137386400320
137,386,400,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 137386400320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
137386400320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 137386400320:
26 × 5 × 132 × 17 × 29 × 5153
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 17 × 29 × 5153)See below for interesting mathematical facts about the number 137386400320 from the Numbermatics database.
Names of 137386400320
- Cardinal: 137386400320 can be written as One hundred thirty-seven billion, three hundred eighty-six million, four hundred thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3738640032 × 1011
Factors of 137386400320
Divisors of 137386400320
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 26 29 32 34 40 52 58 64 65 68 80 85 104 116 130 136 145 160 169 170 208 221 232 260 272 290 320 338 340 377 416 442 464 493 520 544 580 676 680 754 832 845 884 928 986 1040 1088 1105 1160 1352 1360 1508 1690 1768 1856 1885 1972 2080 2210 2320 2465 2704 2720 2873 3016 3380 3536 3770 3944 4160 4420 4640 4901 4930 5153 5408 5440 5746 6032 6409 6760 7072 7540 7888 8840 9280 9802 9860 10306 10816 11492 12064 12818 13520 14144 14365 15080 15776 17680 19604 19720 20612 22984 24128 24505 25636 25765 27040 28730 30160 31552 32045 35360 39208 39440 41224 45968 49010 51272 51530 54080 57460 60320 64090 66989 70720 78416 78880 82448 83317 87601 91936 98020 102544 103060 114920 120640 128180 133978 149437 156832 157760 164896 166634 175202 183872 196040 205088 206120 229840 256360 267956 298874 313664 329792 333268 334945 350404 392080 410176 412240 416585 438005 459680 512720 535912 597748 666536 669890 700808 747185 784160 824480 833170 870857 876010 919360 1025440 1071824 1138813 1195496 1333072 1339780 1401616 1494370 1568320 1648960 1666340 1741714 1752020 1942681 2050880 2143648 2277626 2390992 2540429 2666144 2679560 2803232 2988740 3332680 3483428 3504040 3885362 4287296 4354285 4555252 4781984 5080858 5332288 5359120 5606464 5694065 5977480 6665360 6966856 7008080 7770724 8708570 9110504 9563968 9713405 10161716 10718240 11388130 11954960 12702145 13330720 13933712 14016160 14804569 15541448 17417140 18221008 19426810 20323432 21436480 22776260 23909920 25254853 25404290 26661440 27867424 28032320 29609138 31082896 33025577 34834280 36442016 38853620 40646864 45552520 47819840 50509706 50808580 55734848 59218276 62165792 66051154 69668560 72884032 74022845 77707240 81293728 91105040 101019412 101617160 118436552 124331584 126274265 132102308 139337120 148045690 155414480 162587456 165127885 182210080 202038824 203234320 236873104 252548530 264204616 278674240 296091380 310828960 330255770 364420160 404077648 406468640 429332501 473746208 505097060 528409232 592182760 621657920 660511540 808155296 812937280 858665002 947492416 1010194120 1056818464 1184365520 1321023080 1616310592 1717330004 2020388240 2113636928 2146662505 2368731040 2642046160 3434660008 4040776480 4293325010 4737462080 5284092320 6869320016 8081552960 8586650020 10568184640 13738640032 17173300040 27477280064 34346600080 68693200160 137386400320
- Sum of all divisors σ(n): 388100529360
- Sum of proper divisors (its aliquot sum) s(n): 250714129040
- 137386400320 is an abundant number, because the sum of its proper divisors (250714129040) is greater than itself. Its abundance is 113327728720
Bases of 137386400320
- Binary: 11111111111001101111000011010010000002
- Hexadecimal: 0x1FFCDE1A40
- Base-36: 1R44BCXS
Squares and roots of 137386400320
- 137386400320 squared (1373864003202) is 18875022992887296102400
- 137386400320 cubed (1373864003203) is 2593171464950018574966702112768000
-
The
square root of 137386400320 is 370656.7149263587 -
The
cube root of 137386400320 is 5159.9787712205
Scales and comparisons
How big is 137386400320?- 137,386,400,320 seconds is equal to 4,368 years, 24 weeks, 8 hours, 58 minutes, 40 seconds.
-
To count from 1 to 137,386,400,320 would take you about eight thousand, seven hundred thirty-six 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 137386400320 cubic inches would be around 430 feet tall.
Recreational maths with 137386400320
- 137386400320 backwards is 023004683731
- The number of decimal digits it has is: 12
- The sum of 137386400320's digits is 37
- More coming soon!
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