Search a number
-
+
444310040000 = 265411107751
BaseRepresentation
bin1100111011100101111…
…00010010110111000000
31120110211201201121212102
412131302330102313000
524234421332240000
6540040242045532
744046263012051
oct6356274226700
91513751647772
10444310040000
11161481486272
127213a6498a8
1332b8a616c18
141770cd4c728
15b8569993d5
hex6772f12dc0

444310040000 has 70 divisors (see below), whose sum is σ = 1101744597624. Its totient is φ = 177724000000.

The previous prime is 444310039997. The next prime is 444310040017. The reversal of 444310040000 is 40013444.

It is a super-2 number, since 2×4443100400002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5513876 + ... + 5593875.

Almost surely, 2444310040000 is an apocalyptic number.

444310040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444310040000 is an abundant number, since it is smaller than the sum of its proper divisors (657434557624).

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

444310040000 is an equidigital number, since it uses as much as digits as its factorization.

444310040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11107783 (or 11107758 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 444310040000 its reverse (40013444), we get a palindrome (444350053444).

The spelling of 444310040000 in words is "four hundred forty-four billion, three hundred ten million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 11107751 22215502 44431004 55538755 88862008 111077510 177724016 222155020 277693775 355448032 444310040 555387550 710896064 888620080 1110775100 1388468875 1777240160 2221550200 2776937750 3554480320 4443100400 5553875500 6942344375 8886200800 11107751000 13884688750 17772401600 22215502000 27769377500 44431004000 55538755000 88862008000 111077510000 222155020000 444310040000