134006400
134,006,400 is an even composite number composed of five prime numbers multiplied together.
134006400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 134006400:
27 × 34 × 52 × 11 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 47)See below for interesting mathematical facts about the number 134006400 from the Numbermatics database.
Names of 134006400
- Cardinal: 134006400 can be written as One hundred thirty-four million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.340064 × 108
Factors of 134006400
Divisors of 134006400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 47 48 50 54 55 60 64 66 72 75 80 81 88 90 94 96 99 100 108 110 120 128 132 135 141 144 150 160 162 165 176 180 188 192 198 200 216 220 225 235 240 264 270 275 282 288 297 300 320 324 330 352 360 376 384 396 400 405 423 432 440 450 470 480 495 517 528 540 550 564 576 594 600 640 648 660 675 704 705 720 752 792 800 810 825 846 864 880 891 900 940 960 990 1034 1056 1080 1100 1128 1152 1175 1188 1200 1269 1296 1320 1350 1408 1410 1440 1485 1504 1551 1584 1600 1620 1650 1692 1728 1760 1782 1800 1880 1920 1980 2025 2068 2112 2115 2160 2200 2256 2350 2376 2400 2475 2538 2585 2592 2640 2700 2820 2880 2970 3008 3102 3168 3200 3240 3300 3384 3456 3520 3525 3564 3600 3760 3807 3960 4050 4136 4224 4230 4320 4400 4455 4512 4653 4700 4752 4800 4950 5076 5170 5184 5280 5400 5640 5760 5940 6016 6204 6336 6345 6480 6600 6768 7040 7050 7128 7200 7425 7520 7614 7755 7920 8100 8272 8460 8640 8800 8910 9024 9306 9400 9504 9600 9900 10152 10340 10368 10560 10575 10800 11280 11880 12408 12672 12690 12925 12960 13200 13536 13959 14100 14256 14400 14850 15040 15228 15510 15840 16200 16544 16920 17280 17600 17820 18048 18612 18800 19008 19035 19800 20304 20680 21120 21150 21600 22275 22560 23265 23760 24816 25380 25850 25920 26400 27072 27918 28200 28512 28800 29700 30080 30456 31020 31680 31725 32400 33088 33840 35200 35640 37224 37600 38016 38070 38775 39600 40608 41360 41877 42300 43200 44550 45120 46530 47520 49632 50760 51700 51840 52800 54144 55836 56400 57024 59400 60912 62040 63360 63450 64800 66176 67680 69795 71280 74448 75200 76140 77550 79200 81216 82720 83754 84600 86400 89100 90240 93060 95040 95175 99264 101520 103400 105600 111672 112800 114048 116325 118800 121824 124080 126900 129600 135360 139590 142560 148896 150400 152280 155100 158400 162432 165440 167508 169200 178200 186120 190080 190350 198528 203040 206800 209385 223344 225600 232650 237600 243648 248160 253800 259200 270720 279180 285120 297792 304560 310200 316800 330880 335016 338400 348975 356400 372240 380700 406080 413600 418770 446688 451200 465300 475200 487296 496320 507600 558360 570240 595584 609120 620400 670032 676800 697950 712800 744480 761400 812160 827200 837540 893376 930600 950400 992640 1015200 1046925 1116720 1218240 1240800 1340064 1353600 1395900 1425600 1488960 1522800 1654400 1675080 1786752 1861200 2030400 2093850 2233440 2436480 2481600 2680128 2791800 2851200 2977920 3045600 3350160 3722400 4060800 4187700 4466880 4963200 5360256 5583600 6091200 6700320 7444800 8375400 8933760 11167200 12182400 13400640 14889600 16750800 22334400 26801280 33501600 44668800 67003200 134006400
- Sum of all divisors σ(n): 550946880
- Sum of proper divisors (its aliquot sum) s(n): 416940480
- 134006400 is an abundant number, because the sum of its proper divisors (416940480) is greater than itself. Its abundance is 282934080
Bases of 134006400
- Binary: 1111111110011000110100000002
- Hexadecimal: 0x7FCC680
- Base-36: 27S800
Squares and roots of 134006400
- 134006400 squared (1340064002) is 17957715240960000
- 134006400 cubed (1340064003) is 2406448771666182144000000
-
The
square root of 134006400 is 11576.1133373857 -
The
cube root of 134006400 is 511.7311413953
Scales and comparisons
How big is 134006400?- 134,006,400 seconds is equal to 4 years, 13 weeks, 4 days.
-
To count from 1 to 134,006,400 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 134006400 cubic inches would be around 42.6 feet tall.
Recreational maths with 134006400
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