Search a number
-
+
114014234232 = 2333598946503
BaseRepresentation
bin110101000101111000…
…1110010011001111000
3101220021211220012112000
41222023301302121320
53332000120443412
6124213304421000
711144244000153
oct1521361623170
9356254805460
10114014234232
1144398076768
121a11b177760
13a9a0063532
1457383a0c9a
152e747304dc
hex1a8bc72678

114014234232 has 64 divisors (see below), whose sum is σ = 322074144000. Its totient is φ = 37360592352.

The previous prime is 114014234219. The next prime is 114014234233. The reversal of 114014234232 is 232432410411.

114014234232 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 1 + 423 + 4 + 232 = 666.

114014234232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114014234196 and 114014234205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114014234233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4460508 + ... + 4485995.

It is an arithmetic number, because the mean of its divisors is an integer number (5032408500).

Almost surely, 2114014234232 is an apocalyptic number.

114014234232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114014234232 is an abundant number, since it is smaller than the sum of its proper divisors (208059909768).

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

114014234232 is a wasteful number, since it uses less digits than its factorization.

114014234232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8946577 (or 8946567 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114014234232 its reverse (232432410411), we get a palindrome (346446644643).

The spelling of 114014234232 in words is "one hundred fourteen billion, fourteen million, two hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 1062 1416 1593 2124 3186 4248 6372 12744 8946503 17893006 26839509 35786012 53679018 71572024 80518527 107358036 161037054 214716072 241555581 322074108 483111162 527843677 644148216 966222324 1055687354 1583531031 1932444648 2111374708 3167062062 4222749416 4750593093 6334124124 9501186186 12668248248 14251779279 19002372372 28503558558 38004744744 57007117116 114014234232