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330240131201420 = 2251121116074426993
BaseRepresentation
bin100101100010110100000010…
…1101101011111100110001100
31121022021122111112212021211222
41023011220011231133212030
5321241123242041421140
63130210115532302512
7126363030210540446
oct11305500555374614
91538248445767758
10330240131201420
11962520647a2340
12310568bb911a38
131123668416205b
145b799c9a65496
15282a484d5d5b5
hex12c5a05b5f98c

330240131201420 has 96 divisors (see below), whose sum is σ = 760608851498496. Its totient is φ = 119443785753600.

The previous prime is 330240131201419. The next prime is 330240131201443. The reversal of 330240131201420 is 24102131042033.

It is a super-2 number, since 2×3302401312014202 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 330240131201420.

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, 72383444 + ... + 76810436.

It is an arithmetic number, because the mean of its divisors is an integer number (7923008869776).

Almost surely, 2330240131201420 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 330240131201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380304425749248).

330240131201420 is an abundant number, since it is smaller than the sum of its proper divisors (430368720297076).

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

330240131201420 is a wasteful number, since it uses less digits than its factorization.

330240131201420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4428831 (or 4428829 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 330240131201420 its reverse (24102131042033), we get a palindrome (354342262243453).

The spelling of 330240131201420 in words is "three hundred thirty trillion, two hundred forty billion, one hundred thirty-one million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 1055 1607 2110 2321 3214 4220 4642 6428 8035 9284 11605 16070 17677 23210 32140 35354 46420 70708 88385 176770 339077 353540 678154 1356308 1695385 3390770 3729847 4426993 6781540 7459694 8853986 14919388 17707972 18649235 22134965 37298470 44269930 48696923 74596940 88539860 97393846 194787692 243484615 486969230 934095523 973938460 1868191046 3736382092 4670477615 7114177751 9340955230 10275050753 14228355502 18681910460 20550101506 28456711004 35570888755 41100203012 51375253765 71141777510 78255955261 102750507530 142283555020 156511910522 205501015060 313023821044 391279776305 782559552610 1501091505461 1565119105220 3002183010922 6004366021844 7505457527305 15010915054610 16512006560071 30021830109220 33024013120142 66048026240284 82560032800355 165120065600710 330240131201420