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2331426241332 = 22323710117329901
BaseRepresentation
bin100001111011010011110…
…101010011101100110100
322020212211002210100101100
4201323103311103230310
5301144230104210312
64543013055330100
7330303626034306
oct41732365235464
98225732710340
102331426241332
11819830373361
12317a19b20930
1313bb11093a46
1480bad61d976
15409a45e05dc
hex21ed3d53b34

2331426241332 has 72 divisors (see below), whose sum is σ = 6112533713832. Its totient is φ = 748651680000.

The previous prime is 2331426241307. The next prime is 2331426241349.

2331426241332 is a `hidden beast` number, since 2 + 3 + 3 + 14 + 2 + 624 + 13 + 3 + 2 = 666.

2331426241332 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1182186496656 + 1149239744676 = 1087284^2 + 1072026^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8530419 + ... + 8799482.

It is an arithmetic number, because the mean of its divisors is an integer number (84896301581).

Almost surely, 22331426241332 is an apocalyptic number.

It is an amenable number.

2331426241332 is an abundant number, since it is smaller than the sum of its proper divisors (3781107472500).

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

2331426241332 is a wasteful number, since it uses less digits than its factorization.

2331426241332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17330049 (or 17330044 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 2331426241332 in words is "two trillion, three hundred thirty-one billion, four hundred twenty-six million, two hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 101 111 148 202 222 303 333 404 444 606 666 909 1212 1332 1818 3636 3737 7474 11211 14948 22422 33633 44844 67266 134532 17329901 34659802 51989703 69319604 103979406 155969109 207958812 311938218 623876436 641206337 1282412674 1750320001 1923619011 2564825348 3500640002 3847238022 5250960003 5770857033 7001280004 7694476044 10501920006 11541714066 15752880009 21003840012 23083428132 31505760018 63011520036 64761840037 129523680074 194285520111 259047360148 388571040222 582856560333 777142080444 1165713120666 2331426241332