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42042414441 = 329679774357
BaseRepresentation
bin100111001001111011…
…000101010101101001
311000112000012221101210
4213021323011111221
51142100324230231
631151454503333
73015564424566
oct471173052551
9130460187353
1042042414441
1116914935265
128193b04b49
133c7025a411
14206b94786d
151160e76a46
hex9c9ec5569

42042414441 has 32 divisors (see below), whose sum is σ = 59462605440. Its totient is φ = 26382698496.

The previous prime is 42042414413. The next prime is 42042414481. The reversal of 42042414441 is 14441424024.

It is not a de Polignac number, because 42042414441 - 217 = 42042283369 is a prime.

It is a super-2 number, since 2×420424144412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42042414399 and 42042414408.

It is not an unprimeable number, because it can be changed into a prime (42042414481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528235 + ... + 602591.

It is an arithmetic number, because the mean of its divisors is an integer number (1858206420).

Almost surely, 242042414441 is an apocalyptic number.

It is an amenable number.

42042414441 is a deficient number, since it is larger than the sum of its proper divisors (17420190999).

42042414441 is a wasteful number, since it uses less digits than its factorization.

42042414441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74553.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 42042414441 its reverse (14441424024), we get a palindrome (56483838465).

The spelling of 42042414441 in words is "forty-two billion, forty-two million, four hundred fourteen thousand, four hundred forty-one".

Divisors: 1 3 29 67 87 97 201 291 1943 2813 5829 6499 8439 19497 74357 188471 223071 565413 2156353 4981919 6469059 7212629 14945757 21637887 144475651 209166241 433426953 483246143 627498723 1449738429 14014138147 42042414441