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444114020 = 22573172243
BaseRepresentation
bin11010011110001…
…010010001100100
31010221200022220102
4122132022101210
51402143122040
6112022523232
714001623030
oct3236122144
91127608812
10444114020
11208766489
12104896518
137101887c
1442da91c0
1528ec9515
hex1a78a464

444114020 has 24 divisors (see below), whose sum is σ = 1065873984. Its totient is φ = 152267616.

The previous prime is 444114007. The next prime is 444114043. The reversal of 444114020 is 20411444.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 444113983 and 444114001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1585982 + ... + 1586261.

It is an arithmetic number, because the mean of its divisors is an integer number (44411416).

Almost surely, 2444114020 is an apocalyptic number.

It is an amenable number.

444114020 is an abundant number, since it is smaller than the sum of its proper divisors (621759964).

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

444114020 is a wasteful number, since it uses less digits than its factorization.

444114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172259 (or 3172257 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 444114020 is about 21074.0129068955. The cubic root of 444114020 is about 762.9536606981.

Adding to 444114020 its reverse (20411444), we get a palindrome (464525464).

The spelling of 444114020 in words is "four hundred forty-four million, one hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 3172243 6344486 12688972 15861215 22205701 31722430 44411402 63444860 88822804 111028505 222057010 444114020