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442153351244 = 2211149233289453
BaseRepresentation
bin1100110111100100110…
…01001011100001001100
31120021021102112111002002
412123302121023201030
524221012224214434
6535042240451432
743641654321533
oct6336231134114
91507242474062
10442153351244
11160575049070
1271838319b78
133290586b327
141758674731a
15b77c48557e
hex66f264b84c

442153351244 has 48 divisors (see below), whose sum is σ = 853426173600. Its totient is φ = 198772477440.

The previous prime is 442153351229. The next prime is 442153351267.

442153351244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 442153351198 and 442153351207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1382822 + ... + 1672274.

It is an arithmetic number, because the mean of its divisors is an integer number (17779711950).

Almost surely, 2442153351244 is an apocalyptic number.

442153351244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442153351244 is a deficient number, since it is larger than the sum of its proper divisors (411272822356).

442153351244 is a wasteful number, since it uses less digits than its factorization.

442153351244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289850 (or 289848 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

It can be divided in two parts, 442153 and 351244, that added together give a palindrome (793397).

The spelling of 442153351244 in words is "four hundred forty-two billion, one hundred fifty-three million, three hundred fifty-one thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 44 149 233 298 466 596 932 1639 2563 3278 5126 6556 10252 34717 69434 138868 289453 381887 578906 763774 1157812 1527548 3183983 6367966 12735932 43128497 67442549 86256994 134885098 172513988 269770196 474413467 741868039 948826934 1483736078 1897653868 2967472156 10048939801 20097879602 40195759204 110538337811 221076675622 442153351244