13400844381818880
13,400,844,381,818,880 is an even composite number composed of six prime numbers multiplied together.
13400844381818880 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred seventy-two divisors.
Prime factorization of 13400844381818880:
212 × 3 × 5 × 73 × 1512 × 1672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 151 × 151 × 167 × 167)See below for interesting mathematical facts about the number 13400844381818880 from the Numbermatics database.
Names of 13400844381818880
- Cardinal: 13400844381818880 can be written as Thirteen quadrillion, four hundred trillion, eight hundred forty-four billion, three hundred eighty-one million, eight hundred eighteen thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.340084438181888 × 1016
Factors of 13400844381818880
Divisors of 13400844381818880
- Number of divisors d(n): 1872
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 70 80 84 96 98 105 112 120 128 140 147 151 160 167 168 192 196 210 224 240 245 256 280 294 302 320 334 336 343 384 392 420 448 453 480 490 501 512 560 588 604 640 668 672 686 735 755 768 784 835 840 896 906 960 980 1002 1024 1029 1057 1120 1169 1176 1208 1280 1336 1344 1372 1470 1510 1536 1568 1670 1680 1715 1792 1812 1920 1960 2004 2048 2058 2114 2240 2265 2338 2352 2416 2505 2560 2672 2688 2744 2940 3020 3072 3136 3171 3340 3360 3430 3507 3584 3624 3840 3920 4008 4096 4116 4228 4480 4530 4676 4704 4832 5010 5120 5145 5285 5344 5376 5488 5845 5880 6040 6144 6272 6342 6680 6720 6860 7014 7168 7248 7399 7680 7840 8016 8183 8232 8456 8960 9060 9352 9408 9664 10020 10240 10290 10570 10688 10752 10976 11690 11760 12080 12288 12544 12684 13360 13440 13720 14028 14336 14496 14798 15360 15680 15855 16032 16366 16464 16912 17535 17920 18120 18704 18816 19328 20040 20480 20580 21140 21376 21504 21952 22197 22801 23380 23520 24160 24549 25088 25217 25368 26720 26880 27440 27889 28056 28672 28992 29596 30720 31360 31710 32064 32732 32928 33824 35070 35840 36240 36995 37408 37632 38656 40080 40915 41160 42280 42752 43008 43904 44394 45602 46760 47040 48320 49098 50176 50434 50736 51793 53440 53760 54880 55778 56112 57281 57984 59192 61440 62720 63420 64128 65464 65856 67648 68403 70140 71680 72480 73990 74816 75264 75651 77312 80160 81830 82320 83667 84560 85504 86016 87808 88788 91204 93520 94080 96640 98196 100352 100868 101472 103586 106880 107520 109760 110985 111556 112224 114005 114562 115968 118384 122745 125440 126085 126840 128256 130928 131712 135296 136806 139445 140280 143360 144960 147980 149632 150528 151302 154624 155379 159607 160320 163660 164640 167334 169120 171008 171843 175616 176519 177576 182408 187040 188160 193280 195223 196392 200704 201736 202944 207172 213760 215040 219520 221970 223112 224448 228010 229124 231936 236768 245490 250880 252170 253680 256512 258965 261856 263424 270592 273612 278890 280560 286405 289920 295960 299264 301056 302604 309248 310758 319214 320640 327320 329280 334668 338240 342015 342016 343686 351232 353038 355152 364816 374080 376320 378255 386560 390446 392784 403472 405888 414344 418335 427520 430080 439040 443940 446224 448896 456020 458248 463872 473536 478821 490980 501760 504340 507360 513024 517930 523712 526848 529557 541184 547224 557780 561120 572810 579840 585669 591920 598528 602112 605208 618496 621516 638428 641280 654640 658560 669336 676480 684030 684032 687372 702464 706076 710304 729632 748160 752640 756510 773120 776895 780892 785568 798035 806944 811776 828688 836670 855040 859215 878080 882595 887880 892448 897792 912040 916496 927744 947072 957642 976115 981960 1003520 1008680 1014720 1026048 1035860 1047424 1053696 1059114 1082368 1094448 1115560 1117249 1122240 1145620 1159680 1171338 1183840 1197056 1210416 1235633 1243032 1276856 1282560 1309280 1317120 1338672 1352960 1366561 1368060 1374744 1404928 1412152 1420608 1459264 1496320 1505280 1513020 1546240 1553790 1561784 1571136 1596070 1613888 1623552 1657376 1673340 1710080 1718430 1756160 1765190 1775760 1784896 1795584 1824080 1832992 1855488 1894144 1915284 1952230 1963920 2017360 2029440 2052096 2071720 2094848 2107392 2118228 2164736 2188896 2231120 2234498 2244480 2291240 2319360 2342676 2367680 2394105 2394112 2420832 2471266 2486064 2553712 2565120 2618560 2634240 2647785 2677344 2705920 2733122 2736120 2749488 2824304 2841216 2918528 2928345 2992640 3010560 3026040 3092480 3107580 3123568 3142272 3192140 3227776 3247104 3314752 3346680 3351747 3420160 3436860 3512320 3530380 3551520 3569792 3591168 3648160 3665984 3706899 3788288 3807767 3830568 3904460 3927840 4034720 4058880 4099683 4143440 4189696 4211239 4214784 4236456 4329472 4377792 4462240 4468996 4488960 4582480 4638720 4685352 4735360 4788210 4788224 4841664 4942532 4972128 5107424 5130240 5237120 5268480 5295570 5354688 5411840 5466244 5472240 5498976 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20897025296 20990376960 21561543680 21666824655 22142543360 22256398115 22389669960 22639620864 22881259520 23111279632 23394920448 23882314624 24025322496 24488773120 24762085320 25305763840 25435883560 25588194240 25873852416 26121281620 26412891008 26571052032 26707677738 27294073856 27987169280 28299526080 28889099540 29243650560 29386527744 29852893280 30031653120 30186161152 30523060272 31158957361 31345537944 32033763328 32342315520 33016113760 33213815040 34117592320 