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114057376479 = 343145423089
BaseRepresentation
bin110101000111001011…
…0010111001011011111
3101220101212002001120000
41222032112113023133
53332042142021404
6124221445225343
711145306463254
oct1521626271337
9356355061500
10114057376479
114440a463112
121a131702253
13a9a8c8a3a7
14573ddd142b
152e78403339
hex1a8e5972df

114057376479 has 20 divisors (see below), whose sum is σ = 175878204480. Its totient is φ = 73585402560.

The previous prime is 114057376403. The next prime is 114057376513. The reversal of 114057376479 is 974673750411.

114057376479 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 573 + 7 + 64 + 7 + 9 = 666.

It is not a de Polignac number, because 114057376479 - 216 = 114057310943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114057376079) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22709034 + ... + 22714055.

It is an arithmetic number, because the mean of its divisors is an integer number (8793910224).

Almost surely, 2114057376479 is an apocalyptic number.

114057376479 is a deficient number, since it is larger than the sum of its proper divisors (61820828001).

114057376479 is an equidigital number, since it uses as much as digits as its factorization.

114057376479 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45423132 (or 45423123 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 114057376479 in words is "one hundred fourteen billion, fifty-seven million, three hundred seventy-six thousand, four hundred seventy-nine".

Divisors: 1 3 9 27 31 81 93 279 837 2511 45423089 136269267 408807801 1226423403 1408115759 3679270209 4224347277 12673041831 38019125493 114057376479