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242142123144 = 23310089255131
BaseRepresentation
bin1110000110000011001…
…0111001010010001000
3212011000022010100112010
43201200302321102020
512431401340420034
6303123310015520
723331336041535
oct3414062712210
9764008110463
10242142123144
1193767a09049
123ab18aa75a0
1319aac11a60c
14ba10d81d8c
1564730443e9
hex3860cb9488

242142123144 has 16 divisors (see below), whose sum is σ = 605355307920. Its totient is φ = 80714041040.

The previous prime is 242142123143. The next prime is 242142123203. The reversal of 242142123144 is 441321241242.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (242142123143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5044627542 + ... + 5044627589.

It is an arithmetic number, because the mean of its divisors is an integer number (37834706745).

Almost surely, 2242142123144 is an apocalyptic number.

242142123144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242142123144 is an abundant number, since it is smaller than the sum of its proper divisors (363213184776).

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

242142123144 is a wasteful number, since it uses less digits than its factorization.

242142123144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10089255140 (or 10089255136 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 242142123144 its reverse (441321241242), we get a palindrome (683463364386).

The spelling of 242142123144 in words is "two hundred forty-two billion, one hundred forty-two million, one hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 10089255131 20178510262 30267765393 40357020524 60535530786 80714041048 121071061572 242142123144