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342265951225 = 521149672
BaseRepresentation
bin1001111101100001010…
…00111111001111111001
31012201110002202210222001
410332300220333033321
521101430040414400
6421122415101001
733504445404052
oct4766050771771
91181402683861
10342265951225
11122177230000
1256400211761
13263774944c3
14127cc637729
158d8308da6a
hex4fb0a3f3f9

342265951225 has 45 divisors (see below), whose sum is σ = 467331137535. Its totient is φ = 248663276400.

The previous prime is 342265951193. The next prime is 342265951241. The reversal of 342265951225 is 522159562243.

The square root of 342265951225 is 585035.

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

It can be written as a sum of positive squares in only one way, i.e., 123215742441 + 219050208784 = 351021^2 + 468028^2 .

It is not a de Polignac number, because 342265951225 - 25 = 342265951193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 353945692 + ... + 353946658.

Almost surely, 2342265951225 is an apocalyptic number.

342265951225 is the 585035-th square number.

342265951225 is the 292518-th centered octagonal number.

It is an amenable number.

342265951225 is a deficient number, since it is larger than the sum of its proper divisors (125065186310).

342265951225 is an frugal number, since it uses more digits than its factorization.

342265951225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 983 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 46.

The spelling of 342265951225 in words is "three hundred forty-two billion, two hundred sixty-five million, nine hundred fifty-one thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 967 1331 3025 4835 6655 10637 14641 24175 33275 53185 73205 117007 265925 366025 585035 935089 1287077 2925175 4675445 6435385 10285979 14157847 23377225 32176925 51429895 70789235 113145769 257149475 353946175 565728845 1244603459 2828644225 6223017295 13690638049 31115086475 68453190245 342265951225