Search a number
-
+
331121232214040 = 23576491082236999
BaseRepresentation
bin100101101001001110010101…
…1011011000111100000011000
31121102101212202222212100012202
41023102130223123013200120
5321400042240421322130
63132122554421025332
7126513501545555432
oct11322345333074030
91542355688770182
10331121232214040
11965617a92aa1a4
123117961a855248
131129b7a138a098
145baa4d3089652
152843353105145
hex12d272b6c7818

331121232214040 has 32 divisors (see below), whose sum is σ = 745120174500000. Its totient is φ = 132431176971264.

The previous prime is 331121232214013. The next prime is 331121232214163. The reversal of 331121232214040 is 40412232121133.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 331121232213994 and 331121232214012.

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, 540812540 + ... + 541424459.

It is an arithmetic number, because the mean of its divisors is an integer number (23285005453125).

Almost surely, 2331121232214040 is an apocalyptic number.

It is an amenable number.

331121232214040 is an abundant number, since it is smaller than the sum of its proper divisors (413998942285960).

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

331121232214040 is a wasteful number, since it uses less digits than its factorization.

331121232214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082244659 (or 1082244655 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 331121232214040 its reverse (40412232121133), we get a palindrome (371533464335173).

The spelling of 331121232214040 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, two hundred thirty-two million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 7649 15298 30596 38245 61192 76490 152980 305960 1082236999 2164473998 4328947996 5411184995 8657895992 10822369990 21644739980 43289479960 8278030805351 16556061610702 33112123221404 41390154026755 66224246442808 82780308053510 165560616107020 331121232214040