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14059319040 = 28365131961
BaseRepresentation
bin11010001100000000…
…00010111100000000
31100021211002102000000
431012000002330000
5212243141202130
610243032000000
71005255145224
oct150600027400
940254072000
1014059319040
115a65134538
122884530000
1314309aabc0
14975318784
1557444e260
hex346002f00

14059319040 has 1008 divisors, whose sum is σ = 58175755680. Its totient is φ = 3224862720.

The previous prime is 14059319011. The next prime is 14059319077. The reversal of 14059319040 is 4091395041.

It is a happy number.

14059319040 is a `hidden beast` number, since 14 + 0 + 593 + 19 + 0 + 40 = 666.

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 = 14059318986 and 14059319004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 230480610 + ... + 230480670.

Almost surely, 214059319040 is an apocalyptic number.

14059319040 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 14059319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29087877840).

14059319040 is an abundant number, since it is smaller than the sum of its proper divisors (44116436640).

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

14059319040 is an equidigital number, since it uses as much as digits as its factorization.

14059319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 103 counting only the distinct ones).

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

The spelling of 14059319040 in words is "fourteen billion, fifty-nine million, three hundred nineteen thousand, forty".