Search a number
-
+
134528345640 = 23335139581791
BaseRepresentation
bin111110101001010000…
…0111010011000101000
3110212020111211001001000
41331102200322120220
54201003224030030
6141445041155000
712501511033143
oct1752240723050
9425214731030
10134528345640
1152064820247
12220a532ba60
13c8bc0c42b0
146722a7305a
1537756a0860
hex1f5283a628

134528345640 has 128 divisors (see below), whose sum is σ = 482922316800. Its totient is φ = 33114666240.

The previous prime is 134528345639. The next prime is 134528345663. The reversal of 134528345640 is 46543825431.

134528345640 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 2 + 83 + 4 + 564 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4776856 + ... + 4804935.

It is an arithmetic number, because the mean of its divisors is an integer number (3772830600).

Almost surely, 2134528345640 is an apocalyptic number.

134528345640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134528345640 is an abundant number, since it is smaller than the sum of its proper divisors (348393971160).

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

134528345640 is a wasteful number, since it uses less digits than its factorization.

134528345640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9581824 (or 9581814 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 134528345640 in words is "one hundred thirty-four billion, five hundred twenty-eight million, three hundred forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 9581791 19163582 28745373 38327164 47908955 57490746 76654328 86236119 95817910 114981492 124563283 143726865 172472238 191635820 229962984 249126566 258708357 287453730 344944476 373689849 383271640 431180595 498253132 517416714 574907460 622816415 689888952 747379698 862361190 996506264 1034833428 1121069547 1149814920 1245632830 1293541785 1494759396 1724722380 1868449245 2069666856 2242139094 2491265660 2587083570 2989518792 3363208641 3449444760 3736898490 4484278188 4982531320 5174167140 5605347735 6726417282 7473796980 8968556376 10348334280 11210695470 13452834564 14947593960 16816043205 22421390940 26905669128 33632086410 44842781880 67264172820 134528345640