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424400131233 = 3413419830221
BaseRepresentation
bin1100010110100000011…
…10000001010010100001
31111120110011201110120000
412023100032001102201
523423132413144413
6522544451410213
742443013410601
oct6132016012241
91446404643500
10424400131233
11153a948a0111
126a3028b3969
13310367c3910
14167809d8c01
15b08dac7073
hex62d03814a1

424400131233 has 40 divisors (see below), whose sum is σ = 699400634856. Its totient is φ = 254799302400.

The previous prime is 424400131231. The next prime is 424400131241. The reversal of 424400131233 is 332131004424.

424400131233 is a `hidden beast` number, since 4 + 24 + 400 + 1 + 3 + 1 + 233 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15354183744 + 409045947489 = 123912^2 + 639567^2 .

It is not a de Polignac number, because 424400131233 - 21 = 424400131231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 424400131197 and 424400131206.

It is not an unprimeable number, because it can be changed into a prime (424400131231) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4871938 + ... + 4958283.

Almost surely, 2424400131233 is an apocalyptic number.

It is an amenable number.

424400131233 is a deficient number, since it is larger than the sum of its proper divisors (275000503623).

424400131233 is a wasteful number, since it uses less digits than its factorization.

424400131233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9830287 (or 9830278 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 424400131233 its reverse (332131004424), we get a palindrome (756531135657).

The spelling of 424400131233 in words is "four hundred twenty-four billion, four hundred million, one hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 13 27 39 41 81 117 123 351 369 533 1053 1107 1599 3321 4797 14391 43173 9830221 29490663 88471989 127792873 265415967 383378619 403039061 796247901 1150135857 1209117183 3450407571 3627351549 5239507793 10351222713 10882054647 15718523379 32646163941 47155570137 141466710411 424400131233