13116684608614400
13,116,684,608,614,400 is an even composite number composed of five prime numbers multiplied together.
13116684608614400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred seventy divisors.
Prime factorization of 13116684608614400:
212 × 52 × 11 × 312 × 594
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 31 × 31 × 59 × 59 × 59 × 59)See below for interesting mathematical facts about the number 13116684608614400 from the Numbermatics database.
Names of 13116684608614400
- Cardinal: 13116684608614400 can be written as Thirteen quadrillion, one hundred sixteen trillion, six hundred eighty-four billion, six hundred eight million, six hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.31166846086144 × 1016
Factors of 13116684608614400
Divisors of 13116684608614400
- Number of divisors d(n): 1170
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 59 62 64 80 88 100 110 118 124 128 155 160 176 200 220 236 248 256 275 295 310 320 341 352 400 440 472 496 512 550 590 620 640 649 682 704 775 800 880 944 961 992 1024 1100 1180 1240 1280 1298 1364 1408 1475 1550 1600 1705 1760 1829 1888 1922 1984 2048 2200 2360 2480 2560 2596 2728 2816 2950 3100 3200 3245 3410 3481 3520 3658 3776 3844 3968 4096 4400 4720 4805 4960 5120 5192 5456 5632 5900 6200 6400 6490 6820 6962 7040 7316 7552 7688 7936 8525 8800 9145 9440 9610 9920 10240 10384 10571 10912 11264 11800 12400 12800 12980 13640 13924 14080 14632 15104 15376 15872 16225 17050 17405 17600 18290 18880 19220 19840 20119 20480 20768 21142 21824 22528 23600 24025 24800 25600 25960 27280 27848 28160 29264 30208 30752 31744 32450 34100 34810 35200 36580 37760 38291 38440 39680 40238 41536 42284 43648 45056 45725 47200 48050 49600 51200 51920 52855 54560 55696 56320 56699 58528 60416 61504 63488 64900 68200 69620 70400 73160 75520 76582 76880 79360 80476 83072 84568 87025 87296 91450 94400 96100 99200 100595 102400 103840 105710 107911 109120 111392 112640 113398 117056 120832 123008 126976 129800 136400 139240 140800 146320 151040 153164 153760 158720 160952 166144 169136 174050 174592 182900 188800 191455 192200 198400 201190 205379 207680 211420 215822 218240 222784 225280 226796 234112 241664 246016 259600 264275 272800 278480 281600 283495 292640 302080 306328 307520 317440 321904 332288 338272 348100 349184 365800 377600 382910 384400 396800 402380 410758 415360 422840 431644 436480 445568 453592 468224 492032 502975 519200 528550 539555 545600 556960 563200 566990 585280 604160 612656 615040 623689 634880 643808 664576 676544 696200 698368 731600 755200 765820 768800 793600 804760 821516 830720 845680 863288 872960 891136 907184 936448 957275 984064 1005950 1026895 1038400 1057100 1079110 1091200 1113920 1126400 1133980 1170560 1187021 1208320 1225312 1230080 1247378 1287616 1329152 1353088 1392400 1396736 1417475 1463200 1510400 1531640 1537600 1587200 1609520 1643032 1661440 1691360 1726576 1745920 1782272 1814368 1872896 1914550 1968128 2011900 2053790 2076800 2114200 2158220 2182400 2227840 2259169 2267960 2341120 2374042 2450624 2460160 2494756 2575232 2658304 2697775 2706176 2784800 2834950 2926400 3020800 3063280 3075200 3118445 3174400 3219040 3286064 3322880 3345241 3382720 3453152 3491840 3564544 3628736 3745792 3829100 3936256 4023800 4107580 4153600 4228400 4316440 4364800 4455680 4518338 4535920 4682240 4748084 4901248 4920320 4989512 5134475 5150464 5395550 5412352 5569600 5669900 5852800 5935105 6041600 6126560 6150400 6236890 6366749 6438080 6572128 6645760 6690482 6765440 6906304 6983680 7129088 7257472 7491584 7658200 8047600 8215160 8307200 8456800 8632880 8729600 8911360 9036676 9071840 9364480 9496168 9802496 9840640 9979024 10268950 10300928 10791100 10824704 11139200 11295845 11339800 11705600 11870210 12117361 12253120 12300800 12473780 12733498 12876160 13144256 13291520 13380964 13530880 13812608 14258176 14514944 15316400 15592225 16095200 16430320 16614400 16726205 16913600 17265760 17459200 17822720 18073352 18143680 18728960 18992336 19604992 19681280 19958048 20537900 20601856 21582200 21649408 22278400 22591690 22679600 23411200 23740420 24234722 24506240 24601600 24947560 25466996 25752320 26288512 26761928 27061760 27625216 29029888 29675525 30632800 31184450 31833745 32190400 32860640 33228800 33452410 33827200 34531520 34918400 35645440 36146704 36287360 36797651 37457920 37984672 39209984 39916096 41075800 41203712 43164400 43298816 44556800 45183380 45359200 46822400 47480840 48469444 49012480 49203200 49895120 50933992 51504640 52577024 53523856 54123520 55250432 56479225 