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415118010330 = 232517271318961
BaseRepresentation
bin1100000101001101111…
…01100010011111011010
31110200111021202212102100
412002212331202133122
523300130202312310
6514411431344230
741664003603612
oct6024675423732
91420437685370
10415118010330
11150061327311
1268552222076
13301b776579a
141613dd45a42
15abe8c6dec0
hex60a6f627da

415118010330 has 48 divisors (see below), whose sum is σ = 1142795467944. Its totient is φ = 104186480640.

The previous prime is 415118010301. The next prime is 415118010337. The reversal of 415118010330 is 33010811514.

415118010330 is a `hidden beast` number, since 4 + 151 + 180 + 1 + 0 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 395981991441 + 19136018889 = 629271^2 + 138333^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 415118010294 and 415118010303.

It is not an unprimeable number, because it can be changed into a prime (415118010337) 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, 135657951 + ... + 135661010.

Almost surely, 2415118010330 is an apocalyptic number.

415118010330 is an abundant number, since it is smaller than the sum of its proper divisors (727677457614).

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

415118010330 is a wasteful number, since it uses less digits than its factorization.

415118010330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271318991 (or 271318988 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 415118010330 its reverse (33010811514), we get a palindrome (448128821844).

The spelling of 415118010330 in words is "four hundred fifteen billion, one hundred eighteen million, ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 271318961 542637922 813956883 1356594805 1627913766 2441870649 2713189610 4069784415 4612422337 4883741298 8139568830 9224844674 12209353245 13837267011 23062111685 24418706490 27674534022 41511801033 46124223370 69186335055 83023602066 138372670110 207559005165 415118010330