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232311050405540 = 22592918016942413
BaseRepresentation
bin110100110100100100100001…
…101000110000011010100100
31010110112201102112101110101222
4310310210201220300122210
5220422141012400434130
62142030120115235512
766634630252234301
oct6464444150603244
91113481375343358
10232311050405540
1168026621687747
122207b5308a8b98
139c81ab82865a2
144151cb44340a8
151bcce246edce5
hexd34921a306a4

232311050405540 has 48 divisors (see below), whose sum is σ = 488649584893680. Its totient is φ = 92772840038400.

The previous prime is 232311050405527. The next prime is 232311050405627. The reversal of 232311050405540 is 45504050113232.

It can be written as a sum of positive squares in 8 ways, for example, as 118101817261156 + 114209233144384 = 10867466^2 + 10686872^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 232311050405540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29991374 + ... + 36933786.

It is an arithmetic number, because the mean of its divisors is an integer number (10180199685285).

Almost surely, 2232311050405540 is an apocalyptic number.

232311050405540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232311050405540 is an abundant number, since it is smaller than the sum of its proper divisors (256338534488140).

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

232311050405540 is a wasteful number, since it uses less digits than its factorization.

232311050405540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6945152 (or 6945150 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 232311050405540 in words is "two hundred thirty-two trillion, three hundred eleven billion, fifty million, four hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 929 1801 1858 3602 3716 4645 7204 9005 9290 18010 18580 36020 1673129 3346258 6692516 6942413 8365645 13884826 16731290 27769652 33462580 34712065 69424130 138848260 6449501677 12503285813 12899003354 25006571626 25798006708 32247508385 50013143252 62516429065 64495016770 125032858130 128990033540 250065716260 11615552520277 23231105040554 46462210081108 58077762601385 116155525202770 232311050405540