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444898338049 = 112606372
BaseRepresentation
bin1100111100101100000…
…00011110010100000001
31120112100201201021002001
412132112000132110001
524242122433304144
6540214455224001
744066665322524
oct6362600362401
91515321637061
10444898338049
11161753571300
1272283678001
1332c52476389
141776712abbb
15b88d454bd4
hex679601e501

444898338049 has 9 divisors (see below), whose sum is σ = 489028552131. Its totient is φ = 404446364520.

The previous prime is 444898338037. The next prime is 444898338193. The reversal of 444898338049 is 940833898444.

The square root of 444898338049 is 667007.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 441354279025 + 3544059024 = 664345^2 + 59532^2 .

It is not a de Polignac number, because 444898338049 - 27 = 444898337921 is a prime.

It is a super-2 number, since 2×4448983380492 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444898339049) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7306759 + ... + 7367395.

Almost surely, 2444898338049 is an apocalyptic number.

444898338049 is the 667007-th square number.

444898338049 is the 333504-th centered octagonal number.

It is an amenable number.

444898338049 is a deficient number, since it is larger than the sum of its proper divisors (44130214082).

444898338049 is an frugal number, since it uses more digits than its factorization.

444898338049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121296 (or 60648 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 64.

Multiplying 444898338049 by its sum of digits (64), we get a square (28473493635136 = 53360562).

The spelling of 444898338049 in words is "four hundred forty-four billion, eight hundred ninety-eight million, three hundred thirty-eight thousand, forty-nine".

Divisors: 1 11 121 60637 667007 7337077 3676845769 40445303459 444898338049