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13442224431 = 33710110931097
BaseRepresentation
bin11001000010011100…
…00001000100101111
31021200210220202100010
430201032001010233
5210012202140211
610101505304303
7654053010456
oct144116010457
937623822303
1013442224431
115778870199
122731935093
131362ba846c
149173a1b9d
1553a1a64a6
hex32138112f

13442224431 has 32 divisors (see below), whose sum is σ = 18623590848. Its totient is φ = 8617190400.

The previous prime is 13442224403. The next prime is 13442224487.

13442224431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13442224431 - 211 = 13442222383 is a prime.

It is a super-2 number, since 2×134422244312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13442924431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12253075 + ... + 12254171.

It is an arithmetic number, because the mean of its divisors is an integer number (581987214).

Almost surely, 213442224431 is an apocalyptic number.

13442224431 is a deficient number, since it is larger than the sum of its proper divisors (5181366417).

13442224431 is a wasteful number, since it uses less digits than its factorization.

13442224431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331.

The product of its digits is 18432, while the sum is 30.

The spelling of 13442224431 in words is "thirteen billion, four hundred forty-two million, two hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 37 101 111 303 1093 1097 3279 3291 3737 11211 40441 40589 110393 110797 121323 121767 331179 332391 1199021 3597063 4084541 4099489 12253623 12298467 44363777 121101121 133091331 363303363 4480741477 13442224431