Search a number
-
+
141204116340 = 223257229552053
BaseRepresentation
bin1000001110000001101…
…0111101001101110100
3111111110202110022211200
42003200122331031310
54303141223210330
6144511314132500
713126112120400
oct2034032751564
9444422408750
10141204116340
1154980051611
1223448b81130
1310414197c81
146b97510100
153a167c1a60
hex20e06bd374

141204116340 has 216 divisors, whose sum is σ = 515430737640. Its totient is φ = 31162231296.

The previous prime is 141204116327. The next prime is 141204116387. The reversal of 141204116340 is 43611402141.

141204116340 is a `hidden beast` number, since 1 + 4 + 1 + 20 + 4 + 1 + 1 + 634 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61947227664 + 79256888676 = 248892^2 + 281526^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20247 + ... + 531806.

It is an arithmetic number, because the mean of its divisors is an integer number (2386253415).

Almost surely, 2141204116340 is an apocalyptic number.

141204116340 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 141204116340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257715368820).

141204116340 is an abundant number, since it is smaller than the sum of its proper divisors (374226621300).

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

141204116340 is a wasteful number, since it uses less digits than its factorization.

141204116340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552111 (or 552099 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 141204116340 its reverse (43611402141), we get a palindrome (184815518481).

The spelling of 141204116340 in words is "one hundred forty-one billion, two hundred four million, one hundred sixteen thousand, three hundred forty".