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14102056656 = 243297930949
BaseRepresentation
bin11010010001000110…
…00100111011010000
31100101210111200222200
431020203010323100
5212340111303111
610251200003200
71006314334542
oct151043047320
940353450880
1014102056656
115a87274986
122896900500
1314397c282c
1497ac81692
15578092256
hex3488c4ed0

14102056656 has 30 divisors (see below), whose sum is σ = 39466172850. Its totient is φ = 4700685504.

The previous prime is 14102056627. The next prime is 14102056691. The reversal of 14102056656 is 65665020141.

14102056656 is a `hidden beast` number, since 1 + 41 + 0 + 2 + 0 + 566 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11645863056 + 2456193600 = 107916^2 + 49560^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14102056656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48965331 + ... + 48965618.

It is an arithmetic number, because the mean of its divisors is an integer number (1315539095).

Almost surely, 214102056656 is an apocalyptic number.

14102056656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14102056656 is an abundant number, since it is smaller than the sum of its proper divisors (25364116194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14102056656 is a wasteful number, since it uses less digits than its factorization.

14102056656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97930963 (or 97930954 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 14102056656 its reverse (65665020141), we get a palindrome (79767076797).

The spelling of 14102056656 in words is "fourteen billion, one hundred two million, fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 97930949 195861898 293792847 391723796 587585694 783447592 881378541 1175171388 1566895184 1762757082 2350342776 3525514164 4700685552 7051028328 14102056656