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4400423304201 = 3237197162141381
BaseRepresentation
bin100000000001000110110…
…1010101111110000001001
3120120200021001210011010100
41000002031222233300021
51034044031331213301
613205305423040013
7632630406636141
oct100021552576011
916520231704110
104400423304201
111447233266751
125b09b8a40009
1325bc5c047722
14112da5811921
15796e9b1c286
hex4008daafc09

4400423304201 has 48 divisors (see below), whose sum is σ = 6565298330448. Its totient is φ = 2838019161600.

The previous prime is 4400423304161. The next prime is 4400423304259. The reversal of 4400423304201 is 1024033240044.

It is a happy number.

4400423304201 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 4 + 233 + 0 + 420 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1965887214201 + 2434536090000 = 1402101^2 + 1560300^2 .

It is not a de Polignac number, because 4400423304201 - 217 = 4400423173129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4400423302201) 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 47 ways as a sum of consecutive naturals, for example, 106318531 + ... + 106359911.

It is an arithmetic number, because the mean of its divisors is an integer number (136777048551).

Almost surely, 24400423304201 is an apocalyptic number.

It is an amenable number.

4400423304201 is a deficient number, since it is larger than the sum of its proper divisors (2164875026247).

4400423304201 is a wasteful number, since it uses less digits than its factorization.

4400423304201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43242 (or 43239 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4400423304201 its reverse (1024033240044), we get a palindrome (5424456544245).

The spelling of 4400423304201 in words is "four trillion, four hundred billion, four hundred twenty-three million, three hundred four thousand, two hundred one".

Divisors: 1 3 9 37 111 197 333 591 1621 1773 4863 7289 14589 21867 41381 59977 65601 124143 179931 319337 372429 539793 958011 1531097 2874033 4593291 8152057 11815469 13779873 24456171 35446407 67078601 73368513 106339221 201235803 301626109 603707409 904878327 2481908237 2714634981 7445724711 13214484397 22337174133 39643453191 118930359573 488935922689 1466807768067 4400423304201