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440104221 = 32711993461
BaseRepresentation
bin11010001110110…
…111010100011101
31010200010121111100
4122032313110131
51400131313341
6111400543313
713622552454
oct3216672435
91120117440
10440104221
112064778a7
12103481b39
13702436cb
1442643b9b
15289863b6
hex1a3b751d

440104221 has 24 divisors (see below), whose sum is σ = 648086400. Its totient is φ = 287733600.

The previous prime is 440104219. The next prime is 440104289. The reversal of 440104221 is 122401044.

440104221 is a `hidden beast` number, since 440 + 1 + 0 + 4 + 221 = 666.

It is not a de Polignac number, because 440104221 - 21 = 440104219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 440104194 and 440104203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440104121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125431 + ... + 128891.

It is an arithmetic number, because the mean of its divisors is an integer number (27003600).

Almost surely, 2440104221 is an apocalyptic number.

It is an amenable number.

440104221 is a deficient number, since it is larger than the sum of its proper divisors (207982179).

440104221 is a wasteful number, since it uses less digits than its factorization.

440104221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 440104221 is about 20978.6610869235. The cubic root of 440104221 is about 760.6505400642.

Adding to 440104221 its reverse (122401044), we get a palindrome (562505265).

The spelling of 440104221 in words is "four hundred forty million, one hundred four thousand, two hundred twenty-one".

Divisors: 1 3 9 71 199 213 597 639 1791 3461 10383 14129 31149 42387 127161 245731 688739 737193 2066217 2211579 6198651 48900469 146701407 440104221