Search a number
-
+
1242543536640 = 29325726716427
BaseRepresentation
bin10010000101001101010…
…111011011101000000000
311101210012222212200210200
4102011031113123220000
5130324212121133030
62350452220125200
7155525246540400
oct22051527335000
94353188780720
101242543536640
11439a6148492a
12180991396800
139022c600c23
14441d483a800
15224c4b4cd60
hex1214d5dba00

1242543536640 has 720 divisors, whose sum is σ = 5080877204832. Its totient is φ = 279753965568.

The previous prime is 1242543536627. The next prime is 1242543536657. The reversal of 1242543536640 is 466353452421.

1242543536640 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 54 + 3 + 536 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 75632107 + ... + 75648533.

Almost surely, 21242543536640 is an apocalyptic number.

1242543536640 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 1242543536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540438602416).

1242543536640 is an abundant number, since it is smaller than the sum of its proper divisors (3838333668192).

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

1242543536640 is a wasteful number, since it uses less digits than its factorization.

1242543536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16537 (or 16511 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 1242543536640 in words is "one trillion, two hundred forty-two billion, five hundred forty-three million, five hundred thirty-six thousand, six hundred forty".