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141340430000 = 2454711199661
BaseRepresentation
bin1000001110100010001…
…0111100111010110000
3111111211020221210000202
42003220202330322300
54303431122230000
6144533023534332
713132355555330
oct2035042747260
9444736853022
10141340430000
1154a3aa96030
122348675a3a8
13104364b4443
146bab6750c0
153a2374add5
hex20e88bceb0

141340430000 has 400 divisors, whose sum is σ = 449139229440. Its totient is φ = 41731200000.

The previous prime is 141340429987. The next prime is 141340430003. The reversal of 141340430000 is 34043141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (141340430003) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 14625170 + ... + 14634830.

Almost surely, 2141340430000 is an apocalyptic number.

141340430000 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 141340430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224569614720).

141340430000 is an abundant number, since it is smaller than the sum of its proper divisors (307798799440).

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

141340430000 is a wasteful number, since it uses less digits than its factorization.

141340430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9726 (or 9705 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 141340430000 its reverse (34043141), we get a palindrome (141374473141).

The spelling of 141340430000 in words is "one hundred forty-one billion, three hundred forty million, four hundred thirty thousand".