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214250010345 = 32571773354583
BaseRepresentation
bin1100011110001001001…
…0111011011011101001
3202111000110012012210100
43013202102323123221
512002241000312340
6242231453140013
721323213016450
oct3074222733351
9674013165710
10214250010345
11829545aa958
1235633a8a609
1317285675367
14a526877b97
15588e4de830
hex31e24bb6e9

214250010345 has 96 divisors (see below), whose sum is σ = 450006216192. Its totient is φ = 92054071296.

The previous prime is 214250010319. The next prime is 214250010349. The reversal of 214250010345 is 543010052412.

214250010345 is a `hidden beast` number, since 2 + 14 + 2 + 500 + 103 + 45 = 666.

It is not a de Polignac number, because 214250010345 - 27 = 214250010217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214250010349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3897924 + ... + 3952506.

It is an arithmetic number, because the mean of its divisors is an integer number (4687564752).

Almost surely, 2214250010345 is an apocalyptic number.

It is an amenable number.

214250010345 is an abundant number, since it is smaller than the sum of its proper divisors (235756205847).

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

214250010345 is a wasteful number, since it uses less digits than its factorization.

214250010345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55351 (or 55348 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 214250010345 its reverse (543010052412), we get a palindrome (757260062757).

The spelling of 214250010345 in words is "two hundred fourteen billion, two hundred fifty million, ten thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 733 765 1071 1785 2199 3665 5131 5355 6597 10995 12461 15393 25655 32985 37383 46179 54583 62305 76965 87227 112149 163749 186915 230895 261681 272915 382081 436135 491247 560745 785043 818745 927911 1146243 1308405 1910405 2456235 2783733 3438729 3925215 4639555 5731215 6495377 8351199 13918665 17193645 19486131 32476885 40009339 41755995 58458393 97430655 120028017 200046695 280065373 292291965 360084051 600140085 680158763 840196119 1400326865 1800420255 2040476289 2520588357 3400793815 4200980595 4761111341 6121428867 10202381445 12602941785 14283334023 23805556705 30607144335 42850002069 71416670115 214250010345