Search a number
-
+
141985133136 = 2432711192272969
BaseRepresentation
bin1000010000111011111…
…0010011001001010000
3111120111012002002110200
42010032332103021100
54311241143230021
6145121014055200
713154344501320
oct2041676231120
9446435062420
10141985133136
11552409a7040
122362664a500
1310509c324a2
146c2d137280
153a60149126
hex210ef93250

141985133136 has 480 divisors, whose sum is σ = 523959321600. Its totient is φ = 34772613120.

The previous prime is 141985133099. The next prime is 141985133177. The reversal of 141985133136 is 631331589141.

141985133136 is a `hidden beast` number, since 1 + 41 + 98 + 513 + 3 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 141985133091 and 141985133100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47821060 + ... + 47824028.

It is an arithmetic number, because the mean of its divisors is an integer number (1091581920).

Almost surely, 2141985133136 is an apocalyptic number.

141985133136 is a gapful number since it is divisible by the number (16) 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 141985133136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261979660800).

141985133136 is an abundant number, since it is smaller than the sum of its proper divisors (381974188464).

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

141985133136 is a wasteful number, since it uses less digits than its factorization.

141985133136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3238 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 141985133136 in words is "one hundred forty-one billion, nine hundred eighty-five million, one hundred thirty-three thousand, one hundred thirty-six".