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14102011404 = 223213151431463
BaseRepresentation
bin11010010001000101…
…11001111000001100
31100101210102101220200
431020202321320030
5212340103331104
610251155013500
71006314055605
oct151042717014
940353371820
1014102011404
115a87243988
12289689a290
1314397a8060
1497ac6cdac
15578083b39
hex3488b9e0c

14102011404 has 144 divisors (see below), whose sum is σ = 38816354304. Its totient is φ = 4291056000.

The previous prime is 14102011397. The next prime is 14102011433. The reversal of 14102011404 is 40411020141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30457677 + ... + 30458139.

It is an arithmetic number, because the mean of its divisors is an integer number (269558016).

Almost surely, 214102011404 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 14102011404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19408177152).

14102011404 is an abundant number, since it is smaller than the sum of its proper divisors (24714342900).

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

14102011404 is a wasteful number, since it uses less digits than its factorization.

14102011404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14102011404 its reverse (40411020141), we get a palindrome (54513031545).

The spelling of 14102011404 in words is "fourteen billion, one hundred two million, eleven thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 151 156 234 302 431 453 463 468 604 862 906 926 1293 1359 1389 1724 1812 1852 1963 2586 2718 2778 3879 3926 4167 5172 5436 5556 5603 5889 6019 7758 7852 8334 11206 11778 12038 15516 16668 16809 17667 18057 22412 23556 24076 33618 35334 36114 50427 54171 65081 67236 69913 70668 72228 100854 108342 130162 139826 195243 199553 201708 209739 216684 260324 279652 390486 399106 419478 585729 598659 629217 780972 798212 838956 846053 908869 1171458 1197318 1258434 1692106 1795977 1817738 2342916 2394636 2516868 2538159 2594189 2726607 3384212 3591954 3635476 5076318 5188378 5453214 7183908 7614477 7782567 8179821 10152636 10376756 10906428 15228954 15565134 16359642 23347701 30132503 30457908 31130268 32719284 46695402 60265006 90397509 93390804 120530012 180795018 271192527 361590036 391722539 542385054 783445078 1084770108 1175167617 1566890156 2350335234 3525502851 4700670468 7051005702 14102011404