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13044011312040 = 23351943181735071
BaseRepresentation
bin1011110111010000101110…
…1010010010001110101000
31201011222212120112211102120
42331310023222102032220
53202203113343441130
643424200331431240
72514253521521442
oct275641352221650
951158776484376
1013044011312040
114179a30368955
121568024bb5520
13738077ac01a7
1433149524d492
151794883ca910
hexbdd0ba923a8

13044011312040 has 256 divisors, whose sum is σ = 42382487347200. Its totient is φ = 3200906419200.

The previous prime is 13044011312023. The next prime is 13044011312063. The reversal of 13044011312040 is 4021311044031.

13044011312040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130440113120402 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13044011312040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17377705 + ... + 18112775.

It is an arithmetic number, because the mean of its divisors is an integer number (165556591200).

Almost surely, 213044011312040 is an apocalyptic number.

13044011312040 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 13044011312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21191243673600).

13044011312040 is an abundant number, since it is smaller than the sum of its proper divisors (29338476035160).

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

13044011312040 is a wasteful number, since it uses less digits than its factorization.

13044011312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735328 (or 735324 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13044011312040 its reverse (4021311044031), we get a palindrome (17065322356071).

The spelling of 13044011312040 in words is "thirteen trillion, forty-four billion, eleven million, three hundred twelve thousand, forty".