Search a number
-
+
32323002023120 = 2453049313250173
BaseRepresentation
bin1110101100101110010010…
…00011011011110011010000
311020110001022120211110222112
413112113021003123303100
513214040002004214440
6152424552050324452
76544155056653544
oct726271103336320
9136401276743875
1032323002023120
11a332120a8a5a6
1237604b7b89728
13150607a11c193
147da627c35a24
153b0bdea24965
hex1d65c90dbcd0

32323002023120 has 40 divisors (see below), whose sum is σ = 75153449907816. Its totient is φ = 12928775827968.

The previous prime is 32323002023113. The next prime is 32323002023149. The reversal of 32323002023120 is 2132020032323.

It can be written as a sum of positive squares in 4 ways, for example, as 5226271498816 + 27096730524304 = 2286104^2 + 5205452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×323230020231202 (a number of 28 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 4185647 + ... + 9064526.

Almost surely, 232323002023120 is an apocalyptic number.

It is an amenable number.

32323002023120 is an abundant number, since it is smaller than the sum of its proper divisors (42830447884696).

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

32323002023120 is a wasteful number, since it uses less digits than its factorization.

32323002023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13280679 (or 13280673 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 32323002023120 its reverse (2132020032323), we get a palindrome (34455022055443).

The spelling of 32323002023120 in words is "thirty-two trillion, three hundred twenty-three billion, two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 30493 60986 121972 152465 243944 304930 487888 609860 1219720 2439440 13250173 26500346 53000692 66250865 106001384 132501730 212002768 265003460 530006920 1060013840 404037525289 808075050578 1616150101156 2020187626445 3232300202312 4040375252890 6464600404624 8080750505780 16161501011560 32323002023120