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32422011414 = 2313171011092221
BaseRepresentation
bin11110001100100000…
…001010001000010110
310002200112201211102120
4132030200022020112
51012400013331124
622521112120410
72225306356422
oct361440121026
9102615654376
1032422011414
1112828420061
12634a096106
1330990b9850
1417d7d97b82
15c9b59bd79
hex78c80a216

32422011414 has 128 divisors (see below), whose sum is σ = 75390860160. Its totient is φ = 9206784000.

The previous prime is 32422011383. The next prime is 32422011421. The reversal of 32422011414 is 41411022423.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14596824 + ... + 14599044.

It is an arithmetic number, because the mean of its divisors is an integer number (588991095).

Almost surely, 232422011414 is an apocalyptic number.

32422011414 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32422011414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37695430080).

32422011414 is an abundant number, since it is smaller than the sum of its proper divisors (42968848746).

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

32422011414 is a wasteful number, since it uses less digits than its factorization.

32422011414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 32422011414 its reverse (41411022423), we get a palindrome (73833033837).

The spelling of 32422011414 in words is "thirty-two billion, four hundred twenty-two million, eleven thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 101 102 109 202 218 221 303 327 442 606 654 663 1313 1326 1417 1717 1853 2221 2626 2834 3434 3706 3939 4251 4442 5151 5559 6663 7878 8502 10302 11009 11118 13326 22018 22321 24089 28873 33027 37757 44642 48178 57746 66054 66963 72267 75514 86619 113271 133926 143117 144534 173238 187153 224321 226542 242089 286234 374306 429351 448642 484178 490841 561459 672963 726267 858702 981682 1122918 1345926 1452534 1472523 2432989 2916173 2945046 3147157 3813457 4115513 4865978 5832346 6294314 7298967 7626914 8231026 8748519 9441471 11440371 12346539 14597934 17497038 18882942 22880742 24450989 24693078 48901978 49574941 53501669 73352967 99149882 107003338 146705934 148724823 160505007 297449646 317862857 321010014 415666813 635725714 831333626 953588571 1247000439 1907177142 2494000878 5403668569 10807337138 16211005707 32422011414