Search a number
-
+
231414330000330 = 2325232923471642513
BaseRepresentation
bin110100100111100001011000…
…111011111000001111001010
31010100100222211112202001110100
4310213201120323320033022
5220312443021440002310
62140102135305030230
766513063553451511
oct6447413073701712
91110328745661410
10231414330000330
11678102a2364a74
1221b55792a85376
139c1837c0b6b19
144120728835678
151bb4940093ec0
hexd27858ef83ca

231414330000330 has 192 divisors, whose sum is σ = 649763821474560. Its totient is φ = 56967677319168.

The previous prime is 231414330000313. The next prime is 231414330000341. The reversal of 231414330000330 is 33000033414132.

231414330000330 is a `hidden beast` number, since 2 + 3 + 14 + 14 + 3 + 300 + 0 + 0 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 231414330000294 and 231414330000303.

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, 140069154 + ... + 141711666.

It is an arithmetic number, because the mean of its divisors is an integer number (3384186570180).

Almost surely, 2231414330000330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231414330000330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324881910737280).

231414330000330 is an abundant number, since it is smaller than the sum of its proper divisors (418349491474230).

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

231414330000330 is a wasteful number, since it uses less digits than its factorization.

231414330000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644925 (or 1644922 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 231414330000330 its reverse (33000033414132), we get a palindrome (264414363414462).

The spelling of 231414330000330 in words is "two hundred thirty-one trillion, four hundred fourteen billion, three hundred thirty million, three hundred thirty", and thus it is an aban number.