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114232944 = 24371272677
BaseRepresentation
bin1101100111100…
…00111001110000
321221221122010210
412303300321300
5213220423234
615200224120
72554651440
oct663607160
9257848123
10114232944
11595329a1
123230b040
131a887c77
1411258120
15a066be9
hex6cf0e70

114232944 has 80 divisors (see below), whose sum is σ = 340041728. Its totient is φ = 32368896.

The previous prime is 114232933. The next prime is 114232961. The reversal of 114232944 is 449232411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41334 + ... + 44010.

Almost surely, 2114232944 is an apocalyptic number.

114232944 is a gapful number since it is divisible by the number (14) 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 114232944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170020864).

114232944 is an abundant number, since it is smaller than the sum of its proper divisors (225808784).

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

114232944 is a wasteful number, since it uses less digits than its factorization.

114232944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2816 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 114232944 is about 10687.9812874088. The cubic root of 114232944 is about 485.2107972325.

The spelling of 114232944 in words is "one hundred fourteen million, two hundred thirty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 508 762 889 1016 1524 1778 2032 2667 2677 3048 3556 5334 5354 6096 7112 8031 10668 10708 14224 16062 18739 21336 21416 32124 37478 42672 42832 56217 64248 74956 112434 128496 149912 224868 299824 339979 449736 679958 899472 1019937 1359916 2039874 2379853 2719832 4079748 4759706 5439664 7139559 8159496 9519412 14279118 16318992 19038824 28558236 38077648 57116472 114232944