Search a number
-
+
14223443014120 = 2353744359936217
BaseRepresentation
bin1100111011111010011101…
…0001001011000111101000
31212100202012012101010222011
43032332213101023013220
53331014102402422440
650130054242205304
72665416114546364
oct316764721130750
955322165333864
1014223443014120
11459414586031a
121718722353834
137c235a0542c2
143725bdbdc2a4
15199eb74e09ea
hexcefa744b1e8

14223443014120 has 128 divisors (see below), whose sum is σ = 32997785184000. Its totient is φ = 5513741715456.

The previous prime is 14223443014073. The next prime is 14223443014153. The reversal of 14223443014120 is 2141034432241.

It is a happy number.

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, 392710252 + ... + 392746468.

It is an arithmetic number, because the mean of its divisors is an integer number (257795196750).

Almost surely, 214223443014120 is an apocalyptic number.

14223443014120 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 14223443014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498892592000).

14223443014120 is an abundant number, since it is smaller than the sum of its proper divisors (18774342169880).

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

14223443014120 is a wasteful number, since it uses less digits than its factorization.

14223443014120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37307 (or 37303 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 14223443014120 its reverse (2141034432241), we get a palindrome (16364477446361).

The spelling of 14223443014120 in words is "fourteen trillion, two hundred twenty-three billion, four hundred forty-three million, fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 443 599 740 886 1198 1480 1772 2215 2396 2995 3544 4430 4792 5990 8860 11980 16391 17720 22163 23960 32782 36217 44326 65564 72434 81955 88652 110815 131128 144868 163910 177304 181085 221630 265357 289736 327820 362170 443260 530714 655640 724340 886520 1061428 1326785 1340029 1448680 2122856 2653570 2680058 5307140 5360116 6700145 9818209 10614280 10720232 13400290 16044131 19636418 21693983 26800580 32088262 39272836 43387966 49091045 53601160 64176524 78545672 80220655 86775932 98182090 108469915 128353048 160441310 173551864 196364180 216939830 320882620 392728360 433879660 593632847 641765240 802677371 867759320 1187265694 1605354742 2374531388 2968164235 3210709484 4013386855 4749062776 5936328470 6421418968 8026773710 9610434469 11872656940 16053547420 19220868938 23745313880 32107094840 38441737876 48052172345 76883475752 96104344690 192208689380 355586075353 384417378760 711172150706 1422344301412 1777930376765 2844688602824 3555860753530 7111721507060 14223443014120