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12440725444 = 22723122572
BaseRepresentation
bin10111001011000011…
…00110011111000100
31012010000102100000001
423211201212133010
5200434311203234
65414251531044
7620202264400
oct134541463704
935100370001
1012440725444
115304513184
1224b2459a84
131233564c04
14860384100
154cc2cad14
hex2e58667c4

12440725444 has 81 divisors (see below), whose sum is σ = 26271297549. Its totient is φ = 5139671040.

The previous prime is 12440725441. The next prime is 12440725463. The reversal of 12440725444 is 44452704421.

The square root of 12440725444 is 111538.

It is a perfect power (a square), and thus also a powerful number.

12440725444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12247848900 + 192876544 = 110670^2 + 13888^2 .

It is not an unprimeable number, because it can be changed into a prime (12440725441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48407364 + ... + 48407620.

Almost surely, 212440725444 is an apocalyptic number.

12440725444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12440725444 is the 111538-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12440725444

12440725444 is an abundant number, since it is smaller than the sum of its proper divisors (13830572105).

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

12440725444 is an equidigital number, since it uses as much as digits as its factorization.

12440725444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 37.

The spelling of 12440725444 in words is "twelve billion, four hundred forty million, seven hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 257 434 514 868 961 1028 1519 1799 1922 3038 3598 3844 6076 6727 7196 7967 12593 13454 15934 25186 26908 31868 47089 50372 55769 66049 94178 111538 132098 188356 223076 246977 264196 390383 462343 493954 780766 924686 987908 1561532 1728839 1849372 2047519 3236401 3457678 4095038 6472802 6915356 8190076 12101873 12945604 14332633 24203746 28665266 48407492 57330532 63473089 100328431 126946178 200656862 253892356 401313724 444311623 888623246 1777246492 3110181361 6220362722 12440725444