Search a number
-
+
114833978976 = 2531196187281
BaseRepresentation
bin110101011110010100…
…0110111011001100000
3101222101222101112220110
41222330220313121200
53340134444311401
6124430510411320
711203456500423
oct1527450673140
9358358345813
10114833978976
1144778873062
121a309800b40
13aaa0b3a5b2
1457b51c99ba
152ec16a79d6
hex1abca37660

114833978976 has 24 divisors (see below), whose sum is σ = 301439195064. Its totient is φ = 38277992960.

The previous prime is 114833978971. The next prime is 114833978981. The reversal of 114833978976 is 679879338411.

It is an interprime number because it is at equal distance from previous prime (114833978971) and next prime (114833978981).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114833978971) 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 3 ways as a sum of consecutive naturals, for example, 598093545 + ... + 598093736.

It is an arithmetic number, because the mean of its divisors is an integer number (12559966461).

Almost surely, 2114833978976 is an apocalyptic number.

114833978976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114833978976 is an abundant number, since it is smaller than the sum of its proper divisors (186605216088).

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

114833978976 is a wasteful number, since it uses less digits than its factorization.

114833978976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196187294 (or 1196187286 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 66.

The spelling of 114833978976 in words is "one hundred fourteen billion, eight hundred thirty-three million, nine hundred seventy-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1196187281 2392374562 3588561843 4784749124 7177123686 9569498248 14354247372 19138996496 28708494744 38277992992 57416989488 114833978976