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11414431104 = 27329725081
BaseRepresentation
bin10101010000101101…
…00110010110000000
31002110111021011211120
422220112212112000
5141334043243404
65124350512240
7552601030536
oct125026462600
932414234746
1011414431104
11492817003a
122266805680
1310cba4c65b
147a3d50156
1546c1539d9
hex2a85a6580

11414431104 has 32 divisors (see below), whose sum is σ = 30319583640. Its totient is φ = 3804810240.

The previous prime is 11414431079. The next prime is 11414431121. The reversal of 11414431104 is 40113441411.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14862157 + ... + 14862924.

Almost surely, 211414431104 is an apocalyptic number.

It is an amenable number.

11414431104 is an abundant number, since it is smaller than the sum of its proper divisors (18905152536).

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

11414431104 is an equidigital number, since it uses as much as digits as its factorization.

11414431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29725098 (or 29725086 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11414431104 its reverse (40113441411), we get a palindrome (51527872515).

The spelling of 11414431104 in words is "eleven billion, four hundred fourteen million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 29725081 59450162 89175243 118900324 178350486 237800648 356700972 475601296 713401944 951202592 1426803888 1902405184 2853607776 3804810368 5707215552 11414431104