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314141112400340 = 22515707055620017
BaseRepresentation
bin100011101101101011010110…
…1011010011111100111010100
31112012021121010020202012202102
41013123112231122133213110
5312133341444233302330
63032042233523501232
7123111642420560501
oct10733265532374724
91465247106665672
10314141112400340
1191105552343075
122b29679ab27818
13106394c25209b4
14578072213c4a8
15264b7e7e63945
hex11db5ad69f9d4

314141112400340 has 12 divisors (see below), whose sum is σ = 659696336040756. Its totient is φ = 125656444960128.

The previous prime is 314141112400319. The next prime is 314141112400351. The reversal of 314141112400340 is 43004211141413.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50733795490756 + 263407316909584 = 7122766^2 + 16229828^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7853527809989 + ... + 7853527810028.

It is an arithmetic number, because the mean of its divisors is an integer number (54974694670063).

Almost surely, 2314141112400340 is an apocalyptic number.

It is an amenable number.

314141112400340 is an abundant number, since it is smaller than the sum of its proper divisors (345555223640416).

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

314141112400340 is a wasteful number, since it uses less digits than its factorization.

314141112400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15707055620026 (or 15707055620024 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 314141112400340 its reverse (43004211141413), we get a palindrome (357145323541753).

The spelling of 314141112400340 in words is "three hundred fourteen trillion, one hundred forty-one billion, one hundred twelve million, four hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 15707055620017 31414111240034 62828222480068 78535278100085 157070556200170 314141112400340