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242151042155441 = 4110937540013073
BaseRepresentation
bin110111000011110000101110…
…110110011000001110110001
31011202101102011110212102020012
4313003300232312120032301
5223214400313242433231
62215002353020224305
7102001556364124616
oct6703605666301661
91152342143772205
10242151042155441
117017a753483141
12231aa5b209b095
13a51698c546c83
1443b225c90250d
151cedd870c4e2b
hexdc3c2ed983b1

242151042155441 has 8 divisors (see below), whose sum is σ = 248079846143304. Its totient is φ = 236223318215680.

The previous prime is 242151042155383. The next prime is 242151042155453. The reversal of 242151042155441 is 144551240151242.

It can be written as a sum of positive squares in 4 ways, for example, as 92863674096400 + 149287368059041 = 9636580^2 + 12218321^2 .

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 242151042155441 - 242 = 237752995644337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242151042152441) 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, 269558120 + ... + 270454953.

It is an arithmetic number, because the mean of its divisors is an integer number (31009980767913).

Almost surely, 2242151042155441 is an apocalyptic number.

It is an amenable number.

242151042155441 is a deficient number, since it is larger than the sum of its proper divisors (5928803987863).

242151042155441 is a wasteful number, since it uses less digits than its factorization.

242151042155441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540024051.

The product of its (nonzero) digits is 256000, while the sum is 41.

The spelling of 242151042155441 in words is "two hundred forty-two trillion, one hundred fifty-one billion, forty-two million, one hundred fifty-five thousand, four hundred forty-one".

Divisors: 1 41 10937 448417 540013073 22140535993 5906122979401 242151042155441