Search a number
-
+
140653550664 = 2332111922373293
BaseRepresentation
bin1000001011111110011…
…0101101110001001000
3111110001101110200201100
42002333212231301020
54301024302110124
6144340525421400
713106345311554
oct2027746556110
9443041420640
10140653550664
1154718298460
122331470a860
13103570ba173
146b44354864
1539d32bb1c9
hex20bf9adc48

140653550664 has 576 divisors, whose sum is σ = 465512261760. Its totient is φ = 37964298240.

The previous prime is 140653550663. The next prime is 140653550669. The reversal of 140653550664 is 466055356041.

140653550664 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 535 + 50 + 6 + 64 = 666.

140653550664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (140653550663) 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 143 ways as a sum of consecutive naturals, for example, 480046102 + ... + 480046394.

It is an arithmetic number, because the mean of its divisors is an integer number (808181010).

Almost surely, 2140653550664 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 140653550664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232756130880).

140653550664 is an abundant number, since it is smaller than the sum of its proper divisors (324858711096).

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

140653550664 is a wasteful number, since it uses less digits than its factorization.

140653550664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 140653550664 in words is "one hundred forty billion, six hundred fifty-three million, five hundred fifty thousand, six hundred sixty-four".