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2312011034640 = 2433537414361269
BaseRepresentation
bin100001101001001110100…
…110001011000000010000
322012000201000122122202000
4201221032212023000100
5300334444311102030
64530042340154000
7326015534353206
oct41511646130020
98160630578660
102312011034640
11811577a5619a
123140bb998900
1313a0388bc268
147dc8ac83076
1540219d8b860
hex21a4e98b010

2312011034640 has 1280 divisors, whose sum is σ = 8746090214400. Its totient is φ = 560170598400.

The previous prime is 2312011034639. The next prime is 2312011034687. The reversal of 2312011034640 is 464301102132.

It is a happy number.

2312011034640 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 0 + 1 + 10 + 3 + 4 + 640 = 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 255 ways as a sum of consecutive naturals, for example, 8594836426 + ... + 8594836694.

It is an arithmetic number, because the mean of its divisors is an integer number (6832882980).

Almost surely, 22312011034640 is an apocalyptic number.

2312011034640 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 2312011034640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373045107200).

2312011034640 is an abundant number, since it is smaller than the sum of its proper divisors (6434079179760).

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

2312011034640 is a wasteful number, since it uses less digits than its factorization.

2312011034640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2312011034640 its reverse (464301102132), we get a palindrome (2776312136772).

The spelling of 2312011034640 in words is "two trillion, three hundred twelve billion, eleven million, thirty-four thousand, six hundred forty".