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14131013312 = 2613103269613
BaseRepresentation
bin11010010100100011…
…00010011011000000
31100110210222212001102
431022101202123000
5212420014411222
610254112353532
71010115426353
oct151221423300
940423885042
1014131013312
115aa16524a9
1228a45458a8
1314427c0950
14980a5c29a
1557a8b1d92
hex34a4626c0

14131013312 has 112 divisors (see below), whose sum is σ = 30654711360. Its totient is φ = 6424178688.

The previous prime is 14131013311. The next prime is 14131013321. The reversal of 14131013312 is 21331013141.

It is not an unprimeable number, because it can be changed into a prime (14131013311) 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, 23051918 + ... + 23052530.

It is an arithmetic number, because the mean of its divisors is an integer number (273702780).

Almost surely, 214131013312 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 14131013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15327355680).

14131013312 is an abundant number, since it is smaller than the sum of its proper divisors (16523698048).

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

14131013312 is a wasteful number, since it uses less digits than its factorization.

14131013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 14131013312 its reverse (21331013141), we get a palindrome (35462026453).

The spelling of 14131013312 in words is "fourteen billion, one hundred thirty-one million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 206 208 269 412 416 538 613 824 832 1076 1226 1339 1648 2152 2452 2678 3296 3497 4304 4904 5356 6592 6994 7969 8608 9808 10712 13988 15938 17216 19616 21424 27707 27976 31876 39232 42848 55414 55952 63139 63752 85696 110828 111904 126278 127504 164897 221656 223808 252556 255008 329794 360191 443312 505112 510016 659588 720382 820807 886624 1010224 1319176 1440764 1641614 1773248 2020448 2143661 2638352 2881528 3283228 4040896 4287322 5276704 5763056 6566456 8574644 10553408 11526112 13132912 16984391 17149288 23052224 26265824 33968782 34298576 52531648 67937564 68597152 135875128 137194304 220797083 271750256 441594166 543500512 883188332 1087001024 1766376664 3532753328 7065506656 14131013312