Search a number
-
+
5133114000 = 243253740739
BaseRepresentation
bin1001100011111010…
…10001101010010000
3111020201212012122100
410301331101222100
541003034122000
62205204240400
7241126514640
oct46175215220
914221765570
105133114000
1121a4566583
12bb30a0100
1363a5c7881
14369a32520
1520099ca00
hex131f51a90

5133114000 has 240 divisors, whose sum is σ = 20489938560. Its totient is φ = 1173254400.

The previous prime is 5133113989. The next prime is 5133114031. The reversal of 5133114000 is 4113315.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105631 + ... + 146369.

It is an arithmetic number, because the mean of its divisors is an integer number (85374744).

Almost surely, 25133114000 is an apocalyptic number.

5133114000 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 5133114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244969280).

5133114000 is an abundant number, since it is smaller than the sum of its proper divisors (15356824560).

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

5133114000 is a wasteful number, since it uses less digits than its factorization.

5133114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40775 (or 40756 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5133114000 is about 71645.7535378057. The cubic root of 5133114000 is about 1725.0180212358.

Adding to 5133114000 its reverse (4113315), we get a palindrome (5137227315).

The spelling of 5133114000 in words is "five billion, one hundred thirty-three million, one hundred fourteen thousand".