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120342311024 = 24131746737283
BaseRepresentation
bin111000000010011110…
…1011111000001110000
3102111121212021210221112
41300010331133001300
53432430112423044
6131141241212452
711460123523505
oct1600475370160
9374555253845
10120342311024
11470451084a1
121b3a6491128
13b46b0aa880
145b789b14ac
1531e507109e
hex1c04f5f070

120342311024 has 80 divisors (see below), whose sum is σ = 265962789792. Its totient is φ = 52257030144.

The previous prime is 120342311021. The next prime is 120342311087. The reversal of 120342311024 is 420113243021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120342311021) 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 15 ways as a sum of consecutive naturals, for example, 16520087 + ... + 16527369.

Almost surely, 2120342311024 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 120342311024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132981394896).

120342311024 is an abundant number, since it is smaller than the sum of its proper divisors (145620478768).

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

120342311024 is a wasteful number, since it uses less digits than its factorization.

120342311024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11994 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 120342311024 its reverse (420113243021), we get a palindrome (540455554045).

The spelling of 120342311024 in words is "one hundred twenty billion, three hundred forty-two million, three hundred eleven thousand, twenty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 4673 7283 9346 14566 18692 29132 37384 58264 60749 74768 79441 94679 116528 121498 123811 158882 189358 242996 247622 317764 378716 485992 495244 635528 757432 971984 990488 1032733 1271056 1514864 1609543 1980976 2065466 3219086 4130932 6438172 8261864 12876344 16523728 25752688 34033459 68066918 136133836 272267672 442434967 544535344 578568803 884869934 1157137606 1769739868 2314275212 3539479736 4628550424 7078959472 7521394439 9257100848 15042788878 30085577756 60171155512 120342311024