Search a number
-
+
110925934140 = 2235719313712119
BaseRepresentation
bin110011101001110110…
…0110110111000111100
3101121022121201022020010
41213103230312320330
53304134014343030
6122543023423220
711004563611620
oct1472354667074
9347277638203
10110925934140
114305288613a
12195b8a54b10
13a5ca2a3a28
145524171180
152d435486b0
hex19d3b36e3c

110925934140 has 384 divisors, whose sum is σ = 396155289600. Its totient is φ = 22615096320.

The previous prime is 110925934139. The next prime is 110925934187. The reversal of 110925934140 is 41439529011.

110925934140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9147001 + ... + 9159119.

It is an arithmetic number, because the mean of its divisors is an integer number (1031654400).

Almost surely, 2110925934140 is an apocalyptic number.

110925934140 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 110925934140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198077644800).

110925934140 is an abundant number, since it is smaller than the sum of its proper divisors (285229355460).

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

110925934140 is a wasteful number, since it uses less digits than its factorization.

110925934140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12225 (or 12223 counting only the distinct ones).

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

The spelling of 110925934140 in words is "one hundred ten billion, nine hundred twenty-five million, nine hundred thirty-four thousand, one hundred forty".