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640360042344 = 2332114347400067
BaseRepresentation
bin10010101000110000110…
…11101100111101101000
32021012212210101122020100
421110120123230331220
540442424132323334
61210102150025400
764156501356651
oct11243033547550
92235783348210
10640360042344
112276366057a0
12a4133348260
13485024a0b79
1422dca5b4528
15119cd273c99
hex95186ecf68

640360042344 has 192 divisors, whose sum is σ = 1977168061440. Its totient is φ = 185502602880.

The previous prime is 640360042321. The next prime is 640360042367. The reversal of 640360042344 is 443240063046.

640360042344 is a `hidden beast` number, since 6 + 4 + 0 + 3 + 600 + 4 + 2 + 3 + 44 = 666.

640360042344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (640360042321) and next prime (640360042367).

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

It is a junction number, because it is equal to n+sod(n) for n = 640360042299 and 640360042308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1400599 + ... + 1800665.

It is an arithmetic number, because the mean of its divisors is an integer number (10297750320).

Almost surely, 2640360042344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640360042344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988584030720).

640360042344 is an abundant number, since it is smaller than the sum of its proper divisors (1336808019096).

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

640360042344 is a wasteful number, since it uses less digits than its factorization.

640360042344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400180 (or 400173 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 640360042344 in words is "six hundred forty billion, three hundred sixty million, forty-two thousand, three hundred forty-four".