137598968000
137,598,968,000 is an even composite number composed of six prime numbers multiplied together.
137598968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 137598968000:
26 × 53 × 13 × 29 × 43 × 1061
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 29 × 43 × 1061)See below for interesting mathematical facts about the number 137598968000 from the Numbermatics database.
Names of 137598968000
- Cardinal: 137598968000 can be written as One hundred thirty-seven billion, five hundred ninety-eight million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.37598968 × 1011
Factors of 137598968000
Divisors of 137598968000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 29 32 40 43 50 52 58 64 65 80 86 100 104 116 125 130 145 160 172 200 208 215 232 250 260 290 320 325 344 377 400 416 430 464 500 520 559 580 650 688 725 754 800 832 860 928 1000 1040 1061 1075 1118 1160 1247 1300 1376 1450 1508 1600 1625 1720 1856 1885 2000 2080 2122 2150 2236 2320 2494 2600 2752 2795 2900 3016 3250 3440 3625 3770 4000 4160 4244 4300 4472 4640 4988 5200 5305 5375 5590 5800 6032 6235 6500 6880 7250 7540 8000 8488 8600 8944 9280 9425 9976 10400 10610 10750 11180 11600 12064 12470 13000 13760 13793 13975 14500 15080 16211 16976 17200 17888 18850 19952 20800 21220 21500 22360 23200 24128 24940 26000 26525 27586 27950 29000 30160 30769 31175 32422 33952 34400 35776 37700 39904 42440 43000 44720 45623 46400 47125 49880 52000 53050 55172 55900 58000 60320 61538 62350 64844 67904 68800 68965 69875 75400 79808 81055 84880 86000 89440 91246 94250 99760 104000 106100 110344 111800 116000 120640 123076 124700 129688 132625 137930 139750 150800 153845 155875 162110 169760 172000 178880 182492 188500 199520 212200 220688 223600 228115 232000 246152 249400 259376 265250 275860 279500 301600 307690 311750 324220 339520 344000 344825 364984 377000 399040 399997 405275 424400 441376 447200 456230 492304 498800 518752 530500 551720 559000 593099 603200 615380 623500 648440 689650 729968 754000 769225 799994 810550 848800 882752 894400 912460 984608 997600 1037504 1061000 1103440 1118000 1140575 1186198 1230760 1247000 1296880 1323067 1379300 1459936 1508000 1538450 1599988 1621100 1697600 1724125 1824920 1969216 1995200 1999985 2026375 2122000 2206880 2236000 2281150 2372396 2461520 2494000 2593760 2646134 2758600 2919872 2965495 3016000 3076900 3199976 3242200 3448250 3649840 3846125 3999970 4052750 4244000 4413760 4472000 4562300 4744792 4923040 4988000 5187520 5292268 5517200 5702875 5930990 6153800 6399952 6484400 6615335 6896500 7299680 7692250 7999940 8105500 8488000 9124600 9489584 9846080 9976000 9999925 10584536 11034400 11405750 11861980 12307600 12799904 12968800 13230670 13793000 14599360 14827475 15384500 15999880 16211000 17199871 18249200 18979168 19999850 21169072 22068800 22811500 23723960 24615200 25599808 25937600 26461340 27586000 29654950 30769000 31999760 32422000 33076675 34399742 36498400 37958336 39999700 42338144 45623000 47447920 49230400 49999625 52922680 55172000 59309900 61538000 63999520 64844000 66153350 68799484 72996800 74137375 79999400 84676288 85999355 91246000 94895840 99999250 105845360 110344000 118619800 123076000 127999040 129688000 132306700 137598968 148274750 159998800 165383375 171998710 182492000 189791680 199998500 211690720 237239600 246152000 264613400 275197936 296549500 319997600 330766750 343997420 364984000 399997000 423381440 429996775 474479200 529226800 550395872 593099000 639995200 661533500 687994840 799994000 859993550 948958400 1058453600 1100791744 1186198000 1323067000 1375989680 1599988000 1719987100 2116907200 2149983875 2372396000 2646134000 2751979360 3199976000 3439974200 4299967750 4744792000 5292268000 5503958720 6879948400 8599935500 10584536000 13759896800 17199871000 27519793600 34399742000 68799484000 137598968000
- Sum of all divisors σ(n): 388825557120
- Sum of proper divisors (its aliquot sum) s(n): 251226589120
- 137598968000 is an abundant number, because the sum of its proper divisors (251226589120) is greater than itself. Its abundance is 113627621120
Bases of 137598968000
- Binary: 100000000010011000100110100000110000002
- Hexadecimal: 0x200989A0C0
- Base-36: 1R7MVF7K
Squares and roots of 137598968000
- 137598968000 squared (1375989680002) is 18933475994665024000000
- 137598968000 cubed (1375989680003) is 2605226757518680808095232000000000
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The
square root of 137598968000 is 370943.3487744457 -
The
cube root of 137598968000 is 5162.6386160351
Scales and comparisons
How big is 137598968000?- 137,598,968,000 seconds is equal to 4,375 years, 11 weeks, 3 days, 15 hours, 33 minutes, 20 seconds.
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To count from 1 to 137,598,968,000 would take you about eight thousand, seven hundred fifty 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 137598968000 cubic inches would be around 430.2 feet tall.
Recreational maths with 137598968000
- 137598968000 backwards is 000869895731
- The number of decimal digits it has is: 12
- The sum of 137598968000's digits is 56
- More coming soon!
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