31214428304400
31,214,428,304,400 is an even composite number composed of six prime numbers multiplied together.
31214428304400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 31214428304400:
24 × 34 × 52 × 11 × 193 × 1132
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 19 × 19 × 19 × 113 × 113)See below for interesting mathematical facts about the number 31214428304400 from the Numbermatics database.
Names of 31214428304400
- Cardinal: 31214428304400 can be written as Thirty-one trillion, two hundred fourteen billion, four hundred twenty-eight million, three hundred four thousand, four hundred.
Scientific notation
- Scientific notation: 3.12144283044 × 1013
Factors of 31214428304400
Divisors of 31214428304400
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 25 27 30 33 36 38 40 44 45 48 50 54 55 57 60 66 72 75 76 80 81 88 90 95 99 100 108 110 113 114 120 132 135 144 150 152 162 165 171 176 180 190 198 200 209 216 220 225 226 228 240 264 270 275 285 297 300 304 324 330 339 342 360 361 380 396 400 405 418 432 440 450 452 456 475 495 513 528 540 550 565 570 594 600 627 648 660 675 678 684 720 722 760 792 810 825 836 855 880 891 900 904 912 950 990 1017 1026 1045 1080 1083 1100 1130 1140 1188 1200 1243 1254 1296 1320 1350 1356 1368 1425 1444 1485 1520 1539 1584 1620 1650 1672 1695 1710 1782 1800 1805 1808 1881 1900 1980 2025 2034 2052 2090 2147 2160 2166 2200 2260 2280 2376 2475 2486 2508 2565 2640 2700 2712 2736 2825 2850 2888 2970 3051 3078 3135 3240 3249 3300 3344 3390 3420 3564 3600 3610 3729 3762 3800 3960 3971 4050 4068 4104 4180 4275 4294 4332 4400 4455 4520 4560 4752 4950 4972 5016 5085 5130 5225 5400 5415 5424 5643 5650 5700 5776 5940 6102 6156 6215 6270 6441 6480 6498 6600 6780 6840 6859 7128 7220 7425 7458 7524 7600 7695 7920 7942 8100 8136 8208 8360 8475 8550 8588 8664 8910 9025 9040 9153 9405 9747 9900 9944 10032 10170 10260 10450 10735 10800 10830 11187 11286 11300 11400 11880 11913 12204 12312 12430 12540 12769 12825 12882 12996 13200 13560 13680 13718 14256 14440 14850 14916 15048 15255 15390 15675 15884 16200 16245 16272 16720 16929 16950 17100 17176 17328 17820 18050 18306 18645 18810 19323 19494 19800 19855 19888 20340 20520 20577 20900 21470 21660 22275 22374 22572 22600 22800 23617 23760 23826 24408 24624 24860 25080 25425 25538 25650 25764 25992 27075 27120 27436 28215 28880 29241 29700 29832 30096 30510 30780 31075 31350 31768 32205 32400 32490 33561 33858 33900 34200 34295 34352 35640 35739 36100 36612 37290 37620 38307 38475 38646 38988 39600 39710 40680 40793 41040 41154 41800 42940 43320 44550 44748 45144 45200 45765 47025 47234 47652 48735 48816 49720 50160 50850 51076 51300 51528 51984 53675 54150 54872 55935 56430 57969 58482 59400 59565 59664 61020 61560 61731 62150 62700 63536 63845 64410 64980 67122 67716 67800 68400 68590 70851 71280 71478 72200 73224 74580 75240 75449 76275 76614 76950 77292 77976 79420 81225 81360 81586 82308 83600 84645 85880 86640 89100 89496 90288 91530 93225 94050 94468 95304 96615 97470 99275 99440 100683 101700 102152 102600 102885 103056 107217 107350 108300 109744 111870 112860 114921 115938 116964 118085 118800 119130 122040 122379 123120 123462 124300 125400 127690 128820 129960 134244 135432 135600 137180 140459 141075 141702 142956 144400 146205 146448 149160 150480 150898 152550 153228 153900 154584 155952 158840 161025 162450 163172 164616 167805 169290 171475 171760 173907 178200 178695 178992 183060 185193 186450 188100 188936 190608 191535 193230 194940 198550 201366 203400 203965 204304 205200 205770 212553 214434 214700 216600 223740 225720 226347 228825 229842 231876 233928 236170 238260 242611 243675 244080 244758 246924 248600 250800 255380 257640 259920 268488 270864 274360 279675 280918 282150 283404 285912 289845 292410 297825 298320 301796 305100 306456 307800 308655 309168 317680 319225 321651 322050 324900 326344 329232 335610 338580 342950 344763 347814 354255 356400 357390 366120 367137 370386 372900 376200 377245 377872 383070 386460 389880 397100 402732 406800 407930 411540 421377 423225 425106 428868 429400 433200 447480 448723 451440 452694 457650 459684 463752 467856 472340 476520 483075 485222 487350 489516 493848 497200 503415 510760 514425 515280 536085 536976 548720 555579 559350 561836 564300 566808 571824 574605 579690 584820 590425 595650 603592 610200 611895 612912 615600 617310 637659 638450 643302 644100 649800 652688 671220 677160 679041 685900 689526 695628 