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42005541340041 = 3175857140624563
BaseRepresentation
bin10011000110100001011010…
…10111101100001110001001
312111201200122101210002202220
421203100231113230032021
521001204322040340131
6225201025043244253
711563541321132106
oct1143205527541611
9174650571702686
1042005541340041
11124254a5005724
124864b56979689
131a5914ab88266
14a53116ca3aad
154cc9d9432e96
hex26342d5ec389

42005541340041 has 16 divisors (see below), whose sum is σ = 59312066105664. Its totient is φ = 26351917922304.

The previous prime is 42005541340013. The next prime is 42005541340051. The reversal of 42005541340041 is 14004314550024.

It is a happy number.

It is not a de Polignac number, because 42005541340041 - 27 = 42005541339913 is a prime.

It is a super-3 number, since 3×420055413400413 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42005541339984 and 42005541340011.

It is not an unprimeable number, because it can be changed into a prime (42005541340001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70013575 + ... + 70610988.

It is an arithmetic number, because the mean of its divisors is an integer number (3707004131604).

Almost surely, 242005541340041 is an apocalyptic number.

It is an amenable number.

42005541340041 is a deficient number, since it is larger than the sum of its proper divisors (17306524765623).

42005541340041 is a wasteful number, since it uses less digits than its factorization.

42005541340041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140630440.

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 42005541340041 its reverse (14004314550024), we get a palindrome (56009855890065).

The spelling of 42005541340041 in words is "forty-two trillion, five billion, five hundred forty-one million, three hundred forty thousand, forty-one".

Divisors: 1 3 17 51 5857 17571 99569 298707 140624563 421873689 2390617571 7171852713 823638065491 2470914196473 14001847113347 42005541340041