Search a number
-
+
14091336000 = 263253773383
BaseRepresentation
bin11010001111110100…
…01011100101000000
31100101001100001000100
431013322023211000
5212324340223000
610250134122400
71006124244150
oct150772134500
940331301010
1014091336000
115a81212335
1228931b0400
13143750ac51
14979690760
15577175a00
hex347e8b940

14091336000 has 672 divisors, whose sum is σ = 58549690368. Its totient is φ = 3168460800.

The previous prime is 14091335987. The next prime is 14091336001. The reversal of 14091336000 is 63319041.

14091336000 is a `hidden beast` number, since 1 + 40 + 9 + 13 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14091336001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36791809 + ... + 36792191.

Almost surely, 214091336000 is an apocalyptic number.

14091336000 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 14091336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29274845184).

14091336000 is an abundant number, since it is smaller than the sum of its proper divisors (44458354368).

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

14091336000 is a wasteful number, since it uses less digits than its factorization.

14091336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 14091336000 in words is "fourteen billion, ninety-one million, three hundred thirty-six thousand".