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2434142022 = 2313194338197
BaseRepresentation
bin1001000100010110…
…0000111101000110
320021122021020010020
42101011200331012
514441120021042
61041312040010
7114214602654
oct22105407506
96248236106
102434142022
11103a011a24
1257b233006
132ca3b1030
141913c9dd4
15e3a6c3ec
hex91160f46

2434142022 has 64 divisors (see below), whose sum is σ = 5647192320. Its totient is φ = 693028224.

The previous prime is 2434142017. The next prime is 2434142023. The reversal of 2434142022 is 2202414342.

It is a junction number, because it is equal to n+sod(n) for n = 2434141983 and 2434142001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434142023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44628 + ... + 82824.

It is an arithmetic number, because the mean of its divisors is an integer number (88237380).

Almost surely, 22434142022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434142022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823596160).

2434142022 is an abundant number, since it is smaller than the sum of its proper divisors (3213050298).

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

2434142022 is a wasteful number, since it uses less digits than its factorization.

2434142022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38277.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2434142022 is about 49337.0248596325. The cubic root of 2434142022 is about 1345.1848618458.

Adding to 2434142022 its reverse (2202414342), we get a palindrome (4636556364).

The spelling of 2434142022 in words is "two billion, four hundred thirty-four million, one hundred forty-two thousand, twenty-two".

Divisors: 1 2 3 6 13 19 26 38 39 43 57 78 86 114 129 247 258 494 559 741 817 1118 1482 1634 1677 2451 3354 4902 10621 21242 31863 38197 63726 76394 114591 229182 496561 725743 993122 1451486 1489683 1642471 2177229 2979366 3284942 4354458 4927413 9434659 9854826 18869318 21352123 28303977 31206949 42704246 56607954 62413898 64056369 93620847 128112738 187241694 405690337 811380674 1217071011 2434142022