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32240442312 = 2334132833547
BaseRepresentation
bin11110000001101011…
…100001101111001000
310002012220002011110000
4132001223201233020
51012012023123222
622451104323000
72220643144431
oct360153415710
9102186064400
1032240442312
1112744986551
1262b9313460
13306a5b6700
1417bbc12488
15c8a6839ac
hex781ae1bc8

32240442312 has 240 divisors, whose sum is σ = 98989838640. Its totient is φ = 9797853312.

The previous prime is 32240442307. The next prime is 32240442317. The reversal of 32240442312 is 21324404223.

32240442312 is a `hidden beast` number, since 3 + 22 + 404 + 4 + 231 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (32240442307) and next prime (32240442317).

It is a super-2 number, since 2×322404423122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (32240442317) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 9087723 + ... + 9091269.

It is an arithmetic number, because the mean of its divisors is an integer number (412457661).

Almost surely, 232240442312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32240442312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49494919320).

32240442312 is an abundant number, since it is smaller than the sum of its proper divisors (66749396328).

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

32240442312 is a wasteful number, since it uses less digits than its factorization.

32240442312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 32240442312 its reverse (21324404223), we get a palindrome (53564846535).

It can be divided in two parts, 32240 and 442312, that added together give a cube (474552 = 783).

The spelling of 32240442312 in words is "thirty-two billion, two hundred forty million, four hundred forty-two thousand, three hundred twelve".