Search a number
-
+
402432934904 = 2371121310145233
BaseRepresentation
bin1011101101100101101…
…11110100001111111000
31102110202020120021020222
411312302313310033320
523043140312404104
6504513010235212
741034443335460
oct5666267641770
91373666507228
10402432934904
1114574199a400
1265bb1b85b08
132bc456b8ab0
1415699356ba0
15a7052c81be
hex5db2df43f8

402432934904 has 192 divisors, whose sum is σ = 1030922665920. Its totient is φ = 143294976000.

The previous prime is 402432934903. The next prime is 402432934913. The reversal of 402432934904 is 409439234204.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402432934903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8874272 + ... + 8919504.

It is an arithmetic number, because the mean of its divisors is an integer number (5369388885).

Almost surely, 2402432934904 is an apocalyptic number.

402432934904 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 402432934904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515461332960).

402432934904 is an abundant number, since it is smaller than the sum of its proper divisors (628489731016).

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

402432934904 is a wasteful number, since it uses less digits than its factorization.

402432934904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45382 (or 45367 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The spelling of 402432934904 in words is "four hundred two billion, four hundred thirty-two million, nine hundred thirty-four thousand, nine hundred four".