Search a number
-
+
141323786912 = 257111719416171
BaseRepresentation
bin1000001110011110001…
…1011101101010100000
3111111210002122020000002
42003213203131222200
54303412342140122
6144531231115132
713132064240240
oct2034743355240
9444702566002
10141323786912
1154a31658910
1223481072aa8
1310432c07c69
146ba9381b20
153a2205e992
hex20e78ddaa0

141323786912 has 768 divisors, whose sum is σ = 408213872640. Its totient is φ = 46448640000.

The previous prime is 141323786881. The next prime is 141323786917. The reversal of 141323786912 is 219687323141.

It is not an unprimeable number, because it can be changed into a prime (141323786917) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1990475837 + ... + 1990475907.

It is an arithmetic number, because the mean of its divisors is an integer number (531528480).

Almost surely, 2141323786912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141323786912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204106936320).

141323786912 is an abundant number, since it is smaller than the sum of its proper divisors (266890085728).

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

141323786912 is a wasteful number, since it uses less digits than its factorization.

141323786912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The spelling of 141323786912 in words is "one hundred forty-one billion, three hundred twenty-three million, seven hundred eighty-six thousand, nine hundred twelve".