Search a number
-
+
242540440441 = 13194743947591
BaseRepresentation
bin1110000111100010001…
…0010110101101111001
3212012001001121222010121
43201320202112231321
512433210323043231
6303231015213241
723344243504465
oct3417042265571
9765031558117
10242540440441
11939518347a2
123b00a377221
1319b437c0020
14ba4bc294a5
156497ec4311
hex3878896b79

242540440441 has 32 divisors (see below), whose sum is σ = 281440051200. Its totient is φ = 207110157120.

The previous prime is 242540440433. The next prime is 242540440447. The reversal of 242540440441 is 144044045242.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 242540440441 - 23 = 242540440433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242540440397 and 242540440406.

It is not an unprimeable number, because it can be changed into a prime (242540440447) 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, 5072556 + ... + 5120146.

It is an arithmetic number, because the mean of its divisors is an integer number (8795001600).

Almost surely, 2242540440441 is an apocalyptic number.

It is an amenable number.

242540440441 is a deficient number, since it is larger than the sum of its proper divisors (38899610759).

242540440441 is a wasteful number, since it uses less digits than its factorization.

242540440441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48109.

The product of its (nonzero) digits is 81920, while the sum is 34.

Adding to 242540440441 its reverse (144044045242), we get a palindrome (386584485683).

The spelling of 242540440441 in words is "two hundred forty-two billion, five hundred forty million, four hundred forty thousand, four hundred forty-one".

Divisors: 1 13 19 47 247 439 611 893 5707 8341 11609 20633 47591 108433 268229 392027 618683 904229 2236777 5096351 11754977 20892449 29078101 42498763 271601837 396956531 552483919 981945103 5160434903 12765286339 18656956957 242540440441