Search a number
-
+
141273538560 = 213345721179
BaseRepresentation
bin1000001110010010001…
…1110010000000000000
3111111122121002100020000
42003210203302000000
54303312011213220
6144522234120000
713130614156500
oct2034443620000
9444577070200
10141273538560
1154a06258550
1223468280000
13104256937cb
146ba2821a00
153a1c936390
hex20e48f2000

141273538560 has 1680 divisors, whose sum is σ = 650842853760. Its totient is φ = 28983951360.

The previous prime is 141273538513. The next prime is 141273538573. The reversal of 141273538560 is 65835372141.

It is a happy number.

141273538560 is a `hidden beast` number, since 1 + 4 + 1 + 27 + 35 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1788272601 + ... + 1788272679.

Almost surely, 2141273538560 is an apocalyptic number.

141273538560 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 141273538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325421426880).

141273538560 is an abundant number, since it is smaller than the sum of its proper divisors (509569315200).

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

141273538560 is an equidigital number, since it uses as much as digits as its factorization.

141273538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 141273538560 in words is "one hundred forty-one billion, two hundred seventy-three million, five hundred thirty-eight thousand, five hundred sixty".