Search a number
-
+
242142312140 = 22517712183271
BaseRepresentation
bin1110000110000011001…
…1100111011011001100
3212011000022110221202222
43201200303213123030
512431401412442030
6303123314034512
723331340456541
oct3414063473314
9764008427688
10242142312140
1193768028043
123ab18b78a38
1319aac185651
14ba10dd0bc8
1564730803e5
hex3860ce76cc

242142312140 has 24 divisors (see below), whose sum is σ = 538410553632. Its totient is φ = 91159458560.

The previous prime is 242142312131. The next prime is 242142312143. The reversal of 242142312140 is 41213241242.

242142312140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242142312143) by changing a digit.

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, 356091296 + ... + 356091975.

It is an arithmetic number, because the mean of its divisors is an integer number (22433773068).

Almost surely, 2242142312140 is an apocalyptic number.

242142312140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242142312140 is an abundant number, since it is smaller than the sum of its proper divisors (296268241492).

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

242142312140 is a wasteful number, since it uses less digits than its factorization.

242142312140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712183297 (or 712183295 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 242142312140 its reverse (41213241242), we get a palindrome (283355553382).

The spelling of 242142312140 in words is "two hundred forty-two billion, one hundred forty-two million, three hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 712183271 1424366542 2848733084 3560916355 7121832710 12107115607 14243665420 24214231214 48428462428 60535578035 121071156070 242142312140