137135700
137,135,700 is an even composite number composed of five prime numbers multiplied together.
137135700 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 137135700:
22 × 33 × 52 × 13 × 3907
(2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 3907)See below for interesting mathematical facts about the number 137135700 from the Numbermatics database.
Names of 137135700
- Cardinal: 137135700 can be written as One hundred thirty-seven million, one hundred thirty-five thousand, seven hundred.
Scientific notation
- Scientific notation: 1.371357 × 108
Factors of 137135700
Divisors of 137135700
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 90 100 108 117 130 135 150 156 180 195 225 234 260 270 300 325 351 390 450 468 540 585 650 675 702 780 900 975 1170 1300 1350 1404 1755 1950 2340 2700 2925 3510 3900 3907 5850 7020 7814 8775 11700 11721 15628 17550 19535 23442 35100 35163 39070 46884 50791 58605 70326 78140 97675 101582 105489 117210 140652 152373 175815 195350 203164 210978 234420 253955 293025 304746 351630 390700 421956 457119 507910 527445 586050 609492 703260 761865 879075 914238 1015820 1054890 1172100 1269775 1371357 1523730 1758150 1828476 2109780 2285595 2539550 2637225 2742714 3047460 3516300 3809325 4571190 5079100 5274450 5485428 6856785 7618650 9142380 10548900 11427975 13713570 15237300 22855950 27427140 34283925 45711900 68567850 137135700
- Sum of all divisors σ(n): 474900160
- Sum of proper divisors (its aliquot sum) s(n): 337764460
- 137135700 is an abundant number, because the sum of its proper divisors (337764460) is greater than itself. Its abundance is 200628760
Bases of 137135700
- Binary: 10000010110010000110010101002
- Hexadecimal: 0x82C8654
- Base-36: 29NAL0
Squares and roots of 137135700
- 137135700 squared (1371357002) is 18806200214490000
- 137135700 cubed (1371357003) is 2579001430754236293000000
-
The
square root of 137135700 is 11710.4952926851 -
The
cube root of 137135700 is 515.6838246939
Scales and comparisons
How big is 137135700?- 137,135,700 seconds is equal to 4 years, 18 weeks, 5 days, 5 hours, 15 minutes.
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To count from 1 to 137,135,700 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 137135700 cubic inches would be around 43 feet tall.
Recreational maths with 137135700
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