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140561731584 = 21232172111063
BaseRepresentation
bin1000001011101000100…
…0011101000000000000
3111102210222200210121200
42002322020131000000
54300332300402314
6144323445421200
713104152001501
oct2027210350000
9442728623550
10140561731584
115468048441a
12232a9a0a800
131034107c251
146b36092ba8
1539ca1d0709
hex20ba21d000

140561731584 has 312 divisors, whose sum is σ = 432344832192. Its totient is φ = 43847516160.

The previous prime is 140561731571. The next prime is 140561731589. The reversal of 140561731584 is 485137165041.

140561731584 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 61 + 7 + 3 + 1 + 584 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140561731589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132230637 + ... + 132231699.

It is an arithmetic number, because the mean of its divisors is an integer number (1385720616).

Almost surely, 2140561731584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140561731584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216172416096).

140561731584 is an abundant number, since it is smaller than the sum of its proper divisors (291783100608).

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

140561731584 is a wasteful number, since it uses less digits than its factorization.

140561731584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 140561731584 in words is "one hundred forty billion, five hundred sixty-one million, seven hundred thirty-one thousand, five hundred eighty-four".