214830720
214,830,720 is an even composite number composed of six prime numbers multiplied together.
214830720 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 214830720:
27 × 32 × 5 × 13 × 19 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 19 × 151)See below for interesting mathematical facts about the number 214830720 from the Numbermatics database.
Names of 214830720
- Cardinal: 214830720 can be written as Two hundred fourteen million, eight hundred thirty thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 2.1483072 × 108
Factors of 214830720
Divisors of 214830720
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 30 32 36 38 39 40 45 48 52 57 60 64 65 72 76 78 80 90 95 96 104 114 117 120 128 130 144 151 152 156 160 171 180 190 192 195 208 228 234 240 247 260 285 288 302 304 312 320 342 360 380 384 390 416 453 456 468 480 494 520 570 576 585 604 608 624 640 684 720 741 755 760 780 832 855 906 912 936 960 988 1040 1140 1152 1170 1208 1216 1235 1248 1359 1368 1440 1482 1510 1520 1560 1664 1710 1812 1824 1872 1920 1963 1976 2080 2223 2265 2280 2340 2416 2432 2470 2496 2718 2736 2869 2880 2964 3020 3040 3120 3420 3624 3648 3705 3744 3926 3952 4160 4446 4530 4560 4680 4832 4940 4992 5436 5472 5738 5760 5889 5928 6040 6080 6240 6795 6840 7248 7296 7410 7488 7852 7904 8320 8607 8892 9060 9120 9360 9664 9815 9880 10872 10944 11115 11476 11778 11856 12080 12160 12480 13590 13680 14345 14496 14820 14976 15704 15808 17214 17667 17784 18120 18240 18720 19328 19630 19760 21744 21888 22230 22952 23556 23712 24160 24960 25821 27180 27360 28690 28992 29445 29640 31408 31616 34428 35334 35568 36240 36480 37297 37440 39260 39520 43035 43488 44460 45904 47112 47424 48320 51642 54360 54720 57380 57984 58890 59280 62816 68856 70668 71136 72480 74594 74880 78520 79040 86070 86976 88335 88920 91808 94224 94848 96640 103284 108720 109440 111891 114760 117780 118560 125632 129105 137712 141336 142272 144960 149188 157040 158080 172140 173952 176670 177840 183616 186485 188448 206568 217440 223782 229520 235560 237120 251264 258210 275424 282672 284544 289920 298376 314080 335673 344280 353340 355680 367232 372970 376896 413136 434880 447564 459040 471120 474240 516420 550848 559455 565344 596752 628160 671346 688560 706680 711360 745940 753792 826272 869760 895128 918080 942240 1032840 1101696 1118910 1130688 1193504 1256320 1342692 1377120 1413360 1422720 1491880 1652544 1678365 1790256 1836160 1884480 2065680 2237820 2261376 2387008 2685384 2754240 2826720 2983760 3305088 3356730 3580512 3768960 4131360 4475640 4774016 5370768 5508480 5653440 5967520 6713460 7161024 8262720 8951280 10741536 11306880 11935040 13426920 14322048 16525440 17902560 21483072 23870080 26853840 35805120 42966144 53707680 71610240 107415360 214830720
- Sum of all divisors σ(n): 846518400
- Sum of proper divisors (its aliquot sum) s(n): 631687680
- 214830720 is an abundant number, because the sum of its proper divisors (631687680) is greater than itself. Its abundance is 416856960
Bases of 214830720
- Binary: 11001100111000001110100000002
- Hexadecimal: 0xCCE0E80
- Base-36: 3JWKG0
Squares and roots of 214830720
- 214830720 squared (2148307202) is 46152238255718400
- 214830720 cubed (2148307203) is 9914918574087527989248000
-
The
square root of 214830720 is 14657.1047618553 -
The
cube root of 214830720 is 598.9153738249
Scales and comparisons
How big is 214830720?- 214,830,720 seconds is equal to 6 years, 43 weeks, 1 day, 11 hours, 12 minutes.
-
To count from 1 to 214,830,720 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 214830720 cubic inches would be around 49.9 feet tall.
Recreational maths with 214830720
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