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114616431 = 3317673727
BaseRepresentation
bin1101101010011…
…10100001101111
321222200010012000
412311032201233
5213320211211
615212343343
72561136456
oct665164157
9258603160
10114616431
1159775026
1232474b53
131a990697
1411317b9d
15a0e0656
hex6d4e86f

114616431 has 32 divisors (see below), whose sum is σ = 182522880. Its totient is φ = 70823808.

The previous prime is 114616427. The next prime is 114616433. The reversal of 114616431 is 134616411.

114616431 is a `hidden beast` number, since 1 + 1 + 4 + 616 + 43 + 1 = 666.

It is not a de Polignac number, because 114616431 - 22 = 114616427 is a prime.

It is a super-2 number, since 2×1146164312 = 26273852510355522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114616395 and 114616404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114616433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28890 + ... + 32616.

It is an arithmetic number, because the mean of its divisors is an integer number (5703840).

Almost surely, 2114616431 is an apocalyptic number.

114616431 is a deficient number, since it is larger than the sum of its proper divisors (67906449).

114616431 is a wasteful number, since it uses less digits than its factorization.

114616431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3814 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 114616431 is about 10705.9063605096. The cubic root of 114616431 is about 485.7531515818.

The spelling of 114616431 in words is "one hundred fourteen million, six hundred sixteen thousand, four hundred thirty-one".

Divisors: 1 3 9 17 27 51 67 153 201 459 603 1139 1809 3417 3727 10251 11181 30753 33543 63359 100629 190077 249709 570231 749127 1710693 2247381 4245053 6742143 12735159 38205477 114616431