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234463323364432 = 24235231218219113
BaseRepresentation
bin110101010011111000111111…
…000110100001110001010000
31010202011110211010200002200021
4311103320333012201301100
5221212421341240130212
62150354544102233224
7100246262503442041
oct6523707706416120
91122143733602607
10234463323364432
11687863786582a8
1222368690725814
13a0a9a47c64ca6
1441c812a4a48c8
151c18de0ada307
hexd53e3f1a1c50

234463323364432 has 40 divisors (see below), whose sum is σ = 474930030907584. Its totient is φ = 111920226257664.

The previous prime is 234463323364399. The next prime is 234463323364489.

234463323364432 is nontrivially palindromic in base 10.

234463323364432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2344633233644323 (a number of 44 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 234463323364432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 608917093 + ... + 609302020.

Almost surely, 2234463323364432 is an apocalyptic number.

It is an amenable number.

234463323364432 is an abundant number, since it is smaller than the sum of its proper divisors (240466707543152).

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

234463323364432 is a wasteful number, since it uses less digits than its factorization.

234463323364432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218219667 (or 1218219661 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 52.

The spelling of 234463323364432 in words is "two hundred thirty-four trillion, four hundred sixty-three billion, three hundred twenty-three million, three hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 92 184 368 523 1046 2092 4184 8368 12029 24058 48116 96232 192464 1218219113 2436438226 4872876452 9745752904 19491505808 28019039599 56038079198 112076158396 224152316792 448304633584 637128596099 1274257192198 2548514384396 5097028768792 10194057537584 14653957710277 29307915420554 58615830841108 117231661682216 234463323364432