42814704400
42,814,704,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 42814704400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 360 divisors.
42814704400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 42814704400:
24 × 52 × 13 × 432 × 61 × 73
(2 × 2 × 2 × 2 × 5 × 5 × 13 × 43 × 43 × 61 × 73)See below for interesting mathematical facts about the number 42814704400 from the Numbermatics database.
Names of 42814704400
- Cardinal: 42814704400 can be written as Forty-two billion, eight hundred fourteen million, seven hundred four thousand, four hundred.
Scientific notation
- Scientific notation: 4.28147044 × 1010
Factors of 42814704400
Divisors of 42814704400
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 40 43 50 52 61 65 73 80 86 100 104 122 130 146 172 200 208 215 244 260 292 305 325 344 365 400 430 488 520 559 584 610 650 688 730 793 860 949 976 1040 1075 1118 1168 1220 1300 1460 1525 1586 1720 1825 1849 1898 2150 2236 2440 2600 2623 2795 2920 3050 3139 3172 3440 3650 3698 3796 3965 4300 4453 4472 4745 4880 5200 5246 5590 5840 6100 6278 6344 7300 7396 7592 7930 8600 8906 8944 9245 9490 10492 11180 12200 12556 12688 13115 13975 14600 14792 15184 15695 15860 17200 17812 18490 18980 19825 20984 22265 22360 23725 24037 24400 25112 26230 27950 29200 29584 31390 31720 34099 35624 36980 37960 39650 40807 41968 44530 44720 46225 47450 48074 50224 52460 55900 57889 62780 63440 65575 68198 71248 73960 75920 78475 79300 81614 89060 92450 94900 96148 104920 111325 111800 112789 115778 120185 125560 131150 134977 136396 147920 156950 158600 163228 170495 178120 184900 189800 191479 192296 204035 209840 222650 223600 225578 231556 240370 251120 262300 269954 272792 289445 313900 317200 326456 340990 356240 369800 379600 382958 384592 408070 445300 451156 463112 480740 524600 539908 545584 563945 578890 600925 627800 652912 674885 681980 739600 765916 816140 852475 890600 902312 926224 957395 961480 1020175 1049200 1079816 1127890 1157780 1201850 1255600 1349770 1363960 1447225 1466257 1531832 1632280 1704950 1754701 1781200 1804624 1914790 1922960 2040350 2159632 2255780 2315560 2403700 2489227 2699540 2727920 2819725 2894450 2932514 3063664 3264560 3374425 3409900 3509402 3829580 4080700 4511560 4631120 4786975 4807400 4978454 5399080 5639450 5788900 5865028 6748850 6819800 7018804 7331285 7659160 8161400 8233597 8773505 9023120 9573950 9614800 9956908 10798160 11278900 11577800 11730056 12446135 13497700 13639600 14037608 14662570 15318320 16322800 16467194 17547010 19147900 19913816 22557800 23155600 23460112 24892270 26995400 28075216 29325140 32934388 35094020 36656425 38295800 39827632 41167985 43867525 45115600 49784540 53990800 58650280 62230675 65868776 70188040 73312850 76591600 82335970 87735050 99569080 107036761 117300560 124461350 131737552 140376080 146625700 164671940 175470100 199138160 205839925 214073522 248922700 293251400 329343880 350940200 411679850 428147044 497845400 535183805 586502800 658687760 701880400 823359700 856294088 995690800 1070367610 1646719400 1712588176 2140735220 2675919025 3293438800 4281470440 5351838050 8562940880 10703676100 21407352200 42814704400
- Sum of all divisors σ(n): 116849120136
- Sum of proper divisors (its aliquot sum) s(n): 74034415736
- 42814704400 is an abundant number, because the sum of its proper divisors (74034415736) is greater than itself. Its abundance is 31219711336
Bases of 42814704400
- Binary: 1001111101111111010010001011000100002
- Hexadecimal: 0x9F7F48B10
- Base-36: JO2RPCG
Squares and roots of 42814704400
- 42814704400 squared (428147044002) is 1833098912859379360000
- 42814704400 cubed (428147044003) is 78483588090035686065861184000000
-
The
square root of 42814704400 is 206917.1438039873 -
The
cube root of 42814704400 is 3498.3585336897
Scales and comparisons
How big is 42814704400?- 42,814,704,400 seconds is equal to 1,361 years, 19 weeks, 3 days, 13 hours, 26 minutes, 40 seconds.
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To count from 1 to 42,814,704,400 would take you about two thousand, seven hundred twenty-two 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 42814704400 cubic inches would be around 291.5 feet tall.
Recreational maths with 42814704400
- 42814704400 backwards is 00440741824
- The number of decimal digits it has is: 11
- The sum of 42814704400's digits is 34
- More coming soon!
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