Search a number
-
+
120342747024 = 24321373608677
BaseRepresentation
bin111000000010011111…
…1001001011110010000
3102111121220002222000200
41300010333021132100
53432430220401044
6131141254415200
711460130320603
oct1600477113620
9374556088020
10120342747024
1147045386025
121b3a6661500
13b46b201166
145b78a8633a
1531e510a369
hex1c04fc9790

120342747024 has 60 divisors (see below), whose sum is σ = 337038399516. Its totient is φ = 40084966656.

The previous prime is 120342746977. The next prime is 120342747053. The reversal of 120342747024 is 420747243021.

120342747024 is a `hidden beast` number, since 1 + 203 + 427 + 4 + 7 + 0 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88287425424 + 32055321600 = 297132^2 + 179040^2 .

It is a super-2 number, since 2×1203427470242 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120342747024.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 106627 + ... + 502050.

Almost surely, 2120342747024 is an apocalyptic number.

It is an amenable number.

120342747024 is an abundant number, since it is smaller than the sum of its proper divisors (216695652492).

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

120342747024 is a wasteful number, since it uses less digits than its factorization.

120342747024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610064 (or 610055 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 120342747024 in words is "one hundred twenty billion, three hundred forty-two million, seven hundred forty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1373 2746 4119 5492 8238 10984 12357 16476 21968 24714 32952 49428 65904 98856 197712 608677 1217354 1826031 2434708 3652062 4869416 5478093 7304124 9738832 10956186 14608248 21912372 29216496 43824744 87649488 835713521 1671427042 2507140563 3342854084 5014281126 6685708168 7521421689 10028562252 13371416336 15042843378 20057124504 30085686756 40114249008 60171373512 120342747024