137468100
137,468,100 is an even composite number composed of six prime numbers multiplied together.
137468100 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 137468100:
22 × 3 × 52 × 7 × 112 × 541
(2 × 2 × 3 × 5 × 5 × 7 × 11 × 11 × 541)See below for interesting mathematical facts about the number 137468100 from the Numbermatics database.
Names of 137468100
- Cardinal: 137468100 can be written as One hundred thirty-seven million, four hundred sixty-eight thousand, one hundred.
Scientific notation
- Scientific notation: 1.374681 × 108
Factors of 137468100
Divisors of 137468100
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 121 132 140 150 154 165 175 210 220 231 242 275 300 308 330 350 363 385 420 462 484 525 541 550 605 660 700 726 770 825 847 924 1050 1082 1100 1155 1210 1452 1540 1623 1650 1694 1815 1925 2100 2164 2310 2420 2541 2705 3025 3246 3300 3388 3630 3787 3850 4235 4620 5082 5410 5775 5951 6050 6492 7260 7574 7700 8115 8470 9075 10164 10820 11361 11550 11902 12100 12705 13525 15148 16230 16940 17853 18150 18935 21175 22722 23100 23804 25410 27050 29755 32460 35706 36300 37870 40575 41657 42350 45444 50820 54100 56805 59510 63525 65461 71412 75740 81150 83314 84700 89265 94675 113610 119020 124971 127050 130922 148775 162300 166628 178530 189350 196383 208285 227220 249942 254100 261844 284025 297550 327305 357060 378700 392766 416570 446325 458227 499884 568050 595100 624855 654610 785532 833140 892650 916454 981915 1041425 1136100 1249710 1309220 1374681 1636525 1785300 1832908 1963830 2082850 2291135 2499420 2749362 3124275 3273050 3927660 4165700 4582270 4909575 5498724 6248550 6546100 6873405 9164540 9819150 11455675 12497100 13746810 19638300 22911350 27493620 34367025 45822700 68734050 137468100
- Sum of all divisors σ(n): 500565184
- Sum of proper divisors (its aliquot sum) s(n): 363097084
- 137468100 is an abundant number, because the sum of its proper divisors (363097084) is greater than itself. Its abundance is 225628984
Bases of 137468100
- Binary: 10000011000110011000110001002
- Hexadecimal: 0x83198C4
- Base-36: 29UF2C
Squares and roots of 137468100
- 137468100 squared (1374681002) is 18897478517610000
- 137468100 cubed (1374681003) is 2597800466606663241000000
-
The
square root of 137468100 is 11724.6791000863 -
The
cube root of 137468100 is 516.1001398101
Scales and comparisons
How big is 137468100?- 137,468,100 seconds is equal to 4 years, 19 weeks, 2 days, 1 hour, 35 minutes.
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To count from 1 to 137,468,100 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 137468100 cubic inches would be around 43 feet tall.
Recreational maths with 137468100
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