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141885479479680 = 273251937611274523
BaseRepresentation
bin100000010000101101001001…
…100110100110100110000000
3200121101010020000112012002200
4200100231021212212212000
5122044122430221322210
61221433142303513200
741612613310316136
oct4020551146464600
9617333200465080
10141885479479680
1141233326246112
1213ab6433bb8800
136122988068181
142707418469756
151160b785cd0c0
hex810b499a6980

141885479479680 has 1536 divisors, whose sum is σ = 542716006809600. Its totient is φ = 34026601512960.

The previous prime is 141885479479649. The next prime is 141885479479697. The reversal of 141885479479680 is 86974974588141.

It is a happy number.

141885479479680 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 8 + 547 + 9 + 4 + 7 + 9 + 68 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 141885479479680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31369769899 + ... + 31369774421.

It is an arithmetic number, because the mean of its divisors is an integer number (353330733600).

Almost surely, 2141885479479680 is an apocalyptic number.

141885479479680 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 141885479479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271358003404800).

141885479479680 is an abundant number, since it is smaller than the sum of its proper divisors (400830527329920).

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

141885479479680 is a wasteful number, since it uses less digits than its factorization.

141885479479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4777 counting only the distinct ones).

The product of its (nonzero) digits is 3901685760, while the sum is 81.

The spelling of 141885479479680 in words is "one hundred forty-one trillion, eight hundred eighty-five billion, four hundred seventy-nine million, four hundred seventy-nine thousand, six hundred eighty".