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1144435332222 = 2347131929140891
BaseRepresentation
bin10000101001110101101…
…010010101010001111110
311001101222122222112020000
4100221311222111101332
5122222300421112342
62233425112535130
7145453113551040
oct20516552252176
94041878875200
101144435332222
11401396a00856
121659710b14a6
1383bc5a11870
143d568b49a90
151eb81a5044c
hex10a75a9547e

1144435332222 has 320 divisors, whose sum is σ = 3436863091200. Its totient is φ = 276081281280.

The previous prime is 1144435332197. The next prime is 1144435332233. The reversal of 1144435332222 is 2222335344411.

1144435332222 is a `hidden beast` number, since 1 + 1 + 44 + 43 + 533 + 22 + 22 = 666.

It is a super-2 number, since 2×11444353322222 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8052397 + ... + 8193287.

It is an arithmetic number, because the mean of its divisors is an integer number (10740197160).

Almost surely, 21144435332222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144435332222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718431545600).

1144435332222 is an abundant number, since it is smaller than the sum of its proper divisors (2292427758978).

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

1144435332222 is a wasteful number, since it uses less digits than its factorization.

1144435332222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140973 (or 140964 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The spelling of 1144435332222 in words is "one trillion, one hundred forty-four billion, four hundred thirty-five million, three hundred thirty-two thousand, two hundred twenty-two".