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444323434122 = 233101167487829
BaseRepresentation
bin1100111011100111011…
…11011000111010001010
31120110212122221010011000
412131303233120322022
524234433244342442
6540041441115430
744046514606011
oct6356357307212
91513778833130
10444323434122
11161488aa4497
1272143028b76
1332b90326639
1417710a37a78
15b857c42d4c
hex6773bd8e8a

444323434122 has 64 divisors (see below), whose sum is σ = 1003134585600. Its totient is φ = 145763006400.

The previous prime is 444323434111. The next prime is 444323434151. The reversal of 444323434122 is 221434323444.

444323434122 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 234 + 3 + 412 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666904 + ... + 1154732.

It is an arithmetic number, because the mean of its divisors is an integer number (15673977900).

Almost surely, 2444323434122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444323434122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501567292800).

444323434122 is an abundant number, since it is smaller than the sum of its proper divisors (558811151478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444323434122 is a wasteful number, since it uses less digits than its factorization.

444323434122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488108 (or 488102 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 444323434122 its reverse (221434323444), we get a palindrome (665757757566).

The spelling of 444323434122 in words is "four hundred forty-four billion, three hundred twenty-three million, four hundred thirty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 101 167 202 303 334 501 606 909 1002 1503 1818 2727 3006 4509 5454 9018 16867 33734 50601 101202 151803 303606 455409 487829 910818 975658 1463487 2926974 4390461 8780922 13171383 26342766 49270729 81467443 98541458 147812187 162934886 244402329 295624374 443436561 488804658 733206987 886873122 1330309683 1466413974 2199620961 2660619366 4399241922 8228211743 16456423486 24684635229 49369270458 74053905687 148107811374 222161717061 444323434122