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434002144220034 = 231333032916844207
BaseRepresentation
bin110001010101110001111111…
…1101000110101001110000010
32002220200012101122101020110220
41202223203333220311032002
5423341142342410020114
64135013455502203510
7160262422502034225
oct14253437750651602
92086605348336426
10434002144220034
11116317303aaa595
1240814633b83596
13158222c3a86b80
147925b5ca115bc
1535295d22620a9
hex18ab8ffa35382

434002144220034 has 32 divisors (see below), whose sum is σ = 934776734411520. Its totient is φ = 133538709109632.

The previous prime is 434002144219993. The next prime is 434002144220039. The reversal of 434002144220034 is 430022441200434.

It is a super-2 number, since 2×4340021442200342 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434002144219977 and 434002144220004.

It is not an unprimeable number, because it can be changed into a prime (434002144220039) 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, 17343559 + ... + 34187765.

It is an arithmetic number, because the mean of its divisors is an integer number (29211772950360).

Almost surely, 2434002144220034 is an apocalyptic number.

434002144220034 is an abundant number, since it is smaller than the sum of its proper divisors (500774590191486).

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

434002144220034 is a wasteful number, since it uses less digits than its factorization.

434002144220034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17174554.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 434002144220034 its reverse (430022441200434), we get a palindrome (864024585420468).

The spelling of 434002144220034 in words is "four hundred thirty-four trillion, two billion, one hundred forty-four million, two hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 13 26 39 78 330329 660658 990987 1981974 4294277 8588554 12882831 16844207 25765662 33688414 50532621 101065242 218974691 437949382 656924073 1313848146 5564130054103 11128260108206 16692390162309 33384780324618 72333690703339 144667381406678 217001072110017 434002144220034