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13443423120 = 2433537168211
BaseRepresentation
bin11001000010100101…
…00101101110010000
31021200220011122122000
430201102211232100
5210013004014440
610101551114000
7654066132261
oct144122455620
937626148560
1013443423120
115779509846
122732212900
131363207c4a
149175d4968
1553a341730
hex3214a5b90

13443423120 has 160 divisors (see below), whose sum is σ = 47556896640. Its totient is φ = 3488002560.

The previous prime is 13443423089. The next prime is 13443423131. The reversal of 13443423120 is 2132434431.

13443423120 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 342 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4186 + ... + 164025.

It is an arithmetic number, because the mean of its divisors is an integer number (297230604).

Almost surely, 213443423120 is an apocalyptic number.

13443423120 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 13443423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23778448320).

13443423120 is an abundant number, since it is smaller than the sum of its proper divisors (34113473520).

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

13443423120 is a wasteful number, since it uses less digits than its factorization.

13443423120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168270 (or 168258 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13443423120 its reverse (2132434431), we get a palindrome (15575857551).

The spelling of 13443423120 in words is "thirteen billion, four hundred forty-three million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 37 40 45 48 54 60 72 74 80 90 108 111 120 135 144 148 180 185 216 222 240 270 296 333 360 370 432 444 540 555 592 666 720 740 888 999 1080 1110 1332 1480 1665 1776 1998 2160 2220 2664 2960 3330 3996 4440 4995 5328 6660 7992 8880 9990 13320 15984 19980 26640 39960 79920 168211 336422 504633 672844 841055 1009266 1345688 1513899 1682110 2018532 2523165 2691376 3027798 3364220 4037064 4541697 5046330 6055596 6223807 6728440 7569495 8074128 9083394 10092660 12111192 12447614 13456880 15138990 18166788 18671421 20185320 22708485 24222384 24895228 30277980 31119035 36333576 37342842 40370640 45416970 49790456 56014263 60555960 62238070 72667152 74685684 90833940 93357105 99580912 112028526 121111920 124476140 149371368 168042789 181667880 186714210 224057052 248952280 280071315 298742736 336085578 363335760 373428420 448114104 497904560 560142630 672171156 746856840 840213945 896228208 1120285260 1344342312 1493713680 1680427890 2240570520 2688684624 3360855780 4481141040 6721711560 13443423120