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2312042430240 = 253355311389363
BaseRepresentation
bin100001101001010000011…
…101111011111100100000
322012000210012201201102000
4201221100131323330200
5300340030330231430
64530045421124000
7326016365253444
oct41512035737440
98160705651360
102312042430240
1181159374a174
1231410a3b9600
1313a04226253a
147dc910d6824
154021c9dde60
hex21a5077bf20

2312042430240 has 384 divisors, whose sum is σ = 8317886734080. Its totient is φ = 599551819776.

The previous prime is 2312042430221. The next prime is 2312042430253. The reversal of 2312042430240 is 420342402132.

2312042430240 is a `hidden beast` number, since 2 + 3 + 1 + 204 + 2 + 430 + 24 + 0 = 666.

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

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, 25827799 + ... + 25917161.

It is an arithmetic number, because the mean of its divisors is an integer number (21661163370).

Almost surely, 22312042430240 is an apocalyptic number.

2312042430240 is a gapful number since it is divisible by the number (20) 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 2312042430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158943367040).

2312042430240 is an abundant number, since it is smaller than the sum of its proper divisors (6005844303840).

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

2312042430240 is a wasteful number, since it uses less digits than its factorization.

2312042430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89553 (or 89539 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2312042430240 its reverse (420342402132), we get a palindrome (2732384832372).

The spelling of 2312042430240 in words is "two trillion, three hundred twelve billion, forty-two million, four hundred thirty thousand, two hundred forty".