Search a number
-
+
9042015444 = 223711291272657
BaseRepresentation
bin10000110101111001…
…00011010011010100
3212100011010222100220
420122330203103110
5122004223443234
64053121434340
7440032602030
oct103274432324
925304128326
109042015444
11391aa89040
12190419b9b0
13b113a12c7
1461ac311c0
1537dc2aa49
hex21af234d4

9042015444 has 192 divisors, whose sum is σ = 27435663360. Its totient is φ = 2248888320.

The previous prime is 9042015439. The next prime is 9042015517. The reversal of 9042015444 is 4445102409.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3401764 + ... + 3404420.

It is an arithmetic number, because the mean of its divisors is an integer number (142894080).

Almost surely, 29042015444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9042015444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13717831680).

9042015444 is an abundant number, since it is smaller than the sum of its proper divisors (18393647916).

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

9042015444 is a wasteful number, since it uses less digits than its factorization.

9042015444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 9042015444 is about 95089.5127971534. The cubic root of 9042015444 is about 2083.3156748384.

The spelling of 9042015444 in words is "nine billion, forty-two million, fifteen thousand, four hundred forty-four".