Search a number
-
+
6146300841300 = 22385258715959
BaseRepresentation
bin101100101110000110000…
…0101000000110101010100
3210202120200021101100000000
41121130030011000311110
51301200111003410200
621023323245451300
71203025031101164
oct131341405006524
923676607340000
106146300841300
111a5a6a4655954
1283323b870b30
13357794421549
141736a817c5a4
15a9d2ce1a300
hex5970c140d54

6146300841300 has 324 divisors, whose sum is σ = 20040528886560. Its totient is φ = 1636118844480.

The previous prime is 6146300841299. The next prime is 6146300841377. The reversal of 6146300841300 is 31480036416.

It is a happy number.

6146300841300 is a `hidden beast` number, since 6 + 1 + 4 + 6 + 300 + 8 + 41 + 300 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 385122721 + ... + 385138679.

Almost surely, 26146300841300 is an apocalyptic number.

6146300841300 is a gapful number since it is divisible by the number (60) 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 6146300841300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10020264443280).

6146300841300 is an abundant number, since it is smaller than the sum of its proper divisors (13894228045260).

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

6146300841300 is a wasteful number, since it uses less digits than its factorization.

6146300841300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16584 (or 16556 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 6146300841300 its reverse (31480036416), we get a palindrome (6177780877716).

The spelling of 6146300841300 in words is "six trillion, one hundred forty-six billion, three hundred million, eight hundred forty-one thousand, three hundred".