Search a number
-
+
140131245072 = 243731317192027
BaseRepresentation
bin1000001010000001111…
…0010001110000010000
3111101200222122211010210
42002200132101300100
54243442044320242
6144213030524120
713060403634000
oct2024036216020
9441628584123
10140131245072
115447a486545
12231a9806640
13102a2b253c0
146ad4c34000
1539a24e8d9c
hex20a0791c10

140131245072 has 640 divisors, whose sum is σ = 506967552000. Its totient is φ = 32936730624.

The previous prime is 140131245061. The next prime is 140131245073. The reversal of 140131245072 is 270542131041.

It is not an unprimeable number, because it can be changed into a prime (140131245073) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69131323 + ... + 69133349.

It is an arithmetic number, because the mean of its divisors is an integer number (792136800).

Almost surely, 2140131245072 is an apocalyptic number.

140131245072 is a gapful number since it is divisible by the number (12) 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 140131245072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253483776000).

140131245072 is an abundant number, since it is smaller than the sum of its proper divisors (366836306928).

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

140131245072 is a wasteful number, since it uses less digits than its factorization.

140131245072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 140131245072 in words is "one hundred forty billion, one hundred thirty-one million, two hundred forty-five thousand, seventy-two".