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14130204432 = 2431744339089
BaseRepresentation
bin11010010100011100…
…11100111100010000
31100110202110202110220
431022032130330100
5212414313020212
610254043153040
71010105520201
oct151216347420
940422422426
1014130204432
115aa114a803
1228a4215780
131442599716
149808cb5a8
1557a7a238c
hex34a39cf10

14130204432 has 80 divisors (see below), whose sum is σ = 38738502720. Its totient is φ = 4422885376.

The previous prime is 14130204421. The next prime is 14130204479. The reversal of 14130204432 is 23440203141.

It is a super-2 number, since 2×141302044322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341944 + ... + 381032.

It is an arithmetic number, because the mean of its divisors is an integer number (484231284).

Almost surely, 214130204432 is an apocalyptic number.

14130204432 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 14130204432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19369251360).

14130204432 is an abundant number, since it is smaller than the sum of its proper divisors (24608298288).

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

14130204432 is a wasteful number, since it uses less digits than its factorization.

14130204432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39560 (or 39554 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14130204432 its reverse (23440203141), we get a palindrome (37570407573).

The spelling of 14130204432 in words is "fourteen billion, one hundred thirty million, two hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 443 816 886 1329 1772 2658 3544 5316 7088 7531 10632 15062 21264 22593 30124 39089 45186 60248 78178 90372 117267 120496 156356 180744 234534 312712 361488 469068 625424 664513 938136 1329026 1876272 1993539 2658052 3987078 5316104 7974156 10632208 15948312 17316427 31896624 34632854 51949281 69265708 103898562 138531416 207797124 277062832 294379259 415594248 588758518 831188496 883137777 1177517036 1766275554 2355034072 3532551108 4710068144 7065102216 14130204432