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442125305251 = 7316789341681
BaseRepresentation
bin1100110111100001011…
…10001100010110100011
31120021012110202121012121
412123300232030112203
524220433034232001
6535035355405111
743641164042020
oct6336056142643
91507173677177
10442125305251
11160560232763
127182aa53797
13328ccacb876
1417582b26547
15b779c956a1
hex66f0b8c5a3

442125305251 has 32 divisors (see below), whose sum is σ = 535320023040. Its totient is φ = 357205939200.

The previous prime is 442125305231. The next prime is 442125305269. The reversal of 442125305251 is 152503521244.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442125305251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442125305231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1123131 + ... + 1464811.

It is an arithmetic number, because the mean of its divisors is an integer number (16728750720).

Almost surely, 2442125305251 is an apocalyptic number.

442125305251 is a deficient number, since it is larger than the sum of its proper divisors (93194717789).

442125305251 is a wasteful number, since it uses less digits than its factorization.

442125305251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341875.

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 442125305251 its reverse (152503521244), we get a palindrome (594628826495).

The spelling of 442125305251 in words is "four hundred forty-two billion, one hundred twenty-five million, three hundred five thousand, two hundred fifty-one".

Divisors: 1 7 31 67 89 217 469 623 2077 2759 5963 14539 19313 41741 184853 341681 1293971 2391767 10592111 22892627 30409609 74144777 160248389 212867263 709671437 942697879 2037443803 4967700059 6598885153 14262106621 63160757893 442125305251