Search a number
-
+
9425142720 = 2633571789103
BaseRepresentation
bin10001100011100100…
…00100001111000000
3220022212001212012000
420301302010033000
5123300314031340
64155125304000
7452364251130
oct106162041700
926285055160
109425142720
113aa727a254
1219b0565000
13b72885a36
14655a82ac0
153a26a9d30
hex231c843c0

9425142720 has 896 divisors, whose sum is σ = 41082163200. Its totient is φ = 1985347584.

The previous prime is 9425142707. The next prime is 9425142739. The reversal of 9425142720 is 272415249.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91506189 + ... + 91506291.

Almost surely, 29425142720 is an apocalyptic number.

9425142720 is a gapful number since it is divisible by the number (90) 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 9425142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20541081600).

9425142720 is an abundant number, since it is smaller than the sum of its proper divisors (31657020480).

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

9425142720 is a wasteful number, since it uses less digits than its factorization.

9425142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 9425142720 is about 97083.1742373518. The cubic root of 9425142720 is about 2112.3342704387.

Adding to 9425142720 its reverse (272415249), we get a palindrome (9697557969).

The spelling of 9425142720 in words is "nine billion, four hundred twenty-five million, one hundred forty-two thousand, seven hundred twenty".