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242341223140 = 22541295538077
BaseRepresentation
bin1110000110110010101…
…0011001101011100100
3212011112011202200101001
43201230222121223210
512432303323120030
6303155141243044
723336304260152
oct3415452315344
9764464680331
10242341223140
119385a3368a5
123ab73703484
1319b1144b073
14ba2d5ac3d2
156485771cca
hex386ca99ae4

242341223140 has 24 divisors (see below), whose sum is σ = 521329169592. Its totient is φ = 94572184320.

The previous prime is 242341223053. The next prime is 242341223153. The reversal of 242341223140 is 41322143242.

242341223140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16124936256 + 226216286884 = 126984^2 + 475622^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242341223099 and 242341223108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147768219 + ... + 147769858.

It is an arithmetic number, because the mean of its divisors is an integer number (21722048733).

Almost surely, 2242341223140 is an apocalyptic number.

242341223140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242341223140 is an abundant number, since it is smaller than the sum of its proper divisors (278987946452).

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

242341223140 is a wasteful number, since it uses less digits than its factorization.

242341223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295538127 (or 295538125 counting only the distinct ones).

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

Adding to 242341223140 its reverse (41322143242), we get a palindrome (283663366382).

The spelling of 242341223140 in words is "two hundred forty-two billion, three hundred forty-one million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 295538077 591076154 1182152308 1477690385 2955380770 5910761540 12117061157 24234122314 48468244628 60585305785 121170611570 242341223140