Search a number
-
+
32431323654114 = 237113712721436971
BaseRepresentation
bin1110101111111000000011…
…00001101010011111100010
311020211101220201002110220120
413113330001201222133202
513222323322323412424
6152550424443021110
76555041301433110
oct727740141523742
9136741821073816
1032431323654114
11a3740577a1190
1237794a880a796
1315133509a4418
14801982164ab0
153b392e5dca79
hex1d7f0186a7e2

32431323654114 has 256 divisors, whose sum is σ = 83758367637504. Its totient is φ = 8126556076800.

The previous prime is 32431323654089. The next prime is 32431323654137. The reversal of 32431323654114 is 41145632313423.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4652316649 + ... + 4652323619.

It is an arithmetic number, because the mean of its divisors is an integer number (327181123584).

Almost surely, 232431323654114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32431323654114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41879183818752).

32431323654114 is an abundant number, since it is smaller than the sum of its proper divisors (51327043983390).

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

32431323654114 is a wasteful number, since it uses less digits than its factorization.

32431323654114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9301.

The product of its digits is 622080, while the sum is 42.

Adding to 32431323654114 its reverse (41145632313423), we get a palindrome (73576955967537).

The spelling of 32431323654114 in words is "thirty-two trillion, four hundred thirty-one billion, three hundred twenty-three million, six hundred fifty-four thousand, one hundred fourteen".