Search a number
-
+
32243443324020 = 22325179130240689
BaseRepresentation
bin1110101010011010000101…
…11111000101010001110100
311020011102222000002211000100
413111031002333011101310
513211234032442332040
6152324233335314100
76535340404120515
oct725150277052164
9136142860084010
1032243443324020
11a301405198405
123748bb3b1b930
1314cb70b559676
147d683b932a0c
153adad5176b30
hex1d5342fc5474

32243443324020 has 36 divisors (see below), whose sum is σ = 97805111416740. Its totient is φ = 8598251553024.

The previous prime is 32243443323997. The next prime is 32243443324051. The reversal of 32243443324020 is 2042334434223.

32243443324020 is a `hidden beast` number, since 3 + 2 + 24 + 344 + 33 + 240 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21503364157584 + 10740079166436 = 4637172^2 + 3277206^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89565120165 + ... + 89565120524.

It is an arithmetic number, because the mean of its divisors is an integer number (2716808650465).

Almost surely, 232243443324020 is an apocalyptic number.

32243443324020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32243443324020 is an abundant number, since it is smaller than the sum of its proper divisors (65561668092720).

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

32243443324020 is a wasteful number, since it uses less digits than its factorization.

32243443324020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179130240704 (or 179130240699 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 32243443324020 its reverse (2042334434223), we get a palindrome (34285777758243).

The spelling of 32243443324020 in words is "thirty-two trillion, two hundred forty-three billion, four hundred forty-three million, three hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 179130240689 358260481378 537390722067 716520962756 895651203445 1074781444134 1612172166201 1791302406890 2149562888268 2686953610335 3224344332402 3582604813780 5373907220670 6448688664804 8060860831005 10747814441340 16121721662010 32243443324020