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114758400065 = 5233313014801
BaseRepresentation
bin110101011100000100…
…0100011100001000001
3101222012201011202010112
41222320020203201001
53340011122300230
6124415210441105
711201551206641
oct1527010434101
9358181152115
10114758400065
114473a141551
121a2a8433195
13aa8b29764a
1457a9154521
152eb9c28d95
hex1ab8223841

114758400065 has 16 divisors (see below), whose sum is σ = 144131654016. Its totient is φ = 87549792000.

The previous prime is 114758400007. The next prime is 114758400073. The reversal of 114758400065 is 560004857411.

It is not a de Polignac number, because 114758400065 - 232 = 110463432769 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114758399995 and 114758400031.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1469336 + ... + 1545465.

It is an arithmetic number, because the mean of its divisors is an integer number (9008228376).

Almost surely, 2114758400065 is an apocalyptic number.

It is an amenable number.

114758400065 is a deficient number, since it is larger than the sum of its proper divisors (29373253951).

114758400065 is a wasteful number, since it uses less digits than its factorization.

114758400065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015160.

The product of its (nonzero) digits is 134400, while the sum is 41.

The spelling of 114758400065 in words is "one hundred fourteen billion, seven hundred fifty-eight million, four hundred thousand, sixty-five".

Divisors: 1 5 23 115 331 1655 7613 38065 3014801 15074005 69340423 346702115 997899131 4989495655 22951680013 114758400065