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14226266453300 = 225211101313740819
BaseRepresentation
bin1100111100000100111110…
…0011101111010100110100
31212101000110222011201101122
43033001033203233110310
53331040343203001200
650131242342243112
72665546100436446
oct317011743572464
955330428151348
1014226266453300
114595364597a30
12171918ba26498
137c26b9c9a185
143727aaba4496
1519a0d030a385
hexcf04f8ef534

14226266453300 has 144 divisors (see below), whose sum is σ = 34022568041280. Its totient is φ = 5120209920000.

The previous prime is 14226266453281. The next prime is 14226266453317. The reversal of 14226266453300 is 335466262241.

It is a super-2 number, since 2×142262664533002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348500291 + ... + 348541109.

It is an arithmetic number, because the mean of its divisors is an integer number (236267833620).

Almost surely, 214226266453300 is an apocalyptic number.

14226266453300 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 14226266453300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17011284020640).

14226266453300 is an abundant number, since it is smaller than the sum of its proper divisors (19796301587980).

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

14226266453300 is a wasteful number, since it uses less digits than its factorization.

14226266453300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44082 (or 44075 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 44.

The spelling of 14226266453300 in words is "fourteen trillion, two hundred twenty-six billion, two hundred sixty-six million, four hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 3137 4444 5050 5555 6274 10100 11110 12548 15685 22220 27775 31370 34507 40819 55550 62740 69014 78425 81638 111100 138028 156850 163276 172535 204095 313700 316837 345070 408190 449009 633674 690140 816380 862675 898018 1020475 1267348 1584185 1725350 1796036 2040950 2245045 3168370 3450700 3485207 4081900 4122719 4490090 6336740 6970414 7920925 8245438 8980180 11225225 13940828 15841850 16490876 17426035 20613595 22450450 31683700 34852070 41227190 44900900 45349909 69704140 82454380 87130175 90699818 103067975 128049203 174260350 181399636 206135950 226749545 256098406 348520700 412271900 453499090 512196812 640246015 906998180 1133747725 1280492030 1408541233 2267495450 2560984060 2817082466 3201230075 4534990900 5634164932 6402460150 7042706165 12804920300 12932969503 14085412330 25865939006 28170824660 35213530825 51731878012 64664847515 70427061650 129329695030 140854123300 142262664533 258659390060 284525329066 323324237575 569050658132 646648475150 711313322665 1293296950300 1422626645330 2845253290660 3556566613325 7113133226650 14226266453300