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414223343322414 = 234310118913840491
BaseRepresentation
bin101111000101110111110001…
…1001111001000010100101110
32000022122100212000001101210120
41132023233203033020110232
5413243113401342304124
64024551324340345410
7153151435411242453
oct13613574317102456
92008570760041716
10414223343322414
1110aa9115158607a
123a55b3136a5266
1314a1912aa38982
1474407340d582a
1532d4d769cad79
hex178bbe33c852e

414223343322414 has 64 divisors (see below), whose sum is σ = 856152369692928. Its totient is φ = 133520913792000.

The previous prime is 414223343322401. The next prime is 414223343322449.

414223343322414 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492414709 + ... + 493255199.

It is an arithmetic number, because the mean of its divisors is an integer number (13377380776452).

Almost surely, 2414223343322414 is an apocalyptic number.

414223343322414 is an abundant number, since it is smaller than the sum of its proper divisors (441929026370514).

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

414223343322414 is a wasteful number, since it uses less digits than its factorization.

414223343322414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859553.

The product of its digits is 1327104, while the sum is 42.

The spelling of 414223343322414 in words is "four hundred fourteen trillion, two hundred twenty-three billion, three hundred forty-three million, three hundred twenty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 43 86 101 129 202 258 303 606 4343 8686 13029 18913 26058 37826 56739 113478 813259 840491 1626518 1680982 1910213 2439777 2521473 3820426 4879554 5042946 5730639 11461278 36141113 72282226 82139159 84889591 108423339 164278318 169779182 216846678 246417477 254668773 492834954 509337546 3650252413 7300504826 10950757239 15896206283 21901514478 31792412566 47688618849 95377237698 683536870169 1367073740338 1605516834583 2050610610507 3211033669166 4101221221014 4816550503749 9633101007498 69037223887069 138074447774138 207111671661207 414223343322414