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331002340414340 = 225767212771658509
BaseRepresentation
bin100101101000010110111110…
…0111010111001001110000100
31121101222111220012222010201212
41023100231330322321032010
5321341120243121224330
63131552213113110552
7126502062364131620
oct11320557472711604
91541874805863655
10331002340414340
1196516338a503a1
123115a57a0b8458
131129050496504a
145ba4854db8180
1528401e55a5295
hex12d0b7ceb9384

331002340414340 has 96 divisors (see below), whose sum is σ = 806300797021440. Its totient is φ = 111787366546944.

The previous prime is 331002340414313. The next prime is 331002340414391. The reversal of 331002340414340 is 43414043200133.

It is a junction number, because it is equal to n+sod(n) for n = 331002340414297 and 331002340414306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198749006 + ... + 200407514.

It is an arithmetic number, because the mean of its divisors is an integer number (8398966635640).

Almost surely, 2331002340414340 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 331002340414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403150398510720).

331002340414340 is an abundant number, since it is smaller than the sum of its proper divisors (475298456607100).

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

331002340414340 is a wasteful number, since it uses less digits than its factorization.

331002340414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679869 (or 1679867 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 331002340414340 its reverse (43414043200133), we get a palindrome (374416383614473).

The spelling of 331002340414340 in words is "three hundred thirty-one trillion, two billion, three hundred forty million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1340 1876 2345 4690 9380 21277 42554 85108 106385 148939 212770 297878 425540 595756 744695 1425559 1489390 1658509 2851118 2978780 3317018 5702236 6634036 7127795 8292545 9978913 11609563 14255590 16585090 19957826 23219126 28511180 33170180 39915652 46438252 49894565 58047815 99789130 111120103 116095630 199578260 222240206 232191260 444480412 555600515 777840721 1111201030 1555681442 2222402060 3111362884 3889203605 7778407210 15556814420 35288095993 70576191986 141152383972 176440479965 247016671951 352880959930 494033343902 705761919860 988066687804 1235083359755 2364302431531 2470166719510 4728604863062 4940333439020 9457209726124 11821512157655 16550117020717 23643024315310 33100234041434 47286048630620 66200468082868 82750585103585 165501170207170 331002340414340