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242144310132200 = 23527172960221523
BaseRepresentation
bin110111000011101010011101…
…100101101111110111101000
31011202100202210022101012110002
4313003222131211233313220
5223214243021343212300
62214555321013442132
7102001230510641660
oct6703523545576750
91152322708335402
10242144310132200
1170177909420473
12231a9233640348
13a516158908c78
1443b1bc07c11a0
151cedae10915d5
hexdc3a9d96fde8

242144310132200 has 48 divisors (see below), whose sum is σ = 643412024069280. Its totient is φ = 83020906330560.

The previous prime is 242144310132199. The next prime is 242144310132209. The reversal of 242144310132200 is 2231013441242.

It is not an unprimeable number, because it can be changed into a prime (242144310132209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86480109362 + ... + 86480112161.

It is an arithmetic number, because the mean of its divisors is an integer number (13404417168110).

Almost surely, 2242144310132200 is an apocalyptic number.

242144310132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242144310132200 is an abundant number, since it is smaller than the sum of its proper divisors (401267713937080).

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

242144310132200 is a wasteful number, since it uses less digits than its factorization.

242144310132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172960221546 (or 172960221537 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 242144310132200 its reverse (2231013441242), we get a palindrome (244375323573442).

The spelling of 242144310132200 in words is "two hundred forty-two trillion, one hundred forty-four billion, three hundred ten million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 172960221523 345920443046 691840886092 864801107615 1210721550661 1383681772184 1729602215230 2421443101322 3459204430460 4324005538075 4842886202644 6053607753305 6918408860920 8648011076150 9685772405288 12107215506610 17296022152300 24214431013220 30268038766525 34592044304600 48428862026440 60536077533050 121072155066100 242144310132200