58059776 59351050 60586805 61265600 62368900 63667490 64380800 65721280 66457600 66904820 67654400 69063040 70034239 71290880 72293408 72574720 73595302 75969344 78419968 79832192 82151600 82407424 83631025 86328800 89113600 90366760 90718400 93644800 94961680 96938888 98024960 98406400 99790240 101867984 103009280 105154048 107047712 108247040 110500864 112958450 116119552 118702100 121173610 122531200 124737800 127334980 128761600 131442560 133290971 133809640 135308800 138126080 140068478 144586816 145149440 147190604 151938688 156839936 159168725 159664384 164303200 167262050 172657600 178227200 180733520 181436800 183988255 187289600 189923360 193877776 196049920 197369219 199580480 203735968 206018560 210308096 214095424 216494080 221001728 225916900 232239104 237404200 242347220 245062400 249475600 254669960 257523200 262885120 266581942 267619280 270617600 276252160 280136956 289173632 290298880 294381208 302934025 303877376 318337450 319328768 328606400 334524100 345315200 350171195 356454400 361467040 362873600 367976510 375638191 379846720 387755552 392099840 394738438 399160960 407471936 412037120 420616192 428190848 442003456 451833800 474808400 484694440 490124800 498951200 509339920 515046400 525770240 533163884 535238560 541235200 552504320 560273912 578347264 580597760 588762416 605868050 607754752 636674900 638657536 657212800 666454855 669048200 690630400 700342390 722934080 725747200 735953020 751276382 759693440 775511104 784199680 789476876 798321920 814943872 841232384 856381696 903667600 919941275 949616800 969388880 980249600 986846095 997902400 1018679840 1030092800 1051540480 1066327768 1070477120 1082470400 1105008640 1120547824 1156694528 1161195520 1177524832 1211736100 1215509504 1273349800 1277315072 1314425600 1332909710 1338096400 1381260800 1400684780 1445868160 1451494400 1471906040 1502552764 1519386880 1551022208 1578953752 1596643840 1629887744 1712763392 1750855975 1807335200 1839882550 1878190955 1899233600 1938777760 1960499200 1973692190 1995804800 2037359680 2060185600 2103080960 2132655536 2140954240 2171061409 2210017280 2241095648 2313389056 2355049664 2423472200 2431019008 2546699600 2554630144 2628851200 2665819420 2676192800 2762521600 2801369560 2891736320 2902988800 2943812080 3005105528 3038773760 3102044416 3157907504 3193287680 3259775488 3332274275 3425526784 3501711950 3614670400 3679765100 3756381910 3798467200 3877555520 3920998400 3947384380 3991609600 4074719360 4132020101 4206161920 4265311072 4281908480 4342122818 4482191296 4626778112 4710099328 4846944400 4862038016 4934230475 5093399200 5257702400 5331638840 5352385600 5525043200 5602739120 5783472640 5805977600 5887624160 6010211056 6077547520 6204088832 6315815008 6386575360 6519550976 6664548550 6851053568 7003423900 7229340800 7359530200 7512763820 7596934400 7755111040 7894768760 7983219200 8149438720 8264040202 8530622144 8563816960 8684245636 8964382592 9253556224 9390954775 9420198656 9693888800 9868460950 10186798400 10515404800 10663277680 10704771200 10855307045 11050086400 11205478240 11566945280 11644783921 11775248320 12020422112 12155095040 12408177664 12631630016 12773150720 13039101952 13329097100 13702107136 14006847800 14458681600 14719060400 15025527640 15193868800 15510222080 15789537520 15966438400 16298877440 16528080404 17061244288 17127633920 17368491272 17928765184 18781909550 18840397312 19387777600 19736921900 20373596800 20660100505 21030809600 21326555360 21409542400 21710614090 22410956480 23133890560 23289567842 23550496640 24040844224 24310190080 24816355328 25263260032 26078203904 26658194200 28013695600 28917363200 29438120800 30051055280 30387737600 31020444160 31579075040 31932876800 32597754880 33056160808 34122488576 34255267840 34736982544 35857530368 37563819100 37680794624 38775555200 39473843800 40747193600 41320201010 42653110720 42819084800 43421228180 44821912960 46267781120 46579135684 47100993280 48081688448 49632710656 50526520064 53316388400 54276535225 56027391200 57834726400 58223919605 58876241600 60102110560 60775475200 62040888320 63158150080 63865753600 65195509760 66112321616 68244977152 68510535680 69473965088 71715060736 75127638200 75361589248 77551110400 78947687600 81494387200 82640402020 85306221440 85638169600 86842456360 89643825920 93158271368 94201986560 96163376896 101053040128 103300502525 106632776800 108553070450 112054782400 115669452800 116447839210 117752483200 120204221120 121550950400 124081776640 126316300160 128092623131 130391019520 132224643232 136489954304 138947930176 143430121472 