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134245044544 = 26132100912301
BaseRepresentation
bin111110100000110100…
…0001101000101000000
3110211111202201211222211
41331001220031011000
54144413212411134
6141401001111504
712461501023342
oct1750150150500
9424452654884
10134245044544
1151a29911a06
1222026488594
13c8754c2200
1466d71a9292
15375a88e764
hex1f41a0d140

134245044544 has 84 divisors (see below), whose sum is σ = 288769889820. Its totient is φ = 61892812800.

The previous prime is 134245044523. The next prime is 134245044581. The reversal of 134245044544 is 445440542431.

It can be written as a sum of positive squares in 6 ways, for example, as 38447366400 + 95797678144 = 196080^2 + 309512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 134245044497 and 134245044506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10907194 + ... + 10919494.

Almost surely, 2134245044544 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 134245044544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144384944910).

134245044544 is an abundant number, since it is smaller than the sum of its proper divisors (154524845276).

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

134245044544 is a wasteful number, since it uses less digits than its factorization.

134245044544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13348 (or 13325 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 134245044544 its reverse (445440542431), we get a palindrome (579685586975).

The spelling of 134245044544 in words is "one hundred thirty-four billion, two hundred forty-five million, forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1009 1352 2018 2704 4036 5408 8072 10816 12301 13117 16144 24602 26234 32288 49204 52468 64576 98408 104936 159913 170521 196816 209872 319826 341042 393632 419744 639652 682084 787264 839488 1279304 1364168 2078869 2558608 2728336 4157738 5117216 5456672 8315476 10234432 10913344 12411709 16630952 24823418 33261904 49646836 66523808 99293672 133047616 161352217 198587344 322704434 397174688 645408868 794349376 1290817736 2097578821 2581635472 4195157642 5163270944 8390315284 10326541888 16780630568 33561261136 67122522272 134245044544