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1412131320 = 2336579613
BaseRepresentation
bin101010000101011…
…0110100111111000
310122102011201000000
41110022312213320
510343001200240
6352042513000
746664626635
oct12412664770
93572151000
101412131320
11665125186
12334b05760
13196738482
14d578d18c
1583e8e430
hex542b69f8

1412131320 has 224 divisors, whose sum is σ = 4831934400. Its totient is φ = 371195136.

The previous prime is 1412131291. The next prime is 1412131327. The reversal of 1412131320 is 231312141.

It is a super-2 number, since 2×14121313202 = 3988229729849884800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1412131293 and 1412131302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412131327) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2303334 + ... + 2303946.

Almost surely, 21412131320 is an apocalyptic number.

1412131320 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 1412131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415967200).

1412131320 is an abundant number, since it is smaller than the sum of its proper divisors (3419803080).

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

1412131320 is an equidigital number, since it uses as much as digits as its factorization.

1412131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1412131320 is about 37578.3357800741. The cubic root of 1412131320 is about 1121.9108854271.

Adding to 1412131320 its reverse (231312141), we get a palindrome (1643443461).

The spelling of 1412131320 in words is "one billion, four hundred twelve million, one hundred thirty-one thousand, three hundred twenty".