Search a number
-
+
141341486000 = 245311132321487
BaseRepresentation
bin1000001110100010011…
…0111110101110110000
3111111211022221102120212
42003220212332232300
54303431410023000
6144533102323252
713132400544131
oct2035046765660
9444738842525
10141341486000
1154a40647460
1223486b89528
1310436793cb0
146bab86bc88
153a238a8c35
hex20e89bebb0

141341486000 has 320 divisors, whose sum is σ = 418989182976. Its totient is φ = 45378432000.

The previous prime is 141341485991. The next prime is 141341486009. The reversal of 141341486000 is 684143141.

141341486000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141341485991) and next prime (141341486009).

It is not an unprimeable number, because it can be changed into a prime (141341486009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6567257 + ... + 6588743.

Almost surely, 2141341486000 is an apocalyptic number.

141341486000 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 141341486000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209494591488).

141341486000 is an abundant number, since it is smaller than the sum of its proper divisors (277647696976).

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

141341486000 is a wasteful number, since it uses less digits than its factorization.

141341486000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21557 (or 21541 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 141341486000 in words is "one hundred forty-one billion, three hundred forty-one million, four hundred eighty-six thousand".