213470400
213,470,400 is an even composite number composed of six prime numbers multiplied together.
213470400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 213470400:
26 × 3 × 52 × 11 × 13 × 311
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 311)See below for interesting mathematical facts about the number 213470400 from the Numbermatics database.
Names of 213470400
- Cardinal: 213470400 can be written as Two hundred thirteen million, four hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 2.134704 × 108
Factors of 213470400
Divisors of 213470400
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 44 48 50 52 55 60 64 65 66 75 78 80 88 96 100 104 110 120 130 132 143 150 156 160 165 176 192 195 200 208 220 240 260 264 275 286 300 311 312 320 325 330 352 390 400 416 429 440 480 520 528 550 572 600 622 624 650 660 704 715 780 800 825 832 858 880 933 960 975 1040 1056 1100 1144 1200 1244 1248 1300 1320 1430 1555 1560 1600 1650 1716 1760 1866 1950 2080 2112 2145 2200 2288 2400 2488 2496 2600 2640 2860 3110 3120 3300 3421 3432 3520 3575 3732 3900 4043 4160 4290 4400 4576 4665 4800 4976 5200 5280 5720 6220 6240 6600 6842 6864 7150 7464 7775 7800 8086 8580 8800 9152 9330 9952 10263 10400 10560 10725 11440 12129 12440 12480 13200 13684 13728 14300 14928 15550 15600 16172 17105 17160 17600 18660 19904 20215 20526 20800 21450 22880 23325 24258 24880 26400 27368 27456 28600 29856 31100 31200 32344 34210 34320 37320 40430 41052 42900 44473 45760 46650 48516 49760 51315 52800 54736 57200 59712 60645 62200 62400 64688 68420 68640 74640 80860 82104 85525 85800 88946 93300 97032 99520 101075 102630 109472 114400 121290 124400 129376 133419 136840 137280 149280 161720 164208 171050 171600 177892 186600 194064 202150 205260 218944 222365 228800 242580 248800 256575 258752 266838 273680 298560 303225 323440 328416 342100 343200 355784 373200 388128 404300 410520 444730 485160 497600 513150 533676 547360 606450 646880 656832 667095 684200 686400 711568 746400 776256 808600 821040 889460 970320 1026300 1067352 1094720 1111825 1212900 1293760 1334190 1368400 1423136 1492800 1617200 1642080 1778920 1940640 2052600 2134704 2223650 2425800 2668380 2736800 2846272 3234400 3284160 3335475 3557840 3881280 4105200 4269408 4447300 4851600 5336760 5473600 6468800 6670950 7115680 8210400 8538816 8894600 9703200 10673520 13341900 14231360 16420800 17789200 19406400 21347040 26683800 35578400 42694080 53367600 71156800 106735200 213470400
- Sum of all divisors σ(n): 825447168
- Sum of proper divisors (its aliquot sum) s(n): 611976768
- 213470400 is an abundant number, because the sum of its proper divisors (611976768) is greater than itself. Its abundance is 398506368
Bases of 213470400
- Binary: 11001011100101001100110000002
- Hexadecimal: 0xCB94CC0
- Base-36: 3J3ETC
Squares and roots of 213470400
- 213470400 squared (2134704002) is 45569611676160000
- 213470400 cubed (2134704003) is 9727763232354545664000000
-
The
square root of 213470400 is 14610.6262699447 -
The
cube root of 213470400 is 597.6485744795
Scales and comparisons
How big is 213470400?- 213,470,400 seconds is equal to 6 years, 40 weeks, 6 days, 17 hours, 20 minutes.
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To count from 1 to 213,470,400 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 213470400 cubic inches would be around 49.8 feet tall.
Recreational maths with 213470400
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