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9241142040 = 23335134315307
BaseRepresentation
bin10001001101101000…
…01010001100011000
3212212000211122201000
420212310022030120
5122411213021130
64124553425000
7445001261034
oct104664121430
925760748630
109241142040
113a12424879
12195aa0b160
13b43710bb0
146394671c4
15391461260
hex226d0a318

9241142040 has 256 divisors, whose sum is σ = 33947020800. Its totient is φ = 2221696512.

The previous prime is 9241142017. The next prime is 9241142041. The reversal of 9241142040 is 402411429.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 9241141995 and 9241142013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9241142041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 596067 + ... + 611373.

It is an arithmetic number, because the mean of its divisors is an integer number (132605550).

Almost surely, 29241142040 is an apocalyptic number.

9241142040 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 9241142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16973510400).

9241142040 is an abundant number, since it is smaller than the sum of its proper divisors (24705878760).

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

9241142040 is a wasteful number, since it uses less digits than its factorization.

9241142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15383 (or 15373 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9241142040 is about 96130.8589371800. The cubic root of 9241142040 is about 2098.4979462999.

Adding to 9241142040 its reverse (402411429), we get a palindrome (9643553469).

The spelling of 9241142040 in words is "nine billion, two hundred forty-one million, one hundred forty-two thousand, forty".