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210344242443012 = 2232101442113085377
BaseRepresentation
bin101111110100111010010101…
…110110011111001100000100
31000120202201020220202022101100
4233310322111312133030010
5210032240002031134022
62023210451100500100
762206604262321006
oct5764722566371404
91016681226668340
10210344242443012
1161027546217957
121b71215924a630
13904a4b9214a62
1439d2a03a86376
15194b80a83d1ac
hexbf4e95d9f304

210344242443012 has 72 divisors (see below), whose sum is σ = 537089392351512. Its totient is φ = 69404834304000.

The previous prime is 210344242442993. The next prime is 210344242443017.

210344242443012 is a `hidden beast` number, since 2 + 1 + 0 + 344 + 2 + 4 + 2 + 4 + 4 + 301 + 2 = 666.

210344242443012 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 173369256984576 + 36974985458436 = 13166976^2 + 6080706^2 .

It is a super-2 number, since 2×2103442424430122 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (210344242443017) 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, 9532068 + ... + 22617444.

It is an arithmetic number, because the mean of its divisors is an integer number (7459574893771).

Almost surely, 2210344242443012 is an apocalyptic number.

It is an amenable number.

210344242443012 is an abundant number, since it is smaller than the sum of its proper divisors (326745149908500).

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

210344242443012 is a wasteful number, since it uses less digits than its factorization.

210344242443012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13089909 (or 13089904 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 210344242443012 in words is "two hundred ten trillion, three hundred forty-four billion, two hundred forty-two million, four hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 4421 8842 13263 17684 26526 39789 53052 79578 159156 446521 893042 1339563 1786084 2679126 4018689 5358252 8037378 13085377 16074756 26170754 39256131 52341508 78512262 117768393 157024524 235536786 471073572 1321623077 2643246154 3964869231 5286492308 7929738462 11894607693 15859476924 23789215386 47578430772 57850451717 115700903434 173551355151 231401806868 347102710302 520654065453 694205420604 1041308130906 2082616261812 5842895623417 11685791246834 17528686870251 23371582493668 35057373740502 52586060610753 70114747481004 105172121221506 210344242443012