702295 708510 714780 727833 731025 732240 734274 740772 745800 752400 754490 766140 772920 775067 779760 794200 805464 815860 823080 839025 842754 846450 850212 857736 858800 869535 893475 894960 897446 905388 915300 919368 925965 927504 944680 953040 957675 966150 970444 974700 979032 987696 1006830 1019825 1021520 1028850 1034289 1062765 1072170 1101411 1111158 1118700 1123672 1128600 1131735 1133616 1149210 1159380 1169640 1180850 1191300 1207184 1213055 1220400 1223790 1234620 1264131 1275318 1276900 1286604 1288200 1299600 1342440 1346169 1354320 1358082 1371800 1379052 1391256 1404590 1417020 1429560 1449225 1455666 1462050 1468548 1481544 1491600 1508980 1532280 1543275 1545840 1550134 1588400 1608255 1610928 1631720 1646160 1678050 1685508 1692900 1700424 1715472 1723815 1739070 1771275 1786950 1794892 1810776 1830600 1835685 1838736 1851930 1886225 1889360 1912977 1915350 1932300 1940888 1949400 1958064 2013660 2037123 2039650 2057700 2068578 2106885 2125530 2144340 2183499 2202822 2222316 2237400 2243615 2247344 2257200 2263470 2298420 2318760 2325201 2339280 2361700 2382600 2426110 2447580 2469240 2517075 2528262 2550636 2553800 2573208 2576400 2668721 2680425 2684880 2692338 2716164 2743600 2758104 2777895 2782512 2809180 2834040 2859120 2873025 2898450 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157211928 160123260 161540280 162969840 163762425 165211650 165945924 167414472 168550800 170514740 174390075 174679920 175165142 179489200 181732815 182034864 184384360 186016080 189619650 191297700 192147912 193848336 196514910 200154075 201925350 202822796 203712300 204617688 206857800 207432405 209268090 213143425 213497680 216166401 218349900 220282200 221261232 222231600 227543580 230194899 230480450 232520100 240184890 242310420 244454760 248918886 251121708 252826200 253528495 255063600 255772110 262019880 262747713 264338640 266872100 269233800 271616400 276576540 279024120 284429475 288221868 290772504 291133200 302888025 303391440 304234194 305568450 306926532 310026800 313902135 314423856 320246520 323080560 327524850 330423300 331891848 334828944 341029480 345720675 348780150 350330284 360277335 363465630 368768720 373378329 379239300 382595400 383658165 384295824 393029820 400308150 403850700 405645592 407424600 409235376 413715600 414864810 418536180 426286850 432332802 436699800 437912855 440564400 455087160 456351291 460389798 460960900 465040200 480369780 484620840 488909520 491287275 497837772 502243416 505652400 507056990 511544220 523170225 524039760 525495426 533744200 538467600 553153080 558048240 568858950 576443736 581545008 600462225 605776050 608468388 611136900 613853064 622297215 627804270 639430275 640493040 655049700 660846600 663783696 682058960 690584697 691441350 697560300 700660568 720554670 726931260 746756658 758478600 760585485 765190800 767316330 786059640 788243139 800616300 807701400 811291184 814849200 829729620 837072360 852573700 864665604 873399600 875825710 908664075 910174320 912702582 920779596 921921800 930080400 960739560 963408281 969241680 982574550 995675544 1004486832 1014113980 1023088440 1037162025 1046340450 1050990852 1067488400 1080832005 1106306160 1137717900 1150974495 1152887472 1200924450 1211552100 1216936776 1222273800 1227706128 1244594430 1255608540 1267642475 1278860550 1310099400 1313738565 1321693200 1369053873 1381169394 1382882700 1395120600 1401321136 1441109340 1453862520 1493513316 1516957200 1521170970 1534632660 1569510675 1572119280 1576486278 1601232600 1615402800 1659459240 1674144720 1705147400 1729331208 1751651420 1801386675 1817328150 1825405164 1841559192 1843843600 1866891645 1918290825 1921479120 1926816562 1965149100 1991351088 2028227960 2046176880 2074324050 2092680900 2101981704 2161664010 2189564275 2275435800 2281756455 2301948990 2364729417 2401848900 2423104200 2433873552 2444547600 2489188860 2511217080 2535284950 2557721100 2620198800 2627477130 2738107746 2762338788 2765765400 2790241200 2882218680 2890224843 2907725040 2987026632 3042341940 3069265320 3111486075 3139021350 3152972556 3202465200 3318918480 3410294800 3452923485 3458662416 3503302840 3602773350 3634656300 3650810328 3683118384 3733783290 3802927425 3836581650 3853633124 3930298200 3941215695 4056455920 4107161619 4148648100 4185361800 4203963408 4323328020 4379128550 4550871600 4563512910 4603897980 4729458834 4803697800 4817041405 4846208400 4978377720 5022434160 5070569900 5115442200 