31214399910400
31,214,399,910,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 31214399910400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1620 divisors.
31214399910400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 31214399910400:
29 × 52 × 72 × 17 × 292 × 592
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 17 × 29 × 29 × 59 × 59)See below for interesting mathematical facts about the number 31214399910400 from the Numbermatics database.
Names of 31214399910400
- Cardinal: 31214399910400 can be written as Thirty-one trillion, two hundred fourteen billion, three hundred ninety-nine million, nine hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 3.12143999104 × 1013
Factors of 31214399910400
Divisors of 31214399910400
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 29 32 34 35 40 49 50 56 58 59 64 68 70 80 85 98 100 112 116 118 119 128 136 140 145 160 170 175 196 200 203 224 232 236 238 245 256 272 280 290 295 320 340 350 392 400 406 413 425 448 464 472 476 490 493 512 544 560 580 590 595 640 680 700 725 784 800 812 826 833 841 850 896 928 944 952 980 986 1003 1015 1088 1120 1160 1180 1190 1225 1280 1360 1400 1421 1450 1475 1568 1600 1624 1652 1666 1682 1700 1711 1792 1856 1888 1904 1960 1972 2006 2030 2065 2176 2240 2320 2360 2380 2450 2465 2560 2720 2800 2842 2891 2900 2950 2975 3136 3200 3248 3304 3332 3364 3400 3422 3451 3481 3584 3712 3776 3808 3920 3944 4012 4060 4130 4165 4205 4352 4480 4640 4720 4760 4900 4930 5015 5075 5440 5600 5684 5782 5800 5887 5900 5950 6272 6400 6496 6608 6664 6728 6800 6844 6902 6962 7021 7105 7424 7552 7616 7840 7888 8024 8120 8260 8330 8410 8555 8704 8960 9280 9440 9520 9800 9860 10030 10150 10325 10880 11200 11368 11564 11600 11774 11800 11900 11977 12325 12544 12800 12992 13216 13328 13456 13600 13688 13804 13924 14042 14210 14297 14455 14848 15104 15232 15680 15776 16048 16240 16520 16660 16820 17110 17255 17405 17920 18560 18880 19040 19600 19720 20060 20300 20650 20825 21025 21760 22400 22736 23128 23200 23548 23600 23800 23954 24157 24367 24650 25075 25088 25984 26432 26656 26912 27200 27376 27608 27848 28084 28420 28594 28910 29087 29435 30208 30464 31360 31552 32096 32480 33040 33320 33640 34220 34510 34810 35105 35525 37120 37760 38080 39200 39440 40120 40600 41209 41300 41650 42050 42775 43520 44800 45472 46256 46400 47096 47200 47600 47908 48314 48734 49147 49300 49619 50150 51968 52864 53312 53824 54400 54752 55216 55696 56168 56840 57188 57820 58174 58870 59177 59885 60928 62720 63104 64192 64960 66080 66640 67280 68440 69020 69620 70210 71050 71485 72275 74240 75520 76160 78400 78880 80240 81200 82418 82600 83300 83839 84100 85550 86275 87025 89600 90944 92512 92800 94192 94400 95200 95816 96628 97468 98294 98600 99238 100079 100300 100949 103936 105728 106624 107648 108800 109504 110432 111392 112336 113680 114376 115640 116348 117740 118354 119770 120785 121835 125440 126208 128384 129920 132160 133280 134560 136880 138040 139240 140420 142100 142970 144550 145435 147175 151040 152320 156800 157760 160480 162400 164836 165200 166600 167678 168200 170569 171100 172550 174050 175525 181888 185024 185600 188384 188800 190400 191632 193256 194936 196588 197200 198476 200158 200600 201898 203609 206045 211456 213248 215296 217600 219008 220864 222784 224672 227360 228752 231280 232696 235480 236708 239540 241570 243670 245735 248095 252416 256768 259840 264320 266560 269120 273760 276080 278480 280840 284200 285940 289100 290870 294350 295885 299425 304640 313600 315520 320960 324800 329672 330400 333200 335356 336400 341138 342200 345100 347333 348100 351050 357425 363776 370048 371200 376768 377600 380800 383264 386512 389872 393176 394400 396952 400316 401200 403796 407218 412090 414239 419195 426496 430592 438016 441728 445568 449344 454720 457504 462560 465392 470960 473416 479080 483140 487340 491470 496190 500395 504745 513536 519680 528640 533120 538240 547520 552160 556960 561680 568400 571880 578200 