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1413381438 = 23274126673
BaseRepresentation
bin101010000111110…
…0111110100111110
310122111112012211200
41110033213310332
510343311201223
6352125400330
750011354410
oct12417476476
93574465750
101413381438
116658a9437
123354090a6
13196a854a1
14d59d69b0
1584139a43
hex543e7d3e

1413381438 has 72 divisors (see below), whose sum is σ = 3587782224. Its totient is φ = 393914880.

The previous prime is 1413381427. The next prime is 1413381449. The reversal of 1413381438 is 8341833141.

It is a happy number.

1413381438 is a `hidden beast` number, since 14 + 133 + 81 + 438 = 666.

It is an interprime number because it is at equal distance from previous prime (1413381427) and next prime (1413381449).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208470 + ... + 215142.

Almost surely, 21413381438 is an apocalyptic number.

1413381438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413381438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793891112).

1413381438 is an abundant number, since it is smaller than the sum of its proper divisors (2174400786).

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

1413381438 is a wasteful number, since it uses less digits than its factorization.

1413381438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6770 (or 6726 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1413381438 is about 37594.9655938132. The cubic root of 1413381438 is about 1122.2418525984.

The spelling of 1413381438 in words is "one billion, four hundred thirteen million, three hundred eighty-one thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1681 1722 2583 3362 5043 5166 6673 10086 11767 13346 15129 20019 23534 30258 35301 40038 46711 60057 70602 93422 105903 120114 140133 211806 273593 280266 420399 547186 820779 840798 1641558 1915151 2462337 3830302 4924674 5745453 11217313 11490906 17236359 22434626 33651939 34472718 67303878 78521191 100955817 157042382 201911634 235563573 471127146 706690719 1413381438