Search a number
-
+
141142500 = 2234541741
BaseRepresentation
bin10000110100110…
…10100111100100
3100211120210010000
420122122213210
5242113030000
622001101300
73332456112
oct1032324744
9324523100
10141142500
11727424a4
123b327830
132331a395
1414a60ab2
15c5d0000
hex869a9e4

141142500 has 300 divisors, whose sum is σ = 500099292. Its totient is φ = 34560000.

The previous prime is 141142499. The next prime is 141142511. The reversal of 141142500 is 5241141.

141142500 is a `hidden beast` number, since 1 + 411 + 4 + 250 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 122943744 + 18198756 = 11088^2 + 4266^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 3442480 + ... + 3442520.

Almost surely, 2141142500 is an apocalyptic number.

141142500 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 141142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250049646).

141142500 is an abundant number, since it is smaller than the sum of its proper divisors (358956792).

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

141142500 is a wasteful number, since it uses less digits than its factorization.

141142500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 141142500 is about 11880.3409041997. The cubic root of 141142500 is about 520.6580672499.

Adding to 141142500 its reverse (5241141), we get a palindrome (146383641).

The spelling of 141142500 in words is "one hundred forty-one million, one hundred forty-two thousand, five hundred".