134709120
134,709,120 is an even composite number composed of six prime numbers multiplied together.
134709120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 134709120:
27 × 32 × 5 × 7 × 13 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 257)See below for interesting mathematical facts about the number 134709120 from the Numbermatics database.
Names of 134709120
- Cardinal: 134709120 can be written as One hundred thirty-four million, seven hundred nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3470912 × 108
Factors of 134709120
Divisors of 134709120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 112 117 120 126 128 130 140 144 156 160 168 180 182 192 195 208 210 224 234 240 252 257 260 273 280 288 312 315 320 336 360 364 384 390 416 420 448 455 468 480 504 514 520 546 560 576 585 624 630 640 672 720 728 771 780 819 832 840 896 910 936 960 1008 1028 1040 1092 1120 1152 1170 1248 1260 1285 1344 1365 1440 1456 1542 1560 1638 1664 1680 1799 1820 1872 1920 2016 2056 2080 2184 2240 2313 2340 2496 2520 2570 2688 2730 2880 2912 3084 3120 3276 3341 3360 3598 3640 3744 3855 4032 4095 4112 4160 4368 4480 4626 4680 4992 5040 5140 5397 5460 5760 5824 6168 6240 6552 6682 6720 7196 7280 7488 7710 8064 8190 8224 8320 8736 8995 9252 9360 10023 10080 10280 10794 10920 11565 11648 12336 12480 13104 13364 13440 14392 14560 14976 15420 16191 16380 16448 16705 17472 17990 18504 18720 20046 20160 20560 21588 21840 23130 23387 24672 24960 26208 26728 26985 28784 29120 30069 30840 32382 32760 32896 33410 34944 35980 37008 37440 40092 40320 41120 43176 43680 46260 46774 49344 50115 52416 53456 53970 57568 58240 60138 61680 64764 65520 66820 70161 71960 74016 74880 80184 80955 82240 86352 87360 92520 93548 98688 100230 104832 106912 107940 115136 116935 120276 123360 129528 131040 133640 140322 143920 148032 150345 160368 161910 164480 172704 174720 185040 187096 200460 210483 213824 215880 230272 233870 240552 246720 259056 262080 267280 280644 287840 296064 300690 320736 323820 345408 350805 370080 374192 400920 420966 427648 431760 467740 481104 493440 518112 524160 534560 561288 575680 601380 641472 647640 690816 701610 740160 748384 801840 841932 863520 935480 962208 1036224 1052415 1069120 1122576 1151360 1202760 1282944 1295280 1403220 1480320 1496768 1603680 1683864 1727040 1870960 1924416 2072448 2104830 2138240 2245152 2405520 2590560 2806440 2993536 3207360 3367728 3454080 3741920 3848832 4209660 4490304 4811040 5181120 5612880 6414720 6735456 7483840 8419320 8980608 9622080 10362240 11225760 13470912 14967680 16838640 19244160 22451520 26941824 33677280 44903040 67354560 134709120
- Sum of all divisors σ(n): 574741440
- Sum of proper divisors (its aliquot sum) s(n): 440032320
- 134709120 is an abundant number, because the sum of its proper divisors (440032320) is greater than itself. Its abundance is 305323200
Bases of 134709120
- Binary: 10000000011101111111100000002
- Hexadecimal: 0x8077F80
- Base-36: 287A80
Squares and roots of 134709120
- 134709120 squared (1347091202) is 18146547011174400
- 134709120 cubed (1347091203) is 2444505378913933590528000
-
The
square root of 134709120 is 11606.4258064229 -
The
cube root of 134709120 is 512.6240762447
Scales and comparisons
How big is 134709120?- 134,709,120 seconds is equal to 4 years, 14 weeks, 5 days, 3 hours, 12 minutes.
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To count from 1 to 134,709,120 would take you about six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 134709120 cubic inches would be around 42.7 feet tall.
Recreational maths with 134709120
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