Search a number
-
+
12244410243504 = 2432532148174687
BaseRepresentation
bin1011001000101101111110…
…1110010001100110110000
31121100112222000001220112100
42302023133232101212300
53101103023010243004
642013000541500400
72402425620551055
oct262133756214660
947315860056470
1012244410243504
1139a090940a28a
121459070271700
136aa84869c94a
143048bdc9102c
1516378a13a739
hexb22dfb919b0

12244410243504 has 120 divisors (see below), whose sum is σ = 34915989019392. Its totient is φ = 4004221178880.

The previous prime is 12244410243493. The next prime is 12244410243623. The reversal of 12244410243504 is 40534201444221.

12244410243504 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 4 + 4 + 102 + 43 + 504 = 666.

It is a super-2 number, since 2×122444102435042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163905649 + ... + 163980335.

Almost surely, 212244410243504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12244410243504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17457994509696).

12244410243504 is an abundant number, since it is smaller than the sum of its proper divisors (22671578775888).

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

12244410243504 is a wasteful number, since it uses less digits than its factorization.

12244410243504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96235 (or 96226 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 12244410243504 its reverse (40534201444221), we get a palindrome (52778611687725).

The spelling of 12244410243504 in words is "twelve trillion, two hundred forty-four billion, four hundred ten million, two hundred forty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 21481 42962 64443 74687 85924 128886 149374 171848 193329 224061 257772 298748 343696 386658 448122 515544 597496 672183 773316 896244 1031088 1138493 1194992 1344366 1546632 1792488 2276986 2688732 3093264 3415479 3584976 3958411 4553972 5377464 6830958 7916822 9107944 10246437 10754928 11875233 13661916 15833644 18215888 20492874 23750466 27323832 31667288 35625699 40985748 47500932 54647664 63334576 71251398 81971496 95001864 142502796 163942992 190003728 285005592 570011184 1604351447 3208702894 4813054341 6417405788 9626108682 12834811576 14439163023 19252217364 25669623152 28878326046 38504434728 57756652092 77008869456 85030626691 115513304184 170061253382 231026608368 255091880073 340122506764 510183760146 680245013528 765275640219 1020367520292 1360490027056 1530551280438 2040735040584 3061102560876 4081470081168 6122205121752 12244410243504