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114044040 = 233251131929
BaseRepresentation
bin1101100110000…
…10110010001000
321221121001000100
412303002302020
5213143402130
615152205400
72553233625
oct663026210
9257531010
10114044040
1159413a80
1232239860
131a81cca6
141120934c
15a02ac60
hex6cc2c88

114044040 has 192 divisors, whose sum is σ = 417830400. Its totient is φ = 26726400.

The previous prime is 114044017. The next prime is 114044057. The reversal of 114044040 is 40440411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 122296 + ... + 123224.

It is an arithmetic number, because the mean of its divisors is an integer number (2176200).

Almost surely, 2114044040 is an apocalyptic number.

114044040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

114044040 is an abundant number, since it is smaller than the sum of its proper divisors (303786360).

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

114044040 is a wasteful number, since it uses less digits than its factorization.

114044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 114044040 is about 10679.1404148461. The cubic root of 114044040 is about 484.9431895763.

Adding to 114044040 its reverse (40440411), we get a palindrome (154484451).

It can be divided in two parts, 1 and 14044040, that added together give a palindrome (14044041).

The spelling of 114044040 in words is "one hundred fourteen million, forty-four thousand, forty".