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40953475739322 = 23217133834888037
BaseRepresentation
bin10010100111111001110010…
…10111111010111010111010
312101000010002010202010011200
421103330321113322322322
520331440204242124242
6223033433402235030
711424535210103556
oct1123747127727272
9171003063663150
1040953475739322
111205a2a9444353
1247150841b5a76
1319b0b85c17373
14a18231a76866
154b0461d0704c
hex253f395faeba

40953475739322 has 24 divisors (see below), whose sum is σ = 93952091402676. Its totient is φ = 12848149251456.

The previous prime is 40953475739273. The next prime is 40953475739327. The reversal of 40953475739322 is 22393757435904.

40953475739322 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 3 + 475 + 73 + 93 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39946963170321 + 1006512569001 = 6320361^2 + 1003251^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40953475739322.

It is not an unprimeable number, because it can be changed into a prime (40953475739327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66917443713 + ... + 66917444324.

Almost surely, 240953475739322 is an apocalyptic number.

40953475739322 is an abundant number, since it is smaller than the sum of its proper divisors (52998615663354).

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

40953475739322 is a wasteful number, since it uses less digits than its factorization.

40953475739322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133834888062 (or 133834888059 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 63.

The spelling of 40953475739322 in words is "forty trillion, nine hundred fifty-three billion, four hundred seventy-five million, seven hundred thirty-nine thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 133834888037 267669776074 401504664111 803009328222 1204513992333 2275193096629 2409027984666 4550386193258 6825579289887 13651158579774 20476737869661 40953475739322