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330034130344020 = 223541201836647189
BaseRepresentation
bin100101100001010100000111…
…1000110100101100001010100
31121021112221202222220110112210
41023002220033012211201110
5321224234344332002040
63125531330355113420
7126342115262254404
oct11302501706454124
91537487688813483
10330034130344020
1196182763675163
12310229aa5a2870
1311220114836aab
145b6da469d0804
152824e29b82480
hex12c2a0f1a5854

330034130344020 has 96 divisors (see below), whose sum is σ = 946681526165760. Its totient is φ = 85858270858240.

The previous prime is 330034130344001. The next prime is 330034130344063. The reversal of 330034130344020 is 20443031430033.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 46326586 + ... + 52973774.

It is an arithmetic number, because the mean of its divisors is an integer number (9861265897560).

Almost surely, 2330034130344020 is an apocalyptic number.

330034130344020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330034130344020 is an abundant number, since it is smaller than the sum of its proper divisors (616647395821740).

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

330034130344020 is a wasteful number, since it uses less digits than its factorization.

330034130344020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6667425 (or 6667423 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 330034130344020 its reverse (20443031430033), we get a palindrome (350477161774053).

The spelling of 330034130344020 in words is "three hundred thirty trillion, thirty-four billion, one hundred thirty million, three hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 20183 40366 60549 80732 100915 121098 201830 242196 302745 403660 605490 827503 1210980 1655006 2482509 3310012 4137515 4965018 6647189 8275030 9930036 12412545 13294378 16550060 19941567 24825090 26588756 33235945 39883134 49650180 66471890 79766268 99707835 132943780 199415670 272534749 398831340 545069498 817604247 1090138996 1362673745 1635208494 2725347490 3270416988 4088021235 5450694980 8176042470 16352084940 134160215587 268320431174 402480646761 536640862348 670801077935 804961293522 1341602155870 1609922587044 2012403233805 2683204311740 4024806467610 5500568839067 8049612935220 11001137678134 16501706517201 22002275356268 27502844195335 33003413034402 55005688390670 66006826068804 82508532586005 110011376781340 165017065172010 330034130344020