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334115214030 = 232513319211889
BaseRepresentation
bin1001101110010101101…
…00011001001011001110
31011221102001201110111200
410313022310121023032
520433231443322110
6413253532330330
733065454313623
oct4671264311316
91157361643450
10334115214030
11119774367564
12549066139a6
1325678954aa0
1412257d3234a
158a5771a6c0
hex4dcad192ce

334115214030 has 96 divisors (see below), whose sum is σ = 965700852480. Its totient is φ = 79590712320.

The previous prime is 334115214019. The next prime is 334115214047. The reversal of 334115214030 is 30412511433.

It is a happy number.

334115214030 is a `hidden beast` number, since 3 + 3 + 411 + 5 + 214 + 0 + 30 = 666.

334115214030 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3341152140302 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334115213985 and 334115214003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4569675 + ... + 4642214.

It is an arithmetic number, because the mean of its divisors is an integer number (10059383880).

Almost surely, 2334115214030 is an apocalyptic number.

334115214030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

334115214030 is an abundant number, since it is smaller than the sum of its proper divisors (631585638450).

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

334115214030 is a wasteful number, since it uses less digits than its factorization.

334115214030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9211946 (or 9211943 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 334115214030 its reverse (30412511433), we get a palindrome (364527725463).

The spelling of 334115214030 in words is "three hundred thirty-four billion, one hundred fifteen million, two hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 930 1170 1209 1395 2015 2418 2790 3627 4030 6045 7254 12090 18135 36270 9211889 18423778 27635667 46059445 55271334 82907001 92118890 119754557 138178335 165814002 239509114 276356670 285568559 359263671 414535005 571137118 598772785 718527342 829070010 856705677 1077791013 1197545570 1427842795 1713411354 1796318355 2155582026 2570117031 2855685590 3592636710 3712391267 4283528385 5140234062 5388955065 7424782534 8567056770 10777910130 11137173801 12850585155 18561956335 22274347602 25701170310 33411521403 37123912670 55685869005 66823042806 111371738010 167057607015 334115214030