Search a number
-
+
4242400240441 = 112347973678083
BaseRepresentation
bin111101101111000010110…
…000100110001100111001
3120000120101011111202211011
4331233002300212030321
51024001413430143231
613004533132233521
7615334430025346
oct75570260461471
916016334452734
104242400240441
111396212377aa0
1258625730b8a1
1324a09753b37c
141094946b17cd
157554b9d89b1
hex3dbc2c26339

4242400240441 has 32 divisors (see below), whose sum is σ = 4982891655168. Its totient is φ = 3573330224640.

The previous prime is 4242400240381. The next prime is 4242400240459. The reversal of 4242400240441 is 1440420042424.

It is a happy number.

It is not a de Polignac number, because 4242400240441 - 29 = 4242400239929 is a prime.

It is a super-2 number, since 2×42424002404412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4242400220441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685615 + ... + 2992468.

It is an arithmetic number, because the mean of its divisors is an integer number (155715364224).

Almost surely, 24242400240441 is an apocalyptic number.

It is an amenable number.

4242400240441 is a deficient number, since it is larger than the sum of its proper divisors (740491414727).

4242400240441 is a wasteful number, since it uses less digits than its factorization.

4242400240441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678261.

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 4242400240441 its reverse (1440420042424), we get a palindrome (5682820282865).

The spelling of 4242400240441 in words is "four trillion, two hundred forty-two billion, four hundred million, two hundred forty thousand, four hundred forty-one".

Divisors: 1 11 23 47 97 253 517 1067 1081 2231 4559 11891 24541 50149 104857 1153427 3678083 40458913 84595909 172869901 356774051 930554999 1901568911 3924514561 3976007723 8205803173 16768380397 43736084953 90263834903 184452184367 385672749131 4242400240441