3413792428800
3,413,792,428,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 3413792428800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
3413792428800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 3413792428800:
28 × 3 × 52 × 132 × 432 × 569
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 43 × 43 × 569)See below for interesting mathematical facts about the number 3413792428800 from the Numbermatics database.
Names of 3413792428800
- Cardinal: 3413792428800 can be written as Three trillion, four hundred thirteen billion, seven hundred ninety-two million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 3.4137924288 × 1012
Factors of 3413792428800
Divisors of 3413792428800
- Number of divisors d(n): 972
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 43 48 50 52 60 64 65 75 78 80 86 96 100 104 120 128 129 130 150 156 160 169 172 192 195 200 208 215 240 256 258 260 300 312 320 325 338 344 384 390 400 416 430 480 507 516 520 559 569 600 624 640 645 650 676 688 768 780 800 832 845 860 960 975 1014 1032 1040 1075 1118 1138 1200 1248 1280 1290 1300 1352 1376 1560 1600 1664 1677 1690 1707 1720 1849 1920 1950 2028 2064 2080 2150 2236 2276 2400 2496 2535 2580 2600 2704 2752 2795 2845 3120 3200 3225 3328 3354 3380 3414 3440 3698 3840 3900 4056 4128 4160 4225 4300 4472 4552 4800 4992 5070 5160 5200 5408 5504 5547 5590 5690 6240 6400 6450 6708 6760 6828 6880 7267 7396 7397 7800 8112 8256 8320 8385 8450 8535 8600 8944 9104 9245 9600 9984 10140 10320 10400 10816 11008 11094 11180 11380 12480 12675 12900 13416 13520 13656 13760 13975 14225 14534 14792 14794 15600 16224 16512 16640 16770 16900 17070 17200 17888 18208 18490 19200 20280 20640 20800 21632 21801 22188 22191 22360 22760 24037 24467 24960 25350 25800 26832 27040 27312 27520 27735 27950 28450 29068 29584 29588 31200 32448 33024 33540 33800 34140 34400 35776 36335 36416 36980 36985 40560 41280 41600 41925 42675 43264 43602 44376 44382 44720 45520 46225 48074 48934 49920 50700 51600 53664 54080 54624 55040 55470 55900 56900 58136 59168 59176 62400 64896 67080 67600 68280 68800 71552 72111 72670 72832 73401 73960 73970 81120 82560 83200 83850 85350 87204 88752 88764 89440 91040 92450 96148 96161 97868 101400 103200 107328 108160 109005 109248 110940 110955 111800 113800 116272 118336 118352 120185 122335 124800 129792 134160 135200 136560 137600 138675 143104 144222 145340 145664 146802 147920 147940 162240 165120 167700 170700 174408 177504 177528 178880 181675 182080 184900 184925 192296 192322 195736 202800 206400 214656 216320 218010 218496 221880 221910 223600 227600 232544 236672 236704 240370 244670 249600 268320 270400 273120 275200 277350 288444 288483 290680 293604 295840 295880 312481 318071 324480 335400 341400 348816 355008 355056 357760 360555 363350 364160 367005 369800 369850 384592 384644 391472 405600 412800 429312 436020 436992 443760 443820 447200 455200 465088 473344 473408 480740 480805 489340 536640 540800 545025 546240 554700 554775 576888 576966 581360 587208 591680 591760 600925 611675 624962 636142 648960 670800 682800 697632 710016 710112 715520 721110 726700 728320 734010 739600 739700 769184 769288 782944 811200 825600 872040 887520 887640 894400 910400 930176 937443 946816 954213 961480 961610 978680 1052081 1073280 1081600 1090050 1092480 1109400 1109550 1153776 1153932 1162720 1174416 1183360 1183520 1201850 1223350 1249924 1272284 1341600 1365600 1395264 1420032 1420224 1442220 1442415 1453400 1468020 1479200 1479400 1538368 1538576 1562405 1565888 1590355 1622400 1744080 1775040 1775280 1788800 1802775 1820800 1835025 1860352 1874886 1893632 1908426 1922960 1923220 1957360 2104162 2146560 2180100 2184960 2218800 2219100 2307552 2307864 2325440 2348832 2366720 2367040 2403700 2404025 2446700 2499848 2544568 2683200 2731200 2790528 2840448 2884440 2884830 2906800 2936040 2958400 2958800 3076736 3077152 3124810 3131776 3156243 3180710 3244800 3488160 3550080 3550560 3577600 3605550 3641600 3670050 3749772 3816852 3845920 3846440 3914720 4134923 4208324 4360200 4437600 4438200 4615104 4615728 4650880 4687215 4697664 4734080 4771065 4807400 4808050 4893400 4999696 5089136 5260405 5366400 5462400 5581056 5680896 5768880 5769660 5813600 5872080 5916800 5917600 6153472 6154304 6249620 6263552 6312486 6361420 6976320 7100160 7101120 7211100 7212075 7340100 7499544 7633704 7691840 7692880 7812025 7829440 7951775 8269846 8416648 8720400 8875200 8876400 9230208 9231456 9301760 9374430 9395328 9468160 9542130 9614800 9616100 9786800 9999392 10178272 10520810 10732800 10924800 11537760 11539320 11627200 11744160 11833600 11835200 12308608 12404769 12499240 12624972 12722840 13677053 13952640 14202240 14422200 14424150 14680200 14999088 15267408 15383680 15385760 15624050 15658880 15781215 15903550 16539692 16833296 17440800 17750400 17752800 18460416 18462912 18748860 18790656 19084260 19229600 19232200 