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114111744 = 283314793
BaseRepresentation
bin1101100110100…
…11010100000000
321221201110212220
412303103110000
5213203033434
615153451040
72553635205
oct663232400
9257643786
10114111744
115945a92a
1232270a80
131a844a56
1411225cac
15a040d49
hex6cd3500

114111744 has 72 divisors (see below), whose sum is σ = 313565952. Its totient is φ = 36802560.

The previous prime is 114111731. The next prime is 114111761. The reversal of 114111744 is 447111411.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 21412 + ... + 26204.

Almost surely, 2114111744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114111744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156782976).

114111744 is an abundant number, since it is smaller than the sum of its proper divisors (199454208).

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

114111744 is an equidigital number, since it uses as much as digits as its factorization.

114111744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843 (or 4829 counting only the distinct ones).

The product of its digits is 448, while the sum is 24.

The square root of 114111744 is about 10682.3098625719. The cubic root of 114111744 is about 485.0391352556.

The spelling of 114111744 in words is "one hundred fourteen million, one hundred eleven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 4793 5952 7936 9586 11904 14379 19172 23808 28758 38344 57516 76688 115032 148583 153376 230064 297166 306752 445749 460128 594332 613504 891498 920256 1188664 1227008 1782996 1840512 2377328 3565992 3681024 4754656 7131984 9509312 14263968 19018624 28527936 38037248 57055872 114111744