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13417071431 = 434014491733
BaseRepresentation
bin11000111111011100…
…00100001101000111
31021122001120211220112
430133232010031013
5204434232241211
610055210223235
7653326140221
oct143756041507
937561524815
1013417071431
115765650395
122725424b1b
13135a90c72a
14913cd5411
15537d8888b
hex31fb84347

13417071431 has 16 divisors (see below), whose sum is σ = 13801946400. Its totient is φ = 13035724800.

The previous prime is 13417071403. The next prime is 13417071439.

13417071431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13417071431 is a prime.

It is a super-2 number, since 2×134170714312 (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 (13417071439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7741241 + ... + 7742973.

It is an arithmetic number, because the mean of its divisors is an integer number (862621650).

Almost surely, 213417071431 is an apocalyptic number.

13417071431 is a deficient number, since it is larger than the sum of its proper divisors (384874969).

13417071431 is a wasteful number, since it uses less digits than its factorization.

13417071431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626.

The product of its (nonzero) digits is 7056, while the sum is 32.

The spelling of 13417071431 in words is "thirteen billion, four hundred seventeen million, seventy-one thousand, four hundred thirty-one".

Divisors: 1 43 401 449 1733 17243 19307 74519 180049 694933 778117 7742107 29882119 33459031 312024917 13417071431