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114820411008 = 2731717588911
BaseRepresentation
bin110101011101111010…
…1000110111010000000
3101222101000212020011010
41222323311012322000
53340123011123013
6124425303520520
711203233250602
oct1527365067200
9358330766133
10114820411008
1144771146266
121a305159140
13aa9b099a04
1457b3497172
152ec03c77c3
hex1abbd46e80

114820411008 has 64 divisors (see below), whose sum is σ = 322932424320. Its totient is φ = 36022087680.

The previous prime is 114820411007. The next prime is 114820411019. The reversal of 114820411008 is 800114028411.

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

It is not an unprimeable number, because it can be changed into a prime (114820411007) 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 7 ways as a sum of consecutive naturals, for example, 8787928 + ... + 8800983.

It is an arithmetic number, because the mean of its divisors is an integer number (5045819130).

Almost surely, 2114820411008 is an apocalyptic number.

It is an amenable number.

114820411008 is an abundant number, since it is smaller than the sum of its proper divisors (208112013312).

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

114820411008 is a wasteful number, since it uses less digits than its factorization.

114820411008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17588945 (or 17588933 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

Adding to 114820411008 its reverse (800114028411), we get a palindrome (914934439419).

The spelling of 114820411008 in words is "one hundred fourteen billion, eight hundred twenty million, four hundred eleven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 17588911 35177822 52766733 70355644 105533466 140711288 211066932 281422576 299011487 422133864 562845152 598022974 844267728 897034461 1125690304 1196045948 1688535456 1794068922 2251380608 2392091896 3377070912 3588137844 4784183792 6754141824 7176275688 9568367584 14352551376 19136735168 28705102752 38273470336 57410205504 114820411008