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14401341420 = 22352912836451
BaseRepresentation
bin11010110100110001…
…10000011111101100
31101011122122221111120
431122120300133230
5213443220411140
610341010420540
71016610245064
oct153230603754
941148587446
1014401341420
1161201aaa64
12295ab91750
1314867ccbcb
149a890a3a4
155944ae1d0
hex35a6307ec

14401341420 has 96 divisors (see below), whose sum is σ = 41753214720. Its totient is φ = 3704467200.

The previous prime is 14401341407. The next prime is 14401341467. The reversal of 14401341420 is 2414310441.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2229195 + ... + 2235645.

It is an arithmetic number, because the mean of its divisors is an integer number (434929320).

Almost surely, 214401341420 is an apocalyptic number.

14401341420 is a gapful number since it is divisible by the number (10) 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 14401341420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20876607360).

14401341420 is an abundant number, since it is smaller than the sum of its proper divisors (27351873300).

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

14401341420 is a wasteful number, since it uses less digits than its factorization.

14401341420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7775 (or 7773 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14401341420 its reverse (2414310441), we get a palindrome (16815651861).

The spelling of 14401341420 in words is "fourteen billion, four hundred one million, three hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1283 1740 2566 3849 5132 6415 6451 7698 12830 12902 15396 19245 19353 25660 25804 32255 37207 38490 38706 64510 74414 76980 77412 96765 111621 129020 148828 186035 187079 193530 223242 372070 374158 387060 446484 558105 561237 744140 748316 935395 1116210 1122474 1870790 2232420 2244948 2806185 3741580 5612370 8276633 11224740 16553266 24829899 33106532 41383165 49659798 82766330 99319596 124149495 165532660 240022357 248298990 480044714 496597980 720067071 960089428 1200111785 1440134142 2400223570 2880268284 3600335355 4800447140 7200670710 14401341420