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442013310244 = 221124343149277
BaseRepresentation
bin1100110111010100000…
…10111101110100100100
31120020220200000122221101
412123222002331310210
524220220401411434
6535020315125444
743635334100662
oct6335202756444
91506820018841
10442013310244
11160502a99200
12717b9443884
13328b284842c
1417571cd1c32
15b770021b14
hex66ea0bdd24

442013310244 has 72 divisors (see below), whose sum is σ = 872045564544. Its totient is φ = 195783403200.

The previous prime is 442013310169. The next prime is 442013310377.

442013310244 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8945334 + ... + 8994610.

It is an arithmetic number, because the mean of its divisors is an integer number (12111743952).

Almost surely, 2442013310244 is an apocalyptic number.

442013310244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442013310244 is a deficient number, since it is larger than the sum of its proper divisors (430032254300).

442013310244 is a wasteful number, since it uses less digits than its factorization.

442013310244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49777 (or 49764 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 442013 and 310244, that added together give a palindrome (752257).

The spelling of 442013310244 in words is "four hundred forty-two billion, thirteen million, three hundred ten thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 43 44 86 121 172 242 431 473 484 862 946 1724 1892 4741 5203 9482 10406 18533 18964 20812 37066 49277 52151 74132 98554 104302 197108 203863 208604 407726 542047 815452 1084094 2118911 2168188 2242493 4237822 4484986 5962517 8475644 8969972 11925034 21238387 23308021 23850068 42476774 46616042 84953548 93232084 233622257 256388231 467244514 512776462 913250641 934489028 1025552924 1826501282 2569844827 3653002564 5139689654 10045757051 10279379308 20091514102 40183028204 110503327561 221006655122 442013310244