130984214400
130,984,214,400 is an even composite number composed of six prime numbers multiplied together.
130984214400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 130984214400:
27 × 33 × 52 × 13 × 277 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 277 × 421)See below for interesting mathematical facts about the number 130984214400 from the Numbermatics database.
Names of 130984214400
- Cardinal: 130984214400 can be written as One hundred thirty billion, nine hundred eighty-four million, two hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.309842144 × 1011
Factors of 130984214400
Divisors of 130984214400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 90 96 100 104 108 117 120 128 130 135 144 150 156 160 180 192 195 200 208 216 225 234 240 260 270 277 288 300 312 320 325 351 360 384 390 400 416 421 432 450 468 480 520 540 554 576 585 600 624 640 650 675 702 720 780 800 831 832 842 864 900 936 960 975 1040 1080 1108 1152 1170 1200 1248 1263 1300 1350 1385 1404 1440 1560 1600 1662 1664 1684 1728 1755 1800 1872 1920 1950 2080 2105 2160 2216 2340 2400 2493 2496 2526 2600 2700 2770 2808 2880 2925 3120 3200 3324 3368 3456 3510 3600 3601 3744 3789 3900 4155 4160 4210 4320 4432 4680 4800 4986 4992 5052 5200 5400 5473 5540 5616 5760 5850 6240 6315 6648 6736 6925 7020 7200 7202 7479 7488 7578 7800 8310 8320 8420 8640 8775 8864 9360 9600 9972 10104 10400 10525 10800 10803 10946 11080 11232 11367 11700 12465 12480 12630 13296 13472 13850 14040 14400 14404 14958 14976 15156 15600 16419 16620 16840 17280 17550 17728 18005 18720 18945 19944 20208 20775 20800 21050 21600 21606 21892 22160 22464 22734 23400 24930 24960 25260 26592 26944 27365 27700 28080 28800 28808 29916 30312 31200 31575 32409 32838 33240 33680 35100 35456 36010 37395 37440 37890 39888 40416 41550 41600 42100 43200 43212 43784 44320 44928 45468 46800 49257 49860 50520 53184 53888 54015 54730 55400 56160 56835 57616 59832 60624 62325 62400 63150 64818 65676 66480 67360 70200 72020 74790 74880 75780 79776 80832 82095 83100 84200 86400 86424 87568 88640 90025 90936 93600 94725 97227 98514 99720 101040 106368 108030 109460 110800 112320 113670 115232 116617 119664 121248 124650 124800 126300 129636 131352 132960 134720 136825 140400 144040 147771 149580 151560 159552 161664 162045 164190 166200 168400 172848 175136 177280 180050 181872 186975 187200 189450 194454 197028 199440 202080 216060 218920 221600 224640 227340 230464 233234 239328 242496 246285 249300 252600 259272 262704 265920 269440 270075 273650 280800 284175 288080 295542 299160 303120 319104 324090 328380 332400 336800 345696 349851 350272 360100 363744 373950 374400 378900 388908 394056 398880 404160 410475 432120 437840 443200 454680 460928 466468 478656 484992 486135 492570 498600 505200 518544 525408 531840 540150 547300 561600 568350 576160 583085 591084 598320 606240 648180 656760 664800 673600 691392 699702 700544 720200 727488 738855 747900 757800 777816 788112 797760 808320 810225 820950 864240 875680 886400 909360 932936 957312 972270 985140 997200 1010400 1037088 1049553 1050816 1080300 1094600 1123200 1136700 1152320 1166170 1182168 1196640 1212480 1231425 1296360 1313520 1329600 1347200 1382784 1399404 1440400 1454976 1477710 1495800 1515600 1516021 1555632 1576224 1595520 1620450 1641900 1728480 1749255 1751360 1818720 1865872 1944540 1970280 1994400 2020800 2074176 2099106 2101632 2160600 2189200 2273400 2304640 2332340 2364336 2393280 2424960 2430675 2462850 2592720 2627040 2659200 2798808 2880800 2915425 2955420 2991600 3031200 3032042 3111264 3148659 3152448 3240900 3283800 3456960 3498510 3502720 3637440 3694275 3731744 3889080 3940560 3988800 4041600 4148352 4198212 4321200 4378400 4546800 4548063 4664680 4728672 4786560 4861350 4925700 5185440 5247765 5254080 5597616 5761600 5830850 5910840 5983200 6062400 6064084 6222528 6297318 6304896 6481800 6567600 6913920 6997020 7274880 7388550 7463488 7580105 7778160 