13034978916100400
13,034,978,916,100,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 13034978916100400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 900 divisors.
13034978916100400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 13034978916100400:
24 × 52 × 74 × 59 × 241 × 9772
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 59 × 241 × 977 × 977)See below for interesting mathematical facts about the number 13034978916100400 from the Numbermatics database.
Names of 13034978916100400
- Cardinal: 13034978916100400 can be written as Thirteen quadrillion, thirty-four trillion, nine hundred seventy-eight billion, nine hundred sixteen million, one hundred thousand, four hundred.
Scientific notation
- Scientific notation: 1.30349789161004 × 1016
Factors of 13034978916100400
Divisors of 13034978916100400
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 59 70 80 98 100 112 118 140 175 196 200 236 241 245 280 295 343 350 392 400 413 472 482 490 560 590 686 700 784 826 944 964 977 980 1180 1205 1225 1372 1400 1475 1652 1687 1715 1928 1954 1960 2065 2360 2401 2410 2450 2744 2800 2891 2950 3304 3374 3430 3856 3908 3920 4130 4720 4802 4820 4885 4900 5488 5782 5900 6025 6608 6748 6839 6860 7816 8260 8435 8575 9604 9640 9770 9800 10325 11564 11800 11809 12005 12050 13496 13678 13720 14219 14455 15632 16520 16870 17150 19208 19280 19540 19600 20237 20650 23128 23600 23618 24010 24100 24425 26992 27356 27440 28438 28910 33040 33740 34195 34300 38416 39080 40474 41300 42175 46256 47236 47873 48020 48200 48850 54712 56876 57643 57820 59045 60025 67480 68390 68600 71095 72275 78160 80948 82600 82663 84350 94472 95746 96040 96400 97700 99533 101185 109424 113752 115286 115640 118090 120050 134960 136780 137200 141659 142190 144550 161896 165200 165326 168700 170975 188944 191492 192080 195400 199066 202370 227504 230572 231280 235457 236180 239365 240100 273560 283318 284380 288215 289100 295225 323792 330652 335111 337400 341950 355475 382984 390800 398132 403501 404740 413315 461144 470914 472360 478730 480200 497665 505925 547120 566636 568760 576430 578200 578641 590450 661304 670222 674800 683900 696731 708295 710950 765968 796264 807002 809480 826630 922288 941828 944720 954529 957460 960400 995330 1011850 1133272 1137520 1152860 1156400 1157282 1177285 1180900 1196825 1322608 1340444 1367800 1393462 1416590 1421900 1441075 1592528 1614004 1618960 1648199 1653260 1675555 1883656 1909058 1914920 1990660 2017505 2023700 2066575 2266544 2305720 2314564 2345777 2354570 2361800 2393650 2488325 2680888 2735600 2786924 2824507 2833180 2843800 2882150 2893205 3228008 3296398 3306520 3351110 3483655 3541475 3767312 3818116 3829840 3981320 4035010 4047400 4133150 4611440 4629128 4691554 4709140 4723600 4772645 4787300 4877117 4976650 5361776 5573848 5649014 5666360 5687600 5764300 5786410 5886425 6456016 6592796 6613040 6681703 6702220 6967310 7082950 7636232 7962640 8070020 8094800 8240995 8266300 8377775 9258256 9383108 9418280 9545290 9574600 9754234 9953300 10087525 11147696 11298028 11332720 11528600 11537393 11572820 11728885 11772850 13185592 13363406 13404440 13891963 13934620 14122535 14165900 14466025 15272464 16140040 16481990 16532600 16755550 17418275 18766216 18836560 19090580 19149200 19508468 19771549 19906600 20175050 22596056 23057200 23074786 23145640 23457770 23545700 23863225 24385585 26371184 26726812 26808880 27783926 27869240 28245070 28331800 28932050 32280080 32963980 33065200 33408515 33511100 34139819 34836550 37532432 38181160 39016936 39543098 39813200 40350100 41204975 45192112 46149572 46291280 46771921 46915540 47091400 47726450 48771170 53453624 55567852 55738480 56317211 56490140 56663600 57686965 57864100 58644425 65927960 66817030 67022200 68279638 69459815 69673100 70612675 76362320 78033872 79086196 80700200 80761751 82409950 92299144 93543842 93831080 94182800 95452900 97243741 97542340 98857745 106907248 111135704 112634422 112980280 115373930 115728200 117288850 121927925 131855920 133634060 134044400 136559276 138400843 138919630 139346200 141225350 158172392 161400400 161523502 164819900 167042575 170699095 184598288 187087684 187662160 190905800 194487482 195084680 197715490 222271408 225268844 225960560 230041489 230747860 231456400 233859605 234577700 243855850 267268120 273118552 276801686 277839260 278692400 281586055 282450700 288434825 316344784 323047004 327403447 329639800 334085150 341398190 347299075 374175368 381811600 388974964 390169360 394220477 395430980 403808755 450537688 460082978 461495720 467719210 469155400 486218705 487711700 494288725 534536240 546237104 553603372 555678520 563172110 564901400 565332257 576869650 646094008 654806894 659279600 668170300 680706187 682796380 692004215 694598150 748350736 777949928 788440954 790861960 807617510 853495475 901075376 920165956 922991440 935438420 938310800 972437410 975423400 988577450 1107206744 1111357040 1126344220 1129802800 1130664514 1150207445 1153739300 1169298025 1292188016 1309613788 1336340600 1361412374 1365592760 1384008430 1389196300 1407930275 1555899856 1576881908 1581723920 1610290423 1615235020 1637017235 1706990950 1840331912 1870876840 1944874820 1950846800 1971102385 1977154900 2019043775 2214413488 2252688440 2261329028 2291824129 2300414890 2307478600 2338596050 2431093525 2619227576 2672681200 2722824748 2731185520 2759543339 2768016860 2778392600 2815860550 2826661285 3153763816 3220580846 3230470040 3274034470 3403530935 3413981900 3460021075 3680663824 3741753680 3889749640 3942204770 