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1413442420 = 2251311348109
BaseRepresentation
bin101010000111111…
…0110101101110100
310122111122022111021
41110033312231310
510343320124140
6352130550524
750012030245
oct12417665564
93574568437
101413442420
11665940235
12335438444
13196aa7180
14d5a10ccc
158414cb4a
hex543f6b74

1413442420 has 48 divisors (see below), whose sum is σ = 3224909520. Its totient is φ = 517257216.

The previous prime is 1413442411. The next prime is 1413442463. The reversal of 1413442420 is 242443141.

It can be written as a sum of positive squares in 8 ways, for example, as 402965476 + 1010476944 = 20074^2 + 31788^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5326 + ... + 53434.

It is an arithmetic number, because the mean of its divisors is an integer number (67185615).

Almost surely, 21413442420 is an apocalyptic number.

1413442420 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 1413442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612454760).

1413442420 is an abundant number, since it is smaller than the sum of its proper divisors (1811467100).

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

1413442420 is a wasteful number, since it uses less digits than its factorization.

1413442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48244 (or 48242 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1413442420 is about 37595.7766245093. The cubic root of 1413442420 is about 1122.2579925133.

Adding to 1413442420 its reverse (242443141), we get a palindrome (1655885561).

The spelling of 1413442420 in words is "one billion, four hundred thirteen million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1469 2260 2938 5876 7345 14690 29380 48109 96218 192436 240545 481090 625417 962180 1250834 2501668 3127085 5436317 6254170 10872634 12508340 21745268 27181585 54363170 70672121 108726340 141344242 282688484 353360605 706721210 1413442420