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444641374424013 = 31347674677752749
BaseRepresentation
bin110010100011001100010001…
…1001011001100101111001101
32011022100022002220000101200020
41211012120203023030233031
5431240001013323032023
64213401232201052353
7162441164522452224
oct14506304313145715
92138308086011606
10444641374424013
111197493910a3a88
1241a525887870b9
131611466a2b6030
147bb2a86249cbb
15366122114bde3
hex19466232ccbcd

444641374424013 has 64 divisors (see below), whose sum is σ = 663192811008000. Its totient is φ = 263241643306752.

The previous prime is 444641374423993. The next prime is 444641374424089. The reversal of 444641374424013 is 310424473146444.

It is not a de Polignac number, because 444641374424013 - 228 = 444641105988557 is a prime.

It is a super-2 number, since 2×4446413744240132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444641374425013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53476363 + ... + 61229111.

It is an arithmetic number, because the mean of its divisors is an integer number (10362387672000).

Almost surely, 2444641374424013 is an apocalyptic number.

It is an amenable number.

444641374424013 is a deficient number, since it is larger than the sum of its proper divisors (218551436583987).

444641374424013 is a wasteful number, since it uses less digits than its factorization.

444641374424013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7753346.

The product of its (nonzero) digits is 12386304, while the sum is 51.

The spelling of 444641374424013 in words is "four hundred forty-four trillion, six hundred forty-one billion, three hundred seventy-four million, four hundred twenty-four thousand, thirteen".

Divisors: 1 3 13 39 47 67 141 201 467 611 871 1401 1833 2613 3149 6071 9447 18213 21949 31289 40937 65847 93867 122811 285337 406757 856011 1220271 1470583 4411749 7752749 19117579 23258247 57352737 100785737 302357211 364379203 519434183 1093137609 1558302549 3620533783 4736929639 6752644379 10861601349 14210788917 20257933137 24413406601 47066939179 73240219803 141200817537 170165087801 242575763461 317374285813 510495263403 727727290383 952122857439 2212146141413 3153484924993 6636438424239 9460454774979 11401060882667 34203182648001 148213791474671 444641374424013