13425216431200
13,425,216,431,200 is an even composite number composed of eight prime numbers multiplied together.
13425216431200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13425216431200:
25 × 52 × 72 × 17 × 41 × 53 × 73 × 127
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 17 × 41 × 53 × 73 × 127)See below for interesting mathematical facts about the number 13425216431200 from the Numbermatics database.
Names of 13425216431200
- Cardinal: 13425216431200 can be written as Thirteen trillion, four hundred twenty-five billion, two hundred sixteen million, four hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.34252164312 × 1013
Factors of 13425216431200
Divisors of 13425216431200
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 41 49 50 53 56 68 70 73 80 82 85 98 100 106 112 119 127 136 140 146 160 164 170 175 196 200 205 212 224 238 245 254 265 272 280 287 292 328 340 350 365 371 392 400 410 424 425 476 490 508 511 530 544 560 574 584 595 635 656 680 697 700 730 742 784 800 820 833 848 850 889 901 952 980 1016 1022 1025 1060 1120 1148 1168 1190 1225 1241 1270 1312 1325 1360 1394 1400 1435 1460 1484 1568 1640 1666 1696 1700 1778 1802 1825 1855 1904 1960 2009 2032 2044 2050 2120 2159 2173 2296 2336 2380 2450 2482 2540 2555 2597 2650 2720 2788 2800 2870 2920 2968 2975 2993 3175 3280 3332 3400 3485 3556 3577 3604 3650 3710 3808 3869 3920 4018 4064 4088 4100 4165 4240 4318 4346 4445 4505 4592 4760 4879 4900 4964 5080 5110 5194 5207 5300 5576 5600 5740 5840 5936 5950 5986 6205 6223 6307 6350 6560 6664 6731 6800 6970 7112 7154 7175 7208 7300 7420 7738 7840 8036 8176 8200 8330 8480 8636 8687 8692 8890 9010 9184 9271 9275 9520 9758 9800 9928 10045 10160 10220 10388 10414 10600 10795 10865 11152 11480 11680 11872 11900 11972 12410 12446 12614 12700 12775 12985 13328 13462 13600 13940 14224 14308 14350 14416 14600 14840 14965 15113 15211 15476 16072 16352 16400 16660 17272 17374 17384 17425 17780 17885 18020 18542 18550 19040 19345 19516 19600 19856 20090 20320 20440 20776 20825 20828 20951 21200 21590 21730 22225 22304 22525 22960 23800 23944 24395 24820 24892 25228 25400 25550 25970 26035 26656 26924 27083 27880 28448 28616 28700 28832 29200 29680 29930 30226 30422 30952 31025 31115 31535 32144 32800 33320 33655 34153 34544 34748 34768 34850 35560 35770 36040 36449 36941 37084 37100 38690 39032 39200 39712 40180 40880 41552 41650 41656 41902 42400 43180 43435 43460 44149 44450 45050 45920 46355 47117 47600 47888 48790 49640 49784 50225 50456 50800 50881 51100 51940 52070 53848 53975 54166 54325 55760 57232 57400 58400 59360 59860 60452 60809 60844 61904 62050 62230 63070 64288 64897 64925 65773 66640 67310 68306 69088 69496 69536 69700 71120 71540 72080 72898 73882 74168 74200 74825 75565 76055 77380 78064 80360 81760 83104 83300 83312 83804 86360 86870 86920 88298 88519 88900 89425 90100 92710 94234 95200 95776 96725 97580 99280 99568 100450 100912 101600 101762 102200 103880 104140 104755 105791 106477 107696 107950 108332 108650 111520 114427 114464 114800 119720 120904 121618 121688 121975 123808 124100 124460 126140 129794 129850 130175 131546 133280 134620 135415 136612 138992 139400 142240 143080 144160 145796 146657 147764 148336 148400 149650 151130 152110 154760 155575 156128 157607 157675 158629 160720 166600 166624 167608 168275 170765 172720 173740 173840 176596 177038 177800 178850 180200 182245 184705 185420 188468 189581 193450 195160 198560 199136 200900 201824 203524 204400 207760 208280 209510 211582 212954 215392 215900 216664 217175 217300 220745 228854 229600 231775 235585 239440 241808 243236 243376 243950 248200 248920 252280 254405 255143 258587 259588 259700 260350 263092 269240 270830 273224 275971 277984 278800 286160 291592 293314 295528 296672 296800 299300 302260 304045 304220 309520 311150 315214 315350 317258 321440 324485 328865 329819 333200 335216 336550 341530 345440 347480 347680 353192 354076 355600 356167 357700 360400 364490 369410 370840 376936 377825 379162 380111 380275 386900 390320 401800 407048 408800 415520 416560 419020 423164 425908 431800 433328 434350 434600 441490 442595 454279 457708 460411 463550 471170 478880 483616 486472 486752 487900 491363 496400 497840 504560 508810 510286 517174 519176 519400 520700 523775 526184 528955 532385 538480 541660 546448 551942 557600 572135 572320 583184 586628 591056 598600 604520 608090 608440 619040 619633 622300 630428 630700 634516 648970 657730 659638 666400 670432 673100 677075 683060 694960 706384 708152 711200 712334 715400 720800 728980 733285 738820 741680 753872 755650 758324 760222 760550 773800 780640 788035 793145 800989 803600 814096 833120 838040 846328 851816 853825 863600 866656 868700 869200 882980 885190 908558 911225 915416 920822 923525 927100 942340 947905 972944 975800 982726 992800 995680 