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140314465136331 = 32174432070176089
BaseRepresentation
bin11111111001110110000001…
…110110011110111011001011
3200101210221011022212122000100
4133321312001312132323023
5121342403011033330311
61214231324142140443
741361246151610523
oct3771660166367313
9611727138778010
10140314465136331
1140788037640572
12138a1a72581723
13603a79c317575
1426913835c4683
151134d7ba5ba56
hex7f9d81d9eecb

140314465136331 has 24 divisors (see below), whose sum is σ = 215083015046640. Its totient is φ = 87841711766016.

The previous prime is 140314465136269. The next prime is 140314465136347. The reversal of 140314465136331 is 133631564413041.

140314465136331 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 1 + 4 + 4 + 6 + 5 + 1 + 3 + 633 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-140314465136331 is a prime.

It is a super-2 number, since 2×1403144651363312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140314465136731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1035020266 + ... + 1035155823.

It is an arithmetic number, because the mean of its divisors is an integer number (8961792293610).

Almost surely, 2140314465136331 is an apocalyptic number.

140314465136331 is a deficient number, since it is larger than the sum of its proper divisors (74768549910309).

140314465136331 is a wasteful number, since it uses less digits than its factorization.

140314465136331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070176555 (or 2070176552 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 140314465136331 in words is "one hundred forty trillion, three hundred fourteen billion, four hundred sixty-five million, one hundred thirty-six thousand, three hundred thirty-one".

Divisors: 1 3 9 17 51 153 443 1329 3987 7531 22593 67779 2070176089 6210528267 18631584801 35192993513 105578980539 316736941617 917088007427 2751264022281 8253792066843 15590496126259 46771488378777 140314465136331