Search a number
-
+
240244081609 = 7614292
BaseRepresentation
bin1101111110111110101…
…0011100001111001001
3211222010000121212000111
43133233222130033021
512414004441102414
6302211104234321
723233321000000
oct3375752341711
9758100555014
10240244081609
1192983580384
123a68930b9a1
1319868b2130c
14b8b0c67c37
1563b15c18c4
hex37efa9c3c9

240244081609 has 21 divisors (see below), whose sum is σ = 280480699047. Its totient is φ = 205779395304.

The previous prime is 240244081601. The next prime is 240244081613. The reversal of 240244081609 is 906180442042.

The square root of 240244081609 is 490147.

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., 16193326009 + 224050755600 = 127253^2 + 473340^2 .

It is not a de Polignac number, because 240244081609 - 23 = 240244081601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240244081601) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 168119707 + ... + 168121135.

Almost surely, 2240244081609 is an apocalyptic number.

240244081609 is the 490147-th square number.

240244081609 is the 245074-th centered octagonal number.

It is an amenable number.

240244081609 is a deficient number, since it is larger than the sum of its proper divisors (40236617438).

240244081609 is an frugal number, since it uses more digits than its factorization.

240244081609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 240244081609 in words is "two hundred forty billion, two hundred forty-four million, eighty-one thousand, six hundred nine".

Divisors: 1 7 49 343 1429 2401 10003 16807 70021 117649 490147 2042041 3431029 14294287 24017203 100060009 168120421 700420063 4902940441 34320583087 240244081609