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2014331441100 = 22352113716497391
BaseRepresentation
bin11101010011111111100…
…000101000111111001100
321010120100012222111020220
4131103333200220333030
5231000322322103400
64141212053311340
7265350003513126
oct35237740507714
97116305874226
102014331441100
11707300648690
12286483635550
13117c4872bc34
146d6cbda2216
15375e62807a0
hex1d4ff828fcc

2014331441100 has 144 divisors (see below), whose sum is σ = 6529799732736. Its totient is φ = 475124832000.

The previous prime is 2014331441077. The next prime is 2014331441167. The reversal of 2014331441100 is 11441334102.

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, 8126596 + ... + 8370795.

Almost surely, 22014331441100 is an apocalyptic number.

2014331441100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014331441100 is an abundant number, since it is smaller than the sum of its proper divisors (4515468291636).

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

2014331441100 is a wasteful number, since it uses less digits than its factorization.

2014331441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16497456 (or 16497449 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2014331441100 its reverse (11441334102), we get a palindrome (2025772775202).

The spelling of 2014331441100 in words is "two trillion, fourteen billion, three hundred thirty-one million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 16497391 32994782 49492173 65989564 82486955 98984346 164973910 181471301 197968692 247460865 329947820 362942602 412434775 494921730 544413903 610403467 725885204 824869550 907356505 989843460 1088827806 1220806934 1237304325 1649739100 1814713010 1831210401 2177655612 2441613868 2474608650 2722069515 3052017335 3629426020 3662420802 4536782525 4949217300 5444139030 6104034670 6714438137 7324841604 9073565050 9156052005 10888278060 12208069340 13428876274 13610347575 15260086675 18147130100 18312104010 20143314411 26857752548 27220695150 30520173350 33572190685 36624208020 40286628822 45780260025 54441390300 61040346700 67144381370 80573257644 91560520050 100716572055 134288762740 167860953425 183121040100 201433144110 335721906850 402866288220 503582860275 671443813700 1007165720550 2014331441100