Search a number
-
+
431141120 = 285336829
BaseRepresentation
bin11001101100101…
…011000100000000
31010001021020102122
4121230223010000
51340333003440
6110440503412
713453432124
oct3154530400
91101236378
10431141120
11201405783
1210047ab68
136b425ab7
144138d584
1527cb57b5
hex19b2b100

431141120 has 36 divisors (see below), whose sum is σ = 1032720780. Its totient is φ = 172455936.

The previous prime is 431141101. The next prime is 431141129. The reversal of 431141120 is 21141134.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 141324544 + 289816576 = 11888^2 + 17024^2 .

It is not an unprimeable number, because it can be changed into a prime (431141129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167135 + ... + 169694.

Almost surely, 2431141120 is an apocalyptic number.

431141120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431141120 is an abundant number, since it is smaller than the sum of its proper divisors (601579660).

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

431141120 is an equidigital number, since it uses as much as digits as its factorization.

431141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336850 (or 336836 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 431141120 is about 20763.9379694700. The cubic root of 431141120 is about 755.4513156205.

Adding to 431141120 its reverse (21141134), we get a palindrome (452282254).

The spelling of 431141120 in words is "four hundred thirty-one million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 336829 673658 1347316 1684145 2694632 3368290 5389264 6736580 10778528 13473160 21557056 26946320 43114112 53892640 86228224 107785280 215570560 431141120