1009120 1017620 1020572 1034348 1038352 1038800 1041400 1047550 1052368 1057910 1064770 1076960 1083320 1092896 1103249 1103725 1103884 1110403 1144270 1166368 1173256 1177925 1182112 1197200 1209040 1216180 1216880 1239266 1244600 1260856 1261400 1269032 1272025 1275715 1292935 1297940 1315460 1319276 1346200 1354150 1366120 1379855 1389920 1412768 1416304 1424668 1430800 1457960 1466570 1477640 1483360 1507744 1511300 1516648 1520225 1520444 1521100 1547600 1576070 1586290 1601978 1607200 1622425 1628192 1644325 1649095 1676080 1692656 1703632 1707650 1727200 1737400 1738400 1765960 1770380 1780835 1810109 1817116 1822450 1830832 1841644 1847050 1854200 1884680 1895810 1900555 1931797 1945888 1951600 1965452 2035240 2041144 2068696 2076704 2077600 2082800 2095100 2104736 2115820 2129540 2166640 2206498 2207450 2207768 2212975 2220806 2271395 2288540 2302055 2346512 2355850 2394400 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15445486 15454376 15490825 15545642 15723616 15760700 15862900 16019780 16114385 16490950 16706342 16760800 16926560 17036320 17197705 17349724 17651984 17659600 17703800 17766448 17808350 18101090 18171160 18308320 18416440 18625439 18766028 18846800 18876851 18958100 19005550 19317970 19654520 19828256 19945352 20024725 20145883 20352400 20411440 20686960 21158200 21286216 21295400 21573544 21666400 21687155 22064980 22077680 22208060 22427692 22713950 22885400 23020550 23457535 23465120 24076787 24323600 24568150 24785320 24931690 25217120 25380640 25514300 25631648 25783016 25847548 25858700 25958800 26309200 26385520 26607770 26966930 27045158 27322400 27516328 27581225 27597100 27760075 28034615 28493360 28961744 29159200 29331400 29552800 30332960 30408880 30890972 30908752 30981650 31091284 31521400 31725800 32039560 32228770 32309435 32840549 32981900 33412684 34395410 34699448 35303968 35319200 35407600 35532896 35616700 36202180 36342320 36832880 37250878 37532056 37693600 37753702 37916200 38011100 38613715 38635940 38864105 39309040 39890704 40049450 40291766 40704800 40822880 41373920 41765855 42316400 42572432 42590800 43147088 43374310 44129960 44155360 44416120 44855384 45233209 45252725 45427900 45770800 46041100 46915070 48153574 48294925 48647200 49136300 49570640 49863380 51028600 51566032 51695096 51717400 51917600 52618400 52771040 53215540 53933860 54090316 55032656 55162450 55194200 55520150 56069230 56986720 57923488 58472197 58662800 60817760 61781944 61817504 61963300 62182568 62329225 63042800 63451600 64079120 64457540 64618870 65681098 65963800 66519425 66825368 67417325 67612895 68790820 69398896 70815200 71233400 72404360 72684640 73665760 74501756 75064112 75507404 75832400 76022200 77227430 77271880 77728210 78618080 79781408 80098900 80571925 80583532 83531710 84632800 85144864 85181600 85988525 86294176 86748620 88259920 88832240 89710768 90466418 90505450 90855800 91541600 92082200 93127195 93830140 94384255 96307148 96589850 98272600 99141280 99726760 100729415 102057200 103132064 103390192 103434800 106431080 107867720 108180632 108435775 110065312 110324900 110388400 111040300 112138460 116944394 117287675 117325600 120383935 123563888 123926600 124365136 124658450 126085600 126903200 128158240 128915080 129237740 131362196 131927600 132137957 133038850 133650736 134834650 135225790 137581640 138797792 140173075 141021181 142466800 144808720 149003512 150128224 151014808 151664800 152044400 154454860 154543760 155456420 160197800 161143850 161167064 161547175 164202745 167063420 171977050 173497240 176519840 177664480 179421536 180932836 181010900 181711600 184164400 186254390 187660280 188768510 192614296 193068575 193179700 194320525 196545200 199453520 201458830 204114400 206780384 206869600 208829275 212862160 215735440 216361264 216871550 220649800 220776800 222080600 224276920 226166045 229883843 233888788 234575350 240767870 247127776 247853200 248730272 249316900 257830160 258475480 262724392 263855200 264275914 266077700 267301472 269669300 270451580 275163280 280346150 282042362 284933600 289617440 292360985 298007024 302029616 304088800 308909720 309087520 310912840 316632463 320395600 322287700 322334128 323094350 328405490 334126840 338064475 342480011 343954100 346994480 361865672 362021800 363423200 368328800 372508780 375320560 377537020 385228592 386137150 386359400 388641050 393090400 398907040 402917660 409305379 417658550 425724320 431470880 432722528 433743100 441299600 444161200 448553840 452332090 459767686 465635975 467777576 469150700 471921275 481535740 495706400 498633800 503647075 515660320 516950960 525448784 528551828 532155400 539338600 540903160 550326560 560692300 564084724 584721970 596014048 601919675 604059232 617819440 621825680 633264926 640791200 644575400 644668256 646188700 656810980 660689785 668253680 