10400106816000
10,400,106,816,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 10400106816000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
10400106816000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 10400106816000:
29 × 32 × 53 × 112 × 372 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 37 × 37 × 109)See below for interesting mathematical facts about the number 10400106816000 from the Numbermatics database.
Names of 10400106816000
- Cardinal: 10400106816000 can be written as Ten trillion, four hundred billion, one hundred six million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.0400106816 × 1013
Factors of 10400106816000
Divisors of 10400106816000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 37 40 44 45 48 50 55 60 64 66 72 74 75 80 88 90 96 99 100 109 110 111 120 121 125 128 132 144 148 150 160 165 176 180 185 192 198 200 218 220 222 225 240 242 250 256 264 275 288 296 300 320 327 330 333 352 360 363 370 375 384 396 400 407 436 440 444 450 480 484 495 500 512 528 545 550 555 576 592 600 605 640 654 660 666 704 720 726 740 750 768 792 800 814 825 872 880 888 900 925 960 968 981 990 1000 1056 1089 1090 1100 1110 1125 1152 1184 1199 1200 1210 1221 1280 1308 1320 1332 1369 1375 1408 1440 1452 1480 1500 1536 1584 1600 1628 1635 1650 1665 1744 1760 1776 1800 1815 1850 1920 1936 1962 1980 2000 2035 2112 2178 2180 2200 2220 2250 2304 2368 2398 2400 2420 2442 2475 2560 2616 2640 2664 2725 2738 2750 2775 2816 2880 2904 2960 3000 3025 3168 3200 3256 3270 3300 3330 3488 3520 3552 3597 3600 3630 3663 3700 3840 3872 3924 3960 4000 4033 4070 4107 4125 4224 4356 4360 4400 4440 4477 4500 4608 4625 4736 4796 4800 4840 4884 4905 4950 5232 5280 5328 5445 5450 5476 5500 5550 5632 5760 5808 5920 5995 6000 6050 6105 6336 6400 6512 6540 6600 6660 6845 6976 7040 7104 7194 7200 7260 7326 7400 7680 7744 7848 7920 8000 8066 8140 8175 8214 8250 8325 8448 8712 8720 8800 8880 8954 9000 9075 9250 9472 9592 9600 9680 9768 9810 9900 10175 10464 10560 10656 10791 10890 10900 10952 11000 11100 11520 11616 11840 11990 12000 12099 12100 12210 12321 12375 12672 12800 13024 13080 13189 13200 13320 13431 13625 13690 13875 13952 14080 14208 14388 14400 14520 14652 14800 15059 15125 15488 15696 15840 16000 16132 16280 16350 16428 16500 16650 16896 17424 17440 17600 17760 17908 17985 18000 18150 18315 18500 18944 19184 19200 19360 19536 19620 19800 20165 20350 20535 20928 21120 21312 21582 21780 21800 21904 22000 22200 22385 23040 23232 23680 23980 24000 24198 24200 24420 24525 24642 24750 25344 26048 26160 26378 26400 26640 26862 27225 27250 27380 27750 27904 28160 28416 28776 28800 29040 29304 29600 29975 30118 30250 30525 30976 31392 31680 32000 32264 32560 32700 32856 33000 33300 34225 34848 34880 35200 35520 35816 35970 36000 36297 36300 36630 37000 38368 38400 38720 39072 39240 39567 39600 40293 40330 40700 40875 41070 41625 41856 42240 42624 43164 43560 43600 43808 44000 44363 44400 44770 45177 45375 46464 47360 47960 48000 48396 48400 48840 49050 49284 49500 50688 50875 52096 52320 52756 52800 53280 53724 53955 54450 54500 54760 55500 55808 56832 57552 57600 58080 58608 59200 59950 60236 60495 60500 61050 61605 61952 62784 63360 64000 64528 65120 65400 65712 65945 66000 66600 67155 68450 69696 69760 70400 71040 71632 71940 72000 72594 72600 73260 74000 75295 76736 77440 78144 78480 79134 79200 80586 80660 81400 81750 82140 83250 83712 84480 85248 86328 87120 87200 87616 88000 88726 88800 89540 89925 90354 90750 91575 92928 94720 95920 96000 96792 96800 97680 98100 98568 