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442405211334 = 231672831560149
BaseRepresentation
bin1100111000000010110…
…01111100110011000110
31120021220222110022011120
412130001121330303012
524222021213230314
6535123235014410
743651133151522
oct6340131746306
91507828408146
10442405211334
111606942322a9
12718a873a406
1332945ab2578
14175abd88d82
15b7946358a9
hex670167ccc6

442405211334 has 32 divisors (see below), whose sum is σ = 893254521600. Its totient is φ = 146067296352.

The previous prime is 442405211323. The next prime is 442405211357. The reversal of 442405211334 is 433112504244.

It is a junction number, because it is equal to n+sod(n) for n = 442405211295 and 442405211304.

It is a congruent number.

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, 496509 + ... + 1063640.

It is an arithmetic number, because the mean of its divisors is an integer number (27914203800).

Almost surely, 2442405211334 is an apocalyptic number.

442405211334 is an abundant number, since it is smaller than the sum of its proper divisors (450849310266).

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

442405211334 is a wasteful number, since it uses less digits than its factorization.

442405211334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560604.

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 442405211334 its reverse (433112504244), we get a palindrome (875517715578).

The spelling of 442405211334 in words is "four hundred forty-two billion, four hundred five million, two hundred eleven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 167 283 334 501 566 849 1002 1698 47261 94522 141783 283566 1560149 3120298 4680447 9360894 260544883 441522167 521089766 781634649 883044334 1324566501 1563269298 2649133002 73734201889 147468403778 221202605667 442405211334