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114412010024 = 23131100115481
BaseRepresentation
bin110101010001101111…
…1001011101000101000
3101221022120101022022202
41222203133023220220
53333303433310044
6124320554235332
711160144016304
oct1524337135050
9357276338282
10114412010024
1144581662594
121a210425b48
13aa345a6620
145775146d04
152e99604c4e
hex1aa37cba28

114412010024 has 16 divisors (see below), whose sum is σ = 231024251220. Its totient is φ = 52805543040.

The previous prime is 114412009997. The next prime is 114412010039. The reversal of 114412010024 is 420010214411.

It can be written as a sum of positive squares in 2 ways, for example, as 105093969124 + 9318040900 = 324182^2 + 96530^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114412009978 and 114412010005.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 550057637 + ... + 550057844.

Almost surely, 2114412010024 is an apocalyptic number.

It is an amenable number.

114412010024 is an abundant number, since it is smaller than the sum of its proper divisors (116612241196).

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

114412010024 is a wasteful number, since it uses less digits than its factorization.

114412010024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100115500 (or 1100115496 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 114412010024 its reverse (420010214411), we get a palindrome (534422224435).

The spelling of 114412010024 in words is "one hundred fourteen billion, four hundred twelve million, ten thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 104 1100115481 2200230962 4400461924 8800923848 14301501253 28603002506 57206005012 114412010024