Search a number
-
+
140697722880 = 213325111317157
BaseRepresentation
bin1000001100001000111…
…1001110000000000000
3111110011110120212121100
42003002033032000000
54301122104113010
6144345144254400
713110422624541
oct2030217160000
9443143525540
10140697722880
1154740218720
1223327471400
13103632b4a80
146b4a1724c8
1539d70e42c0
hex20c23ce000

140697722880 has 1344 divisors, whose sum is σ = 610557974208. Its totient is φ = 29444014080.

The previous prime is 140697722843. The next prime is 140697722887. The reversal of 140697722880 is 88227796041.

It is a happy number.

140697722880 is a `hidden beast` number, since 1 + 406 + 9 + 7 + 7 + 228 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140697722887) 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 95 ways as a sum of consecutive naturals, for example, 896163762 + ... + 896163918.

It is an arithmetic number, because the mean of its divisors is an integer number (454284207).

Almost surely, 2140697722880 is an apocalyptic number.

140697722880 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 140697722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305278987104).

140697722880 is an abundant number, since it is smaller than the sum of its proper divisors (469860251328).

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

140697722880 is a wasteful number, since it uses less digits than its factorization.

140697722880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 140697722880 in words is "one hundred forty billion, six hundred ninety-seven million, seven hundred twenty-two thousand, eight hundred eighty".