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13440004431 = 373757130293
BaseRepresentation
bin11001000010001011…
…00011000101001111
31021200122201222001220
430201011203011033
5210011120120211
610101345534423
7654025103250
oct144105430517
937618658056
1013440004431
115777594287
122731044413
1313625abb59
14916d84b27
15539db8806
hex32116314f

13440004431 has 32 divisors (see below), whose sum is σ = 21071052288. Its totient is φ = 7459102080.

The previous prime is 13440004429. The next prime is 13440004439.

13440004431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13440004431 - 21 = 13440004429 is a prime.

It is a super-2 number, since 2×134400044312 (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 (13440004439) 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, 428521 + ... + 458813.

It is an arithmetic number, because the mean of its divisors is an integer number (658470384).

Almost surely, 213440004431 is an apocalyptic number.

13440004431 is a deficient number, since it is larger than the sum of its proper divisors (7631047857).

13440004431 is a wasteful number, since it uses less digits than its factorization.

13440004431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30911.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 1344000 and 4431, that added together give a palindrome (1348431).

The spelling of 13440004431 in words is "thirteen billion, four hundred forty million, four thousand, four hundred thirty-one".

Divisors: 1 3 7 21 37 111 259 571 777 1713 3997 11991 21127 30293 63381 90879 147889 212051 443667 636153 1120841 3362523 7845887 17297303 23537661 51891909 121081121 363243363 640000211 1920000633 4480001477 13440004431