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442013340021 = 31135771374447
BaseRepresentation
bin1100110111010100000…
…11000101000101110101
31120020220200002011210020
412123222003011011311
524220220403340041
6535020315515353
743635334253541
oct6335203050565
91506820064706
10442013340021
11160503009610
12717b9458b59
13328b2858b56
1417571cdca21
15b77002a866
hex66ea0c5175

442013340021 has 16 divisors (see below), whose sum is σ = 642948185088. Its totient is φ = 267878668400.

The previous prime is 442013339959. The next prime is 442013340031. The reversal of 442013340021 is 120043310244.

It is a cyclic number.

It is not a de Polignac number, because 442013340021 - 214 = 442013323637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442013339973 and 442013340000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442013340031) by changing a digit.

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, 993220 + ... + 1367666.

It is an arithmetic number, because the mean of its divisors is an integer number (40184261568).

Almost surely, 2442013340021 is an apocalyptic number.

It is an amenable number.

442013340021 is a deficient number, since it is larger than the sum of its proper divisors (200934845067).

442013340021 is a wasteful number, since it uses less digits than its factorization.

442013340021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410232.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 442013340021 its reverse (120043310244), we get a palindrome (562056650265).

The spelling of 442013340021 in words is "four hundred forty-two billion, thirteen million, three hundred forty thousand, twenty-one".

Divisors: 1 3 11 33 35771 107313 374447 393481 1123341 1180443 4118917 12356751 13394343637 40183030911 147337780007 442013340021