Search a number
-
+
145121533002 = 23211371347853
BaseRepresentation
bin1000011100100111101…
…0101101110001001010
3111212120202202201020200
42013021322231301022
54334202103024002
6150400134033030
713325150451255
oct2071172556112
9455522681220
10145121533002
115660035a746
1224160aa8776
13108b99634b4
1470498c809c
153b95682b1c
hex21c9eadc4a

145121533002 has 24 divisors (see below), whose sum is σ = 317212558884. Its totient is φ = 47945756544.

The previous prime is 145121532989. The next prime is 145121533003. The reversal of 145121533002 is 200335121541.

145121533002 is a `hidden beast` number, since 1 + 4 + 5 + 121 + 533 + 0 + 0 + 2 = 666.

145121533002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 120214064961 + 24907468041 = 346719^2 + 157821^2 .

It is not an unprimeable number, because it can be changed into a prime (145121533003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35671893 + ... + 35675960.

Almost surely, 2145121533002 is an apocalyptic number.

145121533002 is an abundant number, since it is smaller than the sum of its proper divisors (172091025882).

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

145121533002 is a wasteful number, since it uses less digits than its factorization.

145121533002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71347974 (or 71347971 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 145121533002 its reverse (200335121541), we get a palindrome (345456654543).

The spelling of 145121533002 in words is "one hundred forty-five billion, one hundred twenty-one million, five hundred thirty-three thousand, two".

Divisors: 1 2 3 6 9 18 113 226 339 678 1017 2034 71347853 142695706 214043559 428087118 642130677 1284261354 8062307389 16124614778 24186922167 48373844334 72560766501 145121533002