137522118656
137,522,118,656 is an even composite number composed of five prime numbers multiplied together.
What does the number 137522118656 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 272 divisors.
137522118656 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred seventy-two divisors.
Prime factorization of 137522118656:
216 × 13 × 31 × 41 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 31 × 41 × 127)See below for interesting mathematical facts about the number 137522118656 from the Numbermatics database.
Names of 137522118656
- Cardinal: 137522118656 can be written as One hundred thirty-seven billion, five hundred twenty-two million, one hundred eighteen thousand, six hundred fifty-six.
Scientific notation
- Scientific notation: 1.37522118656 × 1011
Factors of 137522118656
Divisors of 137522118656
- Number of divisors d(n): 272
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Complete list of divisors:
1 2 4 8 13 16 26 31 32 41 52 62 64 82 104 124 127 128 164 208 248 254 256 328 403 416 496 508 512 533 656 806 832 992 1016 1024 1066 1271 1312 1612 1651 1664 1984 2032 2048 2132 2542 2624 3224 3302 3328 3937 3968 4064 4096 4264 5084 5207 5248 6448 6604 6656 7874 7936 8128 8192 8528 10168 10414 10496 12896 13208 13312 15748 15872 16256 16384 16523 17056 20336 20828 20992 25792 26416 26624 31496 31744 32512 32768 33046 34112 40672 41656 41984 51181 51584 52832 53248 62992 63488 65024 65536 66092 67691 68224 81344 83312 83968 102362 103168 105664 106496 125984 126976 130048 132184 135382 136448 161417 162688 166624 167936 204724 206336 211328 212992 251968 253952 260096 264368 270764 272896 322834 325376 333248 335872 409448 412672 422656 425984 503936 507904 520192 528736 541528 545792 645668 650752 666496 671744 818896 825344 845312 851968 1007872 1015808 1040384 1057472 1083056 1091584 1291336 1301504 1332992 1343488 1637792 1650688 1690624 2015744 2031616 2080768 2098421 2114944 2166112 2183168 2582672 2603008 2665984 2686976 3275584 3301376 3381248 4031488 4161536 4196842 4229888 4332224 4366336 5165344 5206016 5331968 6551168 6602752 6762496 8062976 8323072 8393684 8459776 8664448 8732672 10330688 10412032 10663936 13102336 13205504 13524992 16125952 16787368 16919552 17328896 17465344 20661376 20824064 21327872 26204672 26411008 27049984 32251904 33574736 33839104 34657792 34930688 41322752 41648128 42655744 52409344 54099968 64503808 67149472 67678208 69315584 82645504 83296256 85311488 104818688 108199936 129007616 134298944 135356416 138631168 165291008 170622976 209637376 258015232 268597888 270712832 277262336 330582016 341245952 419274752 537195776 541425664 554524672 661164032 838549504 1074391552 1082851328 1109049344 1322328064 1677099008 2148783104 2218098688 2644656128 3354198016 4297566208 4436197376 5289312256 8595132416 10578624512 17190264832 34380529664 68761059328 137522118656
- Sum of all divisors σ(n): 315677687808
- Sum of proper divisors (its aliquot sum) s(n): 178155569152
- 137522118656 is an abundant number, because the sum of its proper divisors (178155569152) is greater than itself. Its abundance is 40633450496
Bases of 137522118656
- Binary: 100000000001001111010100000000000000002
- Hexadecimal: 0x2004F50000
- Base-36: 1R6D49VK
Squares and roots of 137522118656
- 137522118656 squared (1375221186562) is 18912333119634943246336
- 137522118656 cubed (1375221186563) is 2600864119340235308526445229244416
-
The
square root of 137522118656 is 370839.7479451199 -
The
cube root of 137522118656 is 5161.6773218221
Scales and comparisons
How big is 137522118656?- 137,522,118,656 seconds is equal to 4,372 years, 40 weeks, 3 days, 4 hours, 30 minutes, 56 seconds.
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To count from 1 to 137,522,118,656 would take you about eight thousand, seven hundred forty-five 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 137522118656 cubic inches would be around 430.1 feet tall.
Recreational maths with 137522118656
- 137522118656 backwards is 656811225731
- The number of decimal digits it has is: 12
- The sum of 137522118656's digits is 47
- More coming soon!
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