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141031285920 = 25335723312211
BaseRepresentation
bin1000001101011000011…
…1101010010010100000
3111111000201020122002000
42003112013222102200
54302313002122140
6144442221524000
713121613102540
oct2032607522240
9444021218060
10141031285920
11548a1536558
12233bb113600
13103b7434555
146b7c5a1320
153a06532a30
hex20d61ea4a0

141031285920 has 1152 divisors, whose sum is σ = 611136368640. Its totient is φ = 29698099200.

The previous prime is 141031285891. The next prime is 141031285931. The reversal of 141031285920 is 29582130141.

141031285920 is a `hidden beast` number, since 1 + 4 + 10 + 31 + 28 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 668394615 + ... + 668394825.

It is an arithmetic number, because the mean of its divisors is an integer number (530500320).

Almost surely, 2141031285920 is an apocalyptic number.

141031285920 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 141031285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305568184320).

141031285920 is an abundant number, since it is smaller than the sum of its proper divisors (470105082720).

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

141031285920 is a wasteful number, since it uses less digits than its factorization.

141031285920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 141031285920 in words is "one hundred forty-one billion, thirty-one million, two hundred eighty-five thousand, nine hundred twenty".