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444242223140 = 225187311859109
BaseRepresentation
bin1100111011011101110…
…01100110000000100100
31120110200000010011121212
412131232321212000210
524234302002120030
6540025420330552
744044510410212
oct6355671460044
91513600104555
10444242223140
11161447176481
127211b9a3a58
1332b79560cc1
1417703d37cb2
15b850a50595
hex676ee66024

444242223140 has 24 divisors (see below), whose sum is σ = 933406829880. Its totient is φ = 177602001408.

The previous prime is 444242223133. The next prime is 444242223221. The reversal of 444242223140 is 41322242444.

It can be written as a sum of positive squares in 4 ways, for example, as 483736036 + 443758487104 = 21994^2 + 666152^2 .

It is a junction number, because it is equal to n+sod(n) for n = 444242223097 and 444242223106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5892095 + ... + 5967014.

It is an arithmetic number, because the mean of its divisors is an integer number (38891951245).

Almost surely, 2444242223140 is an apocalyptic number.

It is an amenable number.

444242223140 is an abundant number, since it is smaller than the sum of its proper divisors (489164606740).

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

444242223140 is a wasteful number, since it uses less digits than its factorization.

444242223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11860991 (or 11860989 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 444242223140 its reverse (41322242444), we get a palindrome (485564465584).

The spelling of 444242223140 in words is "four hundred forty-four billion, two hundred forty-two million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1873 3746 7492 9365 18730 37460 11859109 23718218 47436436 59295545 118591090 237182180 22212111157 44424222314 88848444628 111060555785 222121111570 444242223140