Search a number
-
+
109424236320 = 253257212712211
BaseRepresentation
bin110010111101000110…
…0010101011100100000
3101110102222000011002100
41211322030111130200
53243100101030240
6122134021050400
710622430443100
oct1457214253440
9343388004070
10109424236320
1142452146363
1219259b56a00
13a41b138a39
145420949200
152ca67b5e30
hex197a315720

109424236320 has 432 divisors, whose sum is σ = 437831267328. Its totient is φ = 24812282880.

The previous prime is 109424236303. The next prime is 109424236373. The reversal of 109424236320 is 23632424901.

109424236320 is a `hidden beast` number, since 1 + 0 + 94 + 242 + 3 + 6 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8955015 + ... + 8967225.

It is an arithmetic number, because the mean of its divisors is an integer number (1013498304).

Almost surely, 2109424236320 is an apocalyptic number.

109424236320 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 109424236320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218915633664).

109424236320 is an abundant number, since it is smaller than the sum of its proper divisors (328407031008).

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

109424236320 is a wasteful number, since it uses less digits than its factorization.

109424236320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12373 (or 12355 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

It can be divided in two parts, 109424 and 236320, that added together give a square (345744 = 5882).

The spelling of 109424236320 in words is "one hundred nine billion, four hundred twenty-four million, two hundred thirty-six thousand, three hundred twenty".