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418412431431 = 32283164276573
BaseRepresentation
bin1100001011010110101…
…00110000100001000111
31110222222212210210120200
412011223110300201013
523323402040301211
6520114354301543
742141435662061
oct6055324604107
91428885723520
10418412431431
111514a1a00685
12691115878b3
13305c1143697
14163736ac731
15ad3d0bdb56
hex616b530847

418412431431 has 12 divisors (see below), whose sum is σ = 606509111208. Its totient is φ = 277955959824.

The previous prime is 418412431369. The next prime is 418412431471. The reversal of 418412431431 is 134134214814.

418412431431 is a `hidden beast` number, since 4 + 184 + 1 + 2 + 43 + 1 + 431 = 666.

It is not a de Polignac number, because 418412431431 - 225 = 418378876999 is a prime.

It is a super-2 number, since 2×4184124314312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418412431471) by changing a digit.

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, 82135740 + ... + 82140833.

It is an arithmetic number, because the mean of its divisors is an integer number (50542425934).

Almost surely, 2418412431431 is an apocalyptic number.

418412431431 is a deficient number, since it is larger than the sum of its proper divisors (188096679777).

418412431431 is a wasteful number, since it uses less digits than its factorization.

418412431431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164276862 (or 164276859 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 418412431431 in words is "four hundred eighteen billion, four hundred twelve million, four hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 283 849 2547 164276573 492829719 1478489157 46490270159 139470810477 418412431431