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330144241332 = 223711932007737
BaseRepresentation
bin1001100110111100010…
…00010101011010110100
31011120011022122011000210
410303132020111122310
520402113411210312
6411355520505420
732565165515013
oct4633610253264
91146138564023
10330144241332
111180168a9a44
1253b9877b270
13251950576b9
1411d9c7b6a7a
1588c3ccae3c
hex4cde2156b4

330144241332 has 48 divisors (see below), whose sum is σ = 785234362752. Its totient is φ = 107935887360.

The previous prime is 330144241303. The next prime is 330144241333. The reversal of 330144241332 is 233142441033.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 330144241332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330144241333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 839433 + ... + 1168304.

It is an arithmetic number, because the mean of its divisors is an integer number (16359049224).

Almost surely, 2330144241332 is an apocalyptic number.

It is an amenable number.

330144241332 is an abundant number, since it is smaller than the sum of its proper divisors (455090121420).

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

330144241332 is a wasteful number, since it uses less digits than its factorization.

330144241332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008008 (or 2008006 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 330144241332 its reverse (233142441033), we get a palindrome (563286682365).

The spelling of 330144241332 in words is "three hundred thirty billion, one hundred forty-four million, two hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 71 142 193 213 284 386 426 579 772 852 1158 2316 13703 27406 41109 54812 82218 164436 2007737 4015474 6023211 8030948 12046422 24092844 142549327 285098654 387493241 427647981 570197308 774986482 855295962 1162479723 1549972964 1710591924 2324959446 4649918892 27512020111 55024040222 82536060333 110048080444 165072120666 330144241332