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13824042831 = 321536004759
BaseRepresentation
bin11001101111111101…
…00010011101001111
31022200102101010201100
430313332202131033
5211302423332311
610203425114143
7666400265604
oct146776423517
938612333640
1013824042831
115954347a95
122819788953
1313c4022201
14951d926ab
1555d977a56
hex337fa274f

13824042831 has 6 divisors (see below), whose sum is σ = 19968061880. Its totient is φ = 9216028548.

The previous prime is 13824042803. The next prime is 13824042851.

It is a happy number.

13824042831 is a `hidden beast` number, since 138 + 240 + 4 + 283 + 1 = 666.

13824042831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13824042831 - 27 = 13824042703 is a prime.

It is a super-2 number, since 2×138240428312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13824042851) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 768002371 + ... + 768002388.

Almost surely, 213824042831 is an apocalyptic number.

13824042831 is a deficient number, since it is larger than the sum of its proper divisors (6144019049).

13824042831 is a wasteful number, since it uses less digits than its factorization.

13824042831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536004765 (or 1536004762 counting only the distinct ones).

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

The spelling of 13824042831 in words is "thirteen billion, eight hundred twenty-four million, forty-two thousand, eight hundred thirty-one".

Divisors: 1 3 9 1536004759 4608014277 13824042831