Search a number
-
+
126535244346342 = 23313414396332581
BaseRepresentation
bin11100110001010101001000…
…010010100111001111100110
3121121000122120201222121012000
4130301111020102213033212
5113041123140023040332
61125041253323510130
735436604212445236
oct3461251022471746
9547018521877160
10126535244346342
1137355328737117
1212237465388346
13557b2b7641430
1423364a4bd5cc6
15e9671346ab7c
hex7315484a73e6

126535244346342 has 64 divisors (see below), whose sum is σ = 310205226985920. Its totient is φ = 37984313491200.

The previous prime is 126535244346331. The next prime is 126535244346389. The reversal of 126535244346342 is 243643442535621.

It is a happy number.

126535244346342 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 3 + 524 + 43 + 46 + 34 + 2 = 666.

It is a super-2 number, since 2×1265352443463422 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2198137509 + ... + 2198195072.

It is an arithmetic number, because the mean of its divisors is an integer number (4846956671655).

Almost surely, 2126535244346342 is an apocalyptic number.

126535244346342 is an abundant number, since it is smaller than the sum of its proper divisors (183669982639578).

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

126535244346342 is a wasteful number, since it uses less digits than its factorization.

126535244346342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396332646 (or 4396332640 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 54.

The spelling of 126535244346342 in words is "one hundred twenty-six trillion, five hundred thirty-five billion, two hundred forty-four million, three hundred forty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 82 117 123 234 246 351 369 533 702 738 1066 1107 1599 2214 3198 4797 9594 14391 28782 4396332581 8792665162 13188997743 26377995486 39566993229 57152323553 79133986458 114304647106 118700979687 171456970659 180249635821 237401959374 342913941318 360499271642 514370911977 540748907463 1028741823954 1081497814926 1543112735931 1622246722389 2343245265673 3086225471862 3244493444778 4686490531346 4866740167167 7029735797019 9733480334334 14059471594038 21089207391057 42178414782114 63267622173171 126535244346342