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2310378720049 = 41213122832
BaseRepresentation
bin100001100111101101010…
…011011000101100110001
322011212111021011111002001
4201213231103120230301
5300323123423020144
64525212350054001
7325630224044431
oct41475523305461
98155437144061
102310378720049
1181090a613074
123139251aa301
13139b38680b3a
147db7417a2c1
1540171907bd4
hex219ed4d8b31

2310378720049 has 27 divisors (see below), whose sum is σ = 2394780967947. Its totient is φ = 2228917735200.

The previous prime is 2310378720043. The next prime is 2310378720103. The reversal of 2310378720049 is 9400278730132.

The square root of 2310378720049 is 1519993.

It is a perfect power (a square), and thus also a powerful number.

2310378720049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 111326993649 + 2199051726400 = 333657^2 + 1482920^2 .

It is not a de Polignac number, because 2310378720049 - 213 = 2310378711857 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2310378719990 and 2310378720008.

It is not an unprimeable number, because it can be changed into a prime (2310378720043) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8163882262 + ... + 8163882544.

Almost surely, 22310378720049 is an apocalyptic number.

2310378720049 is the 1519993-rd square number.

2310378720049 is the 759997-th centered octagonal number.

It is an amenable number.

2310378720049 is a deficient number, since it is larger than the sum of its proper divisors (84402247898).

2310378720049 is an frugal number, since it uses more digits than its factorization.

2310378720049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 2310378720049 in words is "two trillion, three hundred ten billion, three hundred seventy-eight million, seven hundred twenty thousand, forty-nine".

Divisors: 1 41 131 283 1681 5371 11603 17161 37073 80089 220211 475723 703601 1519993 3283649 4856563 10491659 28847641 62319713 134629609 199119083 430158019 1374407329 8163882403 17636478779 56350700489 2310378720049