13978752472422400

Names of 13978752472422400

• Cardinal: 13978752472422400 can be written as Thirteen quadrillion, nine hundred seventy-eight trillion, seven hundred fifty-two billion, four hundred seventy-two million, four hundred twenty-two thousand, four hundred.

Scientific notation

• Scientific notation: 1.39787524724224 × 10¹⁶

Factors of 13978752472422400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 140

Divisors of 13978752472422400

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 31 32 40 50 52 62 64 65 80 89 100 104 124 128 130 155 160 178 200 208 248 256 260 310 320 325 356 400 403 416 445 496 512 520 620 640 650 712 775 800 806 832 890 961 992 1024 1040 1157 1240 1280 1300 1424 1550 1600 1612 1664 1780 1922 1984 2015 2048 2080 2225 2314 2480 2560 2600 2759 2848 3100 3200 3224 3328 3560 3844 3968 4030 4160 4450 4628 4805 4960 5120 5200 5518 5696 5785 6200 6400 6448 6656 7120 7688 7921 7936 8060 8320 8900 9256 9610 9920 10075 10240 10400 11036 11392 11570 12400 12493 12800 12896 13312 13795 14240 15376 15842 15872 16120 16640 17800 18512 19220 19840 20150 20800 22072 22784 23140 24025 24800 24986 25600 25792 26624 27590 28480 28925 29791 30752 31684 31744 32240 33280 35600 35867 37024 38440 39605 39680 40300 41600 44144 45568 46280 48050 49600 49972 51200 51584 55180 56960 57850 59582 61504 62465 63368 63488 64480 66560 68975 71200 71734 74048 76880 79210 79360 80600 83200 85529 88288 91136 92560 96100 99200 99944 102973 103168 110360 113920 115700 119164 123008 124930 126736 128960 133120 137950 142400 143468 148096 148955 153760 158420 158720 161200 166400 171058 176576 179335 182272 185120 192200 198025 198400 199888 205946 206336 220720 227840 231400 238328 245551 246016 249860 253472 257920 275900 284800 286936 296192 297910 307520 312325 316840 317440 322400 332800 342116 353152 358670 370240 384400 387283 396050 396800 399776 411892 412672 427645 441440 455680 462800 476656 491102 492032 499720 506944 514865 515840 551800 569600 573872 592384 595820 615040 624650 633680 644800 665600 684232 704969 706304 717340 740480 744775 768800 774566 792100 793600 799552 823784 825344 855290 882880 896675 911360 925600 953312 982204 984064 999440 1013888 1029730 1031680 1103600 1111877 1139200 1147744 1184768 1191640 1227755 1230080 1249300 1267360 1289600 1368464 1409938 1412608 1434680 1480960 1489550 1537600 1549132 1584200 1587200 1599104 1647568 1710580 1765760 1793350 1851200 1906624 1936415 1964408 1968128 1998880 2027776 2059460 2063360 2138225 2207200 2223754 2278400 2295488 2369536 2383280 2455510 2460160 2498600 2534720 2574325 2579200 2651399 2736928 2819876 2825216 2869360 2961920 2979100 3075200 3098264 3168400 3192163 3198208 3295136 3421160 3524845 3531520 3586700 3702400 3813248 3872830 3928816 3997760 4055552 4118920 4126720 4276450 4414400 4447508 4556800 4590976 4766560 4911020 4920320 4997200 5069440 5148650 5158400 5302798 5473856 5559385 5639752 5650432 5738720 5923840 5958200 6138775 6150400 6196528 6336800 6384326 6396416 6590272 6842320 7049690 7063040 7173400 7404800 7612081 7626496 7745660 7857632 7995520 8111104 8237840 8552900 8828800 8895016 9164597 9181952 9533120 9682075 9822040 9840640 9994400 10138880 10297300 10316800 10605596 10947712 11118770 11279504 11477440 11847680 11916400 12277550 12300800 12393056 12673600 12768652 12792832 13180544 13256995 13684640 14099380 14126080 14346800 14809600 15224162 15252992 15491320 15715264 15960815 15991040 16222208 16475680 17105800 17624225 17657600 17790032 18329194 18363904 19066240 19364150 19644080 19988800 20277760 20594600 20633600 21211192 21854039 21895424 22237540 22559008 22954880 23832800 24555100 24601600 24786112 25347200 25537304 25585664 26361088 26513990 27369280 27796925 28198760 28252160 28693600 29619200 30448324 30505984 30982640 31430528 31921630 31982080 32951360 34211600 34468187 35248450 35315200 35580064 36658388 36727808 38060405 38132480 38728300 39288160 39977600 40555520 41189200 42422384 43708078 43790848 44475080 45118016 45822985 45909760 47665600 49110200 49203200 49572224 50694400 51074608 52722176 53027980 54738560 55593850 56397520 57387200 59238400 60896648 61011968 61965280 62861056 63843260 63964160 65902720 66284975 68423200 68936374 70496900 70630400 71160128 73316776 73455616 76120810 