Search a number
-
+
140420220041344 = 273539330995761
BaseRepresentation
bin11111111011011000100001…
…010101011011100010000000
3200102012001010120101102211011
4133323120201111123202000
5121401121102312310334
61214352054124530304
741402011645511665
oct3773304125334200
9612161116342734
10140420220041344
1140818976513a11
12138ba4676b0994
1360477541a9b39
142696536a93a6c
1511379bb118564
hex7fb62155b880

140420220041344 has 32 divisors (see below), whose sum is σ = 279751320058140. Its totient is φ = 70208124026880.

The previous prime is 140420220041341. The next prime is 140420220041369. The reversal of 140420220041344 is 443140022024041.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 118768322055744 + 21651897985600 = 10898088^2 + 4653160^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×1404202200413443 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (140420220041341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10967577 + ... + 20028184.

Almost surely, 2140420220041344 is an apocalyptic number.

It is an amenable number.

140420220041344 is a deficient number, since it is larger than the sum of its proper divisors (139331100016796).

140420220041344 is an equidigital number, since it uses as much as digits as its factorization.

140420220041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31031168 (or 31031156 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 140420220041344 its reverse (443140022024041), we get a palindrome (583560242065385).

The spelling of 140420220041344 in words is "one hundred forty trillion, four hundred twenty billion, two hundred twenty million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 35393 70786 141572 283144 566288 1132576 2265152 4530304 30995761 61991522 123983044 247966088 495932176 991864352 1983728704 3967457408 1097032969073 2194065938146 4388131876292 8776263752584 17552527505168 35105055010336 70210110020672 140420220041344