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14065489152 = 2832112133881
BaseRepresentation
bin11010001100101111…
…00101010100000000
31100022020200212210200
431012113211110000
5212301231123102
610243412125200
71005361454001
oct150627452400
940266625720
1014065489152
115a68669200
122886606800
13143205b460
149760831a8
15574c6c51c
hex3465e5500

14065489152 has 324 divisors, whose sum is σ = 48017490612. Its totient is φ = 3933388800.

The previous prime is 14065489133. The next prime is 14065489159. The reversal of 14065489152 is 25198456041.

14065489152 is a `hidden beast` number, since 14 + 0 + 6 + 5 + 489 + 152 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5232496896 + 8832992256 = 72336^2 + 93984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14065489098 and 14065489107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14065489159) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3622252 + ... + 3626132.

Almost surely, 214065489152 is an apocalyptic number.

14065489152 is a gapful number since it is divisible by the number (12) 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 14065489152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24008745306).

14065489152 is an abundant number, since it is smaller than the sum of its proper divisors (33952001460).

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

14065489152 is a wasteful number, since it uses less digits than its factorization.

14065489152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 14065489152 in words is "fourteen billion, sixty-five million, four hundred eighty-nine thousand, one hundred fifty-two".