13085646940800
13,085,646,940,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 13085646940800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
13085646940800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13085646940800:
27 × 34 × 52 × 72 × 1013
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 101 × 101 × 101)See below for interesting mathematical facts about the number 13085646940800 from the Numbermatics database.
Names of 13085646940800
- Cardinal: 13085646940800 can be written as Thirteen trillion, eighty-five billion, six hundred forty-six million, nine hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.30856469408 × 1013
Factors of 13085646940800
Divisors of 13085646940800
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 81 84 90 96 98 100 101 105 108 112 120 126 128 135 140 144 147 150 160 162 168 175 180 189 192 196 200 202 210 216 224 225 240 245 252 270 280 288 294 300 303 315 320 324 336 350 360 378 384 392 400 404 405 420 432 441 448 450 480 490 504 505 525 540 560 567 576 588 600 606 630 640 648 672 675 700 707 720 735 756 784 800 808 810 840 864 882 896 900 909 945 960 980 1008 1010 1050 1080 1120 1134 1152 1176 1200 1212 1225 1260 1296 1323 1344 1350 1400 1414 1440 1470 1512 1515 1568 1575 1600 1616 1620 1680 1728 1764 1800 1818 1890 1920 1960 2016 2020 2025 2100 2121 2160 2205 2240 2268 2352 2400 2424 2450 2520 2525 2592 2646 2688 2700 2727 2800 2828 2835 2880 2940 3024 3030 3136 3150 3200 3232 3240 3360 3456 3528 3535 3600 3636 3675 3780 3920 3969 4032 4040 4050 4200 4242 4320 4410 4480 4536 4545 4704 4725 4800 4848 4900 4949 5040 5050 5184 5292 5400 5454 5600 5656 5670 5760 5880 6048 6060 6272 6300 6363 6464 6480 6615 6720 7056 7070 7200 7272 7350 7560 7575 7840 7938 8064 8080 8100 8181 8400 8484 8640 8820 9072 9090 9408 9450 9600 9696 9800 9898 10080 10100 10201 10368 10584 10605 10800 10908 11025 11200 11312 11340 11760 12096 12120 12600 12726 12928 12960 13230 13440 13635 14112 14140 14175 14400 14544 14700 14847 15120 15150 15680 15876 16160 16200 16362 16800 16968 17280 17640 17675 18144 18180 18816 18900 19089 19392 19600 19796 19845 20160 20200 20402 21168 21210 21600 21816 22050 22400 22624 22680 22725 23520 24192 24240 24745 25200 25452 25920 26460 27270 28224 28280 28350 28800 29088 29400 29694 30240 30300 30603 31360 31752 31815 32320 32400 32724 33075 33600 33936 35280 35350 36288 36360 37800 38178 38784 39200 39592 39690 40320 40400 40804 40905 42336 42420 43200 43632 44100 44541 45248 45360 45450 47040 48480 49490 50400 50904 51005 51840 52920 53025 54540 56448 56560 56700 57267 58176 58800 59388 60480 60600 61206 63504 63630 64640 64800 65448 66150 67200 67872 68175 70560 70700 71407 72576 72720 74235 75600 76356 78400 79184 79380 80800 81608 81810 84672 84840 86400 87264 88200 89082 90496 90720 90900 91809 94080 95445 96960 98980 99225 100800 101808 102010 105840 106050 109080 113120 113400 114534 116352 117600 118776 120960 121200 122412 123725 127008 127260 129600 130896 132300 133623 135744 136350 141120 141400 142814 145440 148470 151200 152712 153015 156800 158368 158760 159075 161600 163216 163620 169344 169680 174528 176400 178164 181440 181800 183618 190890 193920 197960 198450 201600 203616 204020 204525 211680 212100 214221 218160 222705 226240 226800 229068 235200 237552 242400 244824 247450 254016 254520 255025 259200 261792 264600 267246 271488 272700 275427 282240 282800 285628 286335 290880 296940 302400 305424 306030 316736 317520 318150 323200 326432 327240 339360 349056 352800 356328 357035 362880 363600 367236 371175 381780 395920 396900 400869 407232 408040 409050 423360 424200 428442 436320 445410 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740347776 741816720 757271235 771195600 778907556 799758400 807755984 809755380 824240800 834543810 863739072 865452840 881366400 890180064 899728200 908725482 923149696 925434720 927270900 959710080 973634445 