Search a number
-
+
109943930880 = 2143657263
BaseRepresentation
bin110011001100100101…
…0110100000000000000
3101111210011220101000000
41212121022310000000
53300131121242010
6122301344000000
710641340664430
oct1463112640000
9344704811000
10109943930880
11426995345a3
1219384000000
13a4a19c8204
14546d98a2c0
152cd721e7c0
hex19992b4000

109943930880 has 840 divisors, whose sum is σ = 453839202432. Its totient is φ = 25034489856.

The previous prime is 109943930869. The next prime is 109943930897. The reversal of 109943930880 is 88039349901.

109943930880 is a `hidden beast` number, since 10 + 99 + 439 + 30 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 418037629 + ... + 418037891.

Almost surely, 2109943930880 is an apocalyptic number.

109943930880 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 109943930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226919601216).

109943930880 is an abundant number, since it is smaller than the sum of its proper divisors (343895271552).

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

109943930880 is an frugal number, since it uses more digits than its factorization.

109943930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 109943930880 in words is "one hundred nine billion, nine hundred forty-three million, nine hundred thirty thousand, eight hundred eighty".