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114412319 = 7195316231
BaseRepresentation
bin1101101000111…
…00101100011111
321222021202012022
412310130230133
5213242143234
615204130355
72556326420
oct664345437
9258252168
10114412319
115964573a
12323969bb
131a91b7c8
14112a3647
15a09ee2e
hex6d1cb1f

114412319 has 16 divisors (see below), whose sum is σ = 140244480. Its totient is φ = 91147680.

The previous prime is 114412307. The next prime is 114412343. The reversal of 114412319 is 913214411.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 114412319 - 28 = 114412063 is a prime.

It is a super-2 number, since 2×1144123192 = 26180357477915522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114412219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1067 + ... + 15164.

It is an arithmetic number, because the mean of its divisors is an integer number (8765280).

Almost surely, 2114412319 is an apocalyptic number.

114412319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

114412319 is a deficient number, since it is larger than the sum of its proper divisors (25832161).

114412319 is a wasteful number, since it uses less digits than its factorization.

114412319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16310.

The product of its digits is 864, while the sum is 26.

The square root of 114412319 is about 10696.3694307929. The cubic root of 114412319 is about 485.4646328535.

The spelling of 114412319 in words is "one hundred fourteen million, four hundred twelve thousand, three hundred nineteen".

Divisors: 1 7 19 53 133 371 1007 7049 16231 113617 308389 860243 2158723 6021701 16344617 114412319