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242345000401 = 7313463238897
BaseRepresentation
bin1110000110110011100…
…0110011110111010001
3212011112102212120210121
43201230320303313101
512432310310003101
6303155354230241
723336351341450
oct3415470636721
9764472776717
10242345000401
11938614867a9
123ab74a25381
1319b1217142a
14ba2dcb2b97
156485c6b0a1
hex386ce33dd1

242345000401 has 16 divisors (see below), whose sum is σ = 278451864064. Its totient is φ = 206612550144.

The previous prime is 242345000383. The next prime is 242345000431. The reversal of 242345000401 is 104000543242.

It is a happy number.

It is not a de Polignac number, because 242345000401 - 227 = 242210782673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242345000431) 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, 894985 + ... + 1133881.

It is an arithmetic number, because the mean of its divisors is an integer number (17403241504).

Almost surely, 2242345000401 is an apocalyptic number.

It is an amenable number.

242345000401 is a deficient number, since it is larger than the sum of its proper divisors (36106863663).

242345000401 is a wasteful number, since it uses less digits than its factorization.

242345000401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239680.

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 242345000401 its reverse (104000543242), we get a palindrome (346345543643).

The spelling of 242345000401 in words is "two hundred forty-two billion, three hundred forty-five million, four hundred one", and thus it is an aban number.

Divisors: 1 7 313 463 2191 3241 144919 238897 1014433 1672279 74774761 110609311 523423327 774265177 34620714343 242345000401