Search a number
-
+
140463529080 = 2335719232127131
BaseRepresentation
bin1000001011010001000…
…1110101110001111000
3111102120010220121002220
42002310101311301320
54300132130412310
6144310020524040
713101550204020
oct2026421656170
9442503817086
10140463529080
1154630000426
1223280b50620
1310326917964
146b2700ca80
1539c1783670
hex20b4475c78

140463529080 has 768 divisors, whose sum is σ = 538184908800. Its totient is φ = 28644295680.

The previous prime is 140463529069. The next prime is 140463529093. The reversal of 140463529080 is 80925364041.

140463529080 is digitally balanced in base 3, 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 (42).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1072240615 + ... + 1072240745.

It is an arithmetic number, because the mean of its divisors is an integer number (700761600).

Almost surely, 2140463529080 is an apocalyptic number.

140463529080 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 140463529080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269092454400).

140463529080 is an abundant number, since it is smaller than the sum of its proper divisors (397721379720).

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

140463529080 is a wasteful number, since it uses less digits than its factorization.

140463529080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 140463529080 in words is "one hundred forty billion, four hundred sixty-three million, five hundred twenty-nine thousand, eighty".