Search a number
-
+
12244142240 = 2551146714897
BaseRepresentation
bin10110110011100111…
…01100100010100000
31011121022111212112122
423121303230202200
5200034000022430
65342550243412
7612264330461
oct133163544240
934538455478
1012244142240
115213554320
122458656568
131201905ba5
14842210d68
154b9de8ee5
hex2d9cec8a0

12244142240 has 96 divisors (see below), whose sum is σ = 31626189504. Its totient is φ = 4442583040.

The previous prime is 12244142213. The next prime is 12244142243. The reversal of 12244142240 is 4224144221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12244142243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814472 + ... + 829368.

It is an arithmetic number, because the mean of its divisors is an integer number (329439474).

Almost surely, 212244142240 is an apocalyptic number.

12244142240 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 12244142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15813094752).

12244142240 is an abundant number, since it is smaller than the sum of its proper divisors (19382047264).

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

12244142240 is a wasteful number, since it uses less digits than its factorization.

12244142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15390 (or 15382 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 12244142240 its reverse (4224144221), we get a palindrome (16468286461).

The spelling of 12244142240 in words is "twelve billion, two hundred forty-four million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 467 880 934 1760 1868 2335 3736 4670 5137 7472 9340 10274 14897 14944 18680 20548 25685 29794 37360 41096 51370 59588 74485 74720 82192 102740 119176 148970 163867 164384 205480 238352 297940 327734 410960 476704 595880 655468 819335 821920 1191760 1310936 1638670 2383520 2621872 3277340 5243744 6554680 6956899 13109360 13913798 26218720 27827596 34784495 55655192 69568990 76525889 111310384 139137980 153051778 222620768 278275960 306103556 382629445 556551920 612207112 765258890 1113103840 1224414224 1530517780 2448828448 3061035560 6122071120 12244142240