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444014000 = 2453222007
BaseRepresentation
bin11010011101110…
…001110110110000
31010221111020200222
4122131301312300
51402131422000
6112020432212
714001025313
oct3235616660
91127436628
10444014000
112086a8321
12104848668
1370cb21a1
1442d8097a
1528ea9a85
hex1a771db0

444014000 has 40 divisors (see below), whose sum is σ = 1073630688. Its totient is φ = 177604800.

The previous prime is 444013991. The next prime is 444014003. The reversal of 444014000 is 410444.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 444014000.

It is not an unprimeable number, because it can be changed into a prime (444014003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109004 + ... + 113003.

Almost surely, 2444014000 is an apocalyptic number.

444014000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444014000 is an abundant number, since it is smaller than the sum of its proper divisors (629616688).

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

444014000 is a wasteful number, since it uses less digits than its factorization.

444014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222030 (or 222014 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 444014000 is about 21071.6397083853. The cubic root of 444014000 is about 762.8963808472.

Adding to 444014000 its reverse (410444), we get a palindrome (444424444).

The spelling of 444014000 in words is "four hundred forty-four million, fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 222007 444014 888028 1110035 1776056 2220070 3552112 4440140 5550175 8880280 11100350 17760560 22200700 27750875 44401400 55501750 88802800 111003500 222007000 444014000