19573600 19998784 20356544 20674615 21041620 23075520 23078640 23254400 23436075 23488320 23670400 23855325 24617216 24809538 24998480 25249944 25445680 26302025 27354106 27905280 28404480 28844400 28848300 29360400 29998176 30534816 30767360 30771520 31248100 31317760 31562430 31807100 33079384 33666592 34881600 35500800 35505600 36925824 37497720 38168520 38459200 38464400 39147200 39997568 40713088 41031159 41349230 42083240 46151040 46157280 46508800 46872150 46976640 47340800 47710650 49619076 49996960 50499888 50891360 52604050 54708212 57688800 57696600 58720800 59996352 61069632 61543040 62023845 62496200 63124860 63614200 66158768 67333184 68385265 69763200 71011200 73851648 74995440 76337040 76918400 76928800 78294400 78906075 79995136 81426176 82062318 82698460 84166480 92302080 92314560 93744300 93953280 95421300 99238152 99993920 100999776 101782720 103373075 105208100 109416424 115377600 115393200 117441600 119992704 122139264 123086080 124047690 124992400 126249720 127228400 132317536 134666368 136770530 139526400 142022400 149990880 152674080 153836800 153857600 156588800 157812150 164124636 165396920 168332960 177801689 184629120 187488600 190842600 198476304 199987840 201999552 203565440 205155795 206746150 210416200 218832848 230755200 230786400 234883200 239985408 244278528 248095380 249984800 252499440 254456800 264635072 269332736 273541060 299981760 305348160 307715200 310119225 315624300 328249272 330793840 336665920 341926325 355603378 369258240 374977200 381685200 396952608 399975680 403999104 407130880 410311590 413492300 420832400 437665696 461510400 461572800 469766400 496190760 499969600 504998880 508913600 529270144 533405067 547082120 599963520 610696320 615430400 620238450 631248600 656498544 661587680 673331840 683852650 711206756 749954400 763370400 793905216 807998208 820623180 826984600 841664800 875331392 889008445 923145600 992381520 999939200 1009997760 1017827200 1025778975 1058540288 1066810134 1094164240 1199927040 1221392640 1240476900 1262497200 1312997088 1323175360 1346663680 1367705300 1422413512 1499908800 1526740800 1587810432 1641246360 1653969200 1683329600 1750662784 1778016890 1846291200 1984763040 1999878400 2019995520 2035654400 2051557950 2133620268 2188328480 2480953800 2524994400 2625994176 2646350720 2667025335 2735410600 2844827024 2999817600 3053481600 3175620864 3282492720 3307938400 3366659200 3501325568 3556033780 3969526080 4039991040 4103115900 4267240536 4376656960 4445042225 4961907600 5049988800 5251988352 5292701440 5334050670 5470821200 5689654048 5999635200 6106963200 6564985440 6615876800 6733318400 7112067560 7939052160 8206231800 8534481072 8753313920 8890084450 9923815200 10099977600 10503976704 10668101340 10941642400 11379308096 13129970880 13231753600 13335126675 14224135120 15878104320 16412463600 17068962144 17506627840 17780168900 19847630400 20199955200 21336202680 21883284800 22758616192 26259941760 26463507200 26670253350 28448270240 32824927200 34137924288 35560337800 39695260800 42672405360 43766569600 45517232384 52519883520 53340506700 56896540480 65649854400 68275848576 71120675600 79390521600 85344810720 87533139200 106681013400 113793080960 131299708800 136551697152 142241351200 170689621440 213362026800 227586161920 262599417600 284482702400 341379242880 426724053600 568965404800 682758485760 853448107200 1137930809600 1706896214400 3413792428800
- Sum of all divisors σ(n): 12511781304120
- Sum of proper divisors (its aliquot sum) s(n): 9097988875320
- 3413792428800 is an abundant number, because the sum of its proper divisors (9097988875320) is greater than itself. Its abundance is 5684196446520
Bases of 3413792428800
- Binary: 1100011010110101011110001010010011000000002
- Hexadecimal: 0x31AD5E29300
- Base-36: 17K9VVCAO
Squares and roots of 3413792428800
- 3413792428800 squared (34137924288002) is 11653978746932203069440000
- 3413792428800 cubed (34137924288003) is 39784264411673266065358392655872000000
-
The
square root of 3413792428800 is 1847645.1035845603 -
The
cube root of 3413792428800 is 15057.2514714827
Scales and comparisons
How big is 3413792428800?- 3,413,792,428,800 seconds is equal to 108,548 years, 2 weeks, 10 hours, 40 minutes.
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To count from 1 to 3,413,792,428,800 would take you about two hundred seventy-one thousand, three hundred seventy 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 3413792428800 cubic inches would be around 1254.8 feet tall.
Recreational maths with 3413792428800
- 3413792428800 backwards is 0088242973143
- The number of decimal digits it has is: 13
- The sum of 3413792428800's digits is 51
- More coming soon!
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The information we have on file for 3413792428800 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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