12820825971200
12,820,825,971,200 is an even composite number composed of six prime numbers multiplied together.
12820825971200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 12820825971200:
29 × 52 × 13 × 17 × 1272 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 127 × 127 × 281)See below for interesting mathematical facts about the number 12820825971200 from the Numbermatics database.
Names of 12820825971200
- Cardinal: 12820825971200 can be written as Twelve trillion, eight hundred twenty billion, eight hundred twenty-five million, nine hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.28208259712 × 1013
Factors of 12820825971200
Divisors of 12820825971200
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 64 65 68 80 85 100 104 127 128 130 136 160 170 200 208 221 254 256 260 272 281 320 325 340 400 416 425 442 508 512 520 544 562 635 640 650 680 800 832 850 884 1016 1040 1088 1105 1124 1270 1280 1300 1360 1405 1600 1651 1664 1700 1768 2032 2080 2159 2176 2210 2248 2540 2560 2600 2720 2810 3175 3200 3302 3328 3400 3536 3653 4064 4160 4318 4352 4420 4496 4777 5080 5200 5440 5525 5620 6350 6400 6604 6656 6800 7025 7072 7306 8128 8255 8320 8636 8704 8840 8992 9554 10160 10400 10795 10880 11050 11240 12700 12800 13208 13600 14050 14144 14612 16129 16256 16510 16640 17272 17680 17984 18265 19108 20320 20800 21590 21760 22100 22480 23885 25400 26416 27200 28067 28100 28288 29224 32258 32512 33020 33280 34544 35360 35687 35968 36530 38216 40640 41275 41600 43180 43520 44200 44960 47770 50800 52832 53975 54400 56134 56200 56576 58448 62101 64516 65024 66040 69088 70720 71374 71936 73060 76432 80645 81280 82550 83200 86360 88400 89920 91325 95540 101600 105664 107950 108800 112268 112400 113152 116896 119425 124202 129032 132080 138176 140335 141440 142748 143872 146120 152864 161290 162560 165100 166400 172720 176800 178435 179840 182650 191080 203200 209677 211328 215900 217600 224536 224800 233792 238850 248404 258064 264160 274193 276352 280670 282880 285496 292240 305728 310505 322580 325120 330200 345440 353600 356870 359680 365300 382160 403225 406400 419354 422656 431800 449072 449600 463931 467584 477700 496808 516128 528320 548386 552704 561340 565760 570992 584480 606679 611456 621010 645160 660400 690880 701675 707200 713740 719360 730600 764320 806450 812800 838708 845312 863600 892175 898144 899200 927862 935168 955400 993616 1032256 1048385 1056640 1096772 1105408 1122680 1141984 1168960 1213358 1222912 1242020 1290320 1320800 1370965 1381760 1403350 1414400 1427480 1461200 1528640 1552525 1612900 1625600 1677416 1727200 1784350 1796288 1798400 1855724 1870336 1910800 1987232 2064512 2096770 2113280 2193544 2245360 2283968 2319655 2337920 2426716 2445824 2484040 2580640 2641600 2741930 2763520 2806700 2828800 2854960 2922400 3033395 3057280 3105050 3225800 3354832 3454400 3564509 3568700 3592576 3596800 3711448 3821600 3974464 4129024 4193540 4226560 4387088 4490720 4532249 4567936 4639310 4675840 4853432 4968080 5161280 5241925 5283200 5483860 5527040 5613400 5709920 5844800 6066790 6114560 6210100 6451600 6709664 6854825 6908800 7129018 7137400 7185152 7422896 7643200 7886827 7948928 8258048 8387080 8774176 8981440 9064498 9135872 9278620 9351680 9706864 9936160 10322560 10483850 10566400 10967720 11226800 11419840 11598275 11689600 12133580 12229120 12420200 12903200 13419328 13709650 13817600 14258036 14274800 14370304 14845792 15166975 15286400 15773654 15897856 16774160 17548352 17822545 17962880 18128996 18271744 18557240 19413728 19872320 20645120 20967700 21132800 21935440 22453600 22661245 22839680 23196550 23379200 24267160 24840400 25806400 26838656 27419300 27635200 28516072 28549600 29691584 30333950 30572800 31547308 31795712 33548320 35096704 35645090 35925760 36257992 37114480 38827456 39434135 39744640 41290240 41935400 43870880 44907200 45322490 45679360 46393100 46758400 48534320 49680800 