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444424304440010 = 251740164731007161
BaseRepresentation
bin110010100001100111001100…
…0110010111011001011001010
32011021120112210220112200021002
41211003032120302323023022
5431222421433414040020
64213113412410015002
7162416411365155056
oct14503163062731312
92137515726480232
10444424304440010
1111967531a814194
1241a184a8417462
13160ca05563c30b
147ba637306cc66
15365a7692c9975
hex1943398cbb2ca

444424304440010 has 64 divisors (see below), whose sum is σ = 849264733403424. Its totient is φ = 166869491712000.

The previous prime is 444424304439971. The next prime is 444424304440019. The reversal of 444424304440010 is 10044403424444.

It can be written as a sum of positive squares in 16 ways, for example, as 73083195374641 + 371341109065369 = 8548871^2 + 19270213^2 .

It is a super-3 number, since 3×4444243044400103 (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (444424304440019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440760830 + ... + 441767990.

Almost surely, 2444424304440010 is an apocalyptic number.

444424304440010 is a deficient number, since it is larger than the sum of its proper divisors (404840428963414).

444424304440010 is a wasteful number, since it uses less digits than its factorization.

444424304440010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014059.

The product of its (nonzero) digits is 393216, while the sum is 38.

Adding to 444424304440010 its reverse (10044403424444), we get a palindrome (454468707864454).

The spelling of 444424304440010 in words is "four hundred forty-four trillion, four hundred twenty-four billion, three hundred four million, four hundred forty thousand, ten".

Divisors: 1 2 5 10 17 34 85 170 401 802 2005 4010 6473 6817 12946 13634 32365 34085 64730 68170 110041 220082 550205 1007161 1100410 2014322 2595673 5035805 5191346 10071610 12978365 17121737 25956730 34243474 44126441 85608685 88252882 171217370 220632205 403871561 441264410 807743122 2019357805 4038715610 6519353153 6865816537 13038706306 13731633074 32596765765 34329082685 65193531530 68658165370 110829003601 221658007202 554145018005 1108290036010 2614260614353 5228521228706 13071303071765 26142606143530 44442430444001 88884860888002 222212152220005 444424304440010