Search a number
-
+
141327580953600 = 210325219415383179
BaseRepresentation
bin100000001000100101100100…
…010000100111110000000000
3200112101210012010000121101100
4200020211210100213300000
5122011002341211003400
61220324554442134400
741524403130145056
oct4010454420476000
9615353163017340
10141327580953600
1141038766056068
1213a26294ab1400
1360b2197975c12
1426c84119041d6
1511513c49a1100
hex808964427c00

141327580953600 has 3168 divisors, whose sum is σ = 565780175251200. Its totient is φ = 33575377305600.

The previous prime is 141327580953539. The next prime is 141327580953649. The reversal of 141327580953600 is 6359085723141.

It is a happy number.

141327580953600 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 2 + 7 + 580 + 9 + 53 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×1413275809536002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 789539558311 + ... + 789539558489.

It is a 1-persistent number, because it is pandigital, but 2⋅141327580953600 = 282655161907200 is not.

Almost surely, 2141327580953600 is an apocalyptic number.

141327580953600 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 141327580953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282890087625600).

141327580953600 is an abundant number, since it is smaller than the sum of its proper divisors (424452594297600).

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

141327580953600 is a wasteful number, since it uses less digits than its factorization.

141327580953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 141327580953600 in words is "one hundred forty-one trillion, three hundred twenty-seven billion, five hundred eighty million, nine hundred fifty-three thousand, six hundred".