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141035328 = 26327219263
BaseRepresentation
bin10000110100000…
…00011101000000
3100211101100002200
420122000131000
5242101112303
621554513200
73331531500
oct1032003500
9324340080
10141035328
1172679a25
123b295800
13232b0675
1414a33a00
15c5ad3a3
hex8680740

141035328 has 252 divisors, whose sum is σ = 496884960. Its totient is φ = 38029824.

The previous prime is 141035317. The next prime is 141035351. The reversal of 141035328 is 823530141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

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, 536125 + ... + 536387.

Almost surely, 2141035328 is an apocalyptic number.

141035328 is a gapful number since it is divisible by the number (18) 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 141035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248442480).

141035328 is an abundant number, since it is smaller than the sum of its proper divisors (355849632).

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

141035328 is a wasteful number, since it uses less digits than its factorization.

141035328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 141035328 is about 11875.8295710237. The cubic root of 141035328 is about 520.5262522505.

Adding to 141035328 its reverse (823530141), we get a palindrome (964565469).

The spelling of 141035328 in words is "one hundred forty-one million, thirty-five thousand, three hundred twenty-eight".