137039988800
137,039,988,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 137039988800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 504 divisors.
137039988800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 137039988800:
26 × 52 × 11 × 13 × 31 × 1392
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 31 × 139 × 139)See below for interesting mathematical facts about the number 137039988800 from the Numbermatics database.
Names of 137039988800
- Cardinal: 137039988800 can be written as One hundred thirty-seven billion, thirty-nine million, nine hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.370399888 × 1011
Factors of 137039988800
Divisors of 137039988800
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 31 32 40 44 50 52 55 62 64 65 80 88 100 104 110 124 130 139 143 155 160 176 200 208 220 248 260 275 278 286 310 320 325 341 352 400 403 416 440 496 520 550 556 572 620 650 682 695 704 715 775 800 806 832 880 992 1040 1100 1112 1144 1240 1300 1364 1390 1430 1529 1550 1600 1612 1705 1760 1807 1984 2015 2080 2200 2224 2288 2480 2600 2728 2780 2860 3058 3100 3224 3410 3475 3520 3575 3614 4030 4160 4309 4400 4433 4448 4576 4960 5200 5456 5560 5720 6116 6200 6448 6820 6950 7150 7228 7645 8060 8525 8618 8800 8866 8896 9035 9152 9920 10075 10400 10912 11120 11440 12232 12400 12896 13640 13900 14300 14456 15290 16120 17050 17236 17600 17732 18070 19321 19877 20150 20800 21545 21824 22165 22240 22880 24464 24800 25792 27280 27800 28600 28912 30580 32240 34100 34472 35464 36140 38225 38642 39754 40300 43090 44330 44480 45175 45760 47399 48928 49600 54560 55600 56017 57200 57824 61160 64480 68200 68944 70928 72280 76450 77284 79508 80600 86180 88660 90350 94798 96605 97856 99385 107725 109120 110825 111200 112034 114400 115648 122320 128960 136400 137888 141856 144560 152900 154568 159016 161200 172360 177320 180700 189596 193210 198770 212531 215450 221650 222400 224068 228800 236995 244640 251173 272800 275776 280085 283712 289120 305800 309136 318032 322400 344720 354640 361400 379192 386420 397540 425062 430900 443300 448136 473990 483025 489280 496925 502346 545600 560170 578240 598951 611600 616187 618272 636064 644800 689440 709280 722800 758384 772840 795080 850124 861800 886600 896272 947980 966050 993850 1004692 1062655 1120340 1184975 1197902 1223200 1232374 1236544 1255865 1272128 1378880 1400425 1418560 1445600 1516768 1545680 1590160 1700248 1723600 1773200 1792544 1895960 1932100 1987700 2009384 2125310 2240680 2369950 2395804 2446400 2464748 2511730 2762903 2800850 2891200 2994755 3033536 3080935 3091360 3180320 3400496 3447200 3546400 3585088 3791920 3864200 3975400 4018768 4250620 4481360 4739900 4791608 4929496 5023460 5313275 5525806 5601700 5989510 6161870 6182720 6279325 6360640 6588461 6800992 6894400 7092800 7583840 7728400 7786363 7950800 8037536 8501240 8962720 9479800 9583216 9858992 10046920 10626550 11051612 11203400 11979020 12323740 12558650 13176922 13601984 13814515 14973775 15167680 15404675 15456800 15572726 15901600 16075072 17002480 17925440 18959600 19166432 19717984 20093840 21253100 22103224 22406800 23958040 24647480 25117300 26353844 27629030 29947550 30809350 30913600 31145452 31803200 32942305 34004960 37919200 38332864 38931815 39435968 40187680 42506200 44206448 44813600 47916080 49294960 50234600 52707688 55258060 59895100 61618700 62290904 65884610 68009920 69072575 75838400 77863630 80375360 85012400 85649993 88412896 89627200 95832160 98589920 100469200 105415376 110516120 119790200 123237400 124581808 131769220 138145150 155727260 164711525 170024800 171299986 176825792 191664320 194659075 197179840 200938400 210830752 221032240 239580400 246474800 249163616 263538440 276290300 311454520 329423050 340049600 342599972 389318150 401876800 421661504 428249965 442064480 479160800 492949600 498327232 527076880 552580600 622909040 658846100 685199944 778636300 856499930 884128960 958321600 985899200 1054153760 1105161200 1245818080 1317692200 1370399888 1557272600 1712999860 2108307520 2141249825 2210322400 2491636160 2635384400 2740799776 3114545200 3425999720 4282499650 4420644800 5270768800 5481599552 6229090400 6851999440 8564999300 10541537600 12458180800 13703998880 17129998600 27407997760 34259997200 68519994400 137039988800
- Sum of all divisors σ(n): 411898136832
- Sum of proper divisors (its aliquot sum) s(n): 274858148032
- 137039988800 is an abundant number, because the sum of its proper divisors (274858148032) is greater than itself. Its abundance is 137818159232
Bases of 137039988800
- Binary: 11111111010000011100001001000010000002
- Hexadecimal: 0x1FE8384840
- Base-36: 1QYE2K3K
Squares and roots of 137039988800
- 137039988800 squared (1370399888002) is 18779958530304125440000
- 137039988800 cubed (1370399888003) is 2573605306657341810891395072000000
-
The
square root of 137039988800 is 370189.1257181929 -
The
cube root of 137039988800 is 5155.6382626721
Scales and comparisons
How big is 137039988800?- 137,039,988,800 seconds is equal to 4,357 years, 23 weeks, 1 day, 23 hours, 33 minutes, 20 seconds.
-
To count from 1 to 137,039,988,800 would take you about eight thousand, seven hundred fourteen 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 137039988800 cubic inches would be around 429.6 feet tall.
Recreational maths with 137039988800
- 137039988800 backwards is 008889930731
- The number of decimal digits it has is: 12
- The sum of 137039988800's digits is 56
- More coming soon!
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