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442182281244 = 2231115289219103
BaseRepresentation
bin1100110111101000001…
…11100010100000011100
31120021100102222021120120
412123310013202200130
524221042130444434
6535045152514540
743642455242544
oct6336407424034
91507312867516
10442182281244
1116058a408660
1271845b4ba50
133290b85a282
141758a518324
15b77ec9c349
hex66f41e281c

442182281244 has 48 divisors (see below), whose sum is σ = 1125633653760. Its totient is φ = 133985255040.

The previous prime is 442182281237. The next prime is 442182281257.

442182281244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4421822812442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442182281196 and 442182281205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1908597 + ... + 2127699.

It is an arithmetic number, because the mean of its divisors is an integer number (23450701120).

Almost surely, 2442182281244 is an apocalyptic number.

442182281244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442182281244 is an abundant number, since it is smaller than the sum of its proper divisors (683451372516).

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

442182281244 is a wasteful number, since it uses less digits than its factorization.

442182281244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234410 (or 234408 counting only the distinct ones).

The product of its digits is 262144, while the sum is 42.

The spelling of 442182281244 in words is "four hundred forty-two billion, one hundred eighty-two million, two hundred eighty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 15289 30578 45867 61156 91734 168179 183468 219103 336358 438206 504537 657309 672716 876412 1009074 1314618 2018148 2410133 2629236 4820266 7230399 9640532 14460798 28921596 3349865767 6699731534 10049597301 13399463068 20099194602 36848523437 40198389204 73697046874 110545570311 147394093748 221091140622 442182281244