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1413241440 = 2535132343229
BaseRepresentation
bin101010000111100…
…0101101001100000
310122111021002210120
41110033011221200
510343242211230
6352122400240
750010232302
oct12417055140
93574232716
101413241440
11665813236
12335360080
13196a36850
14d599b972
158410d310
hex543c5a60

1413241440 has 384 divisors, whose sum is σ = 5141283840. Its totient is φ = 323592192.

The previous prime is 1413241411. The next prime is 1413241441. The reversal of 1413241440 is 441423141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1413241440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413241441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6171246 + ... + 6171474.

It is an arithmetic number, because the mean of its divisors is an integer number (13388760).

Almost surely, 21413241440 is an apocalyptic number.

1413241440 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 1413241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570641920).

1413241440 is an abundant number, since it is smaller than the sum of its proper divisors (3728042400).

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

1413241440 is a wasteful number, since it uses less digits than its factorization.

1413241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1413241440 is about 37593.1036228721. The cubic root of 1413241440 is about 1122.2047980100.

Adding to 1413241440 its reverse (441423141), we get a palindrome (1854664581).

The spelling of 1413241440 in words is "one billion, four hundred thirteen million, two hundred forty-one thousand, four hundred forty".