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13214030032 = 247294394613
BaseRepresentation
bin11000100111001111…
…00001100011010000
31021002220112021110201
430103213201203100
5204030242430112
610023114304544
7645312254620
oct142347414320
937086467421
1013214030032
115670a80385
122689428154
13132782bca8
148d4d60880
1552512d257
hex3139e18d0

13214030032 has 80 divisors (see below), whose sum is σ = 30972839040. Its totient is φ = 5340658176.

The previous prime is 13214029999. The next prime is 13214030033. The reversal of 13214030032 is 23003041231.

It is a super-2 number, since 2×132140300322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13214029991 and 13214030009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13214030033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92358 + ... + 186970.

It is an arithmetic number, because the mean of its divisors is an integer number (387160488).

Almost surely, 213214030032 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 13214030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15486419520).

13214030032 is an abundant number, since it is smaller than the sum of its proper divisors (17758809008).

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

13214030032 is a wasteful number, since it uses less digits than its factorization.

13214030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94700 (or 94694 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13214030032 its reverse (23003041231), we get a palindrome (36217071263).

The spelling of 13214030032 in words is "thirteen billion, two hundred fourteen million, thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 43 56 58 86 112 116 172 203 232 301 344 406 464 602 688 812 1204 1247 1624 2408 2494 3248 4816 4988 8729 9976 17458 19952 34916 69832 94613 139664 189226 378452 662291 756904 1324582 1513808 2649164 2743777 4068359 5298328 5487554 8136718 10596656 10975108 16273436 19206439 21950216 28478513 32546872 38412878 43900432 56957026 65093744 76825756 113914052 117982411 153651512 227828104 235964822 307303024 455656208 471929644 825876877 943859288 1651753754 1887718576 3303507508 6607015016 13214030032