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14343395040 = 25325132173467
BaseRepresentation
bin11010101101110111…
…01101011011100000
31101000121121222000100
431112323231123200
5213333402120130
610331140422400
71015304563152
oct152673553340
941017558010
1014343395040
1160a0521a97
1229436a7a00
1314777c1900
149a0d44ad2
1558e364c60
hex356eed6e0

14343395040 has 432 divisors, whose sum is σ = 56135531088. Its totient is φ = 3322036224.

The previous prime is 14343395039. The next prime is 14343395117. The reversal of 14343395040 is 4059334341.

14343395040 is a `hidden beast` number, since 143 + 4 + 3 + 3 + 9 + 504 + 0 = 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 = 14343394986 and 14343395004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4135387 + ... + 4138853.

It is an arithmetic number, because the mean of its divisors is an integer number (129943359).

Almost surely, 214343395040 is an apocalyptic number.

14343395040 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 14343395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28067765544).

14343395040 is an abundant number, since it is smaller than the sum of its proper divisors (41792136048).

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

14343395040 is a wasteful number, since it uses less digits than its factorization.

14343395040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 14343395040 in words is "fourteen billion, three hundred forty-three million, three hundred ninety-five thousand, forty".