Search a number
-
+
120423142344040 = 23510129807708501
BaseRepresentation
bin11011011000011000110010…
…100111110100010101101000
3120210101100011211202021211121
4123120120302213310111220
5111241003043420002130
61104041343341505024
734236166504600024
oct3330306247642550
9523340154667747
10120423142344040
1135409193479178
121160a98a872174
135226b134753c3
1421a47229b5384
15ddc737ac9d7a
hex6d86329f4568

120423142344040 has 32 divisors (see below), whose sum is σ = 273634764048360. Its totient is φ = 47692333600000.

The previous prime is 120423142344013. The next prime is 120423142344047. The reversal of 120423142344040 is 40443241324021.

It can be written as a sum of positive squares in 4 ways, for example, as 100971990504324 + 19451151839716 = 10048482^2 + 4410346^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120423142343987 and 120423142344005.

It is not an unprimeable number, because it can be changed into a prime (120423142344047) by changing a digit.

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, 14903850211 + ... + 14903858290.

Almost surely, 2120423142344040 is an apocalyptic number.

120423142344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120423142344040 is an abundant number, since it is smaller than the sum of its proper divisors (153211621704320).

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

120423142344040 is a wasteful number, since it uses less digits than its factorization.

120423142344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29807708613 (or 29807708609 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 120423142344040 its reverse (40443241324021), we get a palindrome (160866383668061).

The spelling of 120423142344040 in words is "one hundred twenty trillion, four hundred twenty-three billion, one hundred forty-two million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 29807708501 59615417002 119230834004 149038542505 238461668008 298077085010 596154170020 1192308340040 3010578558601 6021157117202 12042314234404 15052892793005 24084628468808 30105785586010 60211571172020 120423142344040