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14139498240 = 283357211277
BaseRepresentation
bin11010010101100011…
…11001111100000000
31100111101221221012000
431022301321330000
5212424202420430
610255014304000
71010250515640
oct151261717400
940441857160
1014139498240
115aa641833a
1228a7358000
1314444a1a0a
14981c2a520
1557b4dae60
hex34ac79f00

14139498240 has 576 divisors, whose sum is σ = 57823288320. Its totient is φ = 3204956160.

The previous prime is 14139498227. The next prime is 14139498259. The reversal of 14139498240 is 4289493141.

14139498240 is a `hidden beast` number, since 1 + 4 + 139 + 498 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 51044982 + ... + 51045258.

Almost surely, 214139498240 is an apocalyptic number.

14139498240 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 14139498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28911644160).

14139498240 is an abundant number, since it is smaller than the sum of its proper divisors (43683790080).

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

14139498240 is a wasteful number, since it uses less digits than its factorization.

14139498240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 14139498240 in words is "fourteen billion, one hundred thirty-nine million, four hundred ninety-eight thousand, two hundred forty".