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5143314400 = 255272179733
BaseRepresentation
bin1001100101001000…
…01011111111100000
3111021110001102221221
410302210023333200
541013142030100
62210211024424
7241312310500
oct46244137740
914243042857
105143314400
1121aa2a3264
12bb659b114
1363c759703
1436b129a00
1520181501a
hex13290bfe0

5143314400 has 216 divisors, whose sum is σ = 14707730520. Its totient is φ = 1751178240.

The previous prime is 5143314391. The next prime is 5143314403. The reversal of 5143314400 is 44133415.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5143314403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7016434 + ... + 7017166.

It is an arithmetic number, because the mean of its divisors is an integer number (68091345).

Almost surely, 25143314400 is an apocalyptic number.

5143314400 is a gapful number since it is divisible by the number (50) 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 5143314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353865260).

5143314400 is an abundant number, since it is smaller than the sum of its proper divisors (9564416120).

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

5143314400 is a wasteful number, since it uses less digits than its factorization.

5143314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 5143314400 is about 71716.9045623136. The cubic root of 5143314400 is about 1726.1599032272.

Adding to 5143314400 its reverse (44133415), we get a palindrome (5187447815).

The spelling of 5143314400 in words is "five billion, one hundred forty-three million, three hundred fourteen thousand, four hundred".