131378315952
131,378,315,952 is an even composite number composed of seven prime numbers multiplied together.
131378315952 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 131378315952:
24 × 3 × 13 × 19 × 31 × 37 × 9661
(2 × 2 × 2 × 2 × 3 × 13 × 19 × 31 × 37 × 9661)See below for interesting mathematical facts about the number 131378315952 from the Numbermatics database.
Names of 131378315952
- Cardinal: 131378315952 can be written as One hundred thirty-one billion, three hundred seventy-eight million, three hundred fifteen thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.31378315952 × 1011
Factors of 131378315952
Divisors of 131378315952
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 31 37 38 39 48 52 57 62 74 76 78 93 104 111 114 124 148 152 156 186 208 222 228 247 248 296 304 312 372 403 444 456 481 494 496 589 592 624 703 741 744 806 888 912 962 988 1147 1178 1209 1406 1443 1482 1488 1612 1767 1776 1924 1976 2109 2294 2356 2418 2812 2886 2964 3224 3441 3534 3848 3952 4218 4588 4712 4836 5624 5772 5928 6448 6882 7068 7657 7696 8436 9139 9176 9424 9661 9672 11248 11544 11856 13764 14136 14911 15314 16872 18278 18352 19322 19344 21793 22971 23088 27417 27528 28272 28983 29822 30628 33744 36556 38644 43586 44733 45942 54834 55056 57966 59644 61256 65379 73112 77288 87172 89466 91884 109668 115932 119288 122512 125593 130758 146224 154576 174344 178932 183559 183768 219336 231864 238576 251186 261516 283309 299491 348688 357457 357864 367118 367536 376779 438672 463728 502372 523032 550677 566618 598982 714914 715728 734236 753558 849927 898473 1004744 1046064 1072371 1101354 1133236 1197964 1429828 1468472 1507116 1699854 1796946 2009488 2144742 2202708 2266472 2386267 2395928 2859656 2936944 3014232 3399708 3593892 3893383 4289484 4405416 4532944 4646941 4772534 4791856 5690329 5719312 6028464 6791683 6799416 7158801 7187784 7786766 8578968 8810832 9293882 9545068 11081167 11380658 11680149 13583366 13598832 13940823 14317602 14375568 15573532 17070987 17157936 18587764 19090136 20375049 22162334 22761316 23360298 27166732 27881646 28635204 31147064 33243501 34141974 37175528 38180272 40750098 44324668 45522632 46720596 54333464 55763292 57270408 62294128 66487002 68283948 73974277 74351056 81500196 88291879 88649336 91045264 93441192 108666928 111526584 114540816 132974004 136567896 144055171 147948554 163000392 176583758 177298672 186882384 210542173 221922831 223053168 264875637 265948008 273135792 288110342 295897108 326000784 353167516 421084346 432165513 443845662 529751274 531896016 576220684 591794216 631626519 706335032 842168692 864331026 887691324 1059502548 1152441368 1183588432 1263253038 1412670064 1684337384 1728662052 1775382648 2119005096 2304882736 2526506076 2737048249 3368674768 3457324104 3550765296 4238010192 5053012152 5474096498 6914648208 8211144747 10106024304 10948192996 16422289494 21896385992 32844578988 43792771984 65689157976 131378315952
- Sum of all divisors σ(n): 407925002240
- Sum of proper divisors (its aliquot sum) s(n): 276546686288
- 131378315952 is an abundant number, because the sum of its proper divisors (276546686288) is greater than itself. Its abundance is 145168370336
Bases of 131378315952
- Binary: 11110100101101100001000000010101100002
- Hexadecimal: 0x1E96C202B0
- Base-36: 1OCR99DC
Squares and roots of 131378315952
- 131378315952 squared (1313783159522) is 17260261902383537666304
- 131378315952 cubed (1313783159523) is 2267624141625612993407179656081408
-
The
square root of 131378315952 is 362461.4682307625 -
The
cube root of 131378315952 is 5083.6373699503
Scales and comparisons
How big is 131378315952?- 131,378,315,952 seconds is equal to 4,177 years, 22 weeks, 8 hours, 39 minutes, 12 seconds.
-
To count from 1 to 131,378,315,952 would take you about eight thousand, three hundred fifty-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 131378315952 cubic inches would be around 423.6 feet tall.
Recreational maths with 131378315952
- 131378315952 backwards is 259513873131
- 131378315952 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 131378315952's digits is 48
- More coming soon!
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