51612800 53677312 54838600 57032144 57099200 58919237 59383168 60667900 61145600 63094616 67096640 70193408 71290180 71851520 72515984 74228960 77048233 77654912 78868270 79489280 83870800 87741760 89112725 89814400 90644980 91358720 92786200 97068640 99361600 103225600 107354624 109677200 113306225 114064288 114198400 117838474 118766336 121335800 126189232 134193280 140386816 142580360 145031968 148457920 154096466 155309824 157736540 158978560 167741600 175483520 178225450 179628800 181289960 185572400 194137280 197170675 198723200 206451200 219354400 226612450 228128576 228396800 235676948 237532672 242671600 252378464 268386560 285160720 290063936 294596185 296915840 308192932 310619648 315473080 335483200 350967040 356450900 359257600 362579920 371144800 385241165 388274560 394341350 397446400 438708800 453224900 456257152 456793600 471353896 485343200 504756928 536773120 570321440 580127872 589192370 593831680 616385864 630946160 670966400 701934080 712901800 725159840 742289600 770482330 776549120 788682700 794892800 877417600 906449800 912514304 942707792 970686400 1001627029 1009513856 1140642880 1160255744 1178384740 1187663360 1232771728 1261892320 1341932800 1425803600 1450319680 1472980925 1484579200 1540964660 1553098240 1577365400 1754835200 1812899600 1825028608 1885415584 1926205825 1941372800 2003254058 2019027712 2281285760 2320511488 2356769480 2465543456 2523784640 2683865600 2851607200 2900639360 2945961850 2969158400 3081929320 3154730800 3509670400 3625799200 3770831168 3852411650 3882745600 4006508116 4038055424 4562571520 4713538960 4931086912 5008135145 5047569280 5703214400 5801278720 5891923700 5938316800 6163858640 6309461600 7251598400 7541662336 7704823300 7765491200 8013016232 9125143040 9427077920 9862173824 10016270290 10095138560 11406428800 11602557440 11783847400 12327717280 12618923200 14503196800 15083324672 15409646600 16026032464 18854155840 19724347648 20032540580 20190277120 22812857600 23567694800 24655434560 25040675725 25237846400 29006393600 30166649344 30819293200 32052064928 37708311680 39448695296 40065081160 45625715200 47135389600 49310869120 50081351450 50475692800 58012787200 61638586400 64104129856 75416623360 80130162320 94270779200 98621738240 100162702900 100951385600 123277172800 128208259712 150833246720 160260324640 188541558400 197243476480 200325405800 246554345600 256416519424 320520649280 377083116800 400650811600 493108691200 512833038848 641041298560 754166233600 801301623200 986217382400 1282082597120 1602603246400 2564165194240 3205206492800 6410412985600 12820825971200
- Sum of all divisors σ(n): 36637630838424
- Sum of proper divisors (its aliquot sum) s(n): 23816804867224
- 12820825971200 is an abundant number, because the sum of its proper divisors (23816804867224) is greater than itself. Its abundance is 10995978896024
Bases of 12820825971200
- Binary: 101110101001000101001100011100011010000000002
- Hexadecimal: 0xBA914C71A00
- Base-36: 4JLT0RC3K
Squares and roots of 12820825971200
- 12820825971200 squared (128208259712002) is 164373578583796423229440000
- 12820825971200 cubed (128208259712003) is 2107405045286221298433671328432128000000
-
The
square root of 12820825971200 is 3580618.0990437949 -
The
cube root of 12820825971200 is 23404.8215958637
Scales and comparisons
How big is 12820825971200?- 12,820,825,971,200 seconds is equal to 407,662 years, 31 weeks, 4 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 12,820,825,971,200 would take you about one million, nineteen thousand, one hundred fifty-six 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 12820825971200 cubic inches would be around 1950.4 feet tall.
Recreational maths with 12820825971200
- 12820825971200 backwards is 00217952802821
- The number of decimal digits it has is: 14
- The sum of 12820825971200's digits is 47
- More coming soon!
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