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242140441020 = 223529139161173
BaseRepresentation
bin1110000110000010110…
…0011110100110111100
3212011000011221220002020
43201200230132212330
512431400423103040
6303123210000140
723331315534432
oct3414054364674
9764004856066
10242140441020
1193766a6a265
123ab18416050
1319aab97ba8a
14ba10a64d52
156472d10cd0
hex3860b1e9bc

242140441020 has 48 divisors (see below), whose sum is σ = 701372316960. Its totient is φ = 62344205056.

The previous prime is 242140440953. The next prime is 242140441031. The reversal of 242140441020 is 20144041242.

242140441020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 69578847 + ... + 69582326.

It is an arithmetic number, because the mean of its divisors is an integer number (14611923270).

Almost surely, 2242140441020 is an apocalyptic number.

242140441020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242140441020 is an abundant number, since it is smaller than the sum of its proper divisors (459231875940).

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

242140441020 is a wasteful number, since it uses less digits than its factorization.

242140441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139161214 (or 139161212 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 242140441020 its reverse (20144041242), we get a palindrome (262284482262).

The spelling of 242140441020 in words is "two hundred forty-two billion, one hundred forty million, four hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 139161173 278322346 417483519 556644692 695805865 834967038 1391611730 1669934076 2087417595 2783223460 4035674017 4174835190 8071348034 8349670380 12107022051 16142696068 20178370085 24214044102 40356740170 48428088204 60535110255 80713480340 121070220510 242140441020