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442220541021 = 32788126892963
BaseRepresentation
bin1100110111101100110…
…01011111010001011101
31120021110002222002010100
412123312121133101131
524221131424303041
6535053040531313
743643431402230
oct6336631372135
91507402862110
10442220541021
111605a9a6a806
1271856920b39
13329167649ac
1417591637417
15b7833086b6
hex66f665f45d

442220541021 has 48 divisors (see below), whose sum is σ = 731362020480. Its totient is φ = 252231598080.

The previous prime is 442220540987. The next prime is 442220541031. The reversal of 442220541021 is 120145022244.

It is a happy number.

442220541021 is a `hidden beast` number, since 4 + 4 + 2 + 220 + 5 + 410 + 21 = 666.

It is not a de Polignac number, because 442220541021 - 27 = 442220540893 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442220541031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149246086 + ... + 149249048.

It is an arithmetic number, because the mean of its divisors is an integer number (15236708760).

Almost surely, 2442220541021 is an apocalyptic number.

It is an amenable number.

442220541021 is a deficient number, since it is larger than the sum of its proper divisors (289141479459).

442220541021 is a wasteful number, since it uses less digits than its factorization.

442220541021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6546 (or 6543 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 442220541021 its reverse (120145022244), we get a palindrome (562365563265).

The spelling of 442220541021 in words is "four hundred forty-two billion, two hundred twenty million, five hundred forty-one thousand, twenty-one".

Divisors: 1 3 7 9 21 63 881 2643 2689 2963 6167 7929 8067 8889 18501 18823 20741 24201 26667 55503 56469 62223 169407 186669 2369009 2610403 7107027 7831209 7967507 16583063 18272821 21321081 23493627 23902521 49749189 54818463 55772549 71707563 149247567 164455389 167317647 501952941 7019373667 21058121001 49135615669 63174363003 147406847007 442220541021