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141441287130 = 236511131937193
BaseRepresentation
bin1000001110111010001…
…1101100001111011010
3111112002021201212000000
42003232203230033122
54304132432142010
6144551025353430
713135022050413
oct2035643541732
9445067655000
10141441287130
1154a91a12530
12234b4498876
1310451368110
146bbac0a80a
153a2c51e7c0
hex20ee8ec3da

141441287130 has 896 divisors, whose sum is σ = 487323406080. Its totient is φ = 29023764480.

The previous prime is 141441287107. The next prime is 141441287233. The reversal of 141441287130 is 31782144141.

141441287130 is a `hidden beast` number, since 1 + 4 + 1 + 441 + 2 + 87 + 130 = 666.

It is a super-2 number, since 2×1414412871302 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 732856314 + ... + 732856506.

It is an arithmetic number, because the mean of its divisors is an integer number (543887730).

Almost surely, 2141441287130 is an apocalyptic number.

141441287130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141441287130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243661703040).

141441287130 is an abundant number, since it is smaller than the sum of its proper divisors (345882118950).

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

141441287130 is a wasteful number, since it uses less digits than its factorization.

141441287130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 141441287130 in words is "one hundred forty-one billion, four hundred forty-one million, two hundred eighty-seven thousand, one hundred thirty".