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4442412030444 = 22321737196184951
BaseRepresentation
bin100000010100101010001…
…1001000001100111101100
3120201200122022222110011100
41000221110121001213230
51040241024434433234
613240452123123100
7635645053135503
oct100512431014754
916650568873140
104442412030444
11146301a8611a3
125b8b76973490
13262bc1127a7b
1411502a18183a
157a855edb399
hex40a546419ec

4442412030444 has 72 divisors (see below), whose sum is σ = 12211336152288. Its totient is φ = 1356030374400.

The previous prime is 4442412030439. The next prime is 4442412030479. The reversal of 4442412030444 is 4440302142444.

It is a happy number.

4442412030444 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 4 + 1 + 203 + 0 + 444 = 666.

It is a super-3 number, since 3×44424120304443 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4442412030399 and 4442412030408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98069832 + ... + 98115119.

It is an arithmetic number, because the mean of its divisors is an integer number (169601891004).

Almost surely, 24442412030444 is an apocalyptic number.

It is an amenable number.

4442412030444 is an abundant number, since it is smaller than the sum of its proper divisors (7768924121844).

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

4442412030444 is a wasteful number, since it uses less digits than its factorization.

4442412030444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196185015 (or 196185010 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4442412030444 its reverse (4440302142444), we get a palindrome (8882714172888).

The spelling of 4442412030444 in words is "four trillion, four hundred forty-two billion, four hundred twelve million, thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 612 629 666 1258 1332 1887 2516 3774 5661 7548 11322 22644 196184951 392369902 588554853 784739804 1177109706 1765664559 2354219412 3335144167 3531329118 6670288334 7062658236 7258843187 10005432501 13340576668 14517686374 20010865002 21776529561 29035372748 30016297503 40021730004 43553059122 60032595006 65329588683 87106118244 120065190012 123400334179 130659177366 246800668358 261318354732 370201002537 493601336716 740402005074 1110603007611 1480804010148 2221206015222 4442412030444