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141494400 = 273252173
BaseRepresentation
bin10000110111100…
…00100010000000
3100212020122211100
420123300202000
5242210310100
622012414400
73335453055
oct1033604200
9325218740
10141494400
1172962923
123b477400
13234115c8
1414b1302c
15c64e400
hex86f0880

141494400 has 288 divisors, whose sum is σ = 536433300. Its totient is φ = 35512320.

The previous prime is 141494389. The next prime is 141494407. The reversal of 141494400 is 4494141.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

141494400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 57881664 + 83612736 = 7608^2 + 9144^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141494407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8323192 + ... + 8323208.

Almost surely, 2141494400 is an apocalyptic number.

141494400 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 141494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268216650).

141494400 is an abundant number, since it is smaller than the sum of its proper divisors (394938900).

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

141494400 is an equidigital number, since it uses as much as digits as its factorization.

141494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 141494400 is about 11895.1418654844. The cubic root of 141494400 is about 521.0904140276.

The spelling of 141494400 in words is "one hundred forty-one million, four hundred ninety-four thousand, four hundred".