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442144599 = 313312571423
BaseRepresentation
bin11010010110101…
…001011101010111
31010210222021100220
4122112221131113
51401142111344
6111512405423
713646111211
oct3226513527
91123867326
10442144599
11207640866
121040a6873
13707a9330
1442a155b1
1528c3ac19
hex1a5a9757

442144599 has 32 divisors (see below), whose sum is σ = 658366464. Its totient is φ = 262103040.

The previous prime is 442144589. The next prime is 442144607. The reversal of 442144599 is 995441244.

It is not a de Polignac number, because 442144599 - 24 = 442144583 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 442144599.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442144559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310002 + ... + 311424.

It is an arithmetic number, because the mean of its divisors is an integer number (20573952).

Almost surely, 2442144599 is an apocalyptic number.

442144599 is a deficient number, since it is larger than the sum of its proper divisors (216221865).

442144599 is a wasteful number, since it uses less digits than its factorization.

442144599 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727.

The product of its digits is 207360, while the sum is 42.

The square root of 442144599 is about 21027.2346969353. The cubic root of 442144599 is about 761.8242183793.

The spelling of 442144599 in words is "four hundred forty-two million, one hundred forty-four thousand, five hundred ninety-nine".

Divisors: 1 3 13 31 39 93 257 403 771 1209 1423 3341 4269 7967 10023 18499 23901 44113 55497 103571 132339 310713 365711 573469 1097133 1720407 4754243 11337041 14262729 34011123 147381533 442144599