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42044321222241 = 31310174171439107
BaseRepresentation
bin10011000111101001101001…
…10101001100111001100001
312111212101202000222020022020
421203310310311030321201
521002323232213102431
6225230521114532053
711566413321525132
oct1143646465147141
9174771660866266
1042044321222241
111243a995267148
12487057a137029
131a5c9bb221410
14a54d553c5c89
154cda08c58696
hex263d34d4ce61

42044321222241 has 32 divisors (see below), whose sum is σ = 60977331558528. Its totient is φ = 25613784230400.

The previous prime is 42044321222227. The next prime is 42044321222251. The reversal of 42044321222241 is 14222212344024.

42044321222241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42044321222241 - 29 = 42044321221729 is a prime.

It is a super-2 number, since 2×420443212222412 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42044321222251) 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 31 ways as a sum of consecutive naturals, for example, 28496010 + ... + 29935116.

It is an arithmetic number, because the mean of its divisors is an integer number (1905541611204).

Almost surely, 242044321222241 is an apocalyptic number.

It is an amenable number.

42044321222241 is a deficient number, since it is larger than the sum of its proper divisors (18933010336287).

42044321222241 is a wasteful number, since it uses less digits than its factorization.

42044321222241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446641.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 42044321222241 its reverse (14222212344024), we get a palindrome (56266533566265).

The spelling of 42044321222241 in words is "forty-two trillion, forty-four billion, three hundred twenty-one million, two hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 3 13 39 101 303 1313 3939 7417 22251 96421 289263 749117 1439107 2247351 4317321 9738521 18708391 29215563 56125173 145349807 436049421 1889547491 5668642473 10673856619 32021569857 138760136047 416280408141 1078059518519 3234178555557 14014773740747 42044321222241