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1314332431500 = 2235311243832029
BaseRepresentation
bin10011001000000100010…
…100010101010010001100
311122122112002100102002110
4103020010110111102030
5133013223100302000
62443443533224020
7163646245223064
oct23100424252214
94578462312073
101314332431500
11467450436100
12192887332010
1396c3054aa3a
1447884c783a4
15242c7321850
hex1320451548c

1314332431500 has 576 divisors, whose sum is σ = 4358753118720. Its totient is φ = 307315008000.

The previous prime is 1314332431453. The next prime is 1314332431523. The reversal of 1314332431500 is 51342334131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 647772486 + ... + 647774514.

It is an arithmetic number, because the mean of its divisors is an integer number (7567279720).

Almost surely, 21314332431500 is an apocalyptic number.

1314332431500 is a gapful number since it is divisible by the number (10) 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 1314332431500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179376559360).

1314332431500 is an abundant number, since it is smaller than the sum of its proper divisors (3044420687220).

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

1314332431500 is a wasteful number, since it uses less digits than its factorization.

1314332431500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 1314332431500 its reverse (51342334131), we get a palindrome (1365674765631).

The spelling of 1314332431500 in words is "one trillion, three hundred fourteen billion, three hundred thirty-two million, four hundred thirty-one thousand, five hundred".