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141397200 = 243252731181
BaseRepresentation
bin10000110110110…
…00110011010000
3100212001201111100
420123120303100
5242144202300
622010344400
73334566510
oct1033306320
9325051440
10141397200
11728a689a
123b42b100
13233a92a9
1414ac9840
15c630700
hex86d8cd0

141397200 has 360 divisors, whose sum is σ = 582073856. Its totient is φ = 31104000.

The previous prime is 141397199. The next prime is 141397229. The reversal of 141397200 is 2793141.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 781110 + ... + 781290.

Almost surely, 2141397200 is an apocalyptic number.

141397200 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 141397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291036928).

141397200 is an abundant number, since it is smaller than the sum of its proper divisors (440676656).

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

141397200 is a wasteful number, since it uses less digits than its factorization.

141397200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 141397200 is about 11891.0554619849. The cubic root of 141397200 is about 520.9710651565.

The spelling of 141397200 in words is "one hundred forty-one million, three hundred ninety-seven thousand, two hundred".