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242033152200241 = 17113125993311921
BaseRepresentation
bin110111000010000010111100…
…000011111000111000110001
31011201222010212112010012001011
4313002002330003320320301
5223210432343430401431
62214432254541310521
7101660214066053413
oct6702027403707061
91151863775105034
10242033152200241
11701347576979a6
122318b790b65441
13a50882255682c
1443aa6778dc9b3
151ceac874bccb1
hexdc20bc0f8e31

242033152200241 has 8 divisors (see below), whose sum is σ = 258538276063944. Its totient is φ = 225780014960640.

The previous prime is 242033152200239. The next prime is 242033152200251. The reversal of 242033152200241 is 142002251330242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47673445923216 + 194359706277025 = 6904596^2 + 13941295^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 242033152200241 - 21 = 242033152200239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242033152200251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62996654040 + ... + 62996657881.

It is an arithmetic number, because the mean of its divisors is an integer number (32317284507993).

Almost surely, 2242033152200241 is an apocalyptic number.

It is an amenable number.

242033152200241 is a deficient number, since it is larger than the sum of its proper divisors (16505123863703).

242033152200241 is a wasteful number, since it uses less digits than its factorization.

242033152200241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125993312051.

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 242033152200241 in words is "two hundred forty-two trillion, thirty-three billion, one hundred fifty-two million, two hundred thousand, two hundred forty-one".

Divisors: 1 17 113 1921 125993311921 2141886302657 14237244247073 242033152200241