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134324142040404 = 2232149155569160969
BaseRepresentation
bin11110100010101011000110…
…110001010110010101010100
3122121121021002102010201221200
4132202223012301112111110
5120101231320330243104
61153403354200512500
740202412313456551
oct3642530661262524
9577537072121850
10134324142040404
11398886043a43a8
1213094b0347b730
1359c4934a4b814
142525474a91a28
15107e12c40eb39
hex7a2ac6c56554

134324142040404 has 72 divisors (see below), whose sum is σ = 341824704585000. Its totient is φ = 44473650407424.

The previous prime is 134324142040393. The next prime is 134324142040427. The reversal of 134324142040404 is 404040241423431.

134324142040404 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 2 + 41 + 4 + 204 + 0 + 404 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8464014852804 + 125860127187600 = 2909298^2 + 11218740^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 834391632 + ... + 834552600.

Almost surely, 2134324142040404 is an apocalyptic number.

It is an amenable number.

134324142040404 is an abundant number, since it is smaller than the sum of its proper divisors (207500562544596).

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

134324142040404 is a wasteful number, since it uses less digits than its factorization.

134324142040404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316697 (or 316692 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 134324142040404 its reverse (404040241423431), we get a palindrome (538364383463835).

The spelling of 134324142040404 in words is "one hundred thirty-four trillion, three hundred twenty-four billion, one hundred forty-two million, forty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 155569 160969 311138 321938 466707 482907 622276 643876 933414 965814 1400121 1448721 1866828 1931628 2800242 2897442 5600484 5794884 23179781 23984381 46359562 47968762 69539343 71953143 92719124 95937524 139078686 143906286 208618029 215859429 278157372 287812572 417236058 431718858 834472116 863437716 25041786361 50083572722 75125359083 100167145444 150250718166 225376077249 300501436332 450752154498 901504308996 3731226167789 7462452335578 11193678503367 14924904671156 22387357006734 33581035510101 44774714013468 67162071020202 134324142040404