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5414132500 = 225472193229
BaseRepresentation
bin1010000101011010…
…10001101100010100
3111222022122102112221
411002231101230110
542042004220000
62253123352124
7251111236600
oct50255215424
914868572487
105414132500
112329155977
121071222644
136838aa9ca
143950a4500
1521a4ac61a
hex142b51b14

5414132500 has 180 divisors, whose sum is σ = 13904439780. Its totient is φ = 1838592000.

The previous prime is 5414132459. The next prime is 5414132513. The reversal of 5414132500 is 52314145.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 3553590544 + 1860541956 = 59612^2 + 43134^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23642386 + ... + 23642614.

Almost surely, 25414132500 is an apocalyptic number.

5414132500 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 5414132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6952219890).

5414132500 is an abundant number, since it is smaller than the sum of its proper divisors (8490307280).

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

5414132500 is a wasteful number, since it uses less digits than its factorization.

5414132500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5414132500 is about 73580.7889329817. The cubic root of 5414132500 is about 1755.9398163795.

Adding to 5414132500 its reverse (52314145), we get a palindrome (5466446645).

The spelling of 5414132500 in words is "five billion, four hundred fourteen million, one hundred thirty-two thousand, five hundred".