Search a number
-
+
1142752005450 = 2385211228789
BaseRepresentation
bin10000101000010001010…
…100111100110101001010
311001020122100111200000000
4100220101110330311022
5122210324003133300
62232550101223430
7145363313530566
oct20502124746512
94036570450000
101142752005450
11400702796500
12165581401b76
13839b8052413
143d4493646a6
151ead3d91c00
hex10a1153cd4a

1142752005450 has 324 divisors, whose sum is σ = 3504414641910. Its totient is φ = 277021166400.

The previous prime is 1142752005431. The next prime is 1142752005457. The reversal of 1142752005450 is 545002572411.

1142752005450 is a `hidden beast` number, since 1 + 1 + 42 + 75 + 2 + 0 + 0 + 545 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1029918492801 + 112833512649 = 1014849^2 + 335907^2 .

It is not an unprimeable number, because it can be changed into a prime (1142752005457) by changing a digit.

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 161 ways as a sum of consecutive naturals, for example, 39679656 + ... + 39708444.

Almost surely, 21142752005450 is an apocalyptic number.

1142752005450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142752005450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752207320955).

1142752005450 is an abundant number, since it is smaller than the sum of its proper divisors (2361662636460).

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

1142752005450 is an equidigital number, since it uses as much as digits as its factorization.

1142752005450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28847 (or 28810 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

Adding to 1142752005450 its reverse (545002572411), we get a palindrome (1687754577861).

The spelling of 1142752005450 in words is "one trillion, one hundred forty-two billion, seven hundred fifty-two million, five thousand, four hundred fifty".