99000 100825 101750 102675 104192 104640 105512 105600 106560 107448 107910 108900 109000 109520 111000 111925 115104 115200 116160 117216 118400 118701 119900 120472 120990 121000 122100 122625 123210 125568 126720 129056 130240 130800 131424 131890 132000 133089 133200 134310 135531 136125 136900 139392 139520 140800 142080 143264 143880 144000 145188 145200 146520 148000 149221 149875 150590 152625 153472 154880 156288 156960 158268 158400 161172 161320 162800 163500 164280 165649 166500 167424 170496 171125 172656 174240 174400 175232 176000 177452 177600 179080 179850 180708 181485 181500 183150 185856 191840 192000 193584 193600 195360 196200 197136 197835 198000 201465 201650 203500 205350 208384 209280 211024 211200 213120 214896 215820 217800 218000 219040 221815 222000 223850 225885 230208 232320 234432 236800 237402 239800 240944 241980 242000 244200 245250 246420 251136 253440 258112 260480 261600 262848 263780 264000 266178 266400 268620 269775 271062 272250 273800 278784 279040 284160 286528 287760 288000 290376 290400 293040 296000 298442 299750 301180 302475 305250 306944 308025 309760 312576 313920 316536 316800 322344 322640 325600 327000 328560 329725 331298 333000 335775 342250 345312 348480 348800 350464 352000 354904 355200 358160 359700 361416 362970 363000 366300 376475 383680 387168 387200 390720 392400 394272 395670 396000 399267 402930 403300 407000 410700 418560 422048 422400 426240 429792 431640 435600 436000 438080 443630 444000 447663 447700 449625 451770 457875 460416 464640 468864 473600 474804 479600 481888 483960 484000 487993 488400 490500 492840 496947 502272 504125 513375 516224 520960 523200 525696 527560 528000 532356 532800 537240 539550 542124 544500 547600 557568 559625 573056 575520 576000 580752 580800 586080 592000 593505 596884 599500 602360 604950 610500 613888 616050 625152 627840 633072 633600 644688 645280 651200 654000 657120 659450 662596 665445 666000 671550 677655 684500 690624 696960 697600 700928 704000 709808 710400 716320 719400 722832 725940 726000 732600 746105 752950 767360 774336 774400 781440 784800 788544 791340 792000 798534 805860 806600 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1831500 1841664 1875456 1882375 1899216 1918400 1927552 1935840 1936000 1951972 1953600 1962000 1971360 1978350 1987788 1996335 2014650 2016500 2053500 2064896 2092800 2102784 2110240 2112000 2129424 2131200 2148960 2158200 2168496 2178000 2190400 2218150 2238315 2238500 2258850 2292224 2302080 2323008 2323200 2344320 2368000 2374020 2387536 2398000 2409440 2419800 2439965 2442000 2464200 2484735 2511360 2532288 2578752 2581120 2604800 2616000 2628480 2637800 2650384 2661780 2664000 2685978 2686200 2697750 2710620 2738000 2762496 2787840 2839232 2865280 2877600 2891328 2903760 2904000 2927958 2930400 2967525 2981682 2984420 3011800 3024750 3069440 3080250 3097344 3125760 3139200 3154176 3165360 3168000 3194136 3223440 3226400 3256000 3282862 3285600 3297250 3312980 3327225 3357750 3376384 3388275 3438336 3453120 3484800 3488000 3504640 3549040 3552000 3581304 3581600 3597000 3614160 3629700 3663000 3730525 3764750 3798432 3836800 3855104 3871680 3872000 3903944 3907200 3924000 3942720 3956700 3975576 3992670 4029300 4033000 4107000 4141225 4185600 4220480 4258848 4262400 4297920 4316400 4336992 4356000 4380800 4391937 4436300 4476630 4477000 4517700 4537125 4604160 4646016 4646400 4688640 4748040 4775072 4796000 4818880 4839600 4879930 4884000 4924293 4928400 4945875 4969470 5036625 5064576 5157504 5162240 5209600 5232000 5256960 