137968320
137,968,320 is an even composite number composed of five prime numbers multiplied together.
137968320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 137968320:
26 × 3 × 5 × 73 × 419
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 419)See below for interesting mathematical facts about the number 137968320 from the Numbermatics database.
Names of 137968320
- Cardinal: 137968320 can be written as One hundred thirty-seven million, nine hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3796832 × 108
Factors of 137968320
Divisors of 137968320
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 70 80 84 96 98 105 112 120 140 147 160 168 192 196 210 224 240 245 280 294 320 336 343 392 419 420 448 480 490 560 588 672 686 735 784 838 840 960 980 1029 1120 1176 1257 1344 1372 1470 1568 1676 1680 1715 1960 2058 2095 2240 2352 2514 2744 2933 2940 3136 3352 3360 3430 3920 4116 4190 4704 5028 5145 5488 5866 5880 6285 6704 6720 6860 7840 8232 8380 8799 9408 10056 10290 10976 11732 11760 12570 13408 13720 14665 15680 16464 16760 17598 20112 20531 20580 21952 23464 23520 25140 26816 27440 29330 32928 33520 35196 40224 41062 41160 43995 46928 47040 50280 54880 58660 61593 65856 67040 70392 80448 82124 82320 87990 93856 100560 102655 109760 117320 123186 134080 140784 143717 164248 164640 175980 187712 201120 205310 234640 246372 281568 287434 307965 328496 329280 351960 402240 410620 431151 469280 492744 563136 574868 615930 656992 703920 718585 821240 862302 938560 985488 1149736 1231860 1313984 1407840 1437170 1642480 1724604 1970976 2155755 2299472 2463720 2815680 2874340 3284960 3449208 3941952 4311510 4598944 4927440 5748680 6569920 6898416 8623020 9197888 9854880 11497360 13796832 17246040 19709760 22994720 27593664 34492080 45989440 68984160 137968320
- Sum of all divisors σ(n): 512064000
- Sum of proper divisors (its aliquot sum) s(n): 374095680
- 137968320 is an abundant number, because the sum of its proper divisors (374095680) is greater than itself. Its abundance is 236127360
Bases of 137968320
- Binary: 10000011100100111010110000002
- Hexadecimal: 0x8393AC0
- Base-36: 2A551C
Squares and roots of 137968320
- 137968320 squared (1379683202) is 19035257323622400
- 137968320 cubed (1379683203) is 2626262473707878842368000
-
The
square root of 137968320 is 11745.9916567313 -
The
cube root of 137968320 is 516.7253784593
Scales and comparisons
How big is 137968320?- 137,968,320 seconds is equal to 4 years, 20 weeks, 20 hours, 32 minutes.
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To count from 1 to 137,968,320 would take you about 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 137968320 cubic inches would be around 43.1 feet tall.
Recreational maths with 137968320
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