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13462433426431 = 1141191211740681
BaseRepresentation
bin1100001111100111011110…
…0011111110101111111111
31202122222220010120120112101
43003321313203332233333
53231032030424121211
644344320113445531
72556425436022663
oct303716743765777
952588803516471
1013462433426431
114320427782480
1216151398708a7
1376866ac44022
14347829d1c8a3
151852c725d5c1
hexc3e778febff

13462433426431 has 32 divisors (see below), whose sum is σ = 15194954944512. Its totient is φ = 11821252800000.

The previous prime is 13462433426399. The next prime is 13462433426473.

13462433426431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13462433426431 - 25 = 13462433426399 is a prime.

It is a super-2 number, since 2×134624334264312 (a number of 27 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 (13462433426531) 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, 17805411 + ... + 18546091.

It is an arithmetic number, because the mean of its divisors is an integer number (474842342016).

Almost surely, 213462433426431 is an apocalyptic number.

13462433426431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13462433426431 is a deficient number, since it is larger than the sum of its proper divisors (1732521518081).

13462433426431 is a wasteful number, since it uses less digits than its factorization.

13462433426431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741135.

The product of its digits is 2985984, while the sum is 46.

The spelling of 13462433426431 in words is "thirteen trillion, four hundred sixty-two billion, four hundred thirty-three million, four hundred twenty-six thousand, four hundred thirty-one".

Divisors: 1 11 41 191 211 451 2101 2321 7831 8651 40301 86141 95161 443311 740681 1652341 8147491 18175751 30367921 141470071 156283691 334047131 1556170781 1719120601 5800272911 6407631331 29850184981 63803002021 70483944641 328352034791 1223857584221 13462433426431