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14422400422441 = 112432771939347
BaseRepresentation
bin1101000111011111101000…
…0011011101001000101001
31220001202201212211200112221
43101313322003131020221
53342244034002004231
650401320450034041
73015661345611454
oct321677203351051
956052655750487
1014422400422441
114660562057a00
12174b1a8878921
13808046372c0b
1437c09564649b
151a025e16dd11
hexd1dfa0dd229

14422400422441 has 12 divisors (see below), whose sum is σ = 16221389064496. Its totient is φ = 12806359778520.

The previous prime is 14422400422363. The next prime is 14422400422447.

14422400422441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14422400422441 - 225 = 14422366868009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14422400422397 and 14422400422406.

It is not an unprimeable number, because it can be changed into a prime (14422400422447) 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 11 ways as a sum of consecutive naturals, for example, 1385964471 + ... + 1385974876.

Almost surely, 214422400422441 is an apocalyptic number.

14422400422441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14422400422441 is a deficient number, since it is larger than the sum of its proper divisors (1798988642055).

14422400422441 is a wasteful number, since it uses less digits than its factorization.

14422400422441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771939412 (or 2771939401 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

It can be divided in two parts, 14422400 and 422441, that added together give a palindrome (14844841).

The spelling of 14422400422441 in words is "fourteen trillion, four hundred twenty-two billion, four hundred million, four hundred twenty-two thousand, four hundred forty-one".

Divisors: 1 11 43 121 473 5203 2771939347 30491332817 119193391921 335404660987 1311127311131 14422400422441