137936035840000

Names of 137936035840000

• Cardinal: 137936035840000 can be written as One hundred thirty-seven trillion, nine hundred thirty-six billion, thirty-five million, eight hundred forty thousand.

Scientific notation

• Scientific notation: 1.3793603584 × 10¹⁴

Factors of 137936035840000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 447

Divisors of 137936035840000

• Number of divisors d(n): 510
• Complete list of divisors:
  1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 200 250 256 304 320 380 400 421 475 500 512 608 625 640 760 800 842 950 1000 1024 1216 1250 1280 1520 1600 1684 1900 2000 2048 2105 2375 2432 2500 2560 3040 3200 3368 3800 4000 4096 4210 4750 4864 5000 5120 6080 6400 6736 7600 7999 8000 8192 8420 9500 9728 10000 10240 10525 11875 12160 12800 13472 15200 15998 16000 16384 16840 19000 19456 20000 20480 21050 23750 24320 25600 26944 30400 31996 32000 32768 33680 38000 38912 39995 40000 40960 42100 47500 48640 51200 52625 53888 60800 63992 64000 65536 67360 76000 77824 79990 80000 81920 84200 95000 97280 102400 105250 107776 121600 127984 128000 134720 152000 155648 159980 160000 163840 168400 177241 190000 194560 199975 204800 210500 215552 243200 255968 256000 263125 269440 304000 311296 319960 320000 327680 336800 354482 380000 389120 399950 409600 421000 431104 486400 511936 512000 526250 538880 608000 622592 639920 640000 673600 708964 760000 778240 799900 819200 842000 862208 886205 972800 999875 1023872 1024000 1052500 1077760 1216000 1245184 1279840 1280000 1347200 1417928 1520000 1556480 1599800 1638400 1684000 1724416 1772410 1945600 1999750 2047744 2048000 2105000 2155520 2432000 2559680 2560000 2694400 2835856 3040000 3112960 3199600 3367579 3368000 3448832 3544820 3891200 3999500 4095488 4096000 4210000 4311040 4431025 4864000 4999375 5119360 5120000 5388800 5671712 6080000 6225920 6399200 6735158 6736000 6897664 7089640 7782400 7999000 8190976 8192000 8420000 8622080 8862050 9728000 9998750 10238720 10240000 10777600 11343424 12160000 12798400 13470316 13472000 13795328 14179280 15564800 15998000 16381952 16837895 16840000 17244160 17724100 19456000 19997500 20477440 20480000 21555200 22155125 22686848 24320000 25596800 26940632 26944000 27590656 28358560 31129600 31996000 32763904 33675790 33680000 34488320 35448200 38912000 39995000 40954880 40960000 43110400 44310250 45373696 48640000 51193600 53881264 53888000 56717120 63992000 65527808 67351580 67360000 68976640 70896400 77824000 79990000 81909760 84189475 86220800 88620500 90747392 97280000 102387200 107762528 107776000 110775625 113434240 127984000 131055616 134703160 134720000 137953280 141792800 155648000 159980000 163819520 168378950 172441600 177241000 181494784 194560000 204774400 215525056 215552000 221551250 226868480 255968000 262111232 269406320 269440000 283585600 319960000 327639040 336757900 344883200 354482000 362989568 389120000 409548800 420947375 431050112 431104000 443102500 453736960 511936000 524222464 538812640 538880000 567171200 639920000 655278080 673515800 689766400 708964000 725979136 778240000 819097600 841894750 862100224 862208000 886205000 907473920 1023872000 1077625280 1077760000 1134342400 1279840000 1310556160 1347031600 1417928000 1451958272 1638195200 1683789500 1724200448 1724416000 1772410000 1814947840 2047744000 2104736875 2155250560 2155520000 2268684800 2559680000 2621112320 2694063200 2835856000 2903916544 3276390400 3367579000 3448400896 3448832000 3544820000 3629895680 4095488000 4209473750 4310501120 4311040000 4537369600 5119360000 5388126400 5671712000 5807833088 6552780800 6735158000 6896801792 7089640000 7259791360 8190976000 8418947500 8621002240 8622080000 9074739200 10238720000 10776252800 11343424000 11615666176 13105561600 13470316000 13793603584 14179280000 14519582720 16381952000 16837895000 17242004480 17244160000 18149478400 20477440000 21552505600 22686848000 26940632000 27587207168 28358560000 29039165440 32763904000 33675790000 34484008960 36298956800 40954880000 43105011200 45373696000 53881264000 55174414336 56717120000 58078330880 65527808000 67351580000 68968017920 72597913600 81909760000 86210022400 90747392000 107762528000 110348828672 113434240000 134703160000 137936035840 145195827200 163819520000 172420044800 181494784000 215525056000 220697657344 226868480000 269406320000 275872071680 290391654400 327639040000 344840089600 362989568000 431050112000 453736960000 538812640000 551744143360 689680179200 725979136000 862100224000 907473920000 1077625280000 1103488286720 1379360358400 1451958272000 1724200448000 1814947840000 2155250560000 2758720716800 3448400896000 3629895680000 4310501120000 5517441433600 6896801792000 7259791360000 8621002240000 13793603584000 17242004480000 27587207168000 34484008960000 68968017920000 137936035840000
• Sum of all divisors σ(n): 363734615680260
• Sum of proper divisors (its aliquot sum) s(n): 225798579840260
• 137936035840000 is an abundant number, because the sum of its proper divisors (225798579840260) is greater than itself. Its abundance is 87862544000260

Bases of 137936035840000

• Binary: 11111010111001110111100011010110000000000000000₂
• Hexadecimal: 0x7D73BC6B0000
• Base-36: 1CW6XUC3R4

Squares and roots of 137936035840000

• 137936035840000 squared (137936035840000²) is 19026349983253764505600000000
• 137936035840000 cubed (137936035840000³) is 2624419293194474660659361480704000000000000
• The square root of 137936035840000 is 11744617.3134759909
• The cube root of 137936035840000 is 51668.5071268541

Scales and comparisons

• 137,936,035,840,000 seconds is equal to 4,385,939 years, 14 weeks, 2 days, 7 hours, 6 minutes, 40 seconds.
• To count from 1 to 137,936,035,840,000 would take you about ten million, nine hundred sixty-four thousand, eight hundred forty-eight 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 137936035840000 cubic inches would be around 4305.7 feet tall.

Recreational maths with 137936035840000

• 137936035840000 backwards is 000048530639731
• The number of decimal digits it has is: 15
• The sum of 137936035840000's digits is 49
• More coming soon!