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14430496129 = 721314
BaseRepresentation
bin11010111000001111…
…11110010110000001
31101020200112011020121
431130013332112001
5214023201334004
610343531340241
71020413123200
oct153407762601
941220464217
1014430496129
116135703365
1229688b1681
13148c86a20a
149ac739237
15596d1c854
hex35c1fe581

14430496129 has 15 divisors (see below), whose sum is σ = 16915622385. Its totient is φ = 12274576860.

The previous prime is 14430496111. The next prime is 14430496139. The reversal of 14430496129 is 92169403441.

The square root of 14430496129 is 120127.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 14430496129 - 223 = 14422107521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14430496139) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 110156394 + ... + 110156524.

It is an arithmetic number, because the mean of its divisors is an integer number (1127708159).

Almost surely, 214430496129 is an apocalyptic number.

14430496129 is the 120127-th square number.

14430496129 is the 60064-th centered octagonal number.

It is an amenable number.

14430496129 is a deficient number, since it is larger than the sum of its proper divisors (2485126256).

14430496129 is an frugal number, since it uses more digits than its factorization.

14430496129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 14430496129 in words is "fourteen billion, four hundred thirty million, four hundred ninety-six thousand, one hundred twenty-nine".

Divisors: 1 7 49 131 917 6419 17161 120127 840889 2248091 15736637 110156459 294499921 2061499447 14430496129