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14801354161 = 1121011211141
BaseRepresentation
bin11011100100011101…
…01011110110110001
31102012112100200211021
431302032223312301
5220303121313121
610444420215441
71032535302016
oct156216536661
942175320737
1014801354161
116305a84500
122a50b3a581
13151b647239
14a05ab570d
155b9676641
hex3723abdb1

14801354161 has 12 divisors (see below), whose sum is σ = 16430352372. Its totient is φ = 13322540000.

The previous prime is 14801354143. The next prime is 14801354171. The reversal of 14801354161 is 16145310841.

It can be written as a sum of positive squares in 2 ways, for example, as 9158490000 + 5642864161 = 95700^2 + 75119^2 .

It is not a de Polignac number, because 14801354161 - 213 = 14801345969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14801354171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 593350 + ... + 617791.

It is an arithmetic number, because the mean of its divisors is an integer number (1369196031).

Almost surely, 214801354161 is an apocalyptic number.

14801354161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14801354161 is a deficient number, since it is larger than the sum of its proper divisors (1628998211).

14801354161 is a wasteful number, since it uses less digits than its factorization.

14801354161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211264 (or 1211253 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 14801354161 in words is "fourteen billion, eight hundred one million, three hundred fifty-four thousand, one hundred sixty-one".

Divisors: 1 11 101 121 1111 12221 1211141 13322551 122325241 146548061 1345577651 14801354161