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232034141422400 = 2652145021338389
BaseRepresentation
bin110100110000100010101000…
…100100110100001101000000
31010102120020200021021121220112
4310300202220210310031000
5220403121410201004100
62141255002450530452
766605625221560532
oct6460425044641500
91112506607247815
10232034141422400
1167a2a143796159
1222035930596a28
139c61958333885
144142725d13852
151bc5b1932cb35
hexd308a8934340

232034141422400 has 42 divisors (see below), whose sum is σ = 570949009241430. Its totient is φ = 92813656568320.

The previous prime is 232034141422399. The next prime is 232034141422469. The reversal of 232034141422400 is 4224141430232.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2557210360384 + 229476931062016 = 1599128^2 + 15148496^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72510667595 + ... + 72510670794.

Almost surely, 2232034141422400 is an apocalyptic number.

232034141422400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232034141422400 is an abundant number, since it is smaller than the sum of its proper divisors (338914867819030).

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

232034141422400 is a wasteful number, since it uses less digits than its factorization.

232034141422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145021338411 (or 145021338396 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 232034141422400 its reverse (4224141430232), we get a palindrome (236258282852632).

The spelling of 232034141422400 in words is "two hundred thirty-two trillion, thirty-four billion, one hundred forty-one million, four hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 145021338389 290042676778 580085353556 725106691945 1160170707112 1450213383890 2320341414224 2900426767780 3625533459725 4640682828448 5800853535560 7251066919450 9281365656896 11601707071120 14502133838900 23203414142240 29004267677800 46406828284480 58008535355600 116017070711200 232034141422400