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13134222334044 = 22327285728972999
BaseRepresentation
bin1011111100100000110010…
…1010000001100001011100
31201111121201112111120022200
42333020030222001201130
53210142341404142134
643533440051011500
72523626162536500
oct277101452014134
951447645446280
1013134222334044
11420421310a999
121581600599b90
13743723558556
143359b219c300
1517b9b803c499
hexbf20ca8185c

13134222334044 has 216 divisors, whose sum is σ = 38692177524000. Its totient is φ = 3745712904192.

The previous prime is 13134222334033. The next prime is 13134222334049. The reversal of 13134222334044 is 44043322243131.

13134222334044 is a `hidden beast` number, since 1 + 3 + 1 + 342 + 2 + 233 + 40 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134222334049) 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 71 ways as a sum of consecutive naturals, for example, 4379532457 + ... + 4379535455.

It is an arithmetic number, because the mean of its divisors is an integer number (179130451500).

Almost surely, 213134222334044 is an apocalyptic number.

13134222334044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13134222334044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19346088762000).

13134222334044 is an abundant number, since it is smaller than the sum of its proper divisors (25557955189956).

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

13134222334044 is a wasteful number, since it uses less digits than its factorization.

13134222334044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777 (or 6765 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 13134222334044 its reverse (44043322243131), we get a palindrome (57177544577175).

The spelling of 13134222334044 in words is "thirteen trillion, one hundred thirty-four billion, two hundred twenty-two million, three hundred thirty-four thousand, forty-four".