7881120 7977600 8396424 8642400 8746275 8756800 9093600 9096126 9329360 9457344 9722700 9851400 10370880 10495530 10508160 11195232 11523200 11661700 11821680 11966400 12124800 12128168 12445056 12594636 12963600 13135200 13644189 13994040 14777100 14926976 15160210 15556320 15743295 15762240 16792848 17284800 17492550 17513600 18187200 18192252 18658720 18914688 19445400 19702800 20741760 20991060 22390464 22740315 23323400 23643360 23932800 24256336 25189272 25927200 26238825 26270400 27288378 27988080 29554200 30320420 31112640 31486590 31524480 33585696 34569600 34985100 36374400 36384504 37317440 37900525 38890800 39405600 40932567 41982120 44780928 45480630 46646800 47286720 48512672 50378544 51854400 52477650 52540800 54576756 55976160 59108400 60640840 62225280 62973180 67171392 68220945 69970200 72769008 74634880 75801050 77781600 78716475 78811200 81865134 83964240 90961260 93293600 94573440 97025344 100757088 103708800 104955300 109153512 111952320 113701575 118216800 121281680 125946360 134342784 136441890 139940400 145538016 151602100 155563200 157432950 157622400 163730268 167928480 181922520 186587200 194050688 201514176 204662835 209910600 218307024 223904640 227403150 236433600 242563360 251892720 272883780 279880800 291076032 303204200 311126400 314865900 327460536 335856960 341104725 363845040 373174400 403028352 409325670 419821200 436614048 454806300 472867200 485126720 503785440 545767560 559761600 582152064 606408400 629731800 654921072 671713920 682209450 727690080 818651340 839642400 873228096 909612600 970253440 1007570880 1023314175 1091535120 1119523200 1212816800 1259463600 1309842144 1364418900 1455380160 1637302680 1679284800 1746456192 1819225200 2015141760 2046628350 2183070240 2425633600 2518927200 2619684288 2728837800 2910760320 3274605360 3358569600 3638450400 4093256700 4366140480 4851267200 5037854400 5239368576 5457675600 6549210720 7276900800 8186513400 8732280960 10075708800 10915351200 13098421440 14553801600 16373026800 21830702400 26196842880 32746053600 43661404800 65492107200 130984214400
- Sum of all divisors σ(n): 519334468800
- Sum of proper divisors (its aliquot sum) s(n): 388350254400
- 130984214400 is an abundant number, because the sum of its proper divisors (388350254400) is greater than itself. Its abundance is 257366040000
Bases of 130984214400
- Binary: 11110011111110100010001111111100000002
- Hexadecimal: 0x1E7F447F80
- Base-36: 1O68MAO0
Squares and roots of 130984214400
- 130984214400 squared (1309842144002) is 17156864421985167360000
- 130984214400 cubed (1309842144003) is 2247278407881037235102121984000000
-
The
square root of 130984214400 is 361917.4137838631 -
The
cube root of 130984214400 is 5078.5490720637
Scales and comparisons
How big is 130984214400?- 130,984,214,400 seconds is equal to 4,164 years, 46 weeks, 3 days.
-
To count from 1 to 130,984,214,400 would take you about eight thousand, three hundred twenty-nine 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 130984214400 cubic inches would be around 423.2 feet tall.
Recreational maths with 130984214400
- 130984214400 backwards is 004412489031
- 130984214400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 130984214400's digits is 36
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 130984214400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 130984214400 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/130984214400/
Chicago style:
Numbermatics. 2024. "Number 130984214400 - Facts about the integer". https://numbermatics.com/n/130984214400/
The information we have on file for 130984214400 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!
Keywords: Divisors of 130984214400, math, Factors of 130984214400, curriculum, school, college, exams, university, Prime factorization of 130984214400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty billion, nine hundred eighty-four million, two hundred fourteen thousand, four hundred.