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4413312414004 = 2213372293821421
BaseRepresentation
bin100000000111000110111…
…1010110011000100110100
3120121220112022220202211111
41000032031322303010310
51034301430434222004
613215240413244404
7633564665363554
oct100161572630464
916556468822744
104413312414004
11145174789170a
125b33b5493704
13260234461b10
14113869553164
1579c01467a04
hex4038deb3134

4413312414004 has 24 divisors (see below), whose sum is σ = 8542190975528. Its totient is φ = 1981861706880.

The previous prime is 4413312414001. The next prime is 4413312414019. The reversal of 4413312414004 is 4004142133144.

It can be written as a sum of positive squares in 4 ways, for example, as 70681539600 + 4342630874404 = 265860^2 + 2083898^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4413312414001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146908787 + ... + 1146912634.

Almost surely, 24413312414004 is an apocalyptic number.

It is an amenable number.

4413312414004 is a deficient number, since it is larger than the sum of its proper divisors (4128878561524).

4413312414004 is a wasteful number, since it uses less digits than its factorization.

4413312414004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293821475 (or 2293821473 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 4413312414004 its reverse (4004142133144), we get a palindrome (8417454547148).

The spelling of 4413312414004 in words is "four trillion, four hundred thirteen billion, three hundred twelve million, four hundred fourteen thousand, four".

Divisors: 1 2 4 13 26 37 52 74 148 481 962 1924 2293821421 4587642842 9175285684 29819678473 59639356946 84871392577 119278713892 169742785154 339485570308 1103328103501 2206656207002 4413312414004