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214330030404 = 223719397338267
BaseRepresentation
bin1100011110011100010…
…0001011100101000100
3202111020000202122200020
43013213010023211010
512002421441433104
6242243432215140
721325204125210
oct3074704134504
9674200678606
10214330030404
1182995795136
123565683a4b0
13172991118c9
14a533347940
1558965492d9
hex31e710b944

214330030404 has 96 divisors (see below), whose sum is σ = 603145374720. Its totient is φ = 57867841152.

The previous prime is 214330030403. The next prime is 214330030427. The reversal of 214330030404 is 404030033412.

It is not an unprimeable number, because it can be changed into a prime (214330030403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464479 + ... + 802745.

It is an arithmetic number, because the mean of its divisors is an integer number (6282764320).

Almost surely, 2214330030404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214330030404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301572687360).

214330030404 is an abundant number, since it is smaller than the sum of its proper divisors (388815344316).

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

214330030404 is a wasteful number, since it uses less digits than its factorization.

214330030404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338697 (or 338695 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 214330030404 its reverse (404030033412), we get a palindrome (618360063816).

The spelling of 214330030404 in words is "two hundred fourteen billion, three hundred thirty million, thirty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 397 399 532 794 798 1191 1588 1596 2382 2779 4764 5558 7543 8337 11116 15086 16674 22629 30172 33348 45258 52801 90516 105602 158403 211204 316806 338267 633612 676534 1014801 1353068 2029602 2367869 4059204 4735738 6427073 7103607 9471476 12854146 14207214 19281219 25708292 28414428 38562438 44989511 77124876 89979022 134291999 134968533 179958044 268583998 269937066 402875997 537167996 539874132 805751994 940043993 1611503988 1880087986 2551547981 2820131979 3760175972 5103095962 5640263958 7654643943 10206191924 11280527916 15309287886 17860835867 30618575772 35721671734 53582507601 71443343468 107165015202 214330030404