150255276400 150723178496 155102220800 157895375200 162988774400 165280804040 170612442880 171276339200 173684912720 179287651840 186316542736 188403973120 192326753792 202106080256 206601005050 213265553600 217106140900 224109564800 231338905600 232895678420 235504966400 240408442240 248163553280 252632600320 256185246262 264449286464 272979908608 277895860352 286860242944 291119598025 300510552800 310204441600 315790750400 325977548800 330561608080 341224885760 342552678400 347369825440 358575303680 372633085472 376807946240 384653507584 404212160512 413202010100 426531107200 434212281800 448219129600 465791356840 471009932800 480816884480 505265200640 512370492524 528898572928 545959817216 555791720704 582239196050 601021105600 620408883200 631581500800 640463115655 651955097600 661123216160 682449771520 694739650880 717150607360 745266170944 753615892480 769307015168 808424321024 826404020200 853062214400 868424563600 896438259200 931582713680 942019865600 961633768960 1010530401280 1024740985048 1057797145856 1111583441408 1164478392100 1202042211200 1240817766400 1263163001600 1280926231310 1322246432320 1364899543040 1389479301760 1434301214720 1490532341888 1538614030336 1652808040400 1706124428800 1736849127200 1792876518400 1863165427360 1884039731200 1923267537920 2021060802560 2049481970096 2115594291712 2223166882816 2328956784200 2404084422400 2526326003200 2561852462620 2644492864640 2729799086080 2778958603520 2981064683776 3202315578275 3305616080800 3412248857600 3473698254400 3585753036800 3726330854720 3768079462400 3846535075840 4042121605120 4098963940192 4231188583424 4446333765632 4657913568400 4808168844800 5052652006400 5123704925240 5288985729280 5557917207040 5962129367552 6404631156550 6611232161600 6824497715200 6947396508800 7171506073600 7452661709440 7693070151680 8197927880384 8462377166848 8892667531264 9315827136800 9616337689600 10105304012800 10247409850480 10577971458560 11115834414080 11924258735104 12809262313100 13222464323200 13648995430400 13894793017600 14905323418880 16395855760768 16924754333696 18631654273600 19232675379200 20210608025600 20494819700960 21155942917120 22231668828160 23848517470208 25618524626200 26444928646400 27789586035200 29810646837760 32791711521536 37263308547200 38465350758400 40989639401920 42311885834240 44463337656320 47697034940416 51237049252400 52889857292800 55579172070400 59621293675520 65583423043072 74526617094400 81979278803840 84623771668480 102474098504800 105779714585600 111158344140800 119242587351040 131166846086144 149053234188800 163958557607680 204948197009600 211559429171200 222316688281600 238485174702080 262333692172288 298106468377600 327917115215360 409896394019200 423118858342400 524667384344576 596212936755200 655834230430720 819792788038400 1192425873510400 1311668460861440 1639585576076800 2623336921722880 3279171152153600 6558342304307200 13116684608614400
- Sum of all divisors σ(n): 37295907439396716
- Sum of proper divisors (its aliquot sum) s(n): 24179222830782316
- 13116684608614400 is an abundant number, because the sum of its proper divisors (24179222830782316) is greater than itself. Its abundance is 11062538222167916
Bases of 13116684608614400
- Binary: 1011101001100110001110000111101011101000110000000000002
- Hexadecimal: 0x2E998E1EBA3000
- Base-36: 3L5H5Q17I0W
Squares and roots of 13116684608614400
- 13116684608614400 squared (131166846086144002) is 172047415121861895710687887360000
- 13116684608614400 cubed (131166846086144003) is 2256691681880818303620952981951596392873984000000
-
The
square root of 13116684608614400 is 114528095.2806532969 -
The
cube root of 13116684608614400 is 235834.8732895293
Scales and comparisons
How big is 13116684608614400?- 13,116,684,608,614,400 seconds is equal to 417,069,997 years, 51 weeks, 1 day, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 13,116,684,608,614,400 would take you about one billion, two hundred fifty-one million, two hundred nine thousand, nine hundred ninety-three 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 13116684608614400 cubic inches would be around 19652.9 feet tall.
Recreational maths with 13116684608614400
- 13116684608614400 backwards is 00441680648661131
- 13116684608614400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13116684608614400's digits is 59
- More coming soon!
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The information we have on file for 13116684608614400 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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