Search a number
-
+
142044000400 = 2452355110001
BaseRepresentation
bin1000010001001001111…
…0110111000010010000
3111120122021211212011201
42010102132313002100
54311401231003100
6145130515520544
713155661040101
oct2042236670220
9446567755151
10142044000400
1155271153975
12236422b9154
13105191a39a3
146c36c9c3a8
153a653c636a
hex21127b7090

142044000400 has 30 divisors (see below), whose sum is σ = 341260711922. Its totient is φ = 56817600000.

The previous prime is 142044000389. The next prime is 142044000419. The reversal of 142044000400 is 4000440241.

It can be written as a sum of positive squares in 3 ways, for example, as 20806331536 + 121237668864 = 144244^2 + 348192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 177554601 + ... + 177555400.

Almost surely, 2142044000400 is an apocalyptic number.

142044000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142044000400 is an abundant number, since it is smaller than the sum of its proper divisors (199216711522).

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

142044000400 is a wasteful number, since it uses less digits than its factorization.

142044000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355110019 (or 355110008 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 142044000400 its reverse (4000440241), we get a palindrome (146044440641).

The spelling of 142044000400 in words is "one hundred forty-two billion, forty-four million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 355110001 710220002 1420440004 1775550005 2840880008 3551100010 5681760016 7102200020 8877750025 14204400040 17755500050 28408800080 35511000100 71022000200 142044000400