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42004004335241 = 1310631930390403
BaseRepresentation
bin10011000110011110100011…
…10000011110111010001001
312111201112200021122011120012
421203033101300132322021
521001143200102211431
6225200212340041305
711563455245612414
oct1143172160367211
9174645607564505
1042004004335241
1112424886450223
1248647a8093235
131a58c6460a870
14a5300cacab7b
154cc94952922b
hex2633d1c1ee89

42004004335241 has 8 divisors (see below), whose sum is σ = 45235508545920. Its totient is φ = 38772561118032.

The previous prime is 42004004335003. The next prime is 42004004335247. The reversal of 42004004335241 is 14253340040024.

42004004335241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42004004335241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42004004335198 and 42004004335207.

It is not an unprimeable number, because it can be changed into a prime (42004004335247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13813055 + ... + 16577348.

It is an arithmetic number, because the mean of its divisors is an integer number (5654438568240).

Almost surely, 242004004335241 is an apocalyptic number.

It is an amenable number.

42004004335241 is a deficient number, since it is larger than the sum of its proper divisors (3231504210679).

42004004335241 is a wasteful number, since it uses less digits than its factorization.

42004004335241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30496735.

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 42004004335241 its reverse (14253340040024), we get a palindrome (56257344375265).

The spelling of 42004004335241 in words is "forty-two trillion, four billion, four million, three hundred thirty-five thousand, two hundred forty-one".

Divisors: 1 13 106319 1382147 30390403 395075239 3231077256557 42004004335241