242767313743071 has 64 divisors (see below), whose sum is σ = 375518477734400. Its totient is φ = 138222745726464.

The previous prime is 242767313743063. The next prime is 242767313743187. The reversal of 242767313743071 is 170347313767242.

It is a happy number.

It is not a de Polignac number, because 242767313743071 - 2³ = 242767313743063 is a prime.

It is a super-2 number, since 2×242767313743071² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242767313743001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243860601 + ... + 244854093.

It is an arithmetic number, because the mean of its divisors is an integer number (5867476214600).

Almost surely, 2^{242767313743071} is an apocalyptic number.

242767313743071 is a deficient number, since it is larger than the sum of its proper divisors (132751163991329).

242767313743071 is a wasteful number, since it uses less digits than its factorization.

242767313743071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001240.

The product of its (nonzero) digits is 24893568, while the sum is 57.

The spelling of 242767313743071 in words is "two hundred forty-two trillion, seven hundred sixty-seven billion, three hundred thirteen million, seven hundred forty-three thousand, seventy-one".