Search a number
-
+
120434045140 = 22513241454777
BaseRepresentation
bin111000000101001101…
…1011011000011010100
3102111212020220101111101
41300022123123003110
53433122103421030
6131154315315444
711462316331063
oct1601233330324
9374766811441
10120434045140
1147091973712
121b41114bb84
13b4840b8c06
145b86c501da
1531ed1417ca
hex1c0a6db0d4

120434045140 has 24 divisors (see below), whose sum is σ = 252931151592. Its totient is φ = 48169873920.

The previous prime is 120434045129. The next prime is 120434045143. The reversal of 120434045140 is 41540434021.

It can be written as a sum of positive squares in 4 ways, for example, as 62978913936 + 57455131204 = 250956^2 + 239698^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120434045099 and 120434045108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120434045143) 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 7 ways as a sum of consecutive naturals, for example, 37432 + ... + 492208.

It is an arithmetic number, because the mean of its divisors is an integer number (10538797983).

Almost surely, 2120434045140 is an apocalyptic number.

120434045140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120434045140 is an abundant number, since it is smaller than the sum of its proper divisors (132497106452).

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

120434045140 is a wasteful number, since it uses less digits than its factorization.

120434045140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468027 (or 468025 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 120434045140 its reverse (41540434021), we get a palindrome (161974479161).

The spelling of 120434045140 in words is "one hundred twenty billion, four hundred thirty-four million, forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 13241 26482 52964 66205 132410 264820 454777 909554 1819108 2273885 4547770 9095540 6021702257 12043404514 24086809028 30108511285 60217022570 120434045140