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214202220104314 = 21389409461490949
BaseRepresentation
bin110000101101000011010111…
…001111010100101001111010
31001002102112101000100200102001
4300231003113033110221322
5211033442121321314224
62035323050315131214
763055412461343461
oct6055032717245172
91032375330320361
10214202220104314
1162284719010392
12200359aa143b0a
13926a24b482390
143ac762ad659d8
1519b6d582a0544
hexc2d0d73d4a7a

214202220104314 has 64 divisors (see below), whose sum is σ = 351523931220000. Its totient is φ = 97301023395840.

The previous prime is 214202220104303. The next prime is 214202220104347. The reversal of 214202220104314 is 413401022202412.

It can be written as a sum of positive squares in 16 ways, for example, as 605310452289 + 213596909652025 = 778017^2 + 14614955^2 .

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, 436056912 + ... + 436547860.

Almost surely, 2214202220104314 is an apocalyptic number.

214202220104314 is a deficient number, since it is larger than the sum of its proper divisors (137321711115686).

214202220104314 is a wasteful number, since it uses less digits than its factorization.

214202220104314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491923.

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 214202220104314 its reverse (413401022202412), we get a palindrome (627603242306726).

The spelling of 214202220104314 in words is "two hundred fourteen trillion, two hundred two billion, two hundred twenty million, one hundred four thousand, three hundred fourteen".

Divisors: 1 2 13 26 89 178 409 461 818 922 1157 2314 5317 5993 10634 11986 36401 41029 72802 82058 188549 377098 473213 490949 533377 946426 981898 1066754 2451137 4902274 6382337 12764674 16780861 33561722 43694461 87388922 200798141 218151193 226327489 401596282 436302386 452654978 568027993 1136055986 2610375833 2942257357 5220751666 5884514714 17871034549 20143146521 35742069098 40286293042 92567943001 185135886002 232323449137 261860904773 464646898274 523721809546 1203383259013 2406766518026 8238546927089 16477093854178 107101110052157 214202220104314