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442130203319 = 71924113793723
BaseRepresentation
bin1100110111100010000…
…00111000001010110111
31120021012210222110002112
412123301000320022313
524220440313001234
6535040052401235
743641253502060
oct6336100701267
91507183873075
10442130203319
11160562a78752
127183061621b
1332900b2512c
141758363d567
15b77a411ace
hex66f10382b7

442130203319 has 16 divisors (see below), whose sum is σ = 534092993280. Its totient is φ = 357533274240.

The previous prime is 442130203303. The next prime is 442130203321. The reversal of 442130203319 is 913302031244.

It is a cyclic number.

It is not a de Polignac number, because 442130203319 - 24 = 442130203303 is a prime.

It is a super-2 number, since 2×4421302033192 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442130203819) 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, 6864809 + ... + 6928914.

It is an arithmetic number, because the mean of its divisors is an integer number (33380812080).

Almost surely, 2442130203319 is an apocalyptic number.

442130203319 is a deficient number, since it is larger than the sum of its proper divisors (91962789961).

442130203319 is a wasteful number, since it uses less digits than its factorization.

442130203319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13793990.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 442130203319 in words is "four hundred forty-two billion, one hundred thirty million, two hundred three thousand, three hundred nineteen".

Divisors: 1 7 19 133 241 1687 4579 32053 13793723 96556061 262080737 1834565159 3324287243 23270010701 63161457617 442130203319