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334334113044320 = 25514970120005823
BaseRepresentation
bin100110000000100110011101…
…0000010110101011101100000
31121211210000210011222021111102
41030001030322002311131200
5322310212230414404240
63143022545435333532
7130264561665201554
oct11401147202653540
91554700704867442
10334334113044320
1197590334817554
12315b8235bb12a8
13114727579b4acc
145c7bc00a4b864
15289bbe6a30815
hex130133a0b5760

334334113044320 has 96 divisors (see below), whose sum is σ = 796299815001600. Its totient is φ = 132646602188800.

The previous prime is 334334113044317. The next prime is 334334113044331. The reversal of 334334113044320 is 23440311433433.

It is a super-2 number, since 2×3343341130443202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6708929 + ... + 26714751.

It is an arithmetic number, because the mean of its divisors is an integer number (8294789739600).

Almost surely, 2334334113044320 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 334334113044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398149907500800).

334334113044320 is an abundant number, since it is smaller than the sum of its proper divisors (461965701957280).

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

334334113044320 is a wasteful number, since it uses less digits than its factorization.

334334113044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20006688 (or 20006680 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 38.

Adding to 334334113044320 its reverse (23440311433433), we get a palindrome (357774424477753).

The spelling of 334334113044320 in words is "three hundred thirty-four trillion, three hundred thirty-four billion, one hundred thirteen million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 149 160 298 596 701 745 1192 1402 1490 2384 2804 2980 3505 4768 5608 5960 7010 11216 11920 14020 22432 23840 28040 56080 104449 112160 208898 417796 522245 835592 1044490 1671184 2088980 3342368 4177960 8355920 16711840 20005823 40011646 80023292 100029115 160046584 200058230 320093168 400116460 640186336 800232920 1600465840 2980867627 3200931680 5961735254 11923470508 14024081923 14904338135 23846941016 28048163846 29808676270 47693882032 56096327692 59617352540 70120409615 95387764064 112192655384 119234705080 140240819230 224385310768 238469410160 280481638460 448770621536 476938820320 560963276920 1121926553840 2089588206527 2243853107680 4179176413054 8358352826108 10447941032635 16716705652216 20895882065270 33433411304432 41791764130540 66866822608864 83583528261080 167167056522160 334334113044320