569273024 125354938320 126970932000 130578060750 132078958000 134527250880 137890432152 139283264800 140132553000 143635866825 144086136000 148588827750 152365118400 152871876000 153211591280 156693672900 158494749600 167139917760 168159063600 170445528000 172363040190 174104081000 183853909536 186843404000 190193699520 190456398000 191514489100 195867091125 198118437000 208924897200 210198829500 216129204000 224212084800 229817386920 237742124400 239393111375 250709876640 253941864000 261156121500 264157916000 275780864304 278566529600 280265106000 287271733650 297177655500 305743752000 306423182560 313387345800 316989499200 336318127200 344726080380 348208162000 367707819072 373686808000 380912796000 383028978200 391734182250 396236874000 417849794400 420397659000 430907600475 432258408000 459634773840 475484248800 478786222750 501419753280 522312243000 528315832000 551561728608 560530212000 574543467300 594355311000 612846365120 626774691600 672636254400 689452160760 696416324000 718179334125 761825592000 766057956400 783468364500 792473748000 835699588800 840795318000 861815200950 919269547680 950968497600 957572445500 1044624486000 1103123457216 1121060424000 1149086934600 1188710622000 1253549383200 1378904321520 1392832648000 1436358668250 1532115912800 1566936729000 1584947496000 1681590636000 1723630401900 1838539095360 1915144891000 2089248972000 2154538002375 2298173869200 2377421244000 2507098766400 2757808643040 2872717336500 3064231825600 3133873458000 3363181272000 3447260803800 3830289782000 4178497944000 4309076004750 4596347738400 4754842488000 5515617286080 5745434673000 6267746916000 6894521607600 7660579564000 8618152009500 9192695476800 11490869346000 12535493832000 13789043215200 15321159128000 17236304019000 22981738692000 27578086430400 34472608038000 45963477384000 68945216076000 137890432152000
- Sum of all divisors σ(n): 574089851462400
- Sum of proper divisors (its aliquot sum) s(n): 436199419310400
- 137890432152000 is an abundant number, because the sum of its proper divisors (436199419310400) is greater than itself. Its abundance is 298308987158400
Bases of 137890432152000
- Binary: 111110101101001000111100011100111110001110000002
- Hexadecimal: 0x7D691E39F1C0
- Base-36: 1CVLZN2SW0
Squares and roots of 137890432152000
- 137890432152000 squared (1378904321520002) is 19013771279065315351104000000
- 137890432152000 cubed (1378904321520003) is 2621817138509602124397890170295808000000000
-
The
square root of 137890432152000 is 11742675.6811214027 -
The
cube root of 137890432152000 is 51662.8123756967
Scales and comparisons
How big is 137890432152000?- 137,890,432,152,000 seconds is equal to 4,384,489 years, 11 weeks, 2 days, 20 hours.
-
To count from 1 to 137,890,432,152,000 would take you about ten million, nine hundred sixty-one thousand, two hundred twenty-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 137890432152000 cubic inches would be around 4305.2 feet tall.
Recreational maths with 137890432152000
- 137890432152000 backwards is 000251234098731
- 137890432152000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137890432152000's digits is 45
- More coming soon!
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"Number 137890432152000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 137890432152000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/137890432152000/
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The information we have on file for 137890432152000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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