Search a number
-
+
114054528576 = 2634201141403
BaseRepresentation
bin110101000111000101…
…1011111111001000000
3101220101122201100222010
41222032023133321000
53332040424403301
6124221304212520
711145243332322
oct1521613377100
9356348640863
10114054528576
114440889847a
121a13076a140
13a9a8501041
14573d88d612
152e7803e5d6
hex1a8e2dfe40

114054528576 has 56 divisors (see below), whose sum is σ = 301843240864. Its totient is φ = 38008857600.

The previous prime is 114054528569. The next prime is 114054528593. The reversal of 114054528576 is 675825450411.

It is a happy number.

114054528576 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 (48).

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 7 ways as a sum of consecutive naturals, for example, 735891 + ... + 877293.

Almost surely, 2114054528576 is an apocalyptic number.

114054528576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114054528576 is an abundant number, since it is smaller than the sum of its proper divisors (187788712288).

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

114054528576 is a wasteful number, since it uses less digits than its factorization.

114054528576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145619 (or 145609 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

Adding to 114054528576 its reverse (675825450411), we get a palindrome (789879978987).

The spelling of 114054528576 in words is "one hundred fourteen billion, fifty-four million, five hundred twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 4201 8402 12603 16804 25206 33608 50412 67216 100824 134432 141403 201648 268864 282806 403296 424209 565612 806592 848418 1131224 1696836 2262448 3393672 4524896 6787344 9049792 13574688 27149376 594034003 1188068006 1782102009 2376136012 3564204018 4752272024 7128408036 9504544048 14256816072 19009088096 28513632144 38018176192 57027264288 114054528576