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242341332020 = 225757123113003
BaseRepresentation
bin1110000110110010101…
…0110100010000110100
3212011112011222012201122
43201230222310100310
512432303340111040
6303155143443112
723336305222454
oct3415452642064
9764464865648
10242341332020
119385a400687
123ab73756498
1319b114887a8
14ba2d5d9d64
1564857941b5
hex386cab4434

242341332020 has 48 divisors (see below), whose sum is σ = 510042263808. Its totient is φ = 96722398080.

The previous prime is 242341331971. The next prime is 242341332049. The reversal of 242341332020 is 20233143242.

It is a congruent number.

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, 18630839 + ... + 18643841.

It is an arithmetic number, because the mean of its divisors is an integer number (10625880496).

Almost surely, 2242341332020 is an apocalyptic number.

242341332020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242341332020 is an abundant number, since it is smaller than the sum of its proper divisors (267700931788).

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

242341332020 is a wasteful number, since it uses less digits than its factorization.

242341332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15000 (or 14998 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 242341332020 its reverse (20233143242), we get a palindrome (262574475262).

The spelling of 242341332020 in words is "two hundred forty-two billion, three hundred forty-one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 757 1231 1514 2462 3028 3785 4924 6155 7570 12310 13003 15140 24620 26006 52012 65015 130030 260060 931867 1863734 3727468 4659335 9318670 9843271 16006693 18637340 19686542 32013386 39373084 49216355 64026772 80033465 98432710 160066930 196865420 320133860 12117066601 24234133202 48468266404 60585333005 121170666010 242341332020