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134424006255 = 325711101384107
BaseRepresentation
bin111110100110001001…
…0111000111001101111
3110211222020111001022100
41331030102320321233
54200300021200010
6141430432550143
712466103125530
oct1751422707157
9424866431270
10134424006255
1152010935550
12220763b2353
13c8a35c1606
146712c72687
15376b4402c0
hex1f4c4b8e6f

134424006255 has 96 divisors (see below), whose sum is σ = 293372471808. Its totient is φ = 55311264000.

The previous prime is 134424006229. The next prime is 134424006263. The reversal of 134424006255 is 552600424431.

134424006255 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 24 + 0 + 0 + 625 + 5 = 666.

It is not a de Polignac number, because 134424006255 - 26 = 134424006191 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157912 + ... + 542018.

It is an arithmetic number, because the mean of its divisors is an integer number (3055963248).

Almost surely, 2134424006255 is an apocalyptic number.

134424006255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

134424006255 is an abundant number, since it is smaller than the sum of its proper divisors (158948465553).

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

134424006255 is a wasteful number, since it uses less digits than its factorization.

134424006255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384237 (or 384234 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 134424006255 in words is "one hundred thirty-four billion, four hundred twenty-four million, six thousand, two hundred fifty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 101 105 165 231 303 315 385 495 505 693 707 909 1111 1155 1515 2121 3333 3465 3535 4545 5555 6363 7777 9999 10605 16665 23331 31815 38885 49995 69993 116655 349965 384107 1152321 1920535 2688749 3456963 4225177 5761605 8066247 12675531 13443745 17284815 21125885 24198741 29576239 38026593 38794807 40331235 63377655 88728717 116384421 120993705 147881195 190132965 193974035 266186151 271563649 349153263 426742877 443643585 581922105 814690947 1280228631 1330930755 1357818245 1745766315 2133714385 2444072841 2987200139 3840685893 4073454735 6401143155 8961600417 12220364205 14936000695 19203429465 26884801251 44808002085 134424006255