76264960 77456600 78576320 79804075 79955200 81111040 82378400 84844768 87416156 87581696 88950160 90236032 91645970 91819520 95331200 98220400 98957053 99144448 101388800 102149216 105444352 106055960 109270195 109477120 111187700 112795040 114774400 121793296 123930560 125722112 127686520 127928320 131805440 132569950 136846400 137872748 140993800 141260800 142320256 146633552 152241620 152529920 154913200 157152640 159608150 159910400 164756800 169689536 172340935 174832312 175163392 177900320 180472064 183291940 183639040 190302025 190662400 196440800 197914106 198288896 202777600 204298432 210888704 212111920 218540390 218954240 222375400 225590080 229114925 229548800 235974511 243586592 247861120 251444224 255373040 263610880 265139900 273692800 275745496 281987600 284102507 284640512 293267104 304483240 305059840 309826400 314305280 319216300 319820800 329513600 339379072 344681870 349664624 355800640 360944128 366583880 367278080 380604050 381324800 392881600 395828212 396577792 405555200 408596864 424223840 437080780 437908480 444750800 451180160 458229850 459097600 471949022 487173184 494785265 495722240 502888448 510746080 527221760 530279800 546350975 547385600 551490992 563975200 568205014 569281024 586534208 608966480 619652800 628610560 638432600 639641600 659027200 677475209 678758144 689363740 699329248 711601280 721888256 733167760 761208100 762649600 785763200 791656424 793155584 817193728 848447680 861704675 874161560 875816960 889501600 902360320 916459700 918195200 943898044 974346368 989570530 991444480 1021492160 1054443520 1060559600 1092701950 1094771200 1102981984 1127950400 1136410028 1138562048 1173068416 1179872555 1217932960 1239305600 1257221120 1276865200 1318054400 1354950418 1357516288 1378727480 1398658496 1420512535 1423202560 1443776512 1466335520 1522416200 1525299200 1571526400 1583312848 1634387456 1696895360 1723409350 1748323120 1779003200 1804720640 1832919400 1836390400 1887796088 1948692736 1979141060 1982888960 2042984320 2121119200 2185403900 2189542400 2205963968 2255900800 2272820056 2277124096 2346136832 2359745110 2435865920 2473926325 2478611200 2514442240 2553730400 2636108800 2709900836 2715032576 2757454960 2797316992 2841025070 2846405120 2932671040 3044832400 3067668643 3143052800 3166625696 3268774912 3387376045 3393790720 3446818700 3496646240 3558006400 3609441280 3665838800 3775592176 3897385472 3958282120 3965777920 4085968640 4242238400 4370807800 4379084800 4411927936 4511801600 4545640112 4692273664 4719490220 4871731840 4947852650 4957222400 5107460800 5272217600 5419801672 5430065152 5514909920 5594633984 5682050140 5692810240 5865342080 5899362775 6089664800 6135337286 6286105600 6333251392 6537549824 6774752090 6787581440 6893637400 6993292480 7102562675 7116012800 7218882560 7331677600 7551184352 7794770944 7916564240 8171937280 8484476800 8741615600 8807177717 8823855872 9023603200 9091280224 9384547328 9438980440 9743463680 9895705300 9914444800 10214921600 10839603344 11029819840 11189267968 11364100280 11385620480 11730684160 11798725550 12179329600 12270674572 12572211200 12666502784 13549504180 13575162880 13787274800 13986584960 14205125350 14232025600 14663355200 15102368704 15338343215 15589541888 15833128480 16343874560 16936880225 16968953600 17483231200 17614355434 17647711744 18047206400 18182560448 18769094656 18877960880 19486927360 19791410600 19828889600 20429843200 21001731479 21679206688 22059639680 22378535936 22728200560 23461368320 23597451100 24358659200 24541349144 25333005568 27099008360 27150325760 27574549600 27973169920 28410250700 28464051200 29326710400 30204737408 30676686430 31666256960 32687749120 33873760450 33937907200 34966462400 35228710868 35295423488 36094412800 36365120896 37755921760 38973854720 39582821200 40859686400 42003462958 43358413376 44035888585 44119279360 44757071872 45456401120 46922736640 47194902200 48717318400 49082698288 50666011136 54198016720 55149099200 55946339840 56820501400 56928102400 58653420800 60409474816 61353372860 63332513920 67747520900 67875814400 69932924800 70457421736 70590846976 72730241792 75511843520 76691716075 77947709440 79165642400 81719372800 84006925916 86716826752 88071777170 88238558720 90912802240 93845473280 94389804400 97434636800 98165396576 101332022272 