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20014433441002 = 27111389112328309
BaseRepresentation
bin1001000110011111110010…
…01100100001010011101010
32121212100202021112021111201
410203033321030201103222
510110404024430103002
6110322300452514414
74133665214161540
oct443177114412352
977770667467451
1020014433441002
1164170899a1980
1222b2b2131ba0a
13b22478642480
144d29bd121d90
1524a94c086087
hex1233f93214ea

20014433441002 has 64 divisors (see below), whose sum is σ = 40761697132800. Its totient is φ = 7117121594880.

The previous prime is 20014433440979. The next prime is 20014433441011.

20014433441002 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55985977 + ... + 56342332.

It is an arithmetic number, because the mean of its divisors is an integer number (636901517700).

Almost surely, 220014433441002 is an apocalyptic number.

20014433441002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20014433441002 is an abundant number, since it is smaller than the sum of its proper divisors (20747263691798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20014433441002 is a wasteful number, since it uses less digits than its factorization.

20014433441002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112328431.

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 2001443 and 3441002, that added together give a palindrome (5442445).

The spelling of 20014433441002 in words is "twenty trillion, fourteen billion, four hundred thirty-three million, four hundred forty-one thousand, two".

Divisors: 1 2 7 11 13 14 22 26 77 89 91 143 154 178 182 286 623 979 1001 1157 1246 1958 2002 2314 6853 8099 12727 13706 16198 25454 89089 178178 112328309 224656618 786298163 1235611399 1460268017 1572596326 2471222798 2920536034 8649279793 9997219501 10221876119 16062948187 17298559586 19994439002 20443752238 32125896374 69980536507 109969414511 112440637309 129963853513 139961073014 219938829022 224881274618 259927707026 769785901577 909746974591 1429602388643 1539571803154 1819493949182 2859204777286 10007216720501 20014433441002