Search a number
-
+
140479235820 = 2233572112172989
BaseRepresentation
bin1000001011010100110…
…1110000011011101100
3111102121020110120201000
42002311031300123230
54300200141021240
6144311341320300
713102130542200
oct2026515603354
9442536416630
10140479235820
1154638959100
1223286266090
1310329c56ba1
146b2913ab00
1539c2d37430
hex20b53706ec

140479235820 has 1728 divisors, whose sum is σ = 618973488000. Its totient is φ = 26227998720.

The previous prime is 140479235761. The next prime is 140479235821. The reversal of 140479235820 is 28532974041.

140479235820 is a `hidden beast` number, since 1 + 4 + 0 + 47 + 9 + 23 + 582 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (140479235821) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1578418336 + ... + 1578418424.

It is an arithmetic number, because the mean of its divisors is an integer number (358202250).

Almost surely, 2140479235820 is an apocalyptic number.

140479235820 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 140479235820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309486744000).

140479235820 is an abundant number, since it is smaller than the sum of its proper divisors (478494252180).

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

140479235820 is a wasteful number, since it uses less digits than its factorization.

140479235820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 140479235820 in words is "one hundred forty billion, four hundred seventy-nine million, two hundred thirty-five thousand, eight hundred twenty".