Search a number
-
+
141043442441000 = 235311611132298123
BaseRepresentation
bin100000000100011100111100…
…010010001101101100101000
3200111101121210000021121212112
4200010130330102031230220
5121441323432231103000
61215550243555501452
741465023662506051
oct4004347422155450
9614347700247775
10141043442441000
1140a39208299040
121399b1b75b7888
136091454cc4218
1426b8779199728
151148ce4a77235
hex80473c48db28

141043442441000 has 512 divisors, whose sum is σ = 370844118028800. Its totient is φ = 49776814080000.

The previous prime is 141043442440973. The next prime is 141043442441059. The reversal of 141043442441000 is 144244340141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17363462939 + ... + 17363471061.

It is an arithmetic number, because the mean of its divisors is an integer number (724304918025).

Almost surely, 2141043442441000 is an apocalyptic number.

141043442441000 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 141043442441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185422059014400).

141043442441000 is an abundant number, since it is smaller than the sum of its proper divisors (229800675587800).

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

141043442441000 is a wasteful number, since it uses less digits than its factorization.

141043442441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8558 (or 8544 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 141043442441000 its reverse (144244340141), we get a palindrome (141187686781141).

The spelling of 141043442441000 in words is "one hundred forty-one trillion, forty-three billion, four hundred forty-two million, four hundred forty-one thousand".