134395200
134,395,200 is an even composite number composed of five prime numbers multiplied together.
134395200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 134395200:
26 × 34 × 52 × 17 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 61)See below for interesting mathematical facts about the number 134395200 from the Numbermatics database.
Names of 134395200
- Cardinal: 134395200 can be written as One hundred thirty-four million, three hundred ninety-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.343952 × 108
Factors of 134395200
Divisors of 134395200
- Number of divisors d(n): 420
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 61 64 68 72 75 80 81 85 90 96 100 102 108 120 122 135 136 144 150 153 160 162 170 180 183 192 200 204 216 225 240 244 255 270 272 288 300 305 306 320 324 340 360 366 400 405 408 425 432 450 459 480 488 510 540 544 549 576 600 610 612 648 675 680 720 732 765 800 810 816 850 864 900 915 918 960 976 1020 1037 1080 1088 1098 1200 1220 1224 1275 1296 1350 1360 1377 1440 1464 1525 1530 1600 1620 1632 1647 1700 1728 1800 1830 1836 1952 2025 2040 2074 2160 2196 2295 2400 2440 2448 2550 2592 2700 2720 2745 2754 2880 2928 3050 3060 3111 3240 3264 3294 3400 3600 3660 3672 3825 3904 4050 4080 4148 4320 4392 4575 4590 4800 4880 4896 4941 5100 5184 5185 5400 5440 5490 5508 5856 6100 6120 6222 6480 6588 6800 6885 7200 7320 7344 7650 8100 8160 8235 8296 8640 8784 9150 9180 9333 9760 9792 9882 10200 10370 10800 10980 11016 11475 11712 12200 12240 12444 12960 13176 13600 13725 13770 14400 14640 14688 15300 15555 16200 16320 16470 16592 17568 18300 18360 18666 19520 19764 20400 20740 21600 21960 22032 22950 24400 24480 24705 24888 25920 25925 26352 27200 27450 27540 27999 29280 29376 30600 31110 32400 32940 33184 34425 35136 36600 36720 37332 39528 40800 41175 41480 43200 43920 44064 45900 46665 48800 48960 49410 49776 51850 52704 54900 55080 55998 58560 61200 62220 64800 65880 66368 68850 73200 73440 74664 77775 79056 81600 82350 82960 83997 87840 88128 91800 93330 97600 98820 99552 103700 105408 109800 110160 111996 122400 123525 124440 129600 131760 137700 139995 146400 146880 149328 155550 158112 164700 165920 167994 175680 183600 186660 197640 199104 207400 219600 220320 223992 233325 244800 247050 248880 263520 275400 279990 292800 298656 311100 316224 329400 331840 335988 367200 373320 395280 414800 419985 439200 440640 447984 466650 494100 497760 527040 550800 559980 597312 622200 658800 671976 699975 734400 746640 790560 829600 839970 878400 895968 933300 988200 995520 1101600 1119960 1244400 1317600 1343952 1399950 1493280 1581120 1659200 1679940 1791936 1866600 1976400 2099925 2203200 2239920 2488800 2635200 2687904 2799900 2986560 3359880 3733200 3952800 4199850 4479840 4977600 5375808 5599800 6719760 7466400 7905600 8399700 8959680 11199600 13439520 14932800 16799400 22399200 26879040 33598800 44798400 67197600 134395200
- Sum of all divisors σ(n): 531636732
- Sum of proper divisors (its aliquot sum) s(n): 397241532
- 134395200 is an abundant number, because the sum of its proper divisors (397241532) is greater than itself. Its abundance is 262846332
Bases of 134395200
- Binary: 10000000001010110101010000002
- Hexadecimal: 0x802B540
- Base-36: 280K00
Squares and roots of 134395200
- 134395200 squared (1343952002) is 18062069783040000
- 134395200 cubed (1343952003) is 2427455480905617408000000
-
The
square root of 134395200 is 11592.8943754353 -
The
cube root of 134395200 is 512.2255679263
Scales and comparisons
How big is 134395200?- 134,395,200 seconds is equal to 4 years, 14 weeks, 1 day, 12 hours.
-
To count from 1 to 134,395,200 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 134395200 cubic inches would be around 42.7 feet tall.
Recreational maths with 134395200
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