105008657395 108396033440 110298198400 111892679680 113641002800 117306841600 120818949632 122706745720 126665027840 135495041800 135751628800 139865849600 140914843472 145460483584 151023687040 153383432150 158331284800 163438745600 168013851832 173433653504 176143554340 176477117440 181825604480 188779608800 194869273600 196330793152 202664044544 210017314790 216792066880 220179442925 220596396800 223785359360 227282005600 234613683200 241637899264 245413491440 253330055680 270990083600 273022509227 279731699200 281829686944 290920967168 302047374080 306766864300 316662569600 336027703664 346867307008 352287108680 352954234880 363651208960 377559217600 389738547200 392661586304 420034629580 433584133760 440358885850 441192793600 454564011200 469227366400 483275798528 490826982880 506660111360 525043286975 541980167200 546045018454 559463398400 563659373888 581841934336 604094748160 613533728600 633325139200 672055407328 693734614016 704574217360 727302417920 755118435200 785323172608 840069259160 867168267520 880717771700 882385587200 909128022400 981653965760 1013320222720 1050086573950 1083960334400 1092090036908 1118926796800 1127318747776 1208189496320 1227067457200 1266650278400 1344110814656 1365112546135 1387469228032 1409148434720 1454604835840 1510236870400 1570646345216 1680138518320 1734336535040 1761435543400 1764771174400 1818256044800 1963307931520 2100173147900 2167920668800 2184180073816 2254637495552 2416378992640 2454134914400 2533300556800 2688221629312 2730225092270 2818296869440 2909209671680 3020473740800 3141292690432 3360277036640 3468673070080 3522871086800 3636512089600 3926615863040 4200346295800 4335841337600 4368360147632 4509274991104 4908269828800 5066601113600 5376443258624 5460450184540 5636593738880 6040947481600 6282585380864 6720554073280 6825562730675 6937346140160 7045742173600 7273024179200 7853231726080 8400692591600 8671682675200 8736720295264 9018549982208 9816539657600 10752886517248 10920900369080 11273187477760 12081894963200 13441108146560 13651125461350 14091484347200 14546048358400 15706463452160 16801385183200 17343365350400 17473440590528 18037099964416 19633079315200 21505773034496 21841800738160 22546374955520 26882216293120 27302250922700 28182968694400 31412926904320 33602770366400 34686730700800 34946881181056 39266158630400 43011546068992 43683601476320 45092749911040 53764432586240 54604501845400 56365937388800 67205540732800 69893762362112 78532317260800 87367202952640 90185499822080 107528865172480 109209003690800 112731874777600 134411081465600 139787524724224 157064634521600 174734405905280 215057730344960 218418007381600 225463749555200 268822162931200 279575049448448 349468811810560 436836014763200 450927499110400 537644325862400 559150098896896 698937623621120 873672029526400 1075288651724800 1397875247242240 1747344059052800 2795750494484480 3494688118105600 6989376236211200 13978752472422400
• Sum of all divisors σ(n): 39007312847193600
• Sum of proper divisors (its aliquot sum) s(n): 25028560374771200
• 13978752472422400 is an abundant number, because the sum of its proper divisors (25028560374771200) is greater than itself. Its abundance is 11049807902348800

Bases of 13978752472422400

• Binary: 110001101010011001100111101111100001011001100000000000₂
• Hexadecimal: 0x31A999EF859800
• Base-36: 3TN1Y8DDXJ4

Squares and roots of 13978752472422400

• 13978752472422400 squared (13978752472422400²) is 195405520685255360872524021760000
• 13978752472422400 cubed (13978752472422400³) is 2731525405403999801685499110489535937511424000000
• The square root of 13978752472422400 is 118231774.3773745451
• The cube root of 13978752472422400 is 240892.2371492473

Scales and comparisons

• 13,978,752,472,422,400 seconds is equal to 444,481,089 years, 26 weeks, 23 hours, 6 minutes, 40 seconds.
• To count from 1 to 13,978,752,472,422,400 would take you about one billion, three hundred thirty-three million, four hundred forty-three thousand, two hundred sixty-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 13978752472422400 cubic inches would be around 20074.4 feet tall.

Recreational maths with 13978752472422400

• 13978752472422400 backwards is 00422427425787931
• The number of decimal digits it has is: 17
• The sum of 13978752472422400's digits is 67
• More coming soon!