Search a number
-
+
141132134000 = 245311133713337
BaseRepresentation
bin1000001101110000100…
…0010111011001110000
3111111021202000020122002
42003130020113121300
54303014311242000
6144500223233132
713124246226344
oct2033410273160
9444252006562
10141132134000
1154943457180
1223428a487a8
13104022b4080
146b8bb33624
153a103038d5
hex20dc217670

141132134000 has 320 divisors, whose sum is σ = 411784394112. Its totient is φ = 46089216000.

The previous prime is 141132133991. The next prime is 141132134023. The reversal of 141132134000 is 431231141.

It is a super-3 number, since 3×1411321340003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10575332 + ... + 10588668.

Almost surely, 2141132134000 is an apocalyptic number.

141132134000 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 141132134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205892197056).

141132134000 is an abundant number, since it is smaller than the sum of its proper divisors (270652260112).

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

141132134000 is a wasteful number, since it uses less digits than its factorization.

141132134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13421 (or 13405 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 141132134000 its reverse (431231141), we get a palindrome (141563365141).

The spelling of 141132134000 in words is "one hundred forty-one billion, one hundred thirty-two million, one hundred thirty-four thousand".