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242481801924319 is a prime number
BaseRepresentation
bin110111001000100100110001…
…101010110000111011011111
31011210120000220200201121022111
4313020210301222300323133
5223240310212243034234
62215414334010054451
7102034506045562606
oct6710446152607337
91153500820647274
10242481801924319
1170297a55776031
1223242720a1a427
13a53bc21c75a49
1443c4278d44a3d
151d07794e39664
hexdc8931ab0edf

242481801924319 has 2 divisors, whose sum is σ = 242481801924320. Its totient is φ = 242481801924318.

The previous prime is 242481801924239. The next prime is 242481801924359. The reversal of 242481801924319 is 913429108184242.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 242481801924319 - 211 = 242481801922271 is a prime.

It is a super-3 number, since 3×2424818019243193 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (242481801924359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121240900962159 + 121240900962160.

It is an arithmetic number, because the mean of its divisors is an integer number (121240900962160).

Almost surely, 2242481801924319 is an apocalyptic number.

242481801924319 is a deficient number, since it is larger than the sum of its proper divisors (1).

242481801924319 is an equidigital number, since it uses as much as digits as its factorization.

242481801924319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7962624, while the sum is 58.

The spelling of 242481801924319 in words is "two hundred forty-two trillion, four hundred eighty-one billion, eight hundred one million, nine hundred twenty-four thousand, three hundred nineteen".