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330024301401340 = 225713181332033737
BaseRepresentation
bin100101100001001111100010…
…1010000001001010011111100
31121021112000102000000102221201
41023002133011100021103330
5321224104232124320330
63125523023202505244
7126341316562524010
oct11302370520112374
91537460360012851
10330024301401340
119617957a475037
1231020b06965224
131121c20940bc90
145b6d393478540
152824a51d12eca
hex12c27c54094fc

330024301401340 has 48 divisors (see below), whose sum is σ = 852985886703552. Its totient is φ = 104447251431936.

The previous prime is 330024301401299. The next prime is 330024301401349. The reversal of 330024301401340 is 43104103420033.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 330024301401299 and 330024301401308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330024301401349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90666015049 + ... + 90666018688.

It is an arithmetic number, because the mean of its divisors is an integer number (17770539306324).

Almost surely, 2330024301401340 is an apocalyptic number.

It is an amenable number.

330024301401340 is an abundant number, since it is smaller than the sum of its proper divisors (522961585302212).

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

330024301401340 is a wasteful number, since it uses less digits than its factorization.

330024301401340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181332033766 (or 181332033764 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 330024301401340 its reverse (43104103420033), we get a palindrome (373128404821373).

The spelling of 330024301401340 in words is "three hundred thirty trillion, twenty-four billion, three hundred one million, four hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 181332033737 362664067474 725328134948 906660168685 1269324236159 1813320337370 2357316438581 2538648472318 3626640674740 4714632877162 5077296944636 6346621180795 9429265754324 11786582192905 12693242361590 16501215070067 23573164385810 25386484723180 33002430140134 47146328771620 66004860280268 82506075350335 165012150700670 330024301401340