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330013223442 = 232718367142601
BaseRepresentation
bin1001100110101100101…
…00100010101000010010
31011112211012002202021100
410303112110202220102
520401331341122232
6411334520405230
732562015054450
oct4632624425022
91145735082240
10330013223442
11117a599522a1
1253b60916816
1325173b73816
1411d8922d9d0
1588b754ac7c
hex4cd6522a12

330013223442 has 48 divisors (see below), whose sum is σ = 817225823232. Its totient is φ = 94283697600.

The previous prime is 330013223389. The next prime is 330013223471. The reversal of 330013223442 is 244322310033.

330013223442 is a `hidden beast` number, since 3 + 300 + 1 + 322 + 34 + 4 + 2 = 666.

It is a super-4 number, since 4×3300132234424 (a number of 47 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2242942 + ... + 2385542.

It is an arithmetic number, because the mean of its divisors is an integer number (17025537984).

Almost surely, 2330013223442 is an apocalyptic number.

330013223442 is an abundant number, since it is smaller than the sum of its proper divisors (487212599790).

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

330013223442 is a wasteful number, since it uses less digits than its factorization.

330013223442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160983 (or 160980 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 330013223442 its reverse (244322310033), we get a palindrome (574335533475).

The spelling of 330013223442 in words is "three hundred thirty billion, thirteen million, two hundred twenty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 18367 36734 55101 110202 128569 142601 165303 257138 285202 330606 385707 427803 771414 855606 998207 1157121 1283409 1996414 2314242 2566818 2994621 5989242 8983863 17967726 2619152567 5238305134 7857457701 15714915402 18334067969 23572373103 36668135938 47144746206 55002203907 110004407814 165006611721 330013223442