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12244343104 = 267376911069
BaseRepresentation
bin10110110011101000…
…11101100101000000
31011121022220002002001
423121310131211000
5200034022434404
65342554433344
7612266125210
oct133164354500
934538802061
1012244343104
115213681224
122458732854
131201976446
14842264240
154b9e387a4
hex2d9d1d940

12244343104 has 112 divisors (see below), whose sum is σ = 28586907520. Its totient is φ = 5093591040.

The previous prime is 12244343099. The next prime is 12244343119. The reversal of 12244343104 is 40134344221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11453482 + ... + 11454550.

Almost surely, 212244343104 is an apocalyptic number.

12244343104 is a gapful number since it is divisible by the number (14) 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 12244343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14293453760).

12244343104 is an abundant number, since it is smaller than the sum of its proper divisors (16342564416).

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

12244343104 is a wasteful number, since it uses less digits than its factorization.

12244343104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 12244343104 its reverse (40134344221), we get a palindrome (52378687325).

The spelling of 12244343104 in words is "twelve billion, two hundred forty-four million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 148 224 259 296 448 518 592 691 1036 1069 1184 1382 2072 2138 2368 2764 4144 4276 4837 5528 7483 8288 8552 9674 11056 14966 16576 17104 19348 22112 25567 29932 34208 38696 39553 44224 51134 59864 68416 77392 79106 102268 119728 154784 158212 178969 204536 239456 276871 309568 316424 357938 409072 478912 553742 632848 715876 738679 818144 1107484 1265696 1431752 1477358 1636288 2214968 2531392 2863504 2954716 4429936 5170753 5727008 5909432 8859872 10341506 11454016 11818864 17719744 20683012 23637728 27331123 41366024 47275456 54662246 82732048 109324492 165464096 191317861 218648984 330928192 382635722 437297968 765271444 874595936 1530542888 1749191872 3061085776 6122171552 12244343104