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234842248432 = 24112081641197
BaseRepresentation
bin1101101010110110110…
…0000101010011110000
3211110011120010021222001
43122231230011103300
512321424103422212
6255515100223344
722652416114141
oct3325554052360
9743146107861
10234842248432
1190661366140
123962023ab54
13191b795b91c
14b51b685ac8
156197243657
hex36adb054f0

234842248432 has 40 divisors (see below), whose sum is σ = 496610415792. Its totient is φ = 106695014400.

The previous prime is 234842248429. The next prime is 234842248447.

It is a happy number.

234842248432 is nontrivially palindromic in base 10.

234842248432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45658 + ... + 686854.

Almost surely, 2234842248432 is an apocalyptic number.

234842248432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234842248432 is an abundant number, since it is smaller than the sum of its proper divisors (261768167360).

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

234842248432 is a wasteful number, since it uses less digits than its factorization.

234842248432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643297 (or 643291 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 46.

The spelling of 234842248432 in words is "two hundred thirty-four billion, eight hundred forty-two million, two hundred forty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 2081 4162 8324 16648 22891 33296 45782 91564 183128 366256 641197 1282394 2564788 5129576 7053167 10259152 14106334 28212668 56425336 112850672 1334330957 2668661914 5337323828 10674647656 14677640527 21349295312 29355281054 58710562108 117421124216 234842248432