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402342243204 = 2231141271397691
BaseRepresentation
bin1011101101011010111…
…01110110101110000100
31102110111220220122122010
411312231131312232010
523042444103240304
6504500010334220
741032262432256
oct5665535665604
91373456818563
10402342243204
111456a5786390
1265b8772a370
132bc2c984075
141568b2a9cd6
15a6ec361789
hex5dad776b84

402342243204 has 192 divisors, whose sum is σ = 1057174401024. Its totient is φ = 118039680000.

The previous prime is 402342243151. The next prime is 402342243211.

402342243204 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 582260499 + ... + 582261189.

It is an arithmetic number, because the mean of its divisors is an integer number (5506116672).

Almost surely, 2402342243204 is an apocalyptic number.

402342243204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402342243204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528587200512).

402342243204 is an abundant number, since it is smaller than the sum of its proper divisors (654832157820).

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

402342243204 is a wasteful number, since it uses less digits than its factorization.

402342243204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 402342 and 243204, that added together give a palindrome (645546).

The spelling of 402342243204 in words is "four hundred two billion, three hundred forty-two million, two hundred forty-three thousand, two hundred four".