5275600 5300768 5323560 5328000 5371956 5372400 5395500 5421240 5476000 5524992 5545375 5647125 5678464 5730560 5755200 5782656 5807520 5808000 5855916 5860800 5935050 5963364 5968840 6023600 6049500 6160500 6194688 6278400 6308352 6330720 6336000 6388272 6446880 6452800 6512000 6565724 6571200 6594500 6625960 6654450 6714945 6715500 6752768 6776550 6876672 6906240 6969600 6976000 7098080 7104000 7162608 7163200 7194000 7228320 7259400 7319895 7326000 7454205 7461050 7529500 7596864 7673600 7710208 7743360 7744000 7807888 7814400 7848000 7885440 7913400 7951152 7985340 8058600 8066000 8207155 8214000 8282450 8440960 8517696 8595840 8632800 8673984 8712000 8761600 8783874 8872600 8953260 8954000 9035400 9074250 9208320 9292032 9377280 9496080 9550144 9592000 9637760 9679200 9759860 9768000 9848586 9856800 9891750 9938940 9981675 10073250 10129152 10315008 10324480 10464000 10513920 10551200 10601536 10647120 10656000 10743912 10744800 10791000 10842480 10952000 11090750 11191575 11294250 11356928 11461120 11510400 11565312 11615040 11616000 11711832 11721600 11870100 11926728 11937680 12047200 12099000 12199825 12321000 12423675 12556800 12661440 12776544 12893760 12905600 13024000 13131448 13142400 13189000 13251920 13308900 13429890 13431000 13553100 13812480 13939200 14196160 14325216 14326400 14388000 14456640 14518800 14639790 14652000 14772879 14837625 14908410 14922100 15059000 15193728 15347200 15486720 15615776 15628800 15696000 15770880 15826800 15902304 15970680 16117200 16132000 16414310 16428000 16564900 16636125 16881920 16941375 17035392 17191680 17265600 17347968 17424000 17523200 17567748 17745200 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37305250 37984320 38200576 38368000 38551040 38716800 39039440 39072000 39394344 39427200 39567000 39755760 39926700 40293000 41035775 41412250 42204800 42406144 42588480 42975648 42979200 43164000 43369920 43808000 43919370 44363000 44766300 45177000 46041600 46460160 46847328 46886400 47480400 47706912 47750720 48188800 48396000 48799300 49242930 49284000 49694700 49908375 50645760 51106176 51575040 51622400 52525792 52569600 52756000 53007680 53235600 53719560 53724000 54167223 54212400 55957875 56784640 57300864 57305600 57552000 57826560 58075200 58559160 58608000 59091516 59350500 59633640 59688400 60236000 60774912 60999125 62118375 62463104 62784000 63307200 63609216 63882720 64468800 64528000 65657240 65712000 66259600 66544500 67149450 67765500 68141568 69062400 69391872 69696000 70270992 70980800 71626080 71632000 72222964 72283200 72594000 73198950 73864395 74542050 74610500 75968640 76401152 76736000 77433600 78078880 78144000 78788688 78854400 79134000 79511520 79853400 80586000 82071550 82824500 84409600 84812288 85176960 85951296 85958400 86328000 86739840 87616000 87838740 88726000 89532600 90278705 90354000 92920320 93694656 94960800 95413824 95501440 96377600 96792000 97598600 98485860 98568000 99389400 99816750 101291520 102212352 103150080 105051584 105512000 106015360 106471200 107439120 107448000 108334446 108424800 109798425 111915750 113569280 114601728 115104000 115653120 116150400 117118320 117216000 118183032 118701000 119267280 119376800 120472000 121998250 123107325 124236750 124926208 126614400 127218432 127765440 128937600 129056000 131314480 131424000 132519200 133089000 134298900 135531000 138124800 140541984 141961600 143252160 143264000 144445928 144566400 145188000 146397900 147728790 149084100 149221000 151937280 154867200 156157760 157577376 157708800 158268000 159023040 159706800 