Search a number
-
+
109644099120 = 2433541230197
BaseRepresentation
bin110011000011101001…
…1000010111000110000
3101111000021201100011000
41212013103002320300
53244022342132440
6122211513322000
710631040315363
oct1460723027060
9344007640130
10109644099120
1142555265556
12192bb706300
13a454858b7a
145441c1c0da
152cbac45730
hex19874c2e30

109644099120 has 240 divisors, whose sum is σ = 387111785760. Its totient is φ = 28524349440.

The previous prime is 109644099049. The next prime is 109644099167. The reversal of 109644099120 is 21990446901.

109644099120 is a `hidden beast` number, since 10 + 96 + 440 + 9 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3615862 + ... + 3646058.

It is an arithmetic number, because the mean of its divisors is an integer number (1612965774).

Almost surely, 2109644099120 is an apocalyptic number.

109644099120 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 109644099120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193555892880).

109644099120 is an abundant number, since it is smaller than the sum of its proper divisors (277467686640).

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

109644099120 is a wasteful number, since it uses less digits than its factorization.

109644099120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30301 (or 30248 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 109644099120 in words is "one hundred nine billion, six hundred forty-four million, ninety-nine thousand, one hundred twenty".