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444013430003 = 1113174316972503
BaseRepresentation
bin1100111011000010100…
…00110100010011110011
31120110002001121021102222
412131201100310103303
524233314414230003
6535551004431255
744036031611633
oct6354120642363
91513061537388
10444013430003
1116133a007840
127207724852b
1332b41035150
14176c17bc6c3
15b83a909c38
hex67614344f3

444013430003 has 64 divisors (see below), whose sum is σ = 565726436352. Its totient is φ = 342187130880.

The previous prime is 444013429933. The next prime is 444013430017. The reversal of 444013430003 is 300034310444.

It is a cyclic number.

It is not a de Polignac number, because 444013430003 - 214 = 444013413619 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444013430053) 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 63 ways as a sum of consecutive naturals, for example, 177391250 + ... + 177393752.

It is an arithmetic number, because the mean of its divisors is an integer number (8839475568).

Almost surely, 2444013430003 is an apocalyptic number.

444013430003 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

444013430003 is a deficient number, since it is larger than the sum of its proper divisors (121713006349).

444013430003 is a wasteful number, since it uses less digits than its factorization.

444013430003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284.

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 444013430003 its reverse (300034310444), we get a palindrome (744047740447).

The spelling of 444013430003 in words is "four hundred forty-four billion, thirteen million, four hundred thirty thousand, three".

Divisors: 1 11 13 17 43 143 187 221 473 559 731 1697 2431 2503 6149 8041 9503 18667 22061 27533 28849 32539 42551 72971 104533 107629 242671 317339 357929 375037 468061 553163 802681 948623 1183919 1240507 1399177 1829693 4125407 4247591 6084793 10434853 13645577 15390947 16126591 20126623 23786009 46723501 55218683 72209047 177392501 182646413 261646099 607405513 794299517 938717611 2009110543 2374403369 3104989021 10325893721 26118437059 34154879231 40364857273 444013430003