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242024224442 = 2711313999101
BaseRepresentation
bin1110000101100111000…
…1001001011010111010
3212010201002021110220112
43201121301021122322
512431131200140232
6303103455024322
723325404651540
oct3413161113272
9763632243815
10242024224442
1193707402000
123aaa550b0a2
1319a9087ac80
14b9dd451d90
156467a064b2
hex3859c496ba

242024224442 has 64 divisors (see below), whose sum is σ = 491462270208. Its totient is φ = 87041592000.

The previous prime is 242024224433. The next prime is 242024224471. The reversal of 242024224442 is 244422420242.

242024224442 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2420242244422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242024224399 and 242024224408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257309 + ... + 741792.

It is an arithmetic number, because the mean of its divisors is an integer number (7679097972).

Almost surely, 2242024224442 is an apocalyptic number.

242024224442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242024224442 is an abundant number, since it is smaller than the sum of its proper divisors (249438045766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242024224442 is a wasteful number, since it uses less digits than its factorization.

242024224442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999156 (or 999134 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 242024224442 its reverse (244422420242), we get a palindrome (486446644684).

The spelling of 242024224442 in words is "two hundred forty-two billion, twenty-four million, two hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1331 1573 1694 2002 2662 3146 9317 11011 17303 18634 22022 34606 121121 242242 999101 1998202 6993707 10990111 12988313 13987414 21980222 25976626 76930777 90918191 120891221 142871443 153861554 181836382 241782442 285742886 846238547 1000100101 1329803431 1571585873 1692477094 2000200202 2659606862 3143171746 9308624017 11001101111 17287444603 18617248034 22002202222 34574889206 121012112221 242024224442