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234463424364432 = 2433542739408251
BaseRepresentation
bin110101010011111001000101…
…000111110011111110010000
31010202011111002011201102122000
4311103321011013303332100
5221212422043114130212
62150355002111114000
7100246265141100504
oct6523710507637620
91122144064642560
10234463424364432
116878641a67207a
12223686ba512900
13a0a9a62b689c3
1441c8139a76304
151c18de98db1dc
hexd53e451f3f90

234463424364432 has 40 divisors (see below), whose sum is σ = 672996866232480. Its totient is φ = 78154474788000.

The previous prime is 234463424364347. The next prime is 234463424364437.

234463424364432 is a `hidden beast` number, since 2 + 3 + 4 + 463 + 42 + 43 + 64 + 43 + 2 = 666.

234463424364432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (234463424364437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271369703694 + ... + 271369704557.

It is an arithmetic number, because the mean of its divisors is an integer number (16824921655812).

Almost surely, 2234463424364432 is an apocalyptic number.

It is an amenable number.

234463424364432 is an abundant number, since it is smaller than the sum of its proper divisors (438533441868048).

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

234463424364432 is a wasteful number, since it uses less digits than its factorization.

234463424364432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542739408268 (or 542739408256 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 54.

The spelling of 234463424364432 in words is "two hundred thirty-four trillion, four hundred sixty-three billion, four hundred twenty-four million, three hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 542739408251 1085478816502 1628218224753 2170957633004 3256436449506 4341915266008 4884654674259 6512872899012 8683830532016 9769309348518 13025745798024 14653964022777 19538618697036 26051491596048 29307928045554 39077237394072 58615856091108 78154474788144 117231712182216 234463424364432