Search a number
-
+
3000133330308 = 223283337036953
BaseRepresentation
bin101011101010000101111…
…000011010010110000100
3101121210212110011011020200
4223222011320122112010
5343123233113032213
610214124153130500
7426516046355142
oct53520570322604
911553773134220
103000133330308
11a57393062814
124055426b9a30
13189bb034348a
14a52c88c2592
15530912ce273
hex2ba85e1a584

3000133330308 has 18 divisors (see below), whose sum is σ = 7583670362814. Its totient is φ = 1000044443424.

The previous prime is 3000133330289. The next prime is 3000133330309. The reversal of 3000133330308 is 8030333310003.

It can be written as a sum of positive squares in only one way, i.e., 2590837913664 + 409295416644 = 1609608^2 + 639762^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×30001333303083 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3000133330309) 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 5 ways as a sum of consecutive naturals, for example, 41668518441 + ... + 41668518512.

Almost surely, 23000133330308 is an apocalyptic number.

It is an amenable number.

3000133330308 is an abundant number, since it is smaller than the sum of its proper divisors (4583537032506).

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

3000133330308 is a wasteful number, since it uses less digits than its factorization.

3000133330308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83337036963 (or 83337036958 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The spelling of 3000133330308 in words is "three trillion, one hundred thirty-three million, three hundred thirty thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 83337036953 166674073906 250011110859 333348147812 500022221718 750033332577 1000044443436 1500066665154 3000133330308