161172000 162501669 164143100 165649000 167873625 168819200 170353920 171902592 171916800 172656000 173479680 175677480 177452000 179065200 180557410 180708000 182997375 186355125 187389312 189921600 190827648 191002880 192755200 193584000 195197200 196971720 197136000 198778800 199633500 204424704 205178875 210103168 211024000 212030720 212942400 214878240 214896000 216668892 216849600 219596850 223831500 229203456 230208000 232300800 234236640 234432000 236366064 237402000 238534560 238753600 240944000 243996500 246214650 248473500 249852416 253228800 254436864 255530880 257875200 258112000 262628960 262848000 265038400 266178000 268597800 270836115 271062000 281083968 283923200 286504320 286528000 288891856 289132800 290376000 292795800 295457580 298168200 298442000 303874560 312315520 315154752 316536000 318046080 319413600 322344000 325003338 328286200 331298000 335747250 340707840 343805184 345312000 346959360 351354960 354904000 358130400 361114820 361416000 365994750 369321975 372710250 374778624 379843200 381655296 382005760 387168000 390394400 393943440 394272000 397557600 399267000 410357750 420206336 422048000 424061440 425884800 429756480 429792000 433337784 433699200 439193700 447663000 451393525 464601600 468473280 472732128 474804000 477069120 477507200 481888000 487993000 492429300 496947000 506457600 511061760 515750400 525257920 530076800 532356000 537195600 541672230 542124000 548992125 562167936 567846400 573008640 577783712 578265600 580752000 585591600 590915160 596336400 596884000 615536625 624631040 630309504 633072000 636092160 638827200 644688000 650006676 656572400 662596000 671494500 687610368 690624000 702709920 709808000 716260800 722229640 722832000 731989500 738643950 745420500 749557248 759686400 763310592 774336000 780788800 787886880 788544000 795115200 798534000 812508345 820715500 840412672 844096000 851769600 859512960 859584000 866675568 867398400 878387400 895326000 902787050 936946560 945464256 949608000 954138240 955014400 963776000 975986000 984858600 993894000 1022123520 1050515840 1060153600 1064712000 1074391200 1083344460 1084248000 1097984250 1124335872 1146017280 1155567424 1161504000 1171183200 1181830320 1192672800 1193768000 1231073250 1249262080 1260619008 1266144000 1272184320 1277654400 1289376000 1300013352 1313144800 1325192000 1342989000 1354180575 1405419840 1419616000 1432521600 1444459280 1445664000 1463979000 1477287900 1490841000 1519372800 1561577600 1575773760 1590230400 1597068000 1625016690 1641431000 1703539200 1719025920 1733351136 1734796800 1756774800 1790652000 1805574100 1846609875 1873893120 1890928512 1899216000 1908276480 1910028800 1951972000 1969717200 1987788000 2101031680 2120307200 2129424000 2148782400 2166688920 2168496000 2195968500 2248671744 2256967625 2311134848 2323008000 2342366400 2363660640 2385345600 2387536000 2462146500 2521238016 2532288000 2555308800 2578752000 2600026704 2626289600 2650384000 2685978000 2708361150 2810839680 2839232000 2865043200 2888918560 2891328000 2927958000 2954575800 2981682000 3123155200 3151547520 3180460800 3194136000 3250033380 3282862000 3438051840 3466702272 3513549600 3581304000 3611148200 3693219750 3747786240 3781857024 3798432000 3816552960 3903944000 3939434400 3975576000 4062541725 4202063360 4258848000 4297564800 4333377840 4336992000 4391937000 4513935250 4622269696 4684732800 4727321280 4770691200 4775072000 4924293000 5110617600 5200053408 5252579200 5300768000 5371956000 5416722300 5621679360 5730086400 5777837120 5855916000 5909151600 5963364000 