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12440444240 = 2457237391307
BaseRepresentation
bin10111001011000001…
…00001110101010000
31012002222220001021002
423211200201311100
5200434223203430
65414241521132
7620200013510
oct134540416520
935088801232
1012440444240
115304340984
1224b23431a8
131233496c13
1486030d840
154cc272845
hex2e5821d50

12440444240 has 160 divisors (see below), whose sum is σ = 34566359040. Its totient is φ = 4071209472.

The previous prime is 12440444221. The next prime is 12440444257. The reversal of 12440444240 is 4244404421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9517667 + ... + 9518973.

It is an arithmetic number, because the mean of its divisors is an integer number (216039744).

Almost surely, 212440444240 is an apocalyptic number.

12440444240 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 12440444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17283179520).

12440444240 is an abundant number, since it is smaller than the sum of its proper divisors (22125914800).

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

12440444240 is a wasteful number, since it uses less digits than its factorization.

12440444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 12440444240 its reverse (4244404421), we get a palindrome (16684848661).

The spelling of 12440444240 in words is "twelve billion, four hundred forty million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 739 805 920 1288 1307 1478 1610 1840 2576 2614 2956 3220 3695 5173 5228 5912 6440 6535 7390 9149 10346 10456 11824 12880 13070 14780 16997 18298 20692 20912 25865 26140 29560 30061 33994 36596 41384 45745 51730 52280 59120 60122 67988 73192 82768 84985 91490 103460 104560 118979 120244 135976 146384 150305 169970 182980 206920 210427 237958 240488 271952 300610 339940 365960 413840 420854 475916 480976 594895 601220 679880 731920 841708 951832 965873 1052135 1189790 1202440 1359760 1683416 1903664 1931746 2104270 2379580 2404880 3366832 3863492 4208540 4759160 4829365 6761111 7726984 8417080 9518320 9658730 13522222 15453968 16834160 19317460 22215079 27044444 33805555 38634920 44430158 54088888 67611110 77269840 88860316 108177776 111075395 135222220 155505553 177720632 222150790 270444440 311011106 355441264 444301580 540888880 622022212 777527765 888603160 1244044424 1555055530 1777206320 2488088848 3110111060 6220222120 12440444240