Search a number
-
+
1142424000 = 2634534143
BaseRepresentation
bin100010000011000…
…0000000111000000
32221121200011010000
41010012000013000
54314430032000
6305210040000
740211305134
oct10406000700
92847604100
101142424000
11536961073
1227a719000
131528b5943
14aba233c4
156a466000
hex441801c0

1142424000 has 560 divisors, whose sum is σ = 4430121696. Its totient is φ = 290304000.

The previous prime is 1142423981. The next prime is 1142424047. The reversal of 1142424000 is 4242411.

1142424000 is a `hidden beast` number, since 1 + 1 + 424 + 240 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26567979 + ... + 26568021.

Almost surely, 21142424000 is an apocalyptic number.

1142424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215060848).

1142424000 is an abundant number, since it is smaller than the sum of its proper divisors (3287697696).

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

1142424000 is an equidigital number, since it uses as much as digits as its factorization.

1142424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1142424000 is about 33799.7633127808. The cubic root of 1142424000 is about 1045.3838169485.

Adding to 1142424000 its reverse (4242411), we get a palindrome (1146666411).

The spelling of 1142424000 in words is "one billion, one hundred forty-two million, four hundred twenty-four thousand".