Search a number
-
+
120433321344 = 273744804063
BaseRepresentation
bin111000000101001100…
…0101010010110000000
3102111212012112121122010
41300022120222112000
53433121412240334
6131154252012520
711462310224640
oct1601230522600
9374765477563
10120433321344
1147091519936
121b410a61140
13b483bc462b
145b86b02520
1531ed04c0e9
hex1c0a62a580

120433321344 has 64 divisors (see below), whose sum is σ = 365601162240. Its totient is φ = 34409519616.

The previous prime is 120433321339. The next prime is 120433321367. The reversal of 120433321344 is 443123334021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22399344 + ... + 22404719.

It is an arithmetic number, because the mean of its divisors is an integer number (5712518160).

Almost surely, 2120433321344 is an apocalyptic number.

120433321344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120433321344 is an abundant number, since it is smaller than the sum of its proper divisors (245167840896).

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

120433321344 is an equidigital number, since it uses as much as digits as its factorization.

120433321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44804087 (or 44804075 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 120433321344 its reverse (443123334021), we get a palindrome (563556655365).

The spelling of 120433321344 in words is "one hundred twenty billion, four hundred thirty-three million, three hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 44804063 89608126 134412189 179216252 268824378 313628441 358432504 537648756 627256882 716865008 940885323 1075297512 1254513764 1433730016 1881770646 2150595024 2509027528 2867460032 3763541292 4301190048 5018055056 5734920064 7527082584 8602380096 10036110112 15054165168 17204760192 20072220224 30108330336 40144440448 60216660672 120433321344