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1134134414304 = 25311813900149
BaseRepresentation
bin10000100000001111101…
…011011100101111100000
311000102101202222200022120
4100200033223130233200
5122040201402224204
62225003020304240
7144636623314263
oct20401753345740
94012352880276
101134134414304
113a7a90345751
121639773a2080
1382c43894868
143cc6ca54cda
151e77c5516d9
hex1080fadcbe0

1134134414304 has 24 divisors (see below), whose sum is σ = 2977102837800. Its totient is φ = 378044804736.

The previous prime is 1134134414251. The next prime is 1134134414311. The reversal of 1134134414304 is 4034144314311.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 5906949979 + ... + 5906950170.

It is an arithmetic number, because the mean of its divisors is an integer number (124045951575).

Almost surely, 21134134414304 is an apocalyptic number.

It is an amenable number.

1134134414304 is an abundant number, since it is smaller than the sum of its proper divisors (1842968423496).

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

1134134414304 is a wasteful number, since it uses less digits than its factorization.

1134134414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11813900162 (or 11813900154 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 1134134414304 its reverse (4034144314311), we get a palindrome (5168278728615).

The spelling of 1134134414304 in words is "one trillion, one hundred thirty-four billion, one hundred thirty-four million, four hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 11813900149 23627800298 35441700447 47255600596 70883400894 94511201192 141766801788 189022402384 283533603576 378044804768 567067207152 1134134414304