135320641131312
135,320,641,131,312 is an even composite number composed of six prime numbers multiplied together.
What does the number 135320641131312 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2400 divisors.
135320641131312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 135320641131312:
24 × 37 × 7 × 134 × 23 × 292
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 13 × 13 × 23 × 29 × 29)See below for interesting mathematical facts about the number 135320641131312 from the Numbermatics database.
Names of 135320641131312
- Cardinal: 135320641131312 can be written as One hundred thirty-five trillion, three hundred twenty billion, six hundred forty-one million, one hundred thirty-one thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.35320641131312 × 1014
Factors of 135320641131312
Divisors of 135320641131312
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 27 28 29 36 39 42 46 48 52 54 56 58 63 69 72 78 81 84 87 91 92 104 108 112 116 117 126 138 144 156 161 162 168 169 174 182 184 189 203 207 208 216 232 234 243 252 261 273 276 299 312 322 324 336 338 348 351 364 368 377 378 406 414 432 464 468 483 486 504 507 522 546 552 567 598 609 621 624 644 648 667 676 696 702 728 729 754 756 783 812 819 828 841 897 936 966 972 1008 1014 1044 1053 1092 1104 1131 1134 1183 1196 1218 1242 1288 1296 1334 1352 1392 1404 1449 1456 1458 1508 1512 1521 1566 1624 1638 1656 1682 1701 1794 1827 1863 1872 1932 1944 2001 2028 2088 2093 2106 2184 2187 2197 2262 2268 2349 2366 2392 2436 2457 2484 2523 2576 2639 2668 2691 2704 2808 2898 2916 3016 3024 3042 3132 3159 3248 3276 3312 3364 3393 3402 3549 3588 3654 3726 3864 3887 3888 4002 4056 4176 4186 4212 4347 4368 4374 4394 4524 4536 4563 4669 4698 4732 4784 4872 4901 4914 4968 5046 5103 5278 5336 5382 5481 5589 5616 5796 5832 5887 6003 6032 6084 6264 6279 6318 6552 6591 6728 6786 6804 7047 7098 7176 7308 7371 7452 7569 7728 7774 7917 8004 8073 8112 8372 8424 8671 8694 8748 8788 9048 9072 9126 9338 9396 9464 9477 9744 9802 9828 9936 10092 10179 10206 10556 10647 10672 10764 10933 10962 11178 11592 11661 11664 11774 12006 12168 12528 12558 12636 13041 13104 13182 13456 13572 13608 13689 14007 14094 14196 14352 14616 14703 14742 14904 15138 15309 15379 15548 15834 16008 16146 16443 16744 16767 16848 17342 17388 17496 17576 17661 18009 18096 18252 18676 18792 18837 18928 18954 19343 19604 19656 19773 20184 20358 20412 21112 21141 21294 21528 21866 21924 22113 22356 22707 23184 23322 23548 23751 24012 24219 24336 25116 25272 26013 26082 26364 27144 27209 27216 27378 28014 28188 28392 28431 28561 29232 29406 29484 29808 30276 30537 30618 30758 31096 31668 31941 32016 32292 32799 32886 33488 33534 34307 34684 34776 34983 34992 35152 35322 36018 36504 37352 37584 37674 37908 38686 39123 39208 39312 39546 40368 40716 40824 41067 42021 42224 42282 42588 43056 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1166557251132 1208220010101 1252968899364 1301160010878 1470876534036 1487040012432 1555409668176 1610960013468 1670625199152 1734880014504 1879453349046 1961168712048 2147946684624 2333114502264 2416440020202 2505937798728 2602320021756 2819180023569 2941753068072 3221920026936 3469760029008 3758906698092 4666229004528 4832880040404 5011875597456 5204640043512 5638360047138 5883506136144 6443840053872 7517813396184 8457540070707 9665760080808 10409280087024 11276720094276 15035626792368 16915080141414 19331520161616 22553440188552 33830160282828 45106880377104 67660320565656 135320641131312
- Sum of all divisors σ(n): 526125397724160
- Sum of proper divisors (its aliquot sum) s(n): 390804756592848
- 135320641131312 is an abundant number, because the sum of its proper divisors (390804756592848) is greater than itself. Its abundance is 255484115461536
Bases of 135320641131312
- Binary: 111101100010010110010101011111011010011001100002
- Hexadecimal: 0x7B12CABED330
- Base-36: 1BYTFZUR00
Squares and roots of 135320641131312
- 135320641131312 squared (1353206411313122) is 18311675916189329039226841344
- 135320641131312 cubed (1353206411313123) is 2477947725167545070854743489874336494563328
-
The
square root of 135320641131312 is 11632740.0525977541 -
The
cube root of 135320641131312 is 51339.8602603207
Scales and comparisons
How big is 135320641131312?- 135,320,641,131,312 seconds is equal to 4,302,777 years, 42 weeks, 2 days, 4 hours, 55 minutes, 12 seconds.
-
To count from 1 to 135,320,641,131,312 would take you about ten million, seven hundred fifty-six thousand, nine hundred forty-four 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 135320641131312 cubic inches would be around 4278.3 feet tall.
Recreational maths with 135320641131312
- 135320641131312 backwards is 213131146023531
- 135320641131312 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135320641131312's digits is 36
- More coming soon!
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"Number 135320641131312 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 135320641131312 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/135320641131312/
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The information we have on file for 135320641131312 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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