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4041416335221 = 321014446002569
BaseRepresentation
bin111010110011110111001…
…011110101111101110101
3112022100121020211112002200
4322303313023311331311
51012203310040211341
612332333453455113
7564661031023116
oct72636713657565
915270536745080
104041416335221
111318a56186291
125533061a1499
13234147428a75
14dd869a7220d
15701d6eb1db6
hex3acf72f5f75

4041416335221 has 12 divisors (see below), whose sum is σ = 5895399407820. Its totient is φ = 2667601540800.

The previous prime is 4041416335219. The next prime is 4041416335259. The reversal of 4041416335221 is 1225336141404.

4041416335221 is a `hidden beast` number, since 4 + 0 + 4 + 14 + 1 + 633 + 5 + 2 + 2 + 1 = 666.

4041416335221 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3629733694596 + 411682640625 = 1905186^2 + 641625^2 .

It is not a de Polignac number, because 4041416335221 - 21 = 4041416335219 is a prime.

It is a super-2 number, since 2×40414163352212 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041416335291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2223000376 + ... + 2223002193.

It is an arithmetic number, because the mean of its divisors is an integer number (491283283985).

Almost surely, 24041416335221 is an apocalyptic number.

It is an amenable number.

4041416335221 is a deficient number, since it is larger than the sum of its proper divisors (1853983072599).

4041416335221 is a wasteful number, since it uses less digits than its factorization.

4041416335221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446002676 (or 4446002673 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 4041416335221 in words is "four trillion, forty-one billion, four hundred sixteen million, three hundred thirty-five thousand, two hundred twenty-one".

Divisors: 1 3 9 101 303 909 4446002569 13338007707 40014023121 449046259469 1347138778407 4041416335221