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13470422407431 = 3114741351210031
BaseRepresentation
bin1100010000000101001110…
…1111100001100100000111
31202200202111220020212012120
43010001103233201210013
53231144411114014211
644352120541221023
72560130424160533
oct304012357414407
952622456225176
1013470422407431
114323857304110
1216167a9261773
137693420c9812
14347d86d58bc3
151855e37cdd06
hexc4053be1907

13470422407431 has 32 divisors (see below), whose sum is σ = 20010800480256. Its totient is φ = 7989961260000.

The previous prime is 13470422407417. The next prime is 13470422407471.

It is a happy number.

13470422407431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13470422407431 - 26 = 13470422407367 is a prime.

It is a super-2 number, since 2×134704224074312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13470422407411) 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 31 ways as a sum of consecutive naturals, for example, 64030386 + ... + 64240416.

It is an arithmetic number, because the mean of its divisors is an integer number (625337515008).

Almost surely, 213470422407431 is an apocalyptic number.

13470422407431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13470422407431 is a deficient number, since it is larger than the sum of its proper divisors (6540378072825).

13470422407431 is a wasteful number, since it uses less digits than its factorization.

13470422407431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251443.

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 13470422407431 in words is "thirteen trillion, four hundred seventy billion, four hundred twenty-two million, four hundred seven thousand, four hundred thirty-one".

Divisors: 1 3 11 33 47 141 517 1551 41351 124053 210031 454861 630093 1364583 1943497 2310341 5830491 6931023 9871457 21378467 29614371 64135401 108586027 325758081 8684991881 26054975643 95534910691 286604732073 408194618407 1224583855221 4490140802477 13470422407431