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442240141 = 72311092671
BaseRepresentation
bin11010010111000…
…000110010001101
31010211011010102111
4122113000302031
51401203141031
6111514424021
713646656600
oct3227006215
91124133374
10442240141
112076a6622
12104132011
1370810975
1442a3c337
1528c591b1
hex1a5c0c8d

442240141 has 24 divisors (see below), whose sum is σ = 536110080. Its totient is φ = 363333600.

The previous prime is 442240121. The next prime is 442240151. The reversal of 442240141 is 141042244.

It is not a de Polignac number, because 442240141 - 27 = 442240013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442240121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164236 + ... + 166906.

It is an arithmetic number, because the mean of its divisors is an integer number (22337920).

Almost surely, 2442240141 is an apocalyptic number.

It is an amenable number.

442240141 is a deficient number, since it is larger than the sum of its proper divisors (93869939).

442240141 is a wasteful number, since it uses less digits than its factorization.

442240141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 442240141 is about 21029.5064373846. The cubic root of 442240141 is about 761.8790880362.

Adding to 442240141 its reverse (141042244), we get a palindrome (583282385).

The spelling of 442240141 in words is "four hundred forty-two million, two hundred forty thousand, one hundred forty-one".

Divisors: 1 7 31 49 109 217 763 1519 2671 3379 5341 18697 23653 82801 130879 165571 291139 579607 2037973 4057249 9025309 14265811 63177163 442240141