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242320422401 = 6179191263269
BaseRepresentation
bin1110000110101101101…
…1000011011000000001
3212011110201121220010022
43201223123003120001
512432233012004101
6303153115343225
723335632414461
oct3415333033001
9764421556108
10242320422401
1193849619a02
123ab68751b15
1319b0a047335
14ba2a915ba1
156483a13a1b
hex386b6c3601

242320422401 has 16 divisors (see below), whose sum is σ = 250717286400. Its totient is φ = 234097905600.

The previous prime is 242320422367. The next prime is 242320422457. The reversal of 242320422401 is 104224023242.

It is a cyclic number.

It is not a de Polignac number, because 242320422401 - 210 = 242320421377 is a prime.

It is a super-2 number, since 2×2423204224012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242320422601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 788795 + ... + 1052063.

It is an arithmetic number, because the mean of its divisors is an integer number (15669830400).

Almost surely, 2242320422401 is an apocalyptic number.

It is an amenable number.

242320422401 is a deficient number, since it is larger than the sum of its proper divisors (8396863999).

242320422401 is a wasteful number, since it uses less digits than its factorization.

242320422401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263600.

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 242320422401 its reverse (104224023242), we get a palindrome (346544445643).

The spelling of 242320422401 in words is "two hundred forty-two billion, three hundred twenty million, four hundred twenty-two thousand, four hundred one".

Divisors: 1 61 79 191 4819 11651 15089 263269 920429 16059409 20798251 50284379 1268693311 3067347119 3972465941 242320422401