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14446894880 = 2551110975307
BaseRepresentation
bin11010111010001101…
…00001111100100000
31101021211101022002202
431131012201330200
5214041401114010
610345315032332
71021002403025
oct153506417440
941254338082
1014446894880
116143993a50
12297229b6a8
13149308c412
149b09a754c
155984ab6a5
hex35d1a1f20

14446894880 has 96 divisors (see below), whose sum is σ = 37575679680. Its totient is φ = 5205150720.

The previous prime is 14446894879. The next prime is 14446894897. The reversal of 14446894880 is 8849864441.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154187 + ... + 229493.

It is an arithmetic number, because the mean of its divisors is an integer number (391413330).

Almost surely, 214446894880 is an apocalyptic number.

14446894880 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 14446894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18787839840).

14446894880 is an abundant number, since it is smaller than the sum of its proper divisors (23128784800).

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

14446894880 is a wasteful number, since it uses less digits than its factorization.

14446894880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75442 (or 75434 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 56.

The spelling of 14446894880 in words is "fourteen billion, four hundred forty-six million, eight hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 109 110 160 176 218 220 352 436 440 545 872 880 1090 1199 1744 1760 2180 2398 3488 4360 4796 5995 8720 9592 11990 17440 19184 23980 38368 47960 75307 95920 150614 191840 301228 376535 602456 753070 828377 1204912 1506140 1656754 2409824 3012280 3313508 4141885 6024560 6627016 8208463 8283770 12049120 13254032 16416926 16567540 26508064 32833852 33135080 41042315 65667704 66270160 82084630 90293093 131335408 132540320 164169260 180586186 262670816 328338520 361172372 451465465 656677040 722344744 902930930 1313354080 1444689488 1805861860 2889378976 3611723720 7223447440 14446894880