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141542400 = 2103521997
BaseRepresentation
bin10000110111111…
…00010000000000
3100212100002200010
420123330100000
5242213324100
622013424520
73336043026
oct1033742000
9325302603
10141542400
117299599a
123b49b140
132342a3cc
1414b26716
15c65d750
hex86fc400

141542400 has 264 divisors, whose sum is σ = 497502880. Its totient is φ = 35389440.

The previous prime is 141542377. The next prime is 141542411. The reversal of 141542400 is 4245141.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1459152 + ... + 1459248.

Almost surely, 2141542400 is an apocalyptic number.

141542400 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 141542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248751440).

141542400 is an abundant number, since it is smaller than the sum of its proper divisors (355960480).

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

141542400 is a wasteful number, since it uses less digits than its factorization.

141542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 141542400 is about 11897.1593248136. The cubic root of 141542400 is about 521.1493315821.

Adding to 141542400 its reverse (4245141), we get a palindrome (145787541).

The spelling of 141542400 in words is "one hundred forty-one million, five hundred forty-two thousand, four hundred".