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134210210424 = 233476110718229
BaseRepresentation
bin111110011111110001…
…1010100101001111000
3110211102100012002120020
41330333203110221320
54144330303213144
6141353314330440
712460565652213
oct1747743245170
9424370162506
10134210210424
1151a1118a584
1222016889a20
13c86b216ac4
1466d26dc77a
1537577ad419
hex1f3f8d4a78

134210210424 has 128 divisors (see below), whose sum is σ = 351556070400. Its totient is φ = 42662269440.

The previous prime is 134210210359. The next prime is 134210210429. The reversal of 134210210424 is 424012012431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 134210210394 and 134210210403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134210210429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7353342 + ... + 7371570.

It is an arithmetic number, because the mean of its divisors is an integer number (2746531800).

Almost surely, 2134210210424 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 134210210424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175778035200).

134210210424 is an abundant number, since it is smaller than the sum of its proper divisors (217345859976).

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

134210210424 is a wasteful number, since it uses less digits than its factorization.

134210210424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18453 (or 18449 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 134210210424 its reverse (424012012431), we get a palindrome (558222222855).

The spelling of 134210210424 in words is "one hundred thirty-four billion, two hundred ten million, two hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 47 61 94 107 122 141 183 188 214 244 282 321 366 376 428 488 564 642 732 856 1128 1284 1464 2568 2867 5029 5734 6527 8601 10058 11468 13054 15087 17202 18229 19581 20116 22936 26108 30174 34404 36458 39162 40232 52216 54687 60348 68808 72916 78324 109374 120696 145832 156648 218748 306769 437496 613538 856763 920307 1111969 1227076 1713526 1840614 1950503 2223938 2454152 2570289 3335907 3427052 3681228 3901006 4447876 5140578 5851509 6671814 6854104 7362456 7802012 8895752 10281156 11703018 13343628 15604024 20562312 23406036 26687256 46812072 52262543 91673641 104525086 118980683 156787629 183347282 209050172 237961366 275020923 313575258 356942049 366694564 418100344 475922732 550041846 627150516 713884098 733389128 951845464 1100083692 1254301032 1427768196 2200167384 2855536392 5592092101 11184184202 16776276303 22368368404 33552552606 44736736808 67105105212 134210210424