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234635400144 = 24322815798621
BaseRepresentation
bin1101101010000101011…
…1000001001111010000
3211102122010220022110100
43122201113001033100
512321013130301034
6255442350532400
722644324664665
oct3324127011720
9742563808410
10234635400144
1190565625a42
1239582b07100
1319183b474a2
14b4dbddda6c
156183ed5099
hex36a15c13d0

234635400144 has 60 divisors (see below), whose sum is σ = 658990195812. Its totient is φ = 77933452800.

The previous prime is 234635400127. The next prime is 234635400157. The reversal of 234635400144 is 441004536432.

234635400144 is a `hidden beast` number, since 2 + 3 + 4 + 635 + 4 + 0 + 0 + 14 + 4 = 666.

234635400144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 192380486544 + 42254913600 = 438612^2 + 205560^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 234635400099 and 234635400108.

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 11 ways as a sum of consecutive naturals, for example, 2858847 + ... + 2939774.

Almost surely, 2234635400144 is an apocalyptic number.

234635400144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234635400144 is an abundant number, since it is smaller than the sum of its proper divisors (424354795668).

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

234635400144 is a wasteful number, since it uses less digits than its factorization.

234635400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5798916 (or 5798907 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 234635400144 its reverse (441004536432), we get a palindrome (675639936576).

The spelling of 234635400144 in words is "two hundred thirty-four billion, six hundred thirty-five million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 281 562 843 1124 1686 2248 2529 3372 4496 5058 6744 10116 13488 20232 40464 5798621 11597242 17395863 23194484 34791726 46388968 52187589 69583452 92777936 104375178 139166904 208750356 278333808 417500712 835001424 1629412501 3258825002 4888237503 6517650004 9776475006 13035300008 14664712509 19552950012 26070600016 29329425018 39105900024 58658850036 78211800048 117317700072 234635400144