581740 588700 591770 598850 603925 609175 627200 631040 641920 649600 659344 660800 666400 670712 672800 682276 684400 690200 694666 696200 700553 702100 706643 714850 727175 727552 740096 753536 755200 761600 766528 773024 779744 786352 788800 793904 800632 802400 807592 814436 824180 828478 838390 843523 852845 876032 883456 891136 898688 909440 915008 925120 930784 941920 946832 958160 966280 974680 982940 992380 1000790 1009490 1018045 1030225 1057280 1066240 1076480 1095040 1104320 1113920 1123360 1136800 1143760 1156400 1163480 1177400 1183540 1197700 1207850 1218350 1228675 1240475 1262080 1283840 1299200 1318688 1321600 1332800 1341424 1345600 1364552 1368800 1380400 1389332 1392400 1401106 1404200 1413286 1425263 1429700 1454350 1479425 1480192 1507072 1523200 1533056 1546048 1559488 1572704 1577600 1587808 1601264 1604800 1615184 1628872 1648360 1656956 1676780 1687046 1705690 1716133 1736665 1766912 1782272 1797376 1818880 1830016 1850240 1861568 1883840 1893664 1916320 1932560 1949360 1965880 1984760 2001580 2018980 2036090 2060450 2071195 2095975 2132480 2152960 2190080 2208640 2227840 2246720 2273600 2287520 2312800 2326960 2354800 2367080 2395400 2415700 2431331 2436700 2457350 2480950 2501975 2523725 2567680 2598400 2637376 2643200 2665600 2682848 2691200 2729104 2737600 2760800 2778664 2784800 2802212 2808400 2826572 2850526 2859400 2899673 2908700 2927521 2958850 3014144 3066112 3092096 3118976 3145408 3155200 3175616 3202528 3209600 3230368 3257744 3296720 3313912 3353560 3374092 3411380 3432266 3473330 3502765 3533215 3594752 3637760 3660032 3700480 3723136 3767680 3787328 3832640 3865120 3898720 3931760 3969520 4003160 4037960 4072180 4120900 4142390 4191950 4217615 4264225 4380160 4417280 4455680 4493440 4547200 4575040 4625600 4653920 4709600 4734160 4790800 4831400 4862662 4873400 4914700 4946501 4961900 5003950 5047450 5090225 5274752 5286400 5331200 5365696 5382400 5458208 5475200 5521600 5557328 5569600 5604424 5616800 5653144 5701052 5718800 5799346 5817400 5855042 5904661 5917700 6132224 6184192 6237952 6290816 6310400 6351232 6405056 6419200 6460736 6515488 6593440 6627824 6707120 6748184 6822760 6864532 6946660 7005530 7066430 7126315 7320064 7400960 7446272 7535360 7574656 7665280 7730240 7797440 7863520 7939040 8006320 8075920 8144360 8241800 8284780 8383900 8435230 8528450 8580665 8683325 8834560 8911360 8986880 9094400 9150080 9251200 9307840 9419200 9468320 9581600 9662800 9725324 9746800 9829400 9893002 9923800 10007900 10094900 10180450 10355975 10549504 10662400 10731392 10764800 10916416 10950400 11043200 11114656 11139200 11208848 11233600 11306288 11402104 11437600 11598692 11634800 11710084 11809322 11835400 12012931 12156655 12368384 12475904 12581632 12702464 12810112 12838400 12921472 13030976 13186880 13255648 13414240 13496368 13645520 13729064 13893320 14011060 14132860 14252630 14498365 14637605 14892544 15070720 15149312 15330560 15460480 15594880 15727040 15878080 16012640 16151840 16288720 16483600 16569560 16767800 16870460 17056900 17161330 17366650 17513825 17666075 17973760 18188800 18300160 18502400 18615680 18838400 18936640 19163200 19325600 19450648 19493600 19658800 19786004 19847600 20015800 20189800 20360900 20492647 20711950 21088075 21099008 21462784 21832832 21900800 22086400 22229312 22278400 22417696 22467200 22612576 22804208 22875200 23197384 23269600 23420168 23618644 23670800 24025862 24313310 24732505 25163264 25404928 25620224 25842944 26061952 26373760 26511296 26828480 26992736 27291040 27458128 27786640 28022120 28265720 28505260 28996730 29275210 29523305 30298624 30661120 30920960 31189760 31454080 31756160 32025280 32303680 32577440 32967200 33139120 33535600 33740920 34113800 34322660 34733300 35027650 35332150 35631575 36600320 37004800 37231360 37676800 37873280 38326400 38651200 38901296 38987200 39317600 39572008 39695200 40031600 40379600 40721800 40985294 41332627 41423900 42176150 42903325 