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141134112 = 25327273137
BaseRepresentation
bin10000110100110…
…00100100100000
3100211120100121100
420122120210200
5242112242422
622000554400
73332422500
oct1032304440
9324510540
10141134112
1172737169
123b322a00
1323316612
1414a5ba00
15c5cc7ac
hex8698920

141134112 has 216 divisors, whose sum is σ = 476726796. Its totient is φ = 39481344.

The previous prime is 141134107. The next prime is 141134131. The reversal of 141134112 is 211431141.

It can be written as a sum of positive squares in 2 ways, for example, as 140280336 + 853776 = 11844^2 + 924^2 .

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1030108 + ... + 1030244.

Almost surely, 2141134112 is an apocalyptic number.

141134112 is a gapful number since it is divisible by the number (12) 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 141134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238363398).

141134112 is an abundant number, since it is smaller than the sum of its proper divisors (335592684).

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

141134112 is a wasteful number, since it uses less digits than its factorization.

141134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 141134112 is about 11879.9878787817. The cubic root of 141134112 is about 520.6477529307.

Adding to 141134112 its reverse (211431141), we get a palindrome (352565253).

It can be divided in two parts, 141134 and 112, that added together give a triangular number (141246 = T531).

The spelling of 141134112 in words is "one hundred forty-one million, one hundred thirty-four thousand, one hundred twelve".