137982976000000
137,982,976,000,000 is an even composite number composed of four prime numbers multiplied together.
137982976000000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred fourteen divisors.
Prime factorization of 137982976000000:
216 × 56 × 472 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 5 × 47 × 47 × 61)See below for interesting mathematical facts about the number 137982976000000 from the Numbermatics database.
Names of 137982976000000
- Cardinal: 137982976000000 can be written as One hundred thirty-seven trillion, nine hundred eighty-two billion, nine hundred seventy-six million.
Scientific notation
- Scientific notation: 1.37982976 × 1014
Factors of 137982976000000
Divisors of 137982976000000
- Number of divisors d(n): 714
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 47 50 61 64 80 94 100 122 125 128 160 188 200 235 244 250 256 305 320 376 400 470 488 500 512 610 625 640 752 800 940 976 1000 1024 1175 1220 1250 1280 1504 1525 1600 1880 1952 2000 2048 2209 2350 2440 2500 2560 2867 3008 3050 3125 3200 3760 3904 4000 4096 4418 4700 4880 5000 5120 5734 5875 6016 6100 6250 6400 7520 7625 7808 8000 8192 8836 9400 9760 10000 10240 11045 11468 11750 12032 12200 12500 12800 14335 15040 15250 15616 15625 16000 16384 17672 18800 19520 20000 20480 22090 22936 23500 24064 24400 25000 25600 28670 29375 30080 30500 31232 31250 32000 32768 35344 37600 38125 39040 40000 40960 44180 45872 47000 48128 48800 50000 51200 55225 57340 58750 60160 61000 62464 62500 64000 65536 70688 71675 75200 76250 78080 80000 81920 88360 91744 94000 96256 97600 100000 102400 110450 114680 117500 120320 122000 124928 125000 128000 134749 141376 143350 146875 150400 152500 156160 160000 163840 176720 183488 188000 190625 192512 195200 200000 204800 220900 229360 235000 240640 244000 249856 250000 256000 269498 276125 282752 286700 293750 300800 305000 312320 320000 327680 353440 358375 366976 376000 381250 385024 390400 400000 409600 441800 458720 470000 481280 488000 499712 500000 512000 538996 552250 565504 573400 587500 601600 610000 624640 640000 673745 706880 716750 733952 734375 752000 762500 770048 780800 800000 819200 883600 917440 940000 953125 962560 976000 999424 1000000 1024000 1077992 1104500 1131008 1146800 1175000 1203200 1220000 1249280 1280000 1347490 1380625 1413760 1433500 1467904 1468750 1504000 1525000 1540096 1561600 1600000 1638400 1767200 1791875 1834880 1880000 1906250 1925120 1952000 1998848 2000000 2048000 2155984 2209000 2262016 2293600 2350000 2406400 2440000 2498560 2560000 2694980 2761250 2827520 2867000 2935808 2937500 3008000 3050000 3080192 3123200 3200000 3368725 3534400 3583750 3669760 3760000 3812500 3850240 3904000 3997696 4000000 4096000 4311968 4418000 4524032 4587200 4700000 4812800 4880000 4997120 5120000 5389960 5522500 5655040 5734000 5871616 5875000 6016000 6100000 6246400 6400000 6737450 6903125 7068800 7167500 7339520 7520000 7625000 7700480 7808000 8000000 8192000 8623936 8836000 8959375 9048064 9174400 9400000 9625600 9760000 9994240 10240000 10779920 11045000 11310080 11468000 11743232 11750000 12032000 12200000 12492800 12800000 13474900 13806250 14137600 14335000 14679040 15040000 15250000 15400960 15616000 16000000 16843625 17247872 17672000 17918750 18096128 18348800 18800000 19251200 19520000 19988480 20480000 21559840 22090000 22620160 22936000 23486464 23500000 24064000 24400000 24985600 25600000 26949800 27612500 28275200 28670000 29358080 30080000 30500000 31232000 32000000 33687250 34495744 34515625 35344000 35837500 36192256 36697600 37600000 38502400 39040000 40960000 43119680 44180000 44796875 45240320 45872000 46972928 47000000 48128000 48800000 49971200 51200000 53899600 55225000 56550400 57340000 58716160 60160000 61000000 62464000 64000000 67374500 68991488 69031250 70688000 71675000 72384512 73395200 75200000 77004800 78080000 84218125 86239360 88360000 89593750 90480640 91744000 93945856 94000000 96256000 97600000 99942400 102400000 107799200 110450000 113100800 114680000 117432320 120320000 122000000 124928000 128000000 134749000 137982976 138062500 141376000 143350000 144769024 146790400 150400000 