Search a number
-
+
32143324011000 = 23353731371071337
BaseRepresentation
bin1110100111011111100110…
…11010001101100111111000
311012210212112111221202001220
413103233303122031213320
513203114011421323000
6152210234511112040
76525164351031606
oct723576332154770
9135725474852056
1032143324011000
11a2729a847a704
123731712212620
1314c2144103907
147d1a60ad4876
153ab1c57201a0
hex1d3bf368d9f8

32143324011000 has 256 divisors, whose sum is σ = 102403114220160. Its totient is φ = 8392417689600.

The previous prime is 32143324010989. The next prime is 32143324011049. The reversal of 32143324011000 is 11042334123.

It is a happy number.

It is a super-2 number, since 2×321433240110002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29467332 + ... + 30538668.

Almost surely, 232143324011000 is an apocalyptic number.

32143324011000 is a gapful number since it is divisible by the number (30) 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 32143324011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51201557110080).

32143324011000 is an abundant number, since it is smaller than the sum of its proper divisors (70259790209160).

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

32143324011000 is a wasteful number, since it uses less digits than its factorization.

32143324011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071571 (or 1071557 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 32143324011000 its reverse (11042334123), we get a palindrome (32154366345123).

The spelling of 32143324011000 in words is "thirty-two trillion, one hundred forty-three billion, three hundred twenty-four million, eleven thousand".