134133120
134,133,120 is an even composite number composed of six prime numbers multiplied together.
134133120 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 134133120:
27 × 32 × 5 × 11 × 29 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 29 × 73)See below for interesting mathematical facts about the number 134133120 from the Numbermatics database.
Names of 134133120
- Cardinal: 134133120 can be written as One hundred thirty-four million, one hundred thirty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3413312 × 108
Factors of 134133120
Divisors of 134133120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 29 30 32 33 36 40 44 45 48 55 58 60 64 66 72 73 80 87 88 90 96 99 110 116 120 128 132 144 145 146 160 165 174 176 180 192 198 219 220 232 240 261 264 288 290 292 319 320 330 348 352 360 365 384 396 435 438 440 464 480 495 522 528 576 580 584 638 640 657 660 696 704 720 730 792 803 870 876 880 928 957 960 990 1044 1056 1095 1152 1160 1168 1276 1305 1314 1320 1392 1408 1440 1460 1584 1595 1606 1740 1752 1760 1856 1914 1920 1980 2088 2112 2117 2190 2320 2336 2409 2552 2610 2628 2640 2784 2871 2880 2920 3168 3190 3212 3285 3480 3504 3520 3712 3828 3960 4015 4176 4224 4234 4380 4640 4672 4785 4818 5104 5220 5256 5280 5568 5742 5760 5840 6336 6351 6380 6424 6570 6960 7008 7040 7227 7656 7920 8030 8352 8468 8760 9280 9344 9570 9636 10208 10440 10512 10560 10585 11136 11484 11680 12045 12672 12702 12760 12848 13140 13920 14016 14355 14454 15312 15840 16060 16704 16936 17520 18560 19053 19140 19272 20416 20880 21024 21120 21170 22968 23287 23360 24090 25404 25520 25696 26280 27840 28032 28710 28908 30624 31680 31755 32120 33408 33872 35040 36135 38106 38280 38544 40832 41760 42048 42340 45936 46574 46720 48180 50808 51040 51392 52560 55680 57420 57816 61248 63360 63510 64240 67744 69861 70080 72270 76212 76560 77088 83520 84096 84680 91872 93148 95265 96360 101616 102080 102784 105120 114840 115632 116435 122496 127020 128480 135488 139722 140160 144540 152424 153120 154176 167040 169360 183744 186296 190530 192720 203232 204160 209583 210240 229680 231264 232870 254040 256960 270976 279444 289080 304848 306240 308352 338720 349305 367488 372592 381060 385440 406464 419166 420480 459360 462528 465740 508080 513920 558888 578160 609696 612480 677440 698610 745184 762120 770880 812928 838332 918720 925056 931480 1016160 1047915 1117776 1156320 1219392 1354880 1397220 1490368 1524240 1541760 1676664 1837440 1862960 2032320 2095830 2235552 2312640 2438784 2794440 2980736 3048480 3353328 3725920 4064640 4191660 4471104 4625280 5588880 6096960 6706656 7451840 8383320 8942208 11177760 12193920 13413312 14903680 16766640 22355520 26826624 33533280 44711040 67066560 134133120
- Sum of all divisors σ(n): 529869600
- Sum of proper divisors (its aliquot sum) s(n): 395736480
- 134133120 is an abundant number, because the sum of its proper divisors (395736480) is greater than itself. Its abundance is 261603360
Bases of 134133120
- Binary: 1111111111010110101100000002
- Hexadecimal: 0x7FEB580
- Base-36: 27UXS0
Squares and roots of 134133120
- 134133120 squared (1341331202) is 17991693880934400
- 134133120 cubed (1341331203) is 2413282034334639587328000
-
The
square root of 134133120 is 11581.5853837029 -
The
cube root of 134133120 is 511.8923927503
Scales and comparisons
How big is 134133120?- 134,133,120 seconds is equal to 4 years, 13 weeks, 5 days, 11 hours, 12 minutes.
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To count from 1 to 134,133,120 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 134133120 cubic inches would be around 42.7 feet tall.
Recreational maths with 134133120
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