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344125020253 = 727022959597
BaseRepresentation
bin1010000000111110111…
…00110001100001011101
31012220020122221022020111
411000133130301201131
521114232001122003
6422031105250021
733601511260300
oct5003734614135
91186218838214
10344125020253
11122a4066a093
125683a933911
13265b2696851
14129274c8b37
158e413b3e6d
hex501f73185d

344125020253 has 6 divisors (see below), whose sum is σ = 400308697086. Its totient is φ = 294964303032.

The previous prime is 344125020143. The next prime is 344125020263. The reversal of 344125020253 is 352020521443.

It can be written as a sum of positive squares in only one way, i.e., 326157494404 + 17967525849 = 571102^2 + 134043^2 .

It is a de Polignac number, because none of the positive numbers 2k-344125020253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344125020263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3511479750 + ... + 3511479847.

It is an arithmetic number, because the mean of its divisors is an integer number (66718116181).

Almost surely, 2344125020253 is an apocalyptic number.

It is an amenable number.

344125020253 is a deficient number, since it is larger than the sum of its proper divisors (56183676833).

344125020253 is an equidigital number, since it uses as much as digits as its factorization.

344125020253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022959611 (or 7022959604 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 344125020253 its reverse (352020521443), we get a palindrome (696145541696).

The spelling of 344125020253 in words is "three hundred forty-four billion, one hundred twenty-five million, twenty thousand, two hundred fifty-three".

Divisors: 1 7 49 7022959597 49160717179 344125020253