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13044344131000 = 2353713236232367
BaseRepresentation
bin1011110111010001111101…
…1111111000110110111000
31201012000201202210210012201
42331310133133320312320
53202204304044143000
643424253341115544
72514265002450220
oct275643737706670
951160652723181
1013044344131000
11417a091218746
1215680b8558bb4
137380cba3c0a0
143314c7527080
151794a771d96a
hexbdd1f7f8db8

13044344131000 has 256 divisors, whose sum is σ = 39201096130560. Its totient is φ = 3948827097600.

The previous prime is 13044344130991. The next prime is 13044344131003. The reversal of 13044344131000 is 13144344031.

It is a happy number.

It is a super-2 number, since 2×130443441310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 13044344131000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044344131003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1023184 + ... + 5209183.

It is an arithmetic number, because the mean of its divisors is an integer number (153129281760).

Almost surely, 213044344131000 is an apocalyptic number.

13044344131000 is a gapful number since it is divisible by the number (10) 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 13044344131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19600548065280).

13044344131000 is an abundant number, since it is smaller than the sum of its proper divisors (26156751999560).

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

13044344131000 is a wasteful number, since it uses less digits than its factorization.

13044344131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232431 (or 6232417 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13044344131000 its reverse (13144344031), we get a palindrome (13057488475031).

The spelling of 13044344131000 in words is "thirteen trillion, forty-four billion, three hundred forty-four million, one hundred thirty-one thousand".