156160000 168436250 172478720 176720000 179187500 180961280 183488000 187891712 188000000 192512000 195200000 204800000 215598400 220900000 226201600 229360000 234864640 240640000 244000000 249856000 256000000 269498000 275965952 276125000 282752000 286700000 293580800 300800000 312320000 336872500 344957440 353440000 358375000 361922560 366976000 376000000 385024000 390400000 421090625 431196800 441800000 452403200 458720000 469729280 481280000 488000000 499712000 512000000 538996000 551931904 552250000 565504000 573400000 587161600 601600000 624640000 673745000 689914880 706880000 716750000 723845120 733952000 752000000 780800000 842181250 862393600 883600000 904806400 917440000 939458560 962560000 976000000 1024000000 1077992000 1103863808 1104500000 1131008000 1146800000 1174323200 1203200000 1249280000 1347490000 1379829760 1413760000 1433500000 1467904000 1504000000 1561600000 1684362500 1724787200 1767200000 1809612800 1834880000 1925120000 1952000000 2105453125 2155984000 2207727616 2209000000 2262016000 2293600000 2348646400 2406400000 2498560000 2694980000 2759659520 2827520000 2867000000 2935808000 3008000000 3123200000 3368725000 3449574400 3534400000 3619225600 3669760000 3904000000 4210906250 4311968000 4415455232 4418000000 4524032000 4587200000 4697292800 4812800000 5389960000 5519319040 5655040000 5734000000 5871616000 6016000000 6246400000 6737450000 6899148800 7068800000 7339520000 7808000000 8421812500 8623936000 8830910464 8836000000 9048064000 9174400000 9625600000 10779920000 11038638080 11310080000 11468000000 11743232000 12032000000 12492800000 13474900000 13798297600 14137600000 14679040000 15616000000 16843625000 17247872000 17672000000 18096128000 18348800000 21559840000 22077276160 22620160000 22936000000 23486464000 24064000000 26949800000 27596595200 28275200000 29358080000 31232000000 33687250000 34495744000 35344000000 36697600000 43119680000 44154552320 45240320000 45872000000 48128000000 53899600000 55193190400 56550400000 58716160000 62464000000 67374500000 68991488000 70688000000 73395200000 86239360000 90480640000 91744000000 107799200000 110386380800 113100800000 117432320000 134749000000 137982976000 141376000000 146790400000 172478720000 183488000000 215598400000 220772761600 226201600000 269498000000 275965952000 282752000000 293580800000 344957440000 366976000000 431196800000 452403200000 538996000000 551931904000 565504000000 587161600000 689914880000 733952000000 862393600000 1077992000000 1103863808000 1131008000000 1379829760000 1467904000000 1724787200000 2155984000000 2262016000000 2759659520000 2935808000000 3449574400000 4311968000000 5519319040000 6899148800000 8623936000000 13798297600000 17247872000000 27596595200000 34495744000000 68991488000000 137982976000000
- Sum of all divisors σ(n): 358223721591734
- Sum of proper divisors (its aliquot sum) s(n): 220240745591734
- 137982976000000 is an abundant number, because the sum of its proper divisors (220240745591734) is greater than itself. Its abundance is 82257769591734
Bases of 137982976000000
- Binary: 111110101111110101010100100010100000000000000002
- Hexadecimal: 0x7D7EAA450000
- Base-36: 1CWSI5AN0G
Squares and roots of 137982976000000
- 137982976000000 squared (1379829760000002) is 19039301665816576000000000000
- 137982976000000 cubed (1379829760000003) is 2627099504811128626610176000000000000000000
-
The
square root of 137982976000000 is 11746615.5125636081 -
The
cube root of 137982976000000 is 51674.3674589337
Scales and comparisons
How big is 137982976000000?- 137,982,976,000,000 seconds is equal to 4,387,431 years, 43 weeks, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 137,982,976,000,000 would take you about ten million, nine hundred sixty-eight thousand, five hundred seventy-nine 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 137982976000000 cubic inches would be around 4306.2 feet tall.
Recreational maths with 137982976000000
- 137982976000000 backwards is 000000679289731
- The number of decimal digits it has is: 15
- The sum of 137982976000000's digits is 52
- More coming soon!
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