5254954260 5404160025 5476215492 5524677576 5531530800 5754872475 5764437360 5780449686 5974053264 6084683880 6138530640 6222972150 6278042700 6305945112 6568692825 6845269365 6905846970 7006605680 7094188251 7205546700 7269312600 7301620656 7467566580 7605854850 7673163300 7707266248 7860596400 7882431390 8214323238 8297296200 8370723600 8646656040 8670674529 8758257100 9127025820 9207795960 9334458225 9458917668 9607395600 9634082810 9956755440 10141139800 10230884400 10509908520 10808320050 10952430984 11049355152 11408782275 11509744950 11560899372 11823647085 12169367760 12445944300 12556085400 12611890224 13137385650 13690538730 13811693940 14188376502 14411093400 14451124215 14538625200 14935133160 15211709700 15346326600 15414532496 15764862780 16428646476 16594592400 17264617425 17293312080 17341349058 17516514200 18254051640 18415591920 18668916450 18917835336 19268165620 19706078475 20282279600 20535808095 21019817040 21616640100 21904861968 22817564550 23019489900 23121798744 23647294170 24085207025 24891888600 25112170800 26012023587 26274771300 27381077460 27623387880 28376753004 28822186800 28902248430 29870266320 30423419400 30692653200 31529725560 32857292952 34226346825 34529234850 34682698116 35033028400 35470941255 36508103280 37337832900 37835670672 38536331240 39412156950 41071616190 43233280200 43353372645 45635129100 46038979800 46243597488 47294588340 48170414050 49783777200 52024047174 52549542600 54762154920 55246775760 56753506008 57804496860 59118235425 60846838800 63059451120 65714585904 68452693650 69058469700 69365396232 70941882510 72255621075 74675665800 77072662480 78036070761 78824313900 82143232380 86466560400 86706745290 91270258200 92077959600 94589176680 96340828100 102679040475 104048094348 105099085200 109524309840 113507012016 115608993720 118236470850 130060117935 136905387300 138116939400 138730792464 141883765020 144511242150 149351331600 156072141522 157648627800 164286464760 173413490580 177354706275 182540516400 189178353360 192681656200 205358080950 208096188696 216766863225 231217987440 236472941700 260120235870 273810774600 276233878800 283767530040 289022484300 312144283044 315297255600 328572929520 346826981160 354709412550 385363312400 390180353805 410716161900 416192377392 433533726450 472945883400 520240471740 547621549200 567535060080 578044968600 624288566088 650300589675 693653962320 709418825100 780360707610 821432323800 867067452900 945891766800 1040480943480 1156089937200 1248577132176 1300601179350 1418837650200 1560721415220 1642864647600 1734134905800 1950901769025 2080961886960 2601202358700 2837675300400 3121442830440 3468269811600 3901803538050 5202404717400 6242885660880 7803607076100 10404809434800 15607214152200 31214428304400
- Sum of all divisors σ(n): 130150420926240
- Sum of proper divisors (its aliquot sum) s(n): 98935992621840
- 31214428304400 is an abundant number, because the sum of its proper divisors (98935992621840) is greater than itself. Its abundance is 67721564317440
Bases of 31214428304400
- Binary: 1110001100011101011001110100100110100000100002
- Hexadecimal: 0x1C63ACE93410
- Base-36: B2BPKOH00
Squares and roots of 31214428304400
- 31214428304400 squared (312144283044002) is 974340534370527859059360000
- 31214428304400 cubed (312144283044003) is 30413482754179625840991220743749184000000
-
The
square root of 31214428304400 is 5586987.4086487791 -
The
cube root of 31214428304400 is 31486.0703689699
Scales and comparisons
How big is 31214428304400?- 31,214,428,304,400 seconds is equal to 992,522 years, 13 weeks, 6 days, 9 hours.
-
To count from 1 to 31,214,428,304,400 would take you about two million, four hundred eighty-one thousand, three hundred five 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 31214428304400 cubic inches would be around 2623.8 feet tall.
Recreational maths with 31214428304400
- 31214428304400 backwards is 00440382441213
- 31214428304400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 31214428304400's digits is 36
- More coming soon!
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"Number 31214428304400 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 31214428304400 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/31214428304400/
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The information we have on file for 31214428304400 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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