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14131402432 = 2674412243
BaseRepresentation
bin11010010100100110…
…00001011011000000
31100110211201121211021
431022103001123000
5212420114334212
610254124555224
71010121640000
oct151223013300
940424647737
1014131402432
115aa1898894
1228a46b2b14
1314428c8ab4
14980b20000
1557a93c307
hex34a4c16c0

14131402432 has 140 divisors (see below), whose sum is σ = 33526558296. Its totient is φ = 5905966080.

The previous prime is 14131402429. The next prime is 14131402433. The reversal of 14131402432 is 23420413141.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14131402397 and 14131402406.

It is not an unprimeable number, because it can be changed into a prime (14131402433) 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 19 ways as a sum of consecutive naturals, for example, 6299103 + ... + 6301345.

Almost surely, 214131402432 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 14131402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16763279148).

14131402432 is an abundant number, since it is smaller than the sum of its proper divisors (19395155864).

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

14131402432 is an frugal number, since it uses more digits than its factorization.

14131402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 14131402432 its reverse (23420413141), we get a palindrome (37551815573).

The spelling of 14131402432 in words is "fourteen billion, one hundred thirty-one million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 64 82 98 112 164 196 224 287 328 343 392 448 574 656 686 784 1148 1312 1372 1568 2009 2243 2296 2401 2624 2744 3136 4018 4486 4592 4802 5488 8036 8972 9184 9604 10976 14063 15701 16072 17944 18368 19208 21952 28126 31402 32144 35888 38416 56252 62804 64288 71776 76832 91963 98441 109907 112504 125608 128576 143552 153664 183926 196882 219814 225008 251216 367852 393764 439628 450016 502432 643741 735704 769349 787528 879256 900032 1004864 1287482 1471408 1538698 1575056 1758512 2574964 2942816 3077396 3150112 3517024 4506187 5149928 5385443 5885632 6154792 6300224 7034048 9012374 10299856 10770886 12309584 18024748 20599712 21541772 24619168 31543309 36049496 41199424 43083544 49238336 63086618 72098992 86167088 126173236 144197984 172334176 220803163 252346472 288395968 344668352 441606326 504692944 883212652 1009385888 1766425304 2018771776 3532850608 7065701216 14131402432