42925568 43665664 44172800 44458624 44556800 44835392 44934400 45225152 45608416 45750400 46394768 46539200 46840336 47237288 47341600 48051724 48626620 49465010 49767857 51240448 51685888 52123904 52747520 53022592 53656960 53985472 54582080 54916256 55573280 56044240 56531440 57010520 57993460 58550420 59046610 60064655 60783275 61841920 62379520 62908160 63512320 64050560 64607360 65154880 65934400 66278240 67071200 67481840 68227600 68645320 69466600 70055300 70664300 71263150 72491825 73188025 74462720 75353600 75746560 76652800 77302400 77802592 77974400 78635200 79144016 79390400 80063200 80759200 81443600 81970588 82665254 82847800 84090517 84352300 85806650 87331328 88917248 89670784 89868800 90450304 91216832 91500800 92789536 93078400 93680672 94474576 94683200 96103448 97253240 98930020 99535714 102463235 104247808 105495040 106045184 107313920 107970944 109164160 109832512 111146560 112088480 113062880 114021040 115986920 117100840 118093220 120129310 121566550 123662525 125816320 127024640 128101120 129214720 130309760 131868800 132556480 134142400 134963680 136455200 137290640 138933200 140110600 141328600 142526300 143448529 144983650 146376050 147616525 151493120 153305600 154604800 155605184 155948800 157270400 158288032 158780800 160126400 161518400 162887200 163941176 165330508 165695600 168181034 168704600 171613300 177834496 179341568 180900608 182433664 183001600 185579072 186156800 187361344 188949152 189366400 192206896 194506480 197860040 199071428 204926470 206663135 212090368 214627840 215941888 218328320 219665024 222293120 224176960 226125760 228042080 231973840 234201680 236186440 240258620 243133100 247325050 248839285 256202240 258429440 260619520 263737600 265112960 268284800 269927360 272910400 274581280 277866400 280221200 282657200 285052600 286897058 289967300 292752100 295233050 300323275 309209600 311210368 311897600 314540800 316576064 317561600 320252800 323036800 325774400 327882352 330661016 331391200 336362068 337409200 343226600 348374999 358683136 361801216 364867328 371158144 372313600 374722688 377898304 378732800 384413792 389012960 395720080 398142856 409852940 413326270 420452585 431883776 436656640 439330048 444586240 448353920 452251520 456084160 463947680 468403360 472372880 480517240 486266200 494650100 497678570 512316175 521239040 527475200 530225920 536569600 539854720 545820800 549162560 555732800 560442400 565314400 570105200 573794116 579934600 585504200 590466100 600646550 622420736 629081600 633152128 635123200 640505600 646073600 651548800 655764704 661322032 662782400 672724136 674818400 686453200 696749998 717242645 729734656 742316288 749445376 755796608 757465600 768827584 778025920 791440160 796285712 819705880 826652540 840905170 878660096 889172480 896707840 904503040 912168320 927895360 936806720 944745760 961034480 972532400 989300200 995357140 1024632350 1033315675 1060451840 1073139200 1079709440 1091641600 1098325120 1111465600 1120884800 1130628800 1140210400 1147588232 1159869200 1171008400 1180932200 1201293100 1244196425 1244841472 1266304256 1281011200 1292147200 1303097600 1311529408 1322644064 1325564800 1345448272 1349636800 1372906400 1393499996 1434485290 1484632576 1498890752 1511593216 1537655168 1556051840 1582880320 1592571424 1639411760 1653305080 1681810340 1741874995 1793415680 1809006080 1824336640 1855790720 1873613440 1889491520 1922068960 1945064800 1978600400 1990714280 2049264700 2066631350 2102262925 2159418880 2183283200 2196650240 2222931200 2241769600 2261257600 2280420800 2295176464 2319738400 2342016800 2361864400 2402586200 2438624993 2488392850 2532608512 2606195200 2623058816 2645288128 2651129600 2690896544 2699273600 2745812800 2786999992 2868970580 3023186432 3075310336 3112103680 3165760640 3185142848 3278823520 3306610160 3363620680 3483749990 3586213225 3648673280 3711581440 3747226880 3778983040 3844137920 3890129600 3957200800 3981428560 4098529400 4133262700 4204525850 