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442155045225 = 3523110114912637
BaseRepresentation
bin1100110111100100111…
…11101001000101101001
31120021021112201112210010
412123302133221011221
524221013142421400
6535042341042133
743642004605335
oct6336237510551
91507245645703
10442155045225
11160575aa5853
12718389b6349
133290601239a
1417586a687c5
15b77c6bc450
hex66f27e9169

442155045225 has 96 divisors (see below), whose sum is σ = 767258035200. Its totient is φ = 224415360000.

The previous prime is 442155045181. The next prime is 442155045247. The reversal of 442155045225 is 522540551244.

It is not a de Polignac number, because 442155045225 - 214 = 442155028841 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34982607 + ... + 34995243.

It is an arithmetic number, because the mean of its divisors is an integer number (7992271200).

Almost surely, 2442155045225 is an apocalyptic number.

It is an amenable number.

442155045225 is a deficient number, since it is larger than the sum of its proper divisors (325102989975).

442155045225 is a wasteful number, since it uses less digits than its factorization.

442155045225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12931 (or 12926 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 39.

Adding to 442155045225 its reverse (522540551244), we get a palindrome (964695596469).

The spelling of 442155045225 in words is "four hundred forty-two billion, one hundred fifty-five million, forty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 31 75 93 101 149 155 303 447 465 505 745 775 1515 2235 2325 2525 3131 3725 4619 7575 9393 11175 12637 13857 15049 15655 23095 37911 45147 46965 63185 69285 75245 78275 115475 189555 225735 234825 315925 346425 376225 391747 466519 947775 1128675 1175241 1276337 1399557 1882913 1958735 2332595 3829011 5648739 5876205 6381685 6997785 9414565 9793675 11662975 19145055 28243695 29381025 31908425 34988925 39566447 47072825 58370303 95725275 118699341 141218475 175110909 190174213 197832235 291851515 570522639 593496705 875554545 950871065 989161175 1459257575 2852613195 2967483525 4377772725 4754355325 5895400603 14263065975 17686201809 29477003015 88431009045 147385015075 442155045225