Search a number
-
+
1143424321200 = 243252797467773
BaseRepresentation
bin10000101000111001011…
…001101000011010110000
311001022101012120211211100
4100220321121220122300
5122213213111234300
62233140515244400
7145416056240040
oct20507131503260
94038335524740
101143424321200
11400a18247257
1216572a5a9700
1383a9441a8a5
143d4b0773720
151eb22de6700
hex10a396686b0

1143424321200 has 360 divisors, whose sum is σ = 4581618056288. Its totient is φ = 258659205120.

The previous prime is 1143424321141. The next prime is 1143424321253. The reversal of 1143424321200 is 21234243411.

1143424321200 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 424 + 32 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 2210514 + ... + 2678286.

Almost surely, 21143424321200 is an apocalyptic number.

1143424321200 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 1143424321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290809028144).

1143424321200 is an abundant number, since it is smaller than the sum of its proper divisors (3438193735088).

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

1143424321200 is a wasteful number, since it uses less digits than its factorization.

1143424321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467901 (or 467887 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1143424321200 its reverse (21234243411), we get a palindrome (1164658564611).

The spelling of 1143424321200 in words is "one trillion, one hundred forty-three billion, four hundred twenty-four million, three hundred twenty-one thousand, two hundred".