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134424024012 = 2235413838807
BaseRepresentation
bin111110100110001001…
…0111101001111001100
3110211222020111221200000
41331030102331033030
54200300022232022
6141430433204300
712466103231355
oct1751422751714
9424866457600
10134424024012
1152010947923
1222076400690
13c8a35c9715
146712c78d2c
15376b4456ac
hex1f4c4bd3cc

134424024012 has 144 divisors (see below), whose sum is σ = 361957220352. Its totient is φ = 43596040320.

The previous prime is 134424024011. The next prime is 134424024037. The reversal of 134424024012 is 210420424431.

134424024012 is a `hidden beast` number, since 13 + 4 + 4 + 240 + 2 + 401 + 2 = 666.

134424024012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1344240240122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (134424024011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15258913 + ... + 15267719.

It is an arithmetic number, because the mean of its divisors is an integer number (2513591808).

Almost surely, 2134424024012 is an apocalyptic number.

134424024012 is a gapful number since it is divisible by the number (12) 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 134424024012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180978610176).

134424024012 is an abundant number, since it is smaller than the sum of its proper divisors (227533196340).

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

134424024012 is a wasteful number, since it uses less digits than its factorization.

134424024012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9250 (or 9236 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 134424024012 its reverse (210420424431), we get a palindrome (344844448443).

The spelling of 134424024012 in words is "one hundred thirty-four billion, four hundred twenty-four million, twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 383 486 492 738 766 972 1107 1149 1476 1532 2214 2298 3321 3447 4428 4596 6642 6894 8807 9963 10341 13284 13788 15703 17614 19926 20682 26421 31023 31406 35228 39852 41364 47109 52842 62046 62812 79263 93069 94218 105684 124092 141327 158526 186138 188436 237789 282654 317052 361087 372276 423981 475578 565308 713367 722174 847962 951156 1083261 1271943 1426734 1444348 1695924 2140101 2166522 2543886 2853468 3249783 3373081 3815829 4280202 4333044 5087772 6499566 6746162 7631658 8560404 9749349 10119243 12999132 13492324 15263316 19498698 20238486 29248047 30357729 38997396 40476972 58496094 60715458 87744141 91073187 116992188 121430916 138296321 175488282 182146374 273219561 276592642 350976564 364292748 414888963 546439122 553185284 819658683 829777926 1092878244 1244666889 1639317366 1659555852 2489333778 3278634732 3734000667 4978667556 7468001334 11202002001 14936002668 22404004002 33606006003 44808008004 67212012006 134424024012