Search a number
-
+
2331301440312 = 233213139163211521
BaseRepresentation
bin100001111011001100011…
…001001110101100111000
322020212111101221210120100
4201323030121032230320
5301144001132042222
64542552440355400
7330300552166035
oct41731431165470
98225441853510
102331301440312
11819776982519
123179a4175b60
1313bac12787a0
1480b9ac1438c
154099868c4ac
hex21ecc64eb38

2331301440312 has 384 divisors, whose sum is σ = 6936508051200. Its totient is φ = 703087257600.

The previous prime is 2331301440311. The next prime is 2331301440317. The reversal of 2331301440312 is 2130441031332.

It is a happy number.

2331301440312 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 301 + 4 + 40 + 312 = 666.

2331301440312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331301440311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4474666612 + ... + 4474667132.

It is an arithmetic number, because the mean of its divisors is an integer number (18063823050).

Almost surely, 22331301440312 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 2331301440312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468254025600).

2331301440312 is an abundant number, since it is smaller than the sum of its proper divisors (4605206610888).

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

2331301440312 is a wasteful number, since it uses less digits than its factorization.

2331301440312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2331301440312 its reverse (2130441031332), we get a palindrome (4461742471644).

The spelling of 2331301440312 in words is "two trillion, three hundred thirty-one billion, three hundred one million, four hundred forty thousand, three hundred twelve".