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11134242432 = 27329665141
BaseRepresentation
bin10100101111010011…
…10000111010000000
31001201222001010020100
422113221300322000
5140300331224212
65040501242400
7542626333125
oct122751607200
931658033210
1011134242432
1147a3a98155
1221a8a03400
13108599a141
14778a5674c
15452759bdc
hex297a70e80

11134242432 has 48 divisors (see below), whose sum is σ = 32039945730. Its totient is φ = 3711413760.

The previous prime is 11134242401. The next prime is 11134242451. The reversal of 11134242432 is 23424243111.

It can be written as a sum of positive squares in only one way, i.e., 7092334656 + 4041907776 = 84216^2 + 63576^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11134242396 and 11134242405.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4831419 + ... + 4833722.

Almost surely, 211134242432 is an apocalyptic number.

11134242432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11134242432 is an abundant number, since it is smaller than the sum of its proper divisors (20905703298).

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

11134242432 is an equidigital number, since it uses as much as digits as its factorization.

11134242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9665161 (or 9665146 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 11134242432 its reverse (23424243111), we get a palindrome (34558485543).

The spelling of 11134242432 in words is "eleven billion, one hundred thirty-four million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 9665141 19330282 28995423 38660564 57990846 77321128 86986269 115981692 154642256 173972538 231963384 309284512 347945076 463926768 618569024 695890152 927853536 1237138048 1391780304 1855707072 2783560608 3711414144 5567121216 11134242432