Search a number
-
+
134041455585 = 3451721145213
BaseRepresentation
bin111110011010101111…
…1100100101111100001
3110210222120122110110000
41330311133210233201
54144004103034320
6141324445330213
712453446400462
oct1746537445741
9423876573400
10134041455585
11519349a8574
1221b8a266969
13c84227c47b
1466b8130d69
153747a76c90
hex1f357e4be1

134041455585 has 60 divisors (see below), whose sum is σ = 255247586748. Its totient is φ = 67283495424.

The previous prime is 134041455539. The next prime is 134041455599. The reversal of 134041455585 is 585554140431.

134041455585 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 4 + 14 + 55 + 585 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 35490038544 + 98551417041 = 188388^2 + 313929^2 .

It is not a de Polignac number, because 134041455585 - 223 = 134033066977 is a prime.

It is a super-2 number, since 2×1340414555852 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 134041455585.

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 59 ways as a sum of consecutive naturals, for example, 455562 + ... + 689651.

Almost surely, 2134041455585 is an apocalyptic number.

134041455585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134041455585 is a deficient number, since it is larger than the sum of its proper divisors (121206131163).

134041455585 is a wasteful number, since it uses less digits than its factorization.

134041455585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145264 (or 1145238 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 134041455585 in words is "one hundred thirty-four billion, forty-one million, four hundred fifty-five thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 289 405 459 765 867 1377 1445 2295 2601 4335 6885 7803 13005 23409 39015 117045 1145213 3435639 5726065 10306917 17178195 19468621 30920751 51534585 58405863 92762253 97343105 154603755 175217589 292029315 330966557 463811265 525652767 876087945 992899671 1576958301 1654832785 2628263835 2978699013 4964498355 7884791505 8936097039 14893495065 26808291117 44680485195 134041455585