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214303234446 = 232767145317471
BaseRepresentation
bin1100011110010101110…
…1111101100110001110
3202111011011100021112100
43013211131331212032
512002343112000241
6242241034015530
721324430302660
oct3074535754616
9674134307470
10214303234446
1182981652a14
12356498775a6
13172936bc102
14a52d970530
1558940049b6
hex31e577d98e

214303234446 has 96 divisors (see below), whose sum is σ = 538977374208. Its totient is φ = 60270661440.

The previous prime is 214303234441. The next prime is 214303234447. The reversal of 214303234446 is 644432303412.

214303234446 is a `hidden beast` number, since 2 + 1 + 4 + 303 + 2 + 344 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 214303234446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214303234441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12257491 + ... + 12274961.

It is an arithmetic number, because the mean of its divisors is an integer number (5614347648).

Almost surely, 2214303234446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214303234446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269488687104).

214303234446 is an abundant number, since it is smaller than the sum of its proper divisors (324674139762).

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

214303234446 is a wasteful number, since it uses less digits than its factorization.

214303234446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19006 (or 19003 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 214303234446 its reverse (644432303412), we get a palindrome (858735537858).

The spelling of 214303234446 in words is "two hundred fourteen billion, three hundred three million, two hundred thirty-four thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1407 1453 2814 2906 4221 4359 8442 8718 10171 13077 17471 20342 26154 30513 34942 52413 61026 91539 97351 104826 122297 157239 183078 194702 244594 292053 314478 366891 584106 681457 733782 876159 1100673 1170557 1362914 1752318 2044371 2201346 2341114 3511671 4088742 6133113 7023342 8193899 10535013 12266226 16387798 21070026 24581697 25385363 49163394 50770726 73745091 76156089 147490182 152312178 177697541 228468267 355395082 456936534 533092623 1066185246 1599277869 1700819321 3198555738 3401638642 5102457963 10204915926 11905735247 15307373889 23811470494 30614747778 35717205741 71434411482 107151617223 214303234446