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14404214102431 = 251102156206961
BaseRepresentation
bin1101000110011011111000…
…0100001001100110011111
31220000000210110001220112011
43101212332010021212133
53341444312302234211
650345112110052051
73014445565466356
oct321467604114637
956000713056464
1014404214102431
11465387a38656a
1217477721aa027
13806408667c0a
1437b24c19899d
1519ea4775e921
hexd19be10999f

14404214102431 has 8 divisors (see below), whose sum is σ = 14475765821328. Its totient is φ = 14332774800000.

The previous prime is 14404214102407. The next prime is 14404214102479. The reversal of 14404214102431 is 13420141240441.

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 14404214102431 - 29 = 14404214101919 is a prime.

It is a super-2 number, since 2×144042141024312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14404214102393 and 14404214102402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14404214102401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27847210 + ... + 28359751.

It is an arithmetic number, because the mean of its divisors is an integer number (1809470727666).

Almost surely, 214404214102431 is an apocalyptic number.

14404214102431 is a deficient number, since it is larger than the sum of its proper divisors (71551718897).

14404214102431 is a wasteful number, since it uses less digits than its factorization.

14404214102431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56208233.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 14404214102431 its reverse (13420141240441), we get a palindrome (27824355342872).

The spelling of 14404214102431 in words is "fourteen trillion, four hundred four billion, two hundred fourteen million, one hundred two thousand, four hundred thirty-one".

Divisors: 1 251 1021 256271 56206961 14107947211 57387307181 14404214102431