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13454045431 = 232250125997
BaseRepresentation
bin11001000011110110…
…00111000011110111
31021201122011022200221
430201323013003313
5210023213423211
610103010515211
7654255333151
oct144173070367
937648138627
1013454045431
115784504512
122735895b07
131365486b38
14918b9bad1
1553b23dc71
hex321ec70f7

13454045431 has 8 divisors (see below), whose sum is σ = 14040167904. Its totient is φ = 12868020000.

The previous prime is 13454045419. The next prime is 13454045519.

13454045431 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 13454045431 - 27 = 13454045303 is a prime.

It is a super-2 number, since 2×134540454312 (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 (13454045401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504525 + ... + 530521.

It is an arithmetic number, because the mean of its divisors is an integer number (1755020988).

Almost surely, 213454045431 is an apocalyptic number.

13454045431 is a deficient number, since it is larger than the sum of its proper divisors (586122473).

13454045431 is a wasteful number, since it uses less digits than its factorization.

13454045431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48521.

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 134540 and 45431, that added together give a palindrome (179971).

The spelling of 13454045431 in words is "thirteen billion, four hundred fifty-four million, forty-five thousand, four hundred thirty-one".

Divisors: 1 23 22501 25997 517523 597931 584958497 13454045431