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442231650025 = 5211210721132
BaseRepresentation
bin1100110111101110000…
…11110111011011101001
31120021110212212110210221
412123313003313123221
524221142300300100
6535054115010041
743643625001054
oct6336703673351
91507425773727
10442231650025
11160605268100
127185a599921
1332918b54279
1417592cc9a9b
15b7842a001a
hex66f70f76e9

442231650025 has 81 divisors (see below), whose sum is σ = 613868650213. Its totient is φ = 315797574400.

The previous prime is 442231650017. The next prime is 442231650031. The reversal of 442231650025 is 520056132244.

The square root of 442231650025 is 665005.

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

It can be written as a sum of positive squares in 4 ways, for example, as 224989897561 + 217241752464 = 474331^2 + 466092^2 .

It is not a de Polignac number, because 442231650025 - 23 = 442231650017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3913554369 + ... + 3913554481.

Almost surely, 2442231650025 is an apocalyptic number.

442231650025 is the 665005-th square number.

442231650025 is the 332503-rd centered octagonal number.

It is an amenable number.

442231650025 is a deficient number, since it is larger than the sum of its proper divisors (171637000188).

442231650025 is a wasteful number, since it uses less digits than its factorization.

442231650025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 442231650025 its reverse (520056132244), we get a palindrome (962287782269).

The spelling of 442231650025 in words is "four hundred forty-two billion, two hundred thirty-one million, six hundred fifty thousand, twenty-five".

Divisors: 1 5 11 25 55 107 113 121 275 535 565 605 1177 1243 2675 2825 3025 5885 6215 11449 12091 12769 12947 13673 29425 31075 57245 60455 63845 64735 68365 125939 133001 140459 286225 302275 319225 323675 341825 629695 665005 702295 1293737 1366283 1385329 1463011 1545049 3148475 3325025 3511475 6468685 6831415 6926645 7315055 7725245 14231107 15029113 32343425 34157075 34633225 36575275 38626225 71155535 75145565 146192281 156542177 165320243 355777675 375727825 730961405 782710885 826601215 1608115091 3654807025 3913554425 4133006075 8040575455 17689266001 40202877275 88446330005 442231650025