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1413413504 = 27311073329
BaseRepresentation
bin101010000111110…
…1111101010000000
310122111120211211022
41110033233222000
510343313213004
6352130205012
750011550036
oct12417575200
93574524738
101413413504
11665920538
12335423768
13196a96c69
14d5a04556
15841442be
hex543efa80

1413413504 has 64 divisors (see below), whose sum is σ = 2934662400. Its totient is φ = 677314560.

The previous prime is 1413413501. The next prime is 1413413509. The reversal of 1413413504 is 4053143141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1413413501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 422912 + ... + 426240.

It is an arithmetic number, because the mean of its divisors is an integer number (45854100).

Almost surely, 21413413504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467331200).

1413413504 is an abundant number, since it is smaller than the sum of its proper divisors (1521248896).

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

1413413504 is a wasteful number, since it uses less digits than its factorization.

1413413504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1413413504 is about 37595.3920580701. The cubic root of 1413413504 is about 1122.2503394641.

Adding to 1413413504 its reverse (4053143141), we get a palindrome (5466556645).

The spelling of 1413413504 in words is "one billion, four hundred thirteen million, four hundred thirteen thousand, five hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 107 124 128 214 248 428 496 856 992 1712 1984 3317 3329 3424 3968 6634 6658 6848 13268 13316 13696 26536 26632 53072 53264 103199 106144 106528 206398 212288 213056 356203 412796 424576 426112 712406 825592 1424812 1651184 2849624 3302368 5699248 6604736 11042293 11398496 13209472 22084586 22796992 44169172 45593984 88338344 176676688 353353376 706706752 1413413504