Search a number
-
+
14359941120 = 212357173193
BaseRepresentation
bin11010101111110101…
…10101000000000000
31101001202202120222010
431113322311000000
5213402121103440
610332531212520
71015565325360
oct152772650000
941052676863
1014359941120
1160a98a3338
122949147140
13147b065ba5
149a32109a0
15590a32580
hex357eb5000

14359941120 has 416 divisors, whose sum is σ = 53087116032. Its totient is φ = 3246391296.

The previous prime is 14359941109. The next prime is 14359941133. The reversal of 14359941120 is 2114995341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74403744 + ... + 74403936.

Almost surely, 214359941120 is an apocalyptic number.

14359941120 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 14359941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26543558016).

14359941120 is an abundant number, since it is smaller than the sum of its proper divisors (38727174912).

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

14359941120 is a wasteful number, since it uses less digits than its factorization.

14359941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 14359941120 in words is "fourteen billion, three hundred fifty-nine million, nine hundred forty-one thousand, one hundred twenty".