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542240246241 = 33171181351299
BaseRepresentation
bin1111110010000000000…
…10011000100111100001
31220211121122200112212000
413321000002120213201
532341002000334431
61053033550154213
754114135021321
oct7710002304741
91824548615760
10542240246241
11199a65534711
128910b1b2969
133c196383615
141c35d147281
15e1891369e6
hex7e400989e1

542240246241 has 16 divisors (see below), whose sum is σ = 850572936000. Its totient is φ = 340229173824.

The previous prime is 542240246239. The next prime is 542240246243. The reversal of 542240246241 is 142642042245.

542240246241 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 4 + 0 + 24 + 624 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (542240246239) and next prime (542240246243).

It is not a de Polignac number, because 542240246241 - 21 = 542240246239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542240246196 and 542240246205.

It is not an unprimeable number, because it can be changed into a prime (542240246243) 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, 590675191 + ... + 590676108.

It is an arithmetic number, because the mean of its divisors is an integer number (53160808500).

Almost surely, 2542240246241 is an apocalyptic number.

542240246241 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

542240246241 is a deficient number, since it is larger than the sum of its proper divisors (308332689759).

542240246241 is a wasteful number, since it uses less digits than its factorization.

542240246241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181351325 (or 1181351319 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 542240246241 its reverse (142642042245), we get a palindrome (684882288486).

The spelling of 542240246241 in words is "five hundred forty-two billion, two hundred forty million, two hundred forty-six thousand, two hundred forty-one".

Divisors: 1 3 9 17 27 51 153 459 1181351299 3544053897 10632161691 20082972083 31896485073 60248916249 180746748747 542240246241