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40346061156 = 223223431133189
BaseRepresentation
bin100101100100110100…
…000000100101100100
310212010210020021011100
4211210310000211210
51130112042424111
630311300040100
72625545601312
oct454464004544
9125123207140
1040346061156
11161243329a5
12799b993030
133a5c98998b
141d4a5310b2
1510b2093756
hex964d00964

40346061156 has 72 divisors (see below), whose sum is σ = 108895026240. Its totient is φ = 12564788544.

The previous prime is 40346061127. The next prime is 40346061163. The reversal of 40346061156 is 65116064304.

It is a happy number.

40346061156 is a `hidden beast` number, since 4 + 0 + 34 + 6 + 0 + 611 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40346061156.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530991 + ... + 602198.

It is an arithmetic number, because the mean of its divisors is an integer number (1512430920).

Almost surely, 240346061156 is an apocalyptic number.

40346061156 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

40346061156 is an abundant number, since it is smaller than the sum of its proper divisors (68548965084).

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

40346061156 is a wasteful number, since it uses less digits than its factorization.

40346061156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133265 (or 1133260 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 40346061156 in words is "forty billion, three hundred forty-six million, sixty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 43 46 69 86 92 129 138 172 207 258 276 387 414 516 774 828 989 1548 1978 2967 3956 5934 8901 11868 17802 35604 1133189 2266378 3399567 4532756 6799134 10198701 13598268 20397402 26063347 40794804 48727127 52126694 78190041 97454254 104253388 146181381 156380082 194908508 234570123 292362762 312760164 438544143 469140246 584725524 877088286 938280492 1120723921 1754176572 2241447842 3362171763 4482895684 6724343526 10086515289 13448687052 20173030578 40346061156