989088960 1009694980 1012194225 1028260800 1038543408 1079673840 1081816050 1112725080 1153937120 1156793400 1168361334 1186906752 1199637600 1211633976 1233912960 1236361200 1262118725 1282780800 1295608608 1298179260 1322049600 1335270096 1349592300 1363088223 1384724544 1390906350 1439565120 1442421400 1483633440 1514542470 1542391200 1557815112 1599516800 1615511968 1619510760 1622724075 1648481600 1669087620 1727478144 1730905680 1780360128 1799456400 1817450964 1850869440 1854541800 1947268890 1978177920 2019389960 2024388450 2056521600 2077086816 2086359525 2159347680 2163632100 2225450160 2271813705 2307874240 2313586800 2336722668 2399275200 2423267952 2472722400 2524237450 2591217216 2596358520 2644099200 2670540192 2699184600 2726176446 2769449088 2781812700 2879130240 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14395651200 14539607712 14604516675 14836334400 15145424700 15578151120 16155119680 16195107600 16357058676 16690876200 17309056800 17803601280 18174509640 18508694400 18693781344 19386143616 19472688900 20193899600 20446323345 20770868160 21593476800 21809411568 22254501600 22718137050 23078742400 23367226680 24232679520 24925041792 25912172160 25963585200 26705401920 27261764460 29079215424 29209033350 29672668800 30290849400 31156302240 32310239360 32390215200 32714117352 33381752400 34077205575 34618113600 36349019280 37387562688 38945377800 40387799200 40892646690 41541736320 43186953600 43618823136 44509003200 45436274100 46734453360 48465359040 51927170400 53410803840 54523528920 58158430848 58418066700 60581698800 62312604480 64780430400 65428234704 66763504800 68154411150 69236227200 72698038560 74775125376 77890755600 80775598400 81785293380 87237646272 89018006400 90872548200 93468906720 96930718080 102231616725 103854340800 109047057840 116836133400 121163397600 124625208960 129560860800 130856469408 133527009600 136308822300 145396077120 155781511200 161551196800 163570586760 174475292544 181745096400 186937813440 204463233450 207708681600 218094115680 233672266800 242326795200 261712938816 267054019200 272617644600 290792154240 311563022400 327141173520 363490192800 373875626880 408926466900 436188231360 467344533600 484653590400 523425877632 545235289200 623126044800 654282347040 726980385600 817852933800 872376462720 934689067200 1090470578400 1308564694080 1453960771200 1635705867600 1869378134400 2180941156800 2617129388160 3271411735200 4361882313600 6542823470400 13085646940800
- Sum of all divisors σ(n): 56734546954140
- Sum of proper divisors (its aliquot sum) s(n): 43648900013340
- 13085646940800 is an abundant number, because the sum of its proper divisors (43648900013340) is greater than itself. Its abundance is 30563253072540
Bases of 13085646940800
- Binary: 101111100110101111010101011001101010100000002
- Hexadecimal: 0xBE6BD566A80
- Base-36: 4MZGOBS00
Squares and roots of 13085646940800
- 13085646940800 squared (130856469408002) is 171234155859268398704640000
- 13085646940800 cubed (130856469408003) is 2240709707780305916835487098765312000000
-
The
square root of 13085646940800 is 3617408.8711120283 -
The
cube root of 13085646940800 is 23564.8709742897
Scales and comparisons
How big is 13085646940800?- 13,085,646,940,800 seconds is equal to 416,083 years, 5 weeks.
-
To count from 1 to 13,085,646,940,800 would take you about one million, forty thousand, two hundred seven 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 13085646940800 cubic inches would be around 1963.7 feet tall.
Recreational maths with 13085646940800
- 13085646940800 backwards is 00804964658031
- 13085646940800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13085646940800's digits is 54
- More coming soon!
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The information we have on file for 13085646940800 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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