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14057730144 = 25345423507
BaseRepresentation
bin11010001011110011…
…11111000001100000
31100021201002200110000
431011321333001200
5212242234331034
610242533540000
71005235506663
oct150571770140
940251080400
1014057730144
115a642497a7
122883aa4600
131430572923
149750236da
15574238599
hex345e7f060

14057730144 has 60 divisors (see below), whose sum is σ = 41343401484. Its totient is φ = 4685909184.

The previous prime is 14057730139. The next prime is 14057730149. The reversal of 14057730144 is 44103775041.

14057730144 is a `hidden beast` number, since 1 + 40 + 577 + 3 + 0 + 1 + 44 = 666.

14057730144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14057730139) and next prime (14057730149).

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

It is a junction number, because it is equal to n+sod(n) for n = 14057730099 and 14057730108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14057730149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2709162 + ... + 2714345.

Almost surely, 214057730144 is an apocalyptic number.

It is an amenable number.

14057730144 is an abundant number, since it is smaller than the sum of its proper divisors (27285671340).

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

14057730144 is an equidigital number, since it uses as much as digits as its factorization.

14057730144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5423529 (or 5423512 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 14057730144 in words is "fourteen billion, fifty-seven million, seven hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 5423507 10847014 16270521 21694028 32541042 43388056 48811563 65082084 86776112 97623126 130164168 146434689 173552224 195246252 260328336 292869378 390492504 439304067 520656672 585738756 780985008 878608134 1171477512 1561970016 1757216268 2342955024 3514432536 4685910048 7028865072 14057730144