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1413321312 = 2531336701
BaseRepresentation
bin101010000111101…
…1001001001100000
310122111102011100210
41110033121021200
510343302240222
6352124214120
750011014204
oct12417311140
93574364323
101413321312
11665868247
1233539a340
13196a64000
14d59bcb04
1584126d0c
hex543d9260

1413321312 has 96 divisors (see below), whose sum is σ = 4019591520. Its totient is φ = 434803200.

The previous prime is 1413321307. The next prime is 1413321313. The reversal of 1413321312 is 2131233141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413321313) 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 15 ways as a sum of consecutive naturals, for example, 207562 + ... + 214262.

It is an arithmetic number, because the mean of its divisors is an integer number (41870745).

Almost surely, 21413321312 is an apocalyptic number.

1413321312 is a gapful number since it is divisible by the number (12) 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 1413321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009795760).

1413321312 is an abundant number, since it is smaller than the sum of its proper divisors (2606270208).

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

1413321312 is an equidigital number, since it uses as much as digits as its factorization.

1413321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6719 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 1413321312 is about 37594.1659303674. The cubic root of 1413321312 is about 1122.2259387838.

Adding to 1413321312 its reverse (2131233141), we get a palindrome (3544554453).

The spelling of 1413321312 in words is "one billion, four hundred thirteen million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2197 2704 4056 4394 5408 6591 6701 8112 8788 13182 13402 16224 17576 20103 26364 26804 35152 40206 52728 53608 70304 80412 87113 105456 107216 160824 174226 210912 214432 261339 321648 348452 522678 643296 696904 1045356 1132469 1393808 2090712 2264938 2787616 3397407 4181424 4529876 6794814 8362848 9059752 13589628 14722097 18119504 27179256 29444194 36239008 44166291 54358512 58888388 88332582 108717024 117776776 176665164 235553552 353330328 471107104 706660656 1413321312