34321889280 34666919448 35428069376 35610236984 35823471936 36733159680 37732701440 37958645760 38153825340 38991534080 39181922430 39182036992 39619336512 40042204160 40697413696 40941110784 41794050592 41980753920 43123087360 43333649310 44285086720 44512796230 44779339920 45279241728 46222559264 46789840896 47764629248 48050644992 48977546240 49524170640 50871767120 51176388480 51747704832 52242563240 52825782016 53142104064 53415355476 54588147712 56599052160 57778199080 58487301120 58773055488 59705786560 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747814976664 764234067968 792386730240 813948273920 818822215680 835881011840 845212512256 854645687616 872450806108 905584834560 924451185280 934768720830 955292584960 976737928704 997086635552 1003057214208 1056515640320 1068307109520 1090563507635 1109341422336 1139527583488 1146351101952 1220922410880 1246358294440 1253821517760 1267818768384 1302317238272 1308676209162 1337409618944 1386676777920 1424409479360 1432938877440 1479121896448 1495629953328 1584773460480 1627896547840 1637644431360 1671762023680 1709291375232 1744901612216 1811169669120 1848902370560 1869537441660 1910585169920 1953475857408 1994173271104 2006114428416 2113031280640 2136614219040 2181127015270 2218682844672 2279055166976 2292702203904 2441844821760 2492716588880 2507643035520 2535637536768 2604634476544 2617352418324 2674819237888 2773353555840 2848818958720 2865877754880 2958243792896 2991259906656 3169546920960 3255793095680 3271690522905 3343524047360 3418582750464 3489803224432 3697804741120 3739074883320 3821170339840 3906951714816 3988346542208 4012228856832 4226062561280 4273228438080 4362254030540 4437365689344 4558110333952 4883689643520 4985433177760 5015286071040 5234704836648 5349638475776 5546707111680 5697637917440 5731755509760 5916487585792 5982519813312 6339093841920 6511586191360 6543381045810 6687048094720 6837165500928 6979606448864 7395609482240 7478149766640 7813903429632 7976693084416 8024457713664 8546456876160 8724508061080 8874731378688 9116220667904 9767379287040 9970866355520 10030572142080 10469409673296 11093414223360 11395275834880 11463511019520 11965039626624 12678187683840 13023172382720 13086762091620 13374096189440 13674331001856 13959212897728 14791218964480 14956299533280 15953386168832 16048915427328 17092913752320 17449016122160 17749462757376 18232441335808 19534758574080 19941732711040 20061144284160 20938819346592 22186828446720 22790551669760 23930079253248 26173524183240 26748192378880 27348662003712 27918425795456 29582437928960 29912599066560 31906772337664 34185827504640 34898032244320 39069517148160 39883465422080 40122288568320 41877638693184 44373656893440 45581103339520 47860158506496 52347048366480 54697324007424 55836851590912 59825198133120 63813544675328 68371655009280 69796064488640 79766930844160 80244577136640 83755277386368 88747313786880 91162206679040 95720317012992 104694096732960 111673703181824 119650396266240 127627089350656 136743310018560 139592128977280 159533861688320 167510554772736 191440634025984 209388193465920 223347406363648 239300792532480 273486620037120 279184257954560 319067723376640 335021109545472 382881268051968 418776386931840 446694812727296 478601585064960 558368515909120 638135446753280 670042219090944 837552773863680 893389625454592 957203170129920 1116737031818240 1340084438181888 1675105547727360 1914406340259840 2233474063636480 2680168876363776 3350211095454720 4466948127272960 6700422190909440 13400844381818880
- Sum of all divisors σ(n): 50639434572585600
- Sum of proper divisors (its aliquot sum) s(n): 37238590190766720
- 13400844381818880 is an abundant number, because the sum of its proper divisors (37238590190766720) is greater than itself. Its abundance is 23837745808947840
Bases of 13400844381818880
- Binary: 1011111001101111111111001110010001000110010000000000002
- Hexadecimal: 0x2F9BFF39119000
- Base-36: 3NY7AX5DWQO
Squares and roots of 13400844381818880
- 13400844381818880 squared (134008443818188802) is 179582630145726640055097124454400
- 13400844381818880 cubed (134008443818188803) is 2406558880260618679718090461662321863999619072000
-
The
square root of 13400844381818880 is 115762016.1444110303 -
The
cube root of 13400844381818880 is 237525.7627118933
Scales and comparisons
How big is 13400844381818880?- 13,400,844,381,818,880 seconds is equal to 426,105,399 years, 42 weeks, 7 hours, 28 minutes.
-
To count from 1 to 13,400,844,381,818,880 would take you about one billion, two hundred seventy-eight million, three hundred sixteen thousand, one hundred ninety-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 13400844381818880 cubic inches would be around 19793.8 feet tall.
Recreational maths with 13400844381818880
- 13400844381818880 backwards is 08881818344800431
- The number of decimal digits it has is: 17
- The sum of 13400844381818880's digits is 69
- More coming soon!
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"Number 13400844381818880 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 13400844381818880 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/13400844381818880/
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Numbermatics. 2024. "Number 13400844381818880 - Facts about the integer". https://numbermatics.com/n/13400844381818880/
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