Search a number
-
+
110194194432 = 2113729531667
BaseRepresentation
bin110011010100000010…
…1011111100000000000
3101112102121211002001110
41212220011133200000
53301134203210212
6122342244003320
710650500124660
oct1465005374000
9345377732043
10110194194432
1142807828283
1219433990540
13a51180085a
145494cd41a0
152cee1a6a3c
hex19a815f800

110194194432 has 384 divisors, whose sum is σ = 354091046400. Its totient is φ = 29806952448.

The previous prime is 110194194389. The next prime is 110194194469. The reversal of 110194194432 is 234491491011.

It is a tau number, because it is divible by the number of its divisors (384).

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, 66102463 + ... + 66104129.

It is an arithmetic number, because the mean of its divisors is an integer number (922112100).

Almost surely, 2110194194432 is an apocalyptic number.

110194194432 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 110194194432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177045523200).

110194194432 is an abundant number, since it is smaller than the sum of its proper divisors (243896851968).

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

110194194432 is a wasteful number, since it uses less digits than its factorization.

110194194432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 110194194432 in words is "one hundred ten billion, one hundred ninety-four million, one hundred ninety-four thousand, four hundred thirty-two".