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114471142013 = 1723710705241
BaseRepresentation
bin110101010011100000…
…0110000001001111101
3101221110200122112011102
41222213000300021331
53333414103021023
6124330505502445
711161462436624
oct1524700601175
9357420575142
10114471142013
1144601a802a8
121a2281a1a25
13aa4390b477
14577cd3a6bb
152e9e8d5628
hex1aa703027d

114471142013 has 12 divisors (see below), whose sum is σ = 124887353172. Its totient is φ = 104825710080.

The previous prime is 114471141977. The next prime is 114471142021. The reversal of 114471142013 is 310241174411.

It can be written as a sum of positive squares in 6 ways, for example, as 26512631929 + 87958510084 = 162827^2 + 296578^2 .

It is not a de Polignac number, because 114471142013 - 216 = 114471076477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114471142043) 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 11 ways as a sum of consecutive naturals, for example, 5341928 + ... + 5363313.

It is an arithmetic number, because the mean of its divisors is an integer number (10407279431).

Almost surely, 2114471142013 is an apocalyptic number.

It is an amenable number.

114471142013 is a deficient number, since it is larger than the sum of its proper divisors (10416211159).

114471142013 is a wasteful number, since it uses less digits than its factorization.

114471142013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10705312 (or 10705295 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The spelling of 114471142013 in words is "one hundred fourteen billion, four hundred seventy-one million, one hundred forty-two thousand, thirteen".

Divisors: 1 17 37 289 629 10693 10705241 181989097 396093917 3093814649 6733596589 114471142013