Search a number
-
+
140524636032 = 273211233783157
BaseRepresentation
bin1000001011011111101…
…0111100011110000000
3111102201101220011002100
42002313322330132000
54300243301323112
6144320042350400
713103221461264
oct2026772743600
9442641804070
10140524636032
1154661547a40
12232994bb400
1310336491711
146b311980a4
1539c6d042dc
hex20b7ebc780

140524636032 has 768 divisors, whose sum is σ = 481499665920. Its totient is φ = 38904053760.

The previous prime is 140524635971. The next prime is 140524636033. The reversal of 140524636032 is 230636425041.

140524636032 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 2 + 46 + 3 + 603 + 2 = 666.

140524636032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140524636033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 895061298 + ... + 895061454.

It is an arithmetic number, because the mean of its divisors is an integer number (626952690).

Almost surely, 2140524636032 is an apocalyptic number.

140524636032 is a gapful number since it is divisible by the number (12) 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 140524636032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240749832960).

140524636032 is an abundant number, since it is smaller than the sum of its proper divisors (340975029888).

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

140524636032 is a wasteful number, since it uses less digits than its factorization.

140524636032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 140524636032 in words is "one hundred forty billion, five hundred twenty-four million, six hundred thirty-six thousand, thirty-two".