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242302014344 = 231368310633209
BaseRepresentation
bin1110000110101001010…
…0110101001110001000
3212011102102222200000102
43201222110311032020
512432213303424334
6303151221024532
723335320065615
oct3415224651610
9764372880012
10242302014344
119383a196735
123ab62555148
1319b062a06b0
14ba282c350c
1564820c967e
hex386a535388

242302014344 has 64 divisors (see below), whose sum is σ = 490593801600. Its totient is φ = 111528147456.

The previous prime is 242302014337. The next prime is 242302014401. The reversal of 242302014344 is 443410203242.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 75505412 + ... + 75508620.

It is an arithmetic number, because the mean of its divisors is an integer number (7665528150).

Almost surely, 2242302014344 is an apocalyptic number.

It is an amenable number.

242302014344 is an abundant number, since it is smaller than the sum of its proper divisors (248291787256).

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

242302014344 is a wasteful number, since it uses less digits than its factorization.

242302014344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 242302014344 its reverse (443410203242), we get a palindrome (685712217586).

The spelling of 242302014344 in words is "two hundred forty-two billion, three hundred two million, fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 683 1063 1366 2126 2732 3209 4252 5464 6418 8504 8879 12836 13819 17758 25672 27638 35516 41717 55276 71032 83434 110552 166868 333736 726029 1452058 2191747 2904116 3411167 4383494 5808232 6822334 8766988 9438377 13644668 17533976 18876754 27289336 28492711 37753508 44345171 56985422 75507016 88690342 113970844 177380684 227941688 354761368 2329827061 4659654122 9319308244 18638616488 30287751793 60575503586 121151007172 242302014344