131538039705072
131,538,039,705,072 is an even composite number composed of seven prime numbers multiplied together.
131538039705072 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 131538039705072:
24 × 34 × 7 × 113 × 132 × 73 × 883
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 11 × 11 × 13 × 13 × 73 × 883)See below for interesting mathematical facts about the number 131538039705072 from the Numbermatics database.
Names of 131538039705072
- Cardinal: 131538039705072 can be written as One hundred thirty-one trillion, five hundred thirty-eight billion, thirty-nine million, seven hundred five thousand and seventy-two.
Scientific notation
- Scientific notation: 1.31538039705072 × 1014
Factors of 131538039705072
Divisors of 131538039705072
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 33 36 39 42 44 48 52 54 56 63 66 72 73 77 78 81 84 88 91 99 104 108 112 117 121 126 132 143 144 146 154 156 162 168 169 176 182 189 198 208 216 219 231 234 242 252 264 273 286 292 297 308 312 324 336 338 351 363 364 378 396 429 432 438 462 468 484 504 507 511 528 546 567 572 584 594 616 624 648 657 676 693 702 726 728 756 792 803 819 847 858 876 883 891 924 936 949 968 1001 1008 1014 1022 1053 1089 1092 1134 1144 1168 1183 1188 1232 1287 1296 1314 1331 1352 1386 1404 1452 1456 1512 1521 1533 1573 1584 1606 1638 1694 1716 1752 1766 1782 1848 1859 1872 1898 1936 1971 2002 2028 2044 2079 2106 2178 2184 2268 2288 2366 2376 2409 2457 2541 2574 2628 2649 2662 2704 2772 2808 2847 2904 3003 3024 3042 3066 3146 3212 3267 3276 3388 3432 3504 3532 3549 3564 3696 3718 3796 3861 3942 3993 4004 4056 4088 4158 4212 4356 4368 4536 4563 4599 4719 4732 4752 4818 4914 5082 5148 5256 5298 5324 5544 5577 5616 5621 5694 5808 5913 6006 6084 6132 6181 6237 6292 6424 6534 6552 6643 6776 6864 7064 7098 7128 7227 7371 7436 7592 7623 7722 7884 7947 7986 8008 8112 8176 8316 8424 8541 8712 8833 9009 9072 9126 9198 9317 9438 9464 9636 9713 9801 9828 10164 10296 10439 10512 10596 10647 10648 11011 11088 11154 11242 11388 11479 11583 11826 11979 12012 12168 12264 12337 12362 12474 12584 12848 13013 13068 13104 13286 13552 13689 13797 14128 14157 14196 14256 14454 14742 14872 15184 15246 15444 15768 15894 15972 16016 16632 16731 16848 16863 17082 17303 17424 17666 18018 18252 18396 18543 18634 18876 18928 19272 19426 19602 19656 19929 20328 20449 20592 20878 21192 21294 21296 21681 22022 22308 22484 22776 22869 22958 23166 23652 23841 23958 24024 24336 24528 24674 24724 24948 25168 25623 26026 26136 26499 26572 27027 27378 27594 27951 28314 28392 28908 29139 29484 29744 30492 30888 31317 31536 31788 31941 31944 33033 33264 33462 33726 34164 34437 34606 35332 35937 36036 36504 36792 37011 37086 37268 37752 38544 38852 39039 39204 39312 39858 40656 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1264788843318 1328667067728 1445472963792 1494750451194 1565929044108 1623926416112 1686385124424 1708286229936 1801890954864 1826917218126 1993000601592 2087905392144 2348893566162 2435889624168 2529577686636 2740375827189 2989500902388 3131858088216 3372770248848 3653834436252 3986001203184 4697787132324 4871779248336 5059155373272 5480751654378 5979001804776 6263716176432 7307668872504 8221127481567 9395574264648 10118310746544 10961503308756 11958003609552 14615337745008 16442254963134 18791148529296 21923006617512 32884509926268 43846013235024 65769019852536 131538039705072
- Sum of all divisors σ(n): 525912147611136
- Sum of proper divisors (its aliquot sum) s(n): 394374107906064
- 131538039705072 is an abundant number, because the sum of its proper divisors (394374107906064) is greater than itself. Its abundance is 262836068200992
Bases of 131538039705072
- Binary: 111011110100010000101100010000110001101111100002
- Hexadecimal: 0x77A216218DF0
- Base-36: 1AMJQOMN00
Squares and roots of 131538039705072
- 131538039705072 squared (1315380397050722) is 17302255889453097964742525184
- 131538039705072 cubed (1315380397050723) is 2275904822174197453245597590808415892533248
-
The
square root of 131538039705072 is 11469003.4312084849 -
The
cube root of 131538039705072 is 50856.9668697205
Scales and comparisons
How big is 131538039705072?- 131,538,039,705,072 seconds is equal to 4,182,502 years, 41 weeks, 2 hours, 31 minutes, 12 seconds.
-
To count from 1 to 131,538,039,705,072 would take you about ten million, four hundred fifty-six thousand, two hundred fifty-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 131538039705072 cubic inches would be around 4238.1 feet tall.
Recreational maths with 131538039705072
- 131538039705072 backwards is 270507930835131
- 131538039705072 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131538039705072's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 131538039705072 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/131538039705072/
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The information we have on file for 131538039705072 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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