Search a number
-
+
9831411996040 = 23523294376111261
BaseRepresentation
bin1000111100010000110111…
…0100011101010110001000
31021210212121000011022010201
42033010031310131112020
52242034212432333130
632524253251021544
72033203361063545
oct217041564352610
937725530138121
109831411996040
113150529849428
121129487b9a8b4
135641378c016b
1425dbb2c0bbcc
15120b0e55bbca
hex8f10dd1d588

9831411996040 has 256 divisors, whose sum is σ = 24467983372800. Its totient is φ = 3542435635200.

The previous prime is 9831411996001. The next prime is 9831411996041. The reversal of 9831411996040 is 406991141389.

It is a super-3 number, since 3×98314119960403 (a number of 40 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9831411996041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 873044010 + ... + 873055270.

It is an arithmetic number, because the mean of its divisors is an integer number (95578060050).

Almost surely, 29831411996040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9831411996040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12233991686400).

9831411996040 is an abundant number, since it is smaller than the sum of its proper divisors (14636571376760).

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

9831411996040 is a wasteful number, since it uses less digits than its factorization.

9831411996040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12128 (or 12124 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 55.

The spelling of 9831411996040 in words is "nine trillion, eight hundred thirty-one billion, four hundred eleven million, nine hundred ninety-six thousand, forty".