3954309800 4038087550 4505376880 4522658056 4583648258 4600829780 4614957200 4677192100 4764943309 4862187050 5238455152 5445649496 5519086678 5536033720 5556785200 5631721100 5653322570 5751037225 6307527632 6441161692 6460940080 6548068940 6807061870 6827963800 6920042150 7779499280 7884409540 7908619600 8051452115 8076175100 8185086175 9045316112 9167296516 9201659560 9354384200 9529886618 9724374100 9855511925 10891298992 11038173356 11072067440 11263442200 11272032961 11306645140 11459120645 11502074450 12882323384 13096137880 13572447851 13614123740 13655927600 13797716695 13840084300 14133306425 15768819080 16102904230 16152350200 16370172350 17017654675 18334593032 18403319120 18708768400 19059773236 19316803373 19448748200 19711023850 22076346712 22526884400 22544065922 22613290280 22918241290 23004148900 23824716545 25764646768 26192275760 27144895702 27228247480 27595433390 27680168600 28266612850 31537638160 32205808460 32304700400 32740344700 33354603163 34035309350 36669186064 38119546472 38633606746 38897496400 39422047700 40257260575 44152693424 45088131844 45226580560 45836482580 46008297800 47649433090 54289791404 54456494960 55190866780 55360337200 56360164805 56533225700 57295603225 64411616920 65480689400 66709206326 67862239255 68070618700 68988583475 76239092944 77267213492 78844095400 78904230727 80514521150 90176263688 91672965160 92016595600 95007134957 95298866180 96584016865 108579582808 110381733560 112720329610 113066451400 114591206450 119123582725 128823233840 130961378800 133418412652 135217623611 135724478510 136141237400 137977166950 154534426984 157688190800 157808461454 161029042300 166773015815 180352527376 183345930320 190014269914 190597732360 193168033730 217159165616 220763467120 225440659220 226132902800 229182412900 238247165450 266836825304 270435247222 271448957020 272282474800 275954333900 281800824025 309068853968 315616922908 322058084600 333546031630 339311196275 380028539828 381195464720 386336067460 394521153635 450881318440 458364825800 475035674785 476494330900 482920084325 533673650608 540870494444 542897914040 551908667800 552329615089 563601648050 631233845816 644116169200 665049944699 667092063260 676088118055 678622392550 760057079656 772672134920 789042307270 833865079075 901762636880 916729651600 950071349570 952988661800 965840168650 1081740988888 1085795828080 1103817335600 1104659230178 1127203296100 1262467691632 1330099889398 1334184126520 1352176236110 1357244785100 1520114159312 1545344269840 1578084614540 1667730158150 1900142699140 1905977323600 1931680337300 1972605768175 2163481977776 2209318460356 2254406592200 2375178373925 2660199778796 2668368253040 2704352472220 2714489570200 2761648075445 3156169229080 3325249723495 3335460316300 3380440590275 3800285398280 3863360674600 3945211536350 4418636920712 4508813184400 4655349612893 4750356747850 5320399557592 5408704944440 5428979140400 5523296150890 6312338458160 6650499446990 6670920632600 6760881180550 7600570796560 7726721349200 7890423072700 8837273841424 9310699225786 9500713495700 10640799115184 10817409888880 11046592301780 13300998893980 13341841265200 13521762361100 13808240377225 15780846145400 16626248617475 18621398451572 19001426991400 22093184603560 23276748064465 26601997787960 27043524722200 27616480754450 31561692290800 32587447290251 33252497234950 37242796903144 38002853982800 44186369207120 46553496128930 53203995575920 54087049444400 55232961508900 65174894580502 66504994469900 74485593806288 93106992257860 110465923017800 116383740322325 130349789161004 133009988939800 162937236451255 186213984515720 220931846035600 232767480644650 260699578322008 266019977879600 325874472902510 372427969031440 465534961289300 521399156644016 651748945805020 814686182256275 931069922578600 1303497891610040 1629372364512550 1862139845157200 2606995783220080 3258744729025100 6517489458050200 13034978916100400
- Sum of all divisors σ(n): 37345388858048040
- Sum of proper divisors (its aliquot sum) s(n): 24310409941947640
- 13034978916100400 is an abundant number, because the sum of its proper divisors (24310409941947640) is greater than itself. Its abundance is 11275431025847240
Bases of 13034978916100400
- Binary: 1011100100111100111110100001111111001011101001001100002
- Hexadecimal: 0x2E4F3E87F2E930
- Base-36: 3KCIIN9GPBK
Squares and roots of 13034978916100400
- 13034978916100400 squared (130349789161004002) is 169910675343181958822342880160000
- 13034978916100400 cubed (130349789161004003) is 2214782070718756929405275101274077931728064000000
-
The
square root of 13034978916100400 is 114170832.1599715765 -
The
cube root of 13034978916100400 is 235344.1700073739
Scales and comparisons
How big is 13034978916100400?- 13,034,978,916,100,400 seconds is equal to 414,472,009 years, 36 weeks, 22 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,034,978,916,100,400 would take you about one billion, two hundred forty-three million, four hundred sixteen thousand and twenty-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 13034978916100400 cubic inches would be around 19612 feet tall.
Recreational maths with 13034978916100400
- 13034978916100400 backwards is 00400161987943031
- 13034978916100400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13034978916100400's digits is 56
- More coming soon!
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The information we have on file for 13034978916100400 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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