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144814460396543 = 7239719312033887
BaseRepresentation
bin100000111011010100111110…
…011110000110001111111111
3200222202010102201212020102022
4200323110332132012033333
5122440120003330142133
61231554502241550355
742334333220322560
oct4073247636061777
9628663381766368
10144814460396543
1142162516652553
12142aa0199453bb
1362a5c39291552
1427a90b3272167
1511b1e53010998
hex83b53e7863ff

144814460396543 has 16 divisors (see below), whose sum is σ = 166217837322240. Its totient is φ = 123590127183936.

The previous prime is 144814460396537. The next prime is 144814460396563. The reversal of 144814460396543 is 345693064418441.

It is a Cunningham number, because it is equal to 120338882-1.

It is not a de Polignac number, because 144814460396543 - 230 = 144813386654719 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144814460396513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6016946 + ... + 18050832.

It is an arithmetic number, because the mean of its divisors is an integer number (10388614832640).

Almost surely, 2144814460396543 is an apocalyptic number.

144814460396543 is a deficient number, since it is larger than the sum of its proper divisors (21403376925697).

144814460396543 is a wasteful number, since it uses less digits than its factorization.

144814460396543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12041326.

The product of its (nonzero) digits is 119439360, while the sum is 62.

The spelling of 144814460396543 in words is "one hundred forty-four trillion, eight hundred fourteen billion, four hundred sixty million, three hundred ninety-six thousand, five hundred forty-three".

Divisors: 1 7 239 1673 7193 50351 1719127 12033887 12033889 84237209 2876098993 20132692951 86559749191 605918244337 20687780056649 144814460396543