Search a number
-
+
131680047423312 = 24339710729368429
BaseRepresentation
bin11101111100001100100110…
…011100110101111101010000
3122021020111012220122012022000
4131330030212130311331100
5114224421214120021222
61144020551220514000
736510366221163513
oct3574144634657520
9567214186565260
10131680047423312
1138a59215973613
121292858554b900
1358624b53a865b
1424734c3a4ad7a
1510354783b79ac
hex77c326735f50

131680047423312 has 160 divisors (see below), whose sum is σ = 385435974268800. Its totient is φ = 43034849759232.

The previous prime is 131680047423271. The next prime is 131680047423319. The reversal of 131680047423312 is 213324740086131.

It is a happy number.

131680047423312 is a `hidden beast` number, since 1 + 3 + 168 + 0 + 0 + 474 + 2 + 3 + 3 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131680047423319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10200487 + ... + 19167942.

It is an arithmetic number, because the mean of its divisors is an integer number (2408974839180).

Almost surely, 2131680047423312 is an apocalyptic number.

131680047423312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131680047423312 is an abundant number, since it is smaller than the sum of its proper divisors (253755926845488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131680047423312 is a wasteful number, since it uses less digits than its factorization.

131680047423312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29368650 (or 29368638 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 131680047423312 in words is "one hundred thirty-one trillion, six hundred eighty billion, forty-seven million, four hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 97 107 108 144 194 214 216 291 321 388 428 432 582 642 776 856 873 963 1164 1284 1552 1712 1746 1926 2328 2568 2619 2889 3492 3852 4656 5136 5238 5778 6984 7704 10379 10476 11556 13968 15408 20758 20952 23112 31137 41516 41904 46224 62274 83032 93411 124548 166064 186822 249096 280233 373644 498192 560466 747288 1120932 1494576 2241864 4483728 29368429 58736858 88105287 117473716 176210574 234947432 264315861 352421148 469894864 528631722 704842296 792947583 1057263444 1409684592 1585895166 2114526888 2848737613 3142421903 3171790332 4229053776 5697475226 6284843806 6343580664 8546212839 9427265709 11394950452 12569687612 12687161328 17092425678 18854531418 22789900904 25139375224 25638638517 28281797127 34184851356 37709062836 45579801808 50278750448 51277277034 56563594254 68369702712 75418125672 76915915551 84845391381 102554554068 113127188508 136739405424 150836251344 153831831102 169690782762 205109108136 226254377016 304814924591 307663662204 339381565524 410218216272 452508754032 609629849182 615327324408 678763131048 914444773773 1219259698364 1230654648816 1357526262096 1828889547546 2438519396728 2743334321319 3657779095092 4877038793456 5486668642638 7315558190184 8230002963957 10973337285276 14631116380368 16460005927914 21946674570552 32920011855828 43893349141104 65840023711656 131680047423312