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14011230120 = 2335418573323
BaseRepresentation
bin11010000110010001…
…00110011110101000
31100011110121020101220
431003020212132220
5212143333330440
610234153142040
71004132330256
oct150310463650
940143536356
1014011230120
115a3aa79628
1228703ba920
131423a41614
1496cb9b5d6
155701008d0
hex3432267a8

14011230120 has 128 divisors (see below), whose sum is σ = 43122119040. Its totient is φ = 3639848960.

The previous prime is 14011230109. The next prime is 14011230193. The reversal of 14011230120 is 2103211041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14011230120.

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, 4214779 + ... + 4218101.

It is an arithmetic number, because the mean of its divisors is an integer number (336891555).

Almost surely, 214011230120 is an apocalyptic number.

14011230120 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 14011230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21561059520).

14011230120 is an abundant number, since it is smaller than the sum of its proper divisors (29110888920).

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

14011230120 is a wasteful number, since it uses less digits than its factorization.

14011230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 14011230120 its reverse (2103211041), we get a palindrome (16114441161).

The spelling of 14011230120 in words is "fourteen billion, eleven million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 857 984 1230 1640 1714 2460 2571 3323 3428 4285 4920 5142 6646 6856 8570 9969 10284 12855 13292 16615 17140 19938 20568 25710 26584 33230 34280 35137 39876 49845 51420 66460 70274 79752 99690 102840 105411 132920 136243 140548 175685 199380 210822 272486 281096 351370 398760 408729 421644 527055 544972 681215 702740 817458 843288 1054110 1089944 1362430 1405480 1634916 2043645 2108220 2724860 2847811 3269832 4087290 4216440 5449720 5695622 8174580 8543433 11391244 14239055 16349160 17086866 22782488 28478110 34173732 42717165 56956220 68347464 85434330 113912440 116760251 170868660 233520502 341737320 350280753 467041004 583801255 700561506 934082008 1167602510 1401123012 1751403765 2335205020 2802246024 3502807530 4670410040 7005615060 14011230120