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4021221412341 = 33733711735413
BaseRepresentation
bin111010100001000011011…
…110010100110111110101
3112020102110211112010221000
4322201003132110313311
51011340430140143331
612315153522313513
7563344421016000
oct72410336246765
915212424463830
104021221412341
111310432721881
1254b40aab8899
13232279553a63
14dc8b192a537
156e9040910e6
hex3a843794df5

4021221412341 has 64 divisors (see below), whose sum is σ = 7135131712000. Its totient is φ = 2235736810944.

The previous prime is 4021221412321. The next prime is 4021221412433. The reversal of 4021221412341 is 1432141221204.

4021221412341 is a `hidden beast` number, since 4 + 0 + 21 + 221 + 412 + 3 + 4 + 1 = 666.

It is not a de Polignac number, because 4021221412341 - 26 = 4021221412277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021221412321) 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 63 ways as a sum of consecutive naturals, for example, 5525050 + ... + 6210363.

It is an arithmetic number, because the mean of its divisors is an integer number (111486433000).

Almost surely, 24021221412341 is an apocalyptic number.

It is an amenable number.

4021221412341 is a deficient number, since it is larger than the sum of its proper divisors (3113910299659).

4021221412341 is a wasteful number, since it uses less digits than its factorization.

4021221412341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11735480 (or 11735460 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4021221412341 its reverse (1432141221204), we get a palindrome (5453362633545).

The spelling of 4021221412341 in words is "four trillion, twenty-one billion, two hundred twenty-one million, four hundred twelve thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 27 37 49 63 111 147 189 259 333 343 441 777 999 1029 1323 1813 2331 3087 5439 6993 9261 12691 16317 38073 48951 114219 342657 11735413 35206239 82147891 105618717 246443673 316856151 434210281 575035237 739331019 1302630843 1725105711 2217993057 3039471967 3907892529 4025246659 5175317133 9118415901 11723677587 12075739977 15525951399 21276303769 27355247703 36227219931 63828911307 82065743109 108681659793 148934126383 191486733921 446802379149 574460201763 1340407137447 4021221412341