12320814940800
12,320,814,940,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12320814940800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
12320814940800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 12320814940800:
27 × 3 × 52 × 37 × 61 × 71 × 8009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 37 × 61 × 71 × 8009)See below for interesting mathematical facts about the number 12320814940800 from the Numbermatics database.
Names of 12320814940800
- Cardinal: 12320814940800 can be written as Twelve trillion, three hundred twenty billion, eight hundred fourteen million, nine hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.23208149408 × 1013
Factors of 12320814940800
Divisors of 12320814940800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 61 64 71 74 75 80 96 100 111 120 122 128 142 148 150 160 183 185 192 200 213 222 240 244 284 296 300 305 320 355 366 370 384 400 426 444 480 488 555 568 592 600 610 640 710 732 740 800 852 888 915 925 960 976 1065 1110 1136 1184 1200 1220 1420 1464 1480 1525 1600 1704 1775 1776 1830 1850 1920 1952 2130 2220 2257 2272 2368 2400 2440 2627 2775 2840 2928 2960 3050 3200 3408 3550 3552 3660 3700 3904 4260 4331 4440 4514 4544 4575 4736 4800 4880 5254 5325 5550 5680 5856 5920 6100 6771 6816 7100 7104 7320 7400 7808 7881 8009 8520 8662 8880 9028 9088 9150 9600 9760 10508 10650 11100 11285 11360 11712 11840 12200 12993 13135 13542 13632 14200 14208 14640 14800 15762 16018 17040 17324 17760 18056 18300 19520 21016 21300 21655 22200 22570 22720 23424 23680 24027 24400 25986 26270 27084 27264 28400 29280 29600 31524 32036 33855 34080 34648 35520 36112 36600 39040 39405 40045 42032 42600 43310 44400 45140 45440 48054 48800 51972 52540 54168 56425 56800 58560 59200 63048 64072 64965 65675 67710 68160 69296 71040 72224 73200 78810 80090 84064 85200 86620 88800 90280 96108 97600 103944 105080 108275 108336 112850 113600 117120 118400 120135 126096 128144 129930 131350 135420 136320 138592 144448 146400 157620 160180 160247 168128 169275 170400 173240 177600 180560 192216 195200 197025 200225 207888 210160 216550 216672 225700 227200 240270 252192 256288 259860 262700 270840 277184 288896 292800 296333 315240 320360 320494 324825 336256 338550 340800 346480 355200 361120 384432 394050 400450 415776 420320 433100 433344 451400 480540 480741 488549 504384 512576 519720 525400 541680 554368 568639 585600 592666 600675 630480 640720 640988 649650 677100 681600 692960 722240 768864 788100 800900 801235 831552 840640 866200 866688 888999 902800 961080 961482 977098 1008768 1025152 1039440 1050800 1083360 1137278 1185332 1201350 1260960 1281440 1281976 1299300 1354200 1385920 1444480 1465647 1481665 1537728 1576200 1601800 1602470 1663104 1681280 1705917 1732400 1777998 1805600 1922160 1922964 1954196 2078880 2101600 2166720 2274556 2370664 2402700 2403705 2442745 2521920 2562880 2563952 2598600 2708400 2771840 2843195 2931294 2963330 3075456 3152400 3203600 3204940 3411834 3464800 3555996 3611200 3844320 3845928 3908392 4006175 4157760 4203200 4333440 4444995 4549112 4741328 4805400 4807410 4885490 5043840 5125760 5127904 5197200 5416800 5686390 5862588 5926660 6304800 6407200 6409880 6823668 6929600 7111992 7222400 7328235 7408325 7688640 7691856 7816784 8012350 8315520 8406400 8529585 8889990 9098224 9482656 9610800 9614820 9770980 10255808 10394400 10833600 11372780 11725176 11853320 12018525 12213725 12609600 12814400 12819760 13647336 13859200 14215975 14223984 14656470 14816650 15377280 15383712 15633568 16024700 17059170 17779980 18076313 18196448 18965312 19221600 19229640 19541960 20511616 20788800 21039643 21667200 22224975 22745560 23450352 23706640 24037050 24427450 25219200 25628800 25639520 27294672 28431950 28447968 29312940 29633300 30767424 31267136 32049400 34118340 34686979 35559960 36152626 36392896 36641175 37930624 38443200 38459280 39083920 41577600 42079286 42647925 44449950 45491120 46900704 47413280 48074100 48854900 51279040 54228939 54589344 56863900 56895936 58625880 59266600 61534848 62534272 63118929 64098800 68236680 69373958 71119920 72305252 72785792 73282350 76886400 76918560 78167840 84158572 85295850 88899900 90381565 90982240 