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214041224320414 = 21747177431754903
BaseRepresentation
bin110000101010101101011011…
…001001001001010110011110
31001001212010210221101110200221
4300222231123021021112132
5211023322411411223124
62035121103032511554
763040653033636301
oct6052553311112636
91031763727343627
10214041224320414
11622224120a4027
122000a758b4b5ba
139258001b2361a
143abd9170c0b38
1519b2a841b5ce4
hexc2ab5b24959e

214041224320414 has 32 divisors (see below), whose sum is σ = 347183175960576. Its totient is φ = 98581504728960.

The previous prime is 214041224320381. The next prime is 214041224320421. The reversal of 214041224320414 is 414023422140412.

214041224320414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2140412243204142 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 214041224320414.

It is a congruent number.

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, 283157287 + ... + 283912189.

It is an arithmetic number, because the mean of its divisors is an integer number (10849474248768).

Almost surely, 2214041224320414 is an apocalyptic number.

214041224320414 is a deficient number, since it is larger than the sum of its proper divisors (133141951640162).

214041224320414 is a wasteful number, since it uses less digits than its factorization.

214041224320414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932400.

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 214041224320414 its reverse (414023422140412), we get a palindrome (628064646460826).

The spelling of 214041224320414 in words is "two hundred fourteen trillion, forty-one billion, two hundred twenty-four million, three hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 17 34 47 94 799 1598 177431 354862 754903 1509806 3016327 6032654 8339257 12833351 16678514 25666702 35480441 70960882 141767369 283534738 603167497 1206334994 133943194193 267886388386 2277034301281 4554068602562 6295330127071 12590660254142 107020612160207 214041224320414