Search a number
-
+
145142115144 = 233133111495817
BaseRepresentation
bin1000011100101100100…
…1001110101101001000
3111212122012111101122020
42013023021032231020
54334222340141034
6150402151124440
713325520423435
oct2071311165510
9455565441566
10145142115144
1156610a38384
1224167973720
13108c0cbb890
14704c524b8c
153b9739b249
hex21cb24eb48

145142115144 has 64 divisors (see below), whose sum is σ = 392023981440. Its totient is φ = 44515484160.

The previous prime is 145142115133. The next prime is 145142115163. The reversal of 145142115144 is 441511241541.

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 15 ways as a sum of consecutive naturals, for example, 650877 + ... + 844940.

It is an arithmetic number, because the mean of its divisors is an integer number (6125374710).

Almost surely, 2145142115144 is an apocalyptic number.

It is an amenable number.

145142115144 is an abundant number, since it is smaller than the sum of its proper divisors (246881866296).

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

145142115144 is a wasteful number, since it uses less digits than its factorization.

145142115144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496150 (or 1496146 counting only the distinct ones).

The product of its digits is 12800, while the sum is 33.

Adding to 145142115144 its reverse (441511241541), we get a palindrome (586653356685).

The spelling of 145142115144 in words is "one hundred forty-five billion, one hundred forty-two million, one hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 311 312 622 933 1244 1866 2488 3732 4043 7464 8086 12129 16172 24258 32344 48516 97032 1495817 2991634 4487451 5983268 8974902 11966536 17949804 19445621 35899608 38891242 58336863 77782484 116673726 155564968 233347452 465199087 466694904 930398174 1395597261 1860796348 2791194522 3721592696 5582389044 6047588131 11164778088 12095176262 18142764393 24190352524 36285528786 48380705048 72571057572 145142115144