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12440244300 = 223521119198409
BaseRepresentation
bin10111001010111111…
…10001000001001100
31012002222111212222220
423211133301001030
5200434200304200
65414233335340
7620165221551
oct134537610114
935088455886
1012440244300
115304214740
1224b2267550
131233426c03
1486029aa28
154cc2334a0
hex2e57f104c

12440244300 has 144 divisors (see below), whose sum is σ = 41332771200. Its totient is φ = 2857075200.

The previous prime is 12440244283. The next prime is 12440244317. The reversal of 12440244300 is 344204421.

It is a happy number.

12440244300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12440244283) and next prime (12440244317).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 36505 + ... + 161904.

Almost surely, 212440244300 is an apocalyptic number.

12440244300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12440244300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20666385600).

12440244300 is an abundant number, since it is smaller than the sum of its proper divisors (28892526900).

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

12440244300 is a wasteful number, since it uses less digits than its factorization.

12440244300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198456 (or 198449 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12440244300 its reverse (344204421), we get a palindrome (12784448721).

The spelling of 12440244300 in words is "twelve billion, four hundred forty million, two hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 220 228 275 285 300 330 380 418 475 550 570 627 660 825 836 950 1045 1100 1140 1254 1425 1650 1900 2090 2508 2850 3135 3300 4180 5225 5700 6270 10450 12540 15675 20900 31350 62700 198409 396818 595227 793636 992045 1190454 1984090 2182499 2380908 2976135 3769771 3968180 4364998 4960225 5952270 6547497 7539542 8729996 9920450 10912495 11309313 11904540 13094994 14880675 15079084 18848855 19840900 21824990 22618626 26189988 29761350 32737485 37697710 41467481 43649980 45237252 54562475 56546565 59522700 65474970 75395420 82934962 94244275 109124950 113093130 124402443 130949940 163687425 165869924 188488550 207337405 218249900 226186260 248804886 282732825 327374850 376977100 414674810 497609772 565465650 622012215 654749700 829349620 1036687025 1130931300 1244024430 2073374050 2488048860 3110061075 4146748100 6220122150 12440244300