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290244020049 = 321795812
BaseRepresentation
bin1000011100100111110…
…01000100011101010001
31000202011121022220012100
410032103321010131101
514223404432120144
6341200344351013
726653342315164
oct4162371043521
91022147286170
10290244020049
11102101201155
1248302175469
13214a686bcc9
141009557dadb
15783ae53269
hex4393e44751

290244020049 has 9 divisors (see below), whose sum is σ = 419243696859. Its totient is φ = 193494935880.

The previous prime is 290244020047. The next prime is 290244020057. The reversal of 290244020049 is 940020442092.

The square root of 290244020049 is 538743.

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

290244020049 is a `hidden beast` number, since 2 + 9 + 0 + 2 + 440 + 200 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1165744449 + 289078275600 = 34143^2 + 537660^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 290244020049 - 21 = 290244020047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 290244019995 and 290244020022.

It is not an unprimeable number, because it can be changed into a prime (290244020047) 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, 1526439 + ... + 1706019.

Almost surely, 2290244020049 is an apocalyptic number.

290244020049 is the 538743-rd square number.

290244020049 is the 269372-nd centered octagonal number.

It is an amenable number.

290244020049 is a deficient number, since it is larger than the sum of its proper divisors (128999676810).

290244020049 is an frugal number, since it uses more digits than its factorization.

290244020049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359168 (or 179584 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 290244020049 by its sum of digits (36), we get a square (10448784721764 = 32324582).

The spelling of 290244020049 in words is "two hundred ninety billion, two hundred forty-four million, twenty thousand, forty-nine".

Divisors: 1 3 9 179581 538743 1616229 32249335561 96748006683 290244020049