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42024144201241 = 448149091910429
BaseRepresentation
bin10011000111000100000100…
…01011111110011000011001
312111210110122212100100220011
421203202002023332120121
521002010421403414431
6225213343023201521
711565100316631046
oct1143420213763031
9174713585310804
1042024144201241
111243238091a684
124868688a462a1
131a5ab23c76837
14a53d9d7c01cd
154cd2276c1cb1
hex2638822fe619

42024144201241 has 8 divisors (see below), whose sum is σ = 42042107046600. Its totient is φ = 42006185195520.

The previous prime is 42024144201233. The next prime is 42024144201341. The reversal of 42024144201241 is 14210244142024.

It can be written as a sum of positive squares in 4 ways, for example, as 27237658298841 + 14786485902400 = 5218971^2 + 3845320^2 .

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 42024144201241 - 23 = 42024144201233 is a prime.

It is a super-3 number, since 3×420241442012413 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42024144201341) 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, 21042015 + ... + 22952443.

It is an arithmetic number, because the mean of its divisors is an integer number (5255263380825).

Almost surely, 242024144201241 is an apocalyptic number.

It is an amenable number.

42024144201241 is a deficient number, since it is larger than the sum of its proper divisors (17962845359).

42024144201241 is a wasteful number, since it uses less digits than its factorization.

42024144201241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919819.

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 42024144201241 its reverse (14210244142024), we get a palindrome (56234388343265).

The spelling of 42024144201241 in words is "forty-two trillion, twenty-four billion, one hundred forty-four million, two hundred one thousand, two hundred forty-one".

Divisors: 1 4481 4909 1910429 21997229 8560632349 9378295961 42024144201241