13830404071680
13,830,404,071,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13830404071680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
13830404071680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 13830404071680:
28 × 34 × 5 × 73 × 23 × 37 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 23 × 37 × 457)See below for interesting mathematical facts about the number 13830404071680 from the Numbermatics database.
Names of 13830404071680
- Cardinal: 13830404071680 can be written as Thirteen trillion, eight hundred thirty billion, four hundred four million, seventy-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.383040407168 × 1013
Factors of 13830404071680
Divisors of 13830404071680
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 27 28 30 32 35 36 37 40 42 45 46 48 49 54 56 60 63 64 69 70 72 74 80 81 84 90 92 96 98 105 108 111 112 115 120 126 128 135 138 140 144 147 148 160 161 162 168 180 184 185 189 192 196 207 210 216 222 224 230 240 245 252 256 259 270 276 280 288 294 296 315 320 322 324 333 336 343 345 360 368 370 378 384 392 405 414 420 432 441 444 448 457 460 480 483 490 504 518 540 552 555 560 567 576 588 592 621 630 640 644 648 666 672 686 690 720 735 736 740 756 768 777 784 805 810 828 840 851 864 882 888 896 914 920 945 960 966 980 999 1008 1029 1035 1036 1080 1104 1110 1120 1127 1134 1152 1176 1184 1242 1260 1280 1288 1295 1296 1323 1332 1344 1371 1372 1380 1440 1449 1470 1472 1480 1512 1554 1568 1610 1620 1656 1665 1680 1702 1715 1728 1764 1776 1792 1813 1828 1840 1863 1890 1920 1932 1960 1998 2016 2058 2070 2072 2160 2205 2208 2220 2240 2254 2268 2285 2304 2331 2352 2368 2415 2484 2520 2553 2576 2590 2592 2646 2664 2688 2742 2744 2760 2835 2880 2898 2940 2944 2960 2997 3024 3087 3105 3108 3136 3199 3220 3240 3312 3330 3360 3381 3404 3430 3456 3528 3552 3626 3656 3680 3726 3780 3840 3864 3885 3920 3969 3996 4032 4113 4116 4140 4144 4255 4320 4347 4410 4416 4440 4480 4508 4536 4570 4662 4704 4736 4830 4968 4995 5040 5106 5145 5152 5180 5184 5292 5328 5376 5439 5484 5488 5520 5635 5670 5760 5796 5880 5888 5920 5957 5994 6048 6174 6210 6216 6272 6398 6440 6480 6615 6624 6660 6720 6762 6808 6855 6860 6912 6993 7056 7104 7245 7252 7312 7360 7452 7560 7659 7728 7770 7840 7889 7938 7992 8064 8226 8232 8280 8288 8510 8640 8694 8820 8832 8880 8960 9016 9065 9072 9140 9261 9315 9324 9408 9472 9597 9660 9936 9990 10080 10143 10212 10290 10304 10360 10368 10511 10584 10656 10878 10968 10976 11040 11270 11340 11520 11592 11655 11760 11840 11914 11988 12096 12339 12348 12420 12432 12544 12691 12765 12796 12880 12960 13041 13230 13248 13320 13440 13524 13616 13710 13720 13986 14112 14208 14490 14504 14624 14720 14904 14985 15120 15318 15435 15456 15540 15680 15778 15876 15984 15995 16128 16317 16452 16464 16560 16576 16905 16909 17020 17280 17388 17640 17664 17760 17871 18032 18130 18144 18280 18522 18630 18648 18816 19194 19320 19845 19872 19980 20160 20286 20424 20565 20580 20608 20720 20736 20979 21022 21168 21312 21735 21756 21936 21952 22080 22393 22540 22680 22977 23184 23310 23520 23667 23680 23828 23976 24192 24678 24696 24840 24864 25382 25530 25592 25760 25920 26082 26460 26496 26640 26880 27048 27195 27232 27420 27440 27783 27972 28224 28416 28791 28980 29008 29248 29440 29785 29808 29970 30240 30429 30636 30870 30912 31080 31360 31533 31556 31752 31968 31990 32634 32904 32928 33120 33152 33810 33818 34040 34560 34776 34965 35280 35520 35742 36064 36260 36288 36560 37017 37044 37260 37296 37632 38073 38295 38388 38640 39445 39690 39744 39960 40320 40572 40848 41130 41160 41216 41440 41699 41958 42044 42336 42624 43470 43512 43872 43904 44160 44786 45080 45360 45954 46305 46368 46620 47040 47334 47360 47656 47952 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10022031936 10080469440 10087822080 10290479220 10383186240 10453820160 10671608080 10679848704 10737891360 10805003181 