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114446112 = 25311108377
BaseRepresentation
bin1101101001001…
…00111100100000
321222100110112220
412310210330200
5213244233422
615204551040
72556530064
oct664447440
9258313486
10114446112
1159669070
12323b2480
131a930cc1
14112b1aa4
15a0a9e5c
hex6d24f20

114446112 has 48 divisors (see below), whose sum is σ = 327735072. Its totient is φ = 34680320.

The previous prime is 114446099. The next prime is 114446147. The reversal of 114446112 is 211644411.

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, 53133 + ... + 55244.

It is an arithmetic number, because the mean of its divisors is an integer number (6827814).

Almost surely, 2114446112 is an apocalyptic number.

114446112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114446112 is an abundant number, since it is smaller than the sum of its proper divisors (213288960).

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

114446112 is a wasteful number, since it uses less digits than its factorization.

114446112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108401 (or 108393 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 114446112 is about 10697.9489623011. The cubic root of 114446112 is about 485.5124240109.

The spelling of 114446112 in words is "one hundred fourteen million, four hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 108377 216754 325131 433508 650262 867016 1192147 1300524 1734032 2384294 2601048 3468064 3576441 4768588 5202096 7152882 9537176 10404192 14305764 19074352 28611528 38148704 57223056 114446112