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13789043040 = 2535312167179
BaseRepresentation
bin11001101011110010…
…00001100101100000
31022120222111222000210
430311321001211200
5211214443334130
610200135014120
7665463634443
oct146571014540
938528458023
1013789043040
115936612143
122809b0a340
1313b99b9586
1494b48165a
1555a8625b0
hex335e41960

13789043040 has 288 divisors, whose sum is σ = 45402819840. Its totient is φ = 3517393920.

The previous prime is 13789043039. The next prime is 13789043063. The reversal of 13789043040 is 4034098731.

It is a self number, because there is not a number n which added to its sum of digits gives 13789043040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77033671 + ... + 77033849.

It is an arithmetic number, because the mean of its divisors is an integer number (157648680).

Almost surely, 213789043040 is an apocalyptic number.

13789043040 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 13789043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22701409920).

13789043040 is an abundant number, since it is smaller than the sum of its proper divisors (31613776800).

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

13789043040 is a wasteful number, since it uses less digits than its factorization.

13789043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 13789043040 in words is "thirteen billion, seven hundred eighty-nine million, forty-three thousand, forty".