214134840
214,134,840 is an even composite number composed of six prime numbers multiplied together.
214134840 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 214134840:
23 × 34 × 5 × 29 × 43 × 53
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 29 × 43 × 53)See below for interesting mathematical facts about the number 214134840 from the Numbermatics database.
Names of 214134840
- Cardinal: 214134840 can be written as Two hundred fourteen million, one hundred thirty-four thousand, eight hundred forty.
Scientific notation
- Scientific notation: 2.1413484 × 108
Factors of 214134840
Divisors of 214134840
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 43 45 53 54 58 60 72 81 86 87 90 106 108 116 120 129 135 145 159 162 172 174 180 212 215 216 232 258 261 265 270 290 318 324 344 348 360 387 405 424 430 435 477 516 522 530 540 580 636 645 648 696 774 783 795 810 860 870 954 1032 1044 1060 1080 1160 1161 1247 1272 1290 1305 1431 1537 1548 1566 1590 1620 1720 1740 1908 1935 2088 2120 2279 2322 2349 2385 2494 2580 2610 2862 3074 3096 3132 3180 3240 3480 3483 3741 3816 3870 3915 4293 4558 4611 4644 4698 4770 4988 5160 5220 5724 5805 6148 6235 6264 6360 6837 6966 7155 7482 7685 7740 7830 8586 9116 9222 9288 9396 9540 9976 10440 11223 11395 11448 11610 11745 12296 12470 13674 13833 13932 14310 14964 15370 15480 15660 17172 17415 18232 18444 18705 18792 19080 20511 21465 22446 22790 23055 23220 23490 24940 27348 27666 27864 28620 29928 30740 31320 33669 34185 34344 34830 36888 37410 41022 41499 42930 44892 45580 46110 46440 46980 49880 54696 55332 56115 57240 61480 61533 66091 67338 68370 69165 69660 74820 82044 82998 85860 89784 91160 92220 93960 101007 102555 110664 112230 123066 124497 132182 134676 136740 138330 139320 149640 164088 165996 168345 171720 184440 184599 198273 202014 205110 207495 224460 246132 248994 264364 269352 273480 276660 307665 330455 331992 336690 369198 396546 404028 410220 414990 448920 492264 497988 505035 528728 553320 594819 615330 622485 660910 673380 738396 793092 808056 820440 829980 922995 991365 995976 1010070 1189638 1230660 1244970 1321820 1346760 1476792 1586184 1659960 1784457 1845990 1982730 2020140 2379276 2461320 2489940 2643640 2974095 3568914 3691980 3965460 4040280 4758552 4979880 5353371 5948190 7137828 7383960 7930920 8922285 10706742 11896380 14275656 17844570 21413484 23792760 26766855 35689140 42826968 53533710 71378280 107067420 214134840
- Sum of all divisors σ(n): 776239200
- Sum of proper divisors (its aliquot sum) s(n): 562104360
- 214134840 is an abundant number, because the sum of its proper divisors (562104360) is greater than itself. Its abundance is 347969520
Bases of 214134840
- Binary: 11001100001101110000001110002
- Hexadecimal: 0xCC37038
- Base-36: 3JHNI0
Squares and roots of 214134840
- 214134840 squared (2141348402) is 45853729701825600
- 214134840 cubed (2141348403) is 9818881073103672563904000
-
The
square root of 214134840 is 14633.3468488927 -
The
cube root of 214134840 is 598.2680051337
Scales and comparisons
How big is 214134840?- 214,134,840 seconds is equal to 6 years, 42 weeks, 9 hours, 54 minutes.
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To count from 1 to 214,134,840 would take you about ten 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 214134840 cubic inches would be around 49.9 feet tall.
Recreational maths with 214134840
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