Search a number
-
+
141326760960 = 21033571121771
BaseRepresentation
bin1000001110011110111…
…0110011110000000000
3111111210022020022122000
42003213232303300000
54303414122322320
6144531414544000
713132131435030
oct2034756636000
9444708208560
10141326760960
1154a332aa300
1223482068000
1310433709858
146ba99178c0
153a2244ac90
hex20e7bb3c00

141326760960 has 2112 divisors, whose sum is σ = 677447608320. Its totient is φ = 27249868800.

The previous prime is 141326760941. The next prime is 141326761007. The reversal of 141326760960 is 69067623141.

141326760960 is a `hidden beast` number, since 1 + 4 + 1 + 32 + 6 + 7 + 609 + 6 + 0 = 666.

141326760960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1990517725 + ... + 1990517795.

Almost surely, 2141326760960 is an apocalyptic number.

141326760960 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 141326760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338723804160).

141326760960 is an abundant number, since it is smaller than the sum of its proper divisors (536120847360).

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

141326760960 is a wasteful number, since it uses less digits than its factorization.

141326760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 141326760960 in words is "one hundred forty-one billion, three hundred twenty-six million, seven hundred sixty thousand, nine hundred sixty".