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141138900 = 223252743521
BaseRepresentation
bin10000110100110…
…01101111010100
3100211120121011200
420122121233110
5242112421100
622001032500
73332442450
oct1032315724
9324517150
10141138900
117273a821
123b325730
1323318856
1414a5d660
15c5cde00
hex8699bd4

141138900 has 216 divisors, whose sum is σ = 518341824. Its totient is φ = 31449600.

The previous prime is 141138889. The next prime is 141138901. The reversal of 141138900 is 9831141.

141138900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141138901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 270640 + ... + 271160.

Almost surely, 2141138900 is an apocalyptic number.

141138900 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 141138900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259170912).

141138900 is an abundant number, since it is smaller than the sum of its proper divisors (377202924).

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

141138900 is a wasteful number, since it uses less digits than its factorization.

141138900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 141138900 is about 11880.1893924297. The cubic root of 141138900 is about 520.6536405535.

The spelling of 141138900 in words is "one hundred forty-one million, one hundred thirty-eight thousand, nine hundred".