6246310400 6303095040 6360921600 6388272000 6500066760 6565724000 6770902875 6933404544 7027099200 7162608000 7222296400 7386439500 7563714048 7596864000 7807888000 7878868800 7951152000 8125083450 8517696000 8595129600 8666755680 8673984000 8783874000 9027870500 9244539392 9369465600 9454642560 9541382400 9550144000 9848586000 10400106816 10505158400 10601536000 10743912000 10833444600 11243358720 11555674240 11711832000 11818303200 11926728000 12606190080 12776544000 13000133520 13131448000 13541805750 13866809088 14054198400 14325216000 14444592800 14772879000 15615776000 15757737600 15902304000 16250166900 17190259200 17333511360 17567748000 18055741000 18738931200 18909285120 19082764800 19697172000 20312708625 20800213632 21010316800 21487824000 21666889200 23111348480 23423664000 23636606400 23853456000 25553088000 26000267040 26262896000 27083611500 27733618176 28108396800 28650432000 28889185600 29545758000 31231552000 31515475200 31804608000 32500333800 34667022720 35135496000 36111482000 37818570240 39394344000 40625417250 41600427264 42975648000 43333778400 46222696960 46847328000 47273212800 47706912000 52000534080 52525792000 54167223000 56216793600 57778371200 59091516000 63030950400 65000667600 69334045440 70270992000 72222964000 78788688000 81250834500 83200854528 85951296000 86667556800 93694656000 94546425600 95413824000 104001068160 105051584000 108334446000 115556742400 118183032000 130001335200 138668090880 140541984000 144445928000 157577376000 162501669000 173335113600 189092851200 208002136320 216668892000 231113484800 236366064000 260002670400 281083968000 288891856000 315154752000 325003338000 346670227200 416004272640 433337784000 472732128000 520005340800 577783712000 650006676000 693340454400 866675568000 945464256000 1040010681600 1155567424000 1300013352000 1733351136000 2080021363200 2600026704000 3466702272000 5200053408000 10400106816000
- Sum of all divisors σ(n): 42705322700040
- Sum of proper divisors (its aliquot sum) s(n): 32305215884040
- 10400106816000 is an abundant number, because the sum of its proper divisors (32305215884040) is greater than itself. Its abundance is 21905109068040
Bases of 10400106816000
- Binary: 100101110101011101101010110000100010000000002
- Hexadecimal: 0x97576AC2200
- Base-36: 3OPQR2PS0
Squares and roots of 10400106816000
- 10400106816000 squared (104001068160002) is 108162221784209657856000000
- 10400106816000 cubed (104001068160003) is 1124898660011662543841213546496000000000
-
The
square root of 10400106816000 is 3224919.6603946585 -
The
cube root of 10400106816000 is 21827.9323905959
Scales and comparisons
How big is 10400106816000?- 10,400,106,816,000 seconds is equal to 330,691 years, 11 weeks, 5 days, 16 hours.
-
To count from 1 to 10,400,106,816,000 would take you about eight hundred twenty-six thousand, seven hundred twenty-eight 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 10400106816000 cubic inches would be around 1819 feet tall.
Recreational maths with 10400106816000
- 10400106816000 backwards is 00061860100401
- The number of decimal digits it has is: 14
- The sum of 10400106816000's digits is 27
- More coming soon!
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Numbermatics. (2024). Number 10400106816000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/10400106816000/
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The information we have on file for 10400106816000 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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