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114234144 = 2534327673
BaseRepresentation
bin1101100111100…
…01001100100000
321221221200210020
412303301030200
5213220443034
615200233440
72554655103
oct663611440
9257850706
10114234144
1159533892
123230b880
131a88868b
141125873a
15a067249
hex6cf1320

114234144 has 48 divisors (see below), whose sum is σ = 306849312. Its totient is φ = 37191168.

The previous prime is 114234139. The next prime is 114234157. The reversal of 114234144 is 441432411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9709 + ... + 17964.

It is an arithmetic number, because the mean of its divisors is an integer number (6392694).

Almost surely, 2114234144 is an apocalyptic number.

It is an amenable number.

114234144 is an abundant number, since it is smaller than the sum of its proper divisors (192615168).

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

114234144 is a wasteful number, since it uses less digits than its factorization.

114234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27729 (or 27721 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 114234144 is about 10688.0374250842. The cubic root of 114234144 is about 485.2124962488.

Adding to 114234144 its reverse (441432411), we get a palindrome (555666555).

The spelling of 114234144 in words is "one hundred fourteen million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 27673 55346 83019 110692 166038 221384 332076 442768 664152 885536 1189939 1328304 2379878 2656608 3569817 4759756 7139634 9519512 14279268 19039024 28558536 38078048 57117072 114234144