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13404140431 = 112942019249
BaseRepresentation
bin11000111101111001…
…01111001110001111
31021121011020212220121
430132330233032033
5204422424443211
610054025125411
7653111212423
oct143674571617
937534225817
1013404140431
115759319110
122721029867
131358032a56
149122cab83
15536b82271
hex31ef2f38f

13404140431 has 8 divisors (see below), whose sum is σ = 15126930000. Its totient is φ = 11765389440.

The previous prime is 13404140429. The next prime is 13404140443.

13404140431 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13404140431 - 21 = 13404140429 is a prime.

It is a super-2 number, since 2×134041404312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13404140396 and 13404140405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13404140461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21009306 + ... + 21009943.

It is an arithmetic number, because the mean of its divisors is an integer number (1890866250).

Almost surely, 213404140431 is an apocalyptic number.

13404140431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13404140431 is a deficient number, since it is larger than the sum of its proper divisors (1722789569).

13404140431 is a wasteful number, since it uses less digits than its factorization.

13404140431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42019289.

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 13404140431 in words is "thirteen billion, four hundred four million, one hundred forty thousand, four hundred thirty-one".

Divisors: 1 11 29 319 42019249 462211739 1218558221 13404140431