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13044810240 = 293457111943
BaseRepresentation
bin11000010011000100…
…00000001000000000
31020200010010000120000
430021202000020000
5203203432411430
65554231320000
7641156025510
oct141142001000
936603100500
1013044810240
115594501010
122640820000
1312cb760b37
148ba6b1840
15515353e60
hex309880200

13044810240 has 1600 divisors, whose sum is σ = 62743127040. Its totient is φ = 2508226560.

The previous prime is 13044810239. The next prime is 13044810253. The reversal of 13044810240 is 4201844031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 303367659 + ... + 303367701.

Almost surely, 213044810240 is an apocalyptic number.

13044810240 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 13044810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31371563520).

13044810240 is an abundant number, since it is smaller than the sum of its proper divisors (49698316800).

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

13044810240 is a wasteful number, since it uses less digits than its factorization.

13044810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 13044810240 in words is "thirteen billion, forty-four million, eight hundred ten thousand, two hundred forty".