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141243114432 = 26371719734457
BaseRepresentation
bin1000001110001010111…
…1101110001111000000
3111111120110211122011110
42003202233232033000
54303231214130212
6144515230043320
713130064443430
oct2034257561700
9444513748143
10141243114432
11549a0068442
122345a049540
131041c2a0774
146b9c7822c0
153a19e26a3c
hex20e2bee3c0

141243114432 has 448 divisors, whose sum is σ = 482645191680. Its totient is φ = 35481452544.

The previous prime is 141243114431. The next prime is 141243114461. The reversal of 141243114432 is 234411342141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 141243114432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141243114431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31687948 + ... + 31692404.

Almost surely, 2141243114432 is an apocalyptic number.

141243114432 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 141243114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241322595840).

141243114432 is an abundant number, since it is smaller than the sum of its proper divisors (341402077248).

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

141243114432 is a wasteful number, since it uses less digits than its factorization.

141243114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4588 (or 4578 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 141243114432 its reverse (234411342141), we get a palindrome (375654456573).

The spelling of 141243114432 in words is "one hundred forty-one billion, two hundred forty-three million, one hundred fourteen thousand, four hundred thirty-two".