10976511168 11135591040 11681084520 11760547680 12005559090 12196123520 12271875840 12348575064 12459823488 12527539920 12805929696 13349810880 13362709248 13440625920 13720638960 13844248320 14112657216 14317188480 14406670908 14635348224 15033047904 15131733120 15435718830 15574779360 15680730240 16007412120 16251943680 16464766752 16703386560 17074572928 17180626176 17640821520 17799747840 18008338635 18294185280 18689735232 18791309880 18816876288 19208894544 20044063872 20160938880 20580958440 20766372480 21343216160 21475782720 21610006362 21953022336 22271182080 23362169040 23521095360 24011118180 24392247040 24697150128 24919646976 25055079840 25611859392 26699621760 27441277920 28225314432 28634376960 28813341816 30066095808 30263466240 30871437660 31149558720 31361460480 32014824240 32929533504 33406773120 34149145856 35281643040 36016677270 36588370560 37379470464 37582619760 38417789088 40088127744 40321877760 41161916880 41532744960 42686432320 42951565440 43220012724 43906044672 46724338080 47042190720 48022236360 49394300256 50110159680 51223718784 53399243520 54025015905 54882555840 56450628864 57626683632 60132191616 61742875320 62299117440 64029648480 65859067008 66813546240 70563286080 72033354540 73176741120 74758940928 75165239520 76835578176 82323833760 85372864640 85903130880 86440025448 93448676160 94084381440 96044472720 98788600512 100220319360 102447437568 108050031810 109765111680 115253367264 120264383232 123485750640 124598234880 128059296960 131718134016 141126572160 144066709080 150330479040 153671156352 164647667520 170745729280 172880050896 186897352320 192088945440 197577201024 200440638720 216100063620 219530223360 230506734528 246971501280 256118593920 282253144320 288133418160 300660958080 307342312704 329295335040 345760101792 373794704640 384177890880 395154402048 432200127240 461013469056 493943002560 512237187840 576266836320 601321916160 658590670080 691520203584 768355781760 864400254480 922026938112 987886005120 1152533672640 1383040407168 1536711563520 1728800508960 1975772010240 2305067345280 2766080814336 3457601017920 4610134690560 6915202035840 13830404071680
- Sum of all divisors σ(n): 61983747302400
- Sum of proper divisors (its aliquot sum) s(n): 48153343230720
- 13830404071680 is an abundant number, because the sum of its proper divisors (48153343230720) is greater than itself. Its abundance is 34322939159040
Bases of 13830404071680
- Binary: 110010010100001001000101001001100001000000002
- Hexadecimal: 0xC9424526100
- Base-36: 4WHLLHS00
Squares and roots of 13830404071680
- 13830404071680 squared (138304040716802) is 191280076785942722578022400
- 13830404071680 cubed (138304040716803) is 2645480752811565278130345667442245632000
-
The
square root of 13830404071680 is 3718925.1231612609 -
The
cube root of 13830404071680 is 24003.7054878605
Scales and comparisons
How big is 13830404071680?- 13,830,404,071,680 seconds is equal to 439,764 years, 3 weeks, 4 days, 4 hours, 48 minutes.
-
To count from 1 to 13,830,404,071,680 would take you about one million, ninety-nine thousand, four hundred 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 13830404071680 cubic inches would be around 2000.3 feet tall.
Recreational maths with 13830404071680
- 13830404071680 backwards is 08617040403831
- 13830404071680 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13830404071680's digits is 45
- More coming soon!
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MLA style:
"Number 13830404071680 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
APA style:
Numbermatics. (2024). Number 13830404071680 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/13830404071680/
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The information we have on file for 13830404071680 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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