93801408 94826560 96148200 97709800 102558080 104060937 105198215 108457878 109178688 113727800 113791872 117251760 118533200 126237858 128197600 136473360 138747916 142239840 144610504 146564700 153837120 156335680 168317144 170591700 173434895 177799800 180763130 181964480 187602816 189653120 192296400 195419600 208121874 210396430 216915756 218357376 227455600 234503520 237066400 252475716 256395200 271144695 272946720 277495832 284479680 289221008 293129400 307674240 312671360 315594645 336634288 341183400 346869790 355599600 361526260 363928960 384592800 390839200 416243748 420792860 433831512 451907825 454911200 469007040 474132800 504951432 512790400 520304685 525991075 542289390 545893440 554991664 568959360 578442016 586258800 631189290 673268576 682366800 693739580 711199200 723052520 769185600 781678400 832487496 841585720 867174475 867663024 903815650 909822400 938014080 948265600 1009902864 1040609370 1051982150 1084578780 1091786880 1109983328 1156884032 1172517600 1262378580 1283418223 1346537152 1355723475 1364733600 1387479160 1422398400 1446105040 1538371200 1563356800 1577973225 1664974992 1683171440 1734348950 1735326048 1807631300 1819644800 2019805728 2081218740 2103964300 2169157560 2219966656 2313768064 2345035200 2524757160 2566836446 2601523425 2693074304 2711446950 2729467200 2774958320 2844796800 2892210080 3155946450 3329949984 3366342880 3468697900 3470652096 3615262600 3850254669 4039611456 4162437480 4207928600 4338315120 4439933312 4690070400 5049514320 5133672892 5203046850 5422893900 5458934400 5549916640 5784420160 6311892900 6417091115 6659899968 6732685760 6937395800 6941304192 7230525200 7700509338 8079222912 8324874960 8415857200 8676630240 10099028640 10267345784 10406093700 10845787800 11099833280 11568840320 12623785800 12834182230 13319799936 13465371520 13874791600 14461050400 15401018676 16649749920 16831714400 17353260480 19251273345 20198057280 20534691568 20812187400 21691575600 22199666560 25247571600 25668364460 27749583200 28922100800 30802037352 32085455575 33299499840 33663428800 34706520960 38502546690 40396114560 41069383136 41624374800 43383151200 50495143200 51336728920 55499166400 57844201600 61604074704 64170911150 66598999680 67326857600 77005093380 82138766272 83248749600 86766302400 96256366725 100990286400 102673457840 110998332800 123208149408 128341822300 154010186760 164277532544 166497499200 173532604800 192512733450 201980572800 205346915680 246416298816 256683644600 308020373520 332994998400 385025466900 410693831360 492832597632 513367289200 616040747040 770050933800 821387662720 1026734578400 1232081494080 1540101867600 2053469156800 2464162988160 3080203735200 4106938313600 6160407470400 12320814940800
- Sum of all divisors σ(n): 42963748358400
- Sum of proper divisors (its aliquot sum) s(n): 30642933417600
- 12320814940800 is an abundant number, because the sum of its proper divisors (30642933417600) is greater than itself. Its abundance is 18322118476800
Bases of 12320814940800
- Binary: 101100110100101010011100110001000010100000002
- Hexadecimal: 0xB34A9CC4280
- Base-36: 4D83R3NUO
Squares and roots of 12320814940800
- 12320814940800 squared (123208149408002) is 151802480805440507504640000
- 12320814940800 cubed (123208149408003) is 1870330273558176622788703037325312000000
-
The
square root of 12320814940800 is 3510101.8419413415 -
The
cube root of 12320814940800 is 23096.5162445601
Scales and comparisons
How big is 12320814940800?- 12,320,814,940,800 seconds is equal to 391,763 years, 41 weeks, 5 days, 18 hours, 40 minutes.
-
To count from 1 to 12,320,814,940,800 would take you about nine hundred seventy-nine thousand, four hundred 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 12320814940800 cubic inches would be around 1924.7 feet tall.
Recreational maths with 12320814940800
- 12320814940800 backwards is 00804941802321
- The number of decimal digits it has is: 14
- The sum of 12320814940800's digits is 42
- More coming soon!
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The information we have on file for 12320814940800 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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