137231344640
137,231,344,640 is an even composite number composed of five prime numbers multiplied together.
What does the number 137231344640 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 264 divisors.
137231344640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 137231344640:
210 × 5 × 13 × 712 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 71 × 71 × 409)See below for interesting mathematical facts about the number 137231344640 from the Numbermatics database.
Names of 137231344640
- Cardinal: 137231344640 can be written as One hundred thirty-seven billion, two hundred thirty-one million, three hundred forty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3723134464 × 1011
Factors of 137231344640
Divisors of 137231344640
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 71 80 104 128 130 142 160 208 256 260 284 320 355 409 416 512 520 568 640 710 818 832 923 1024 1040 1136 1280 1420 1636 1664 1846 2045 2080 2272 2560 2840 3272 3328 3692 4090 4160 4544 4615 5041 5120 5317 5680 6544 6656 7384 8180 8320 9088 9230 10082 10634 11360 13088 13312 14768 16360 16640 18176 18460 20164 21268 22720 25205 26176 26585 29039 29536 32720 33280 36352 36920 40328 42536 45440 50410 52352 53170 58078 59072 65440 65533 66560 72704 73840 80656 85072 90880 100820 104704 106340 116156 118144 130880 131066 145195 147680 161312 170144 181760 201640 209408 212680 232312 236288 261760 262132 290390 295360 322624 327665 340288 363520 377507 403280 418816 425360 464624 472576 523520 524264 580780 590720 645248 655330 680576 755014 806560 850720 929248 945152 1047040 1048528 1161560 1181440 1290496 1310660 1361152 1510028 1613120 1701440 1858496 1887535 2061769 2094080 2097056 2323120 2362880 2580992 2621320 2722304 3020056 3226240 3402880 3716992 3775070 4123538 4194112 4646240 4725760 5161984 5242640 5444608 6040112 6452480 6805760 7433984 7550140 8247076 8388224 9292480 10308845 10485280 12080224 12904960 13611520 14867968 15100280 16494152 16776448 18584960 20617690 20970560 24160448 25809920 26802997 27223040 29735936 30200560 32988304 33552896 37169920 41235380 41941120 48320896 53605994 60401120 65976608 67105792 74339840 82470760 83882240 96641792 107211988 120802240 131953216 134014985 148679680 164941520 167764480 193283584 214423976 241604480 263906432 268029970 329883040 335528960 386567168 428847952 483208960 527812864 536059940 659766080 857695904 966417920 1055625728 1072119880 1319532160 1715391808 1932835840 2111251456 2144239760 2639064320 3430783616 4288479520 5278128640 6861567232 8576959040 10556257280 13723134464 17153918080 27446268928 34307836160 68615672320 137231344640
- Sum of all divisors σ(n): 360459750840
- Sum of proper divisors (its aliquot sum) s(n): 223228406200
- 137231344640 is an abundant number, because the sum of its proper divisors (223228406200) is greater than itself. Its abundance is 85997061560
Bases of 137231344640
- Binary: 11111111100111010000000100100000000002
- Hexadecimal: 0x1FF3A02400
- Base-36: 1R1JZZ7K
Squares and roots of 137231344640
- 137231344640 squared (1372313446402) is 18832441951702456729600
- 137231344640 cubed (1372313446403) is 2584401331886874074194424889344000
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The
square root of 137231344640 is 370447.4924196411 -
The
cube root of 137231344640 is 5158.0368390775
Scales and comparisons
How big is 137231344640?- 137,231,344,640 seconds is equal to 4,363 years, 27 weeks, 4 days, 17 hours, 57 minutes, 20 seconds.
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To count from 1 to 137,231,344,640 would take you about eight thousand, seven hundred twenty-seven 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 137231344640 cubic inches would be around 429.8 feet tall.
Recreational maths with 137231344640
- 137231344640 backwards is 046443132731
- The number of decimal digits it has is: 12
- The sum of 137231344640's digits is 38
- More coming soon!
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