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234334505433432 = 23337672591966479
BaseRepresentation
bin110101010010000001000000…
…111101000111100101011000
31010201201011022121000011212210
4311102001000331013211120
5221203314031342332212
62150215441411035120
7100234052332212015
oct6522010075074530
91121634277004783
10234334505433432
11687367842580a8
122234771b89baa0
13a09a858c47191
1441c1bc9dbc70c
151c158a191e53c
hexd52040f47958

234334505433432 has 32 divisors (see below), whose sum is σ = 585991781798400. Its totient is φ = 78090766049184.

The previous prime is 234334505433419. The next prime is 234334505433443.

It is a happy number.

234334505433432 is nontrivially palindromic in base 10.

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, 1295892832 + ... + 1296073647.

It is an arithmetic number, because the mean of its divisors is an integer number (18312243181200).

Almost surely, 2234334505433432 is an apocalyptic number.

It is an amenable number.

234334505433432 is an abundant number, since it is smaller than the sum of its proper divisors (351657276364968).

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

234334505433432 is a wasteful number, since it uses less digits than its factorization.

234334505433432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591970255 (or 2591970251 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 48.

It can be divided in two parts, 23433450 and 5433432, that added together give a palindrome (28866882).

The spelling of 234334505433432 in words is "two hundred thirty-four trillion, three hundred thirty-four billion, five hundred five million, four hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 3767 7534 11301 15068 22602 30136 45204 90408 2591966479 5183932958 7775899437 10367865916 15551798874 20735731832 31103597748 62207195496 9763937726393 19527875452786 29291813179179 39055750905572 58583626358358 78111501811144 117167252716716 234334505433432