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330034304341420 = 225727718014725389
BaseRepresentation
bin100101100001010100001100…
…1011110010101010110101100
31121021112222020010022110002221
41023002220121132111112230
5321224240223402411140
63125531355532325124
7126342122504232430
oct11302503136252654
91537488203273087
10330034304341420
1196182842907a68
1231022a389137a4
13112201418b8733
145b6da61b649c0
152824e3a0a214a
hex12c2a197955ac

330034304341420 has 96 divisors (see below), whose sum is σ = 795383390874240. Its totient is φ = 112683492403200.

The previous prime is 330034304341393. The next prime is 330034304341439. The reversal of 330034304341420 is 24143403430033.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67480086 + ... + 72205474.

It is an arithmetic number, because the mean of its divisors is an integer number (8285243654940).

Almost surely, 2330034304341420 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 330034304341420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397691695437120).

330034304341420 is an abundant number, since it is smaller than the sum of its proper divisors (465349086532820).

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

330034304341420 is a wasteful number, since it uses less digits than its factorization.

330034304341420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727483 (or 4727481 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 330034304341420 its reverse (24143403430033), we get a palindrome (354177707771453).

The spelling of 330034304341420 in words is "three hundred thirty trillion, thirty-four billion, three hundred four million, three hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 277 554 1108 1385 1801 1939 2770 3602 3878 5540 7204 7756 9005 9695 12607 18010 19390 25214 36020 38780 50428 63035 126070 252140 498877 997754 1995508 2494385 3492139 4725389 4988770 6984278 9450778 9977540 13968556 17460695 18901556 23626945 33077723 34921390 47253890 66155446 69842780 94507780 132310892 165388615 330777230 661554460 1308932753 2617865506 5235731012 6544663765 8510425589 9162529271 13089327530 17020851178 18325058542 26178655060 34041702356 36650117084 42552127945 45812646355 59572979123 85104255890 91625292710 119145958246 170208511780 183250585420 238291916492 297864895615 595729791230 1191459582460 2357387888153 4714775776306 9429551552612 11786939440765 16501715217071 23573878881530 33003430434142 47147757763060 66006860868284 82508576085355 165017152170710 330034304341420