Search a number
-
+
6324143114520 = 2334571131181509
BaseRepresentation
bin101110000000111010001…
…0011011100100100011000
3211101120201101222212120000
41130001310103130210120
51312103321114131040
621241134330533000
71221622106345520
oct134016423344430
924346641885500
106324143114520
112019065a10a60
128617b2897160
1336b49701588a
1417c139582680
15ae78aea7130
hex5c0744dc918

6324143114520 has 640 divisors, whose sum is σ = 26586710092800. Its totient is φ = 1309866163200.

The previous prime is 6324143114489. The next prime is 6324143114521. The reversal of 6324143114520 is 254113414236.

6324143114520 is a `hidden beast` number, since 6 + 3 + 2 + 4 + 14 + 3 + 114 + 520 = 666.

It is a super-2 number, since 2×63241431145202 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6324143114521) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 77547526 + ... + 77629034.

It is an arithmetic number, because the mean of its divisors is an integer number (41541734520).

Almost surely, 26324143114520 is an apocalyptic number.

6324143114520 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 6324143114520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13293355046400).

6324143114520 is an abundant number, since it is smaller than the sum of its proper divisors (20262566978280).

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

6324143114520 is a wasteful number, since it uses less digits than its factorization.

6324143114520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81861 (or 81848 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 6324143114520 its reverse (254113414236), we get a palindrome (6578256528756).

The spelling of 6324143114520 in words is "six trillion, three hundred twenty-four billion, one hundred forty-three million, one hundred fourteen thousand, five hundred twenty".