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330024141000 = 23325336669349
BaseRepresentation
bin1001100110101101111…
…10001100000011001000
31011112211221122102100100
410303112332030003020
520401342140003000
6411335550405400
732562206625201
oct4632676140310
91145757572310
10330024141000
11117a65029874
1253b64500860
13251761c6c08
1411d8a8725a8
1588b84a5a00
hex4cd6f8c0c8

330024141000 has 96 divisors (see below), whose sum is σ = 1115481627000. Its totient is φ = 88006435200.

The previous prime is 330024140981. The next prime is 330024141001. The reversal of 330024141000 is 141420033.

It can be written as a sum of positive squares in 4 ways, for example, as 21646059876 + 308378081124 = 147126^2 + 555318^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (330024141001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18325675 + ... + 18343674.

Almost surely, 2330024141000 is an apocalyptic number.

330024141000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330024141000 is an abundant number, since it is smaller than the sum of its proper divisors (785457486000).

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

330024141000 is a wasteful number, since it uses less digits than its factorization.

330024141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36669376 (or 36669359 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 330024141000 its reverse (141420033), we get a palindrome (330165561033).

The spelling of 330024141000 in words is "three hundred thirty billion, twenty-four million, one hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 36669349 73338698 110008047 146677396 183346745 220016094 293354792 330024141 366693490 440032188 550040235 660048282 733386980 880064376 916733725 1100080470 1320096564 1466773960 1650120705 1833467450 2200160940 2640193128 2750201175 3300241410 3666934900 4400321880 4583668625 5500402350 6600482820 7333869800 8250603525 9167337250 11000804700 13200965640 13751005875 16501207050 18334674500 22001609400 27502011750 33002414100 36669349000 41253017625 55004023500 66004828200 82506035250 110008047000 165012070500 330024141000