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14035991040 = 2937523109
BaseRepresentation
bin11010001001001110…
…00011101000000000
31100020012012020000000
431010213003220000
5212221203203130
610240440000000
71004552645451
oct150447035000
940205166000
1014035991040
115a52a508a5
122878760000
131428c00a56
149721a5128
15572392260
hex3449c3a00

14035991040 has 640 divisors, whose sum is σ = 53150169600. Its totient is φ = 3547348992.

The previous prime is 14035990999. The next prime is 14035991041. The reversal of 14035991040 is 4019953041.

It is a happy number.

14035991040 is a `hidden beast` number, since 14 + 0 + 3 + 599 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 14035990986 and 14035991004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14035991041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128770506 + ... + 128770614.

It is an arithmetic number, because the mean of its divisors is an integer number (83047140).

Almost surely, 214035991040 is an apocalyptic number.

14035991040 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 14035991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26575084800).

14035991040 is an abundant number, since it is smaller than the sum of its proper divisors (39114178560).

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

14035991040 is an frugal number, since it uses more digits than its factorization.

14035991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 14035991040 in words is "fourteen billion, thirty-five million, nine hundred ninety-one thousand, forty".