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4422135522114 = 2324119133132281
BaseRepresentation
bin100000001011001101111…
…0100010010001101000010
3120122202022020011002210100
41000112123310102031002
51034423013143201424
613223300115143230
7634326432513042
oct100263364221502
916582266132710
104422135522114
1114554652433a2
125b50582a4b16
1326100c388b4b
1411406527d722
157a06ad51dc9
hex4059bd12342

4422135522114 has 48 divisors (see below), whose sum is σ = 9820117531224. Its totient is φ = 1437340646400.

The previous prime is 4422135522083. The next prime is 4422135522139. The reversal of 4422135522114 is 4112255312244.

4422135522114 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 13 + 5 + 522 + 114 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3940800671025 + 481334851089 = 1985145^2 + 693783^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 154347 + ... + 2977934.

Almost surely, 24422135522114 is an apocalyptic number.

4422135522114 is an abundant number, since it is smaller than the sum of its proper divisors (5397982009110).

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

4422135522114 is a wasteful number, since it uses less digits than its factorization.

4422135522114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134243 (or 3134240 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The spelling of 4422135522114 in words is "four trillion, four hundred twenty-two billion, one hundred thirty-five million, five hundred twenty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 1913 3826 5739 11478 17217 34434 78433 156866 235299 470598 705897 1411794 3132281 6264562 9396843 18793686 28190529 56381058 128423521 256847042 385270563 770541126 1155811689 2311623378 5992053553 11984107106 17976160659 35952321318 53928481977 107856963954 245674195673 491348391346 737022587019 1474045174038 2211067761057 4422135522114