Search a number
-
+
114062759552 = 277181703327
BaseRepresentation
bin110101000111010101…
…0111001011010000000
3101220102020012112202002
41222032222321122000
53332100031301202
6124222200443132
711145403313330
oct1521652713200
9356366175662
10114062759552
11444124aa535
121a1334794a8
13a9aa123641
1457409d30c0
152e78b18302
hex1a8eab9680

114062759552 has 64 divisors (see below), whose sum is σ = 261131619840. Its totient is φ = 48613893120.

The previous prime is 114062759543. The next prime is 114062759561. The reversal of 114062759552 is 255957260411.

It is an interprime number because it is at equal distance from previous prime (114062759543) and next prime (114062759561).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 114062759497 and 114062759506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189488 + ... + 513839.

It is an arithmetic number, because the mean of its divisors is an integer number (4080181560).

Almost surely, 2114062759552 is an apocalyptic number.

It is an amenable number.

114062759552 is an abundant number, since it is smaller than the sum of its proper divisors (147068860288).

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

114062759552 is an equidigital number, since it uses as much as digits as its factorization.

114062759552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703529 (or 703517 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 47.

The spelling of 114062759552 in words is "one hundred fourteen billion, sixty-two million, seven hundred fifty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 181 224 362 448 724 896 1267 1448 2534 2896 5068 5792 10136 11584 20272 23168 40544 81088 162176 703327 1406654 2813308 4923289 5626616 9846578 11253232 19693156 22506464 39386312 45012928 78772624 90025856 127302187 157545248 254604374 315090496 509208748 630180992 891115309 1018417496 1782230618 2036834992 3564461236 4073669984 7128922472 8147339968 14257844944 16294679936 28515689888 57031379776 114062759552