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1417381368 = 23313326881
BaseRepresentation
bin101010001111011…
…1000010111111000
310122210001102201020
41110132320113320
510400322200433
6352351222440
750060354124
oct12436702770
93583042636
101417381368
11668090667
12336817a20
13197856000
14d6358584
1584679cb3
hex547b85f8

1417381368 has 64 divisors (see below), whose sum is σ = 3838749600. Its totient is φ = 436101120.

The previous prime is 1417381297. The next prime is 1417381369. The reversal of 1417381368 is 8631837141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1417381369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39288 + ... + 66168.

Almost surely, 21417381368 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 1417381368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919374800).

1417381368 is an abundant number, since it is smaller than the sum of its proper divisors (2421368232).

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

1417381368 is a wasteful number, since it uses less digits than its factorization.

1417381368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26929 (or 26899 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 1417381368 is about 37648.1256903979. The cubic root of 1417381368 is about 1123.2995196456.

The spelling of 1417381368 in words is "one billion, four hundred seventeen million, three hundred eighty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 2197 4056 4394 6591 8788 13182 17576 26364 26881 52728 53762 80643 107524 161286 215048 322572 349453 645144 698906 1048359 1397812 2096718 2795624 4193436 4542889 8386872 9085778 13628667 18171556 27257334 36343112 54514668 59057557 109029336 118115114 177172671 236230228 354345342 472460456 708690684 1417381368