4393300480 4445862400 4483539200 4522515200 4560841600 4590352928 4639476800 4684033600 4723728800 4805172400 4877249986 4976785700 5246117632 5290576256 5302259200 5381793088 5398547200 5491625600 5573999984 5737941160 6150620672 6224207360 6331521280 6370285696 6557647040 6613220320 6727241360 6967499980 7172426450 7423162880 7494453760 7557966080 7688275840 7780259200 7914401600 7962857120 8197058800 8266525400 8409051700 8709374975 8967078400 9045030400 9121683200 9180705856 9278953600 9368067200 9447457600 9610344800 9754499972 9953571400 10492235264 10581152512 10763586176 10797094400 10983251200 11147999968 11475882320 12193124965 12663042560 12740571392 13115294080 13226440640 13454482720 13934999960 14344852900 15115932160 15376551680 15560518400 15828803200 15925714240 16394117600 16533050800 16818103400 17418749950 18243366400 18361411712 18557907200 18736134400 18894915200 19220689600 19508999944 19907142800 21162305024 21527172352 21966502400 22295999936 22951764640 24386249930 25481142784 26230588160 26452881280 26908965440 27869999920 28689705800 30753103360 31121036800 31657606400 31851428480 32788235200 33066101600 33636206800 34837499900 36722823424 37115814400 37472268800 37789830400 38441379200 39017999888 39814285600 43054344704 44591999872 45903529280 48772499860 52461176320 52905762560 53817930880 55739999840 57379411600 60965624825 63315212800 63702856960 65576470400 66132203200 67272413600 69674999800 73445646848 75579660800 76882758400 78035999776 79628571200 89183999744 91807058560 97544999720 105811525120 107635861760 111479999680 114758823200 121931249650 127405713920 131152940800 132264406400 134544827200 139349999600 153765516800 156071999552 159257142400 178367999488 183614117120 195089999440 215271723520 222959999360 229517646400 243862499300 262305881600 264528812800 269089654400 278699999200 312143999104 318514284800 367228234240 390179998880 445919998720 459035292800 487724998600 529057625600 538179308800 557399998400 624287998208 637028569600 780359997760 891839997440 918070585600 975449997200 1076358617600 1114799996800 1248575996416 1560719995520 1836141171200 1950899994400 2229599993600 3121439991040 3901799988800 4459199987200 6242879982080 7803599977600 15607199955200 31214399910400
- Sum of all divisors σ(n): 100352632612518
- Sum of proper divisors (its aliquot sum) s(n): 69138232702118
- 31214399910400 is an abundant number, because the sum of its proper divisors (69138232702118) is greater than itself. Its abundance is 37923832791718
Bases of 31214399910400
- Binary: 1110001100011101010110011011111110010000000002
- Hexadecimal: 0x1C63AB37F200
- Base-36: B2BP3RW1S
Squares and roots of 31214399910400
- 31214399910400 squared (312143999104002) is 974338761766379528028160000
- 31214399910400 cubed (312143999104003) is 30413399757979724085414591792676864000000
-
The
square root of 31214399910400 is 5586984.8675649731 -
The
cube root of 31214399910400 is 31486.0608219345
Scales and comparisons
How big is 31214399910400?- 31,214,399,910,400 seconds is equal to 992,521 years, 18 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 31,214,399,910,400 would take you about two million, four hundred eighty-one thousand, three hundred 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 31214399910400 cubic inches would be around 2623.8 feet tall.
Recreational maths with 31214399910400
- 31214399910400 backwards is 00401999341213
- The number of decimal digits it has is: 14
- The sum of 31214399910400's digits is 46
- More coming soon!
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"Number 31214399910400 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 31214399910400 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/31214399910400/
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The information we have on file for 31214399910400 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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