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2314143235040 = 255731316719423
BaseRepresentation
bin100001101011001101101…
…011110111101111100000
322012020012121202122211012
4201223031223313233200
5300403331132010130
64531034104440052
7326122424642000
oct41531553675740
98166177678735
102314143235040
1181247158798a
123145b5a79028
1313a2b85727c0
1480010112000
15402e2164995
hex21acdaf7be0

2314143235040 has 384 divisors, whose sum is σ = 6907609497600. Its totient is φ = 727965149184.

The previous prime is 2314143235021. The next prime is 2314143235069. The reversal of 2314143235040 is 405323414132.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2314143234988 and 2314143235006.

It is a congruent number.

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, 119134769 + ... + 119154191.

It is an arithmetic number, because the mean of its divisors is an integer number (17988566400).

Almost surely, 22314143235040 is an apocalyptic number.

2314143235040 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 2314143235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453804748800).

2314143235040 is an abundant number, since it is smaller than the sum of its proper divisors (4593466262560).

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

2314143235040 is a wasteful number, since it uses less digits than its factorization.

2314143235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19639 (or 19617 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 2314143235040 its reverse (405323414132), we get a palindrome (2719466649172).

The spelling of 2314143235040 in words is "two trillion, three hundred fourteen billion, one hundred forty-three million, two hundred thirty-five thousand, forty".