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14245885440 = 29325618311
BaseRepresentation
bin11010100010001111…
…01111011000000000
31100202211010221222200
431101013233120000
5213133421313230
610313334433200
71013012012463
oct152107573000
940684127880
1014245885440
116050481646
122916b02800
131460540817
149920012da
15585a03160
hex3511ef600

14245885440 has 120 divisors (see below), whose sum is σ = 49337587728. Its totient is φ = 3798896640.

The previous prime is 14245885439. The next prime is 14245885457. The reversal of 14245885440 is 4458854241.

14245885440 is a `hidden beast` number, since 1 + 4 + 24 + 5 + 88 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286116 + ... + 332195.

Almost surely, 214245885440 is an apocalyptic number.

14245885440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14245885440 is an abundant number, since it is smaller than the sum of its proper divisors (35091702288).

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

14245885440 is an equidigital number, since it uses as much as digits as its factorization.

14245885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618340 (or 618321 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 14245885440 in words is "fourteen billion, two hundred forty-five million, eight hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 618311 1236622 1854933 2473244 3091555 3709866 4946488 5564799 6183110 7419732 9274665 9892976 11129598 12366220 14839464 18549330 19785952 22259196 24732440 27823995 29678928 37098660 39571904 44518392 49464880 55647990 59357856 74197320 79143808 89036784 98929760 111295980 118715712 148394640 158287616 178073568 197859520 222591960 237431424 296789280 316575232 356147136 395719040 445183920 474862848 593578560 712294272 791438080 890367840 949725696 1187157120 1424588544 1582876160 1780735680 2374314240 2849177088 3561471360 4748628480 7122942720 14245885440