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242432120441 = 7397264732957
BaseRepresentation
bin1110000111001000010…
…1001001011001111001
3212011202111210202000202
43201302011021121321
512433000110323231
6303212145411545
723341460010650
oct3416205113171
9764674722022
10242432120441
11938a6680335
123ab9a039bb5
1319b27225554
14ba3b6b0197
15648d7295cb
hex3872149679

242432120441 has 16 divisors (see below), whose sum is σ = 277876544256. Its totient is φ = 207190944576.

The previous prime is 242432120393. The next prime is 242432120459. The reversal of 242432120441 is 144021234242.

It is a happy number.

It is not a de Polignac number, because 242432120441 - 218 = 242431858297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242432120461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7339535 + ... + 7372491.

It is an arithmetic number, because the mean of its divisors is an integer number (17367284016).

Almost surely, 2242432120441 is an apocalyptic number.

It is an amenable number.

242432120441 is a deficient number, since it is larger than the sum of its proper divisors (35444423815).

242432120441 is a wasteful number, since it uses less digits than its factorization.

242432120441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36008.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 242432120441 its reverse (144021234242), we get a palindrome (386453354683).

The spelling of 242432120441 in words is "two hundred forty-two billion, four hundred thirty-two million, one hundred twenty thousand, four hundred forty-one".

Divisors: 1 7 397 2647 2779 18529 32957 230699 1050859 7356013 13083929 87237179 91587503 610660253 34633160063 242432120441