676128950 684960022 687908200 693988960 705105905 723731344 724043600 745017560 750641120 755074040 770457184 772274300 772718800 777282100 805835320 818610758 821013725 835317100 867486200 882599200 888322400 897107680 904664180 919535372 931271950 935555152 938301400 943842550 963071480 987148267 997267600 1007294150 1033901920 1050897568 1057103656 1064310800 1078677200 1081806320 1121384600 1128169448 1130830225 1149419215 1169443940 1203839350 1235638880 1243651360 1266529852 1289150800 1292377400 1313621960 1321379570 1336507360 1352257900 1369920044 1375816400 1410211810 1447462688 1448087200 1461804925 1490035120 1510148080 1544548600 1545437600 1554564200 1583162315 1611670640 1637221516 1642027450 1670634200 1712400055 1734972400 1809328360 1839070744 1862543900 1871110304 1876602800 1887685100 1926142960 1974296534 1994535200 2014588300 2046526895 2114207312 2128621600 2157354400 2163612640 2242769200 2256338896 2261660450 2298838430 2338887880 2397360077 2407678700 2533059704 2578301600 2584754800 2627243920 2642759140 2704515800 2739840088 2751632800 2820423620 2923609850 2980070240 3020296160 3089097200 3109128400 3166324630 3223341280 3274443032 3284054900 3303448925 3341268400 3424800110 3469944800 3525529525 3618656720 3678141488 3725087800 3753205600 3775370200 3852285920 3948593068 4029176600 4093053790 4228414624 4485538400 4512677792 4523320900 4597676860 4677775760 4794720154 4815357400 4935741335 5066119408 5169509600 5254487840 5285518280 5409031600 5479680176 5640847240 5747096075 5847219700 6178194400 6218256800 6332649260 6548886064 6568109800 6606897850 6682536800 6849600220 7051059050 7237313440 7356282976 7450175600 7550740400 7897186136 7915811575 8058353200 8186107580 8562000275 9046641800 9195353720 9355551520 9589440308 9630714800 9871482670 10132238816 10232634475 10571036560 10818063200 10959360352 11281694480 11494192150 11694439400 11986800385 12665298520 13097772128 13136219600 13213795700 13699200440 14102118100 14900351200 15101480800 15794372272 15831623150 16116706400 16372215160 16781520539 17124000550 18093283600 18390707440 19178880616 19261429600 19742965340 20465268950 21142073120 22563388960 22988384300 23388878800 23973600770 24678706675 25330597040 26272439200 26427591400 27398400880 28204236200 31588744544 31663246300 32744430320 33563041078 34248001100 36186567200 36781414880 38357761232 39485930680 40930537900 45976768600 46777757600 47947201540 49357413350 50661194080 52855182800 54796801760 56408472400 59934001925 63326492600 65488860640 67126082156 68496002200 76715522464 78971861360 81861075800 83907602695 91953537200 95894403080 98714826700 105710365600 112816944800 119868003850 126652985200 134252164312 136992004400 157943722720 163722151600 167815205390 183907074400 191788806160 197429653400 239736007700 253305970400 268504328624 273984008800 327444303200 335630410780 383577612320 394859306800 419538013475 479472015400 537008657248 671260821560 789718613600 839076026950 958944030800 1342521643120 1678152053900 1917888061600 2685043286240 3356304107800 6712608215600 13425216431200
- Sum of all divisors σ(n): 43046152869888
- Sum of proper divisors (its aliquot sum) s(n): 29620936438688
- 13425216431200 is an abundant number, because the sum of its proper divisors (29620936438688) is greater than itself. Its abundance is 16195720007488
Bases of 13425216431200
- Binary: 110000110101110011010100000110100100011000002
- Hexadecimal: 0xC35CD41A460
- Base-36: 4RBGJ8FOG
Squares and roots of 13425216431200
- 13425216431200 squared (134252164312002) is 180236436224562464333440000
- 13425216431200 cubed (134252164312003) is 2419713165102926889200062643619328000000
-
The
square root of 13425216431200 is 3664043.7267041453 -
The
cube root of 13425216431200 is 23766.9671148457
Scales and comparisons
How big is 13425216431200?- 13,425,216,431,200 seconds is equal to 426,880 years, 18 weeks, 3 days, 10 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,425,216,431,200 would take you about one million, sixty-seven thousand, two hundred 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 13425216431200 cubic inches would be around 1980.6 feet tall.
Recreational maths with 13425216431200
- 13425216431200 backwards is 00213461252431
- 13425216431200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13425216431200's digits is 34
- More coming soon!
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"Number 13425216431200 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 13425216431200 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/13425216431200/
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The information we have on file for 13425216431200 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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