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114131988 = 22323170333
BaseRepresentation
bin1101100110110…
…00010000010100
321221202111122200
412303120100110
5213204210423
615154124500
72554051215
oct663302024
9257674580
10114131988
1159474063
1232280730
131a851029
141122d40c
15a046d43
hex6cd8414

114131988 has 18 divisors (see below), whose sum is σ = 288500394. Its totient is φ = 38043984.

The previous prime is 114131977. The next prime is 114131989. The reversal of 114131988 is 889131411.

It can be written as a sum of positive squares in only one way, i.e., 104284944 + 9847044 = 10212^2 + 3138^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1141319882 = 26052221369664288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3170333 = 114131988 / (1 + 1 + 4 + 1 + 3 + 1 + 9 + 8 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114131989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1585131 + ... + 1585202.

Almost surely, 2114131988 is an apocalyptic number.

114131988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114131988 is an abundant number, since it is smaller than the sum of its proper divisors (174368406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114131988 is a wasteful number, since it uses less digits than its factorization.

114131988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170343 (or 3170338 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 114131988 is about 10683.2573684247. The cubic root of 114131988 is about 485.0678163575.

The spelling of 114131988 in words is "one hundred fourteen million, one hundred thirty-one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3170333 6340666 9510999 12681332 19021998 28532997 38043996 57065994 114131988