13978737040016000
13,978,737,040,016,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13978737040016000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
13978737040016000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 13978737040016000:
27 × 53 × 7 × 53 × 131 × 3221 × 5581
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 53 × 131 × 3221 × 5581)See below for interesting mathematical facts about the number 13978737040016000 from the Numbermatics database.
Names of 13978737040016000
- Cardinal: 13978737040016000 can be written as Thirteen quadrillion, nine hundred seventy-eight trillion, seven hundred thirty-seven billion, forty million, sixteen thousand.
Scientific notation
- Scientific notation: 1.3978737040016 × 1016
Factors of 13978737040016000
Divisors of 13978737040016000
- Number of divisors d(n): 1024
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 53 56 64 70 80 100 106 112 125 128 131 140 160 175 200 212 224 250 262 265 280 320 350 371 400 424 448 500 524 530 560 640 655 700 742 800 848 875 896 917 1000 1048 1060 1120 1310 1325 1400 1484 1600 1696 1750 1834 1855 2000 2096 2120 2240 2620 2650 2800 2968 3200 3221 3275 3392 3500 3668 3710 4000 4192 4240 4480 4585 5240 5300 5581 5600 5936 6442 6550 6625 6784 6943 7000 7336 7420 8000 8384 8480 9170 9275 10480 10600 11162 11200 11872 12884 13100 13250 13886 14000 14672 14840 16000 16105 16375 16768 16960 18340 18550 20960 21200 22324 22400 22547 22925 23744 25768 26200 26500 27772 27905 28000 29344 29680 32210 32750 33920 34715 36680 37100 39067 41920 42400 44648 45094 45850 46375 47488 48601 51536 52400 53000 55544 55810 56000 58688 59360 64420 65500 69430 73360 74200 78134 80525 83840 84800 89296 90188 91700 92750 97202 103072 104800 106000 111088 111620 112000 112735 114625 117376 118720 128840 131000 138860 139525 146720 148400 156268 161050 169600 170713 173575 178592 180376 183400 185500 194404 195335 206144 209600 212000 222176 223240 225470 229250 237440 243005 257680 262000 277720 279050 293440 295793 296800 312536 322100 341426 347150 357184 360752 366800 371000 388808 390670 402625 412288 419200 421951 424000 444352 446480 450940 458500 486010 515360 524000 555440 558100 563675 586880 591586 593600 625072 644200 682852 694300 697625 714368 721504 731111 733600 742000 777616 781340 805250 843902 848000 853565 867875 888704 892960 901880 917000 972020 976675 1030720 1048000 1110880 1116200 1127350 1183172 1187200 1194991 1215025 1250144 1288400 1365704 1388600 1395250 1443008 1462222 1467200 1478965 1484000 1555232 1562680 1610500 1687804 1707130 1735750 1785920 1803760 1834000 1944040 1953350 2061440 2070551 2096000 2109755 2221760 2232400 2254700 2366344 2389982 2430050 2500288 2576800 2731408 2777200 2790500 2818375 2886016 2924444 2934400 2953657 2957930 2968000 3110464 3125360 3221000 3375608 3414260 3471500 3571840 3607520 3655555 3668000 3888080 3906700 4141102 4219510 4267825 4443520 4464800 4509400 4732688 4779964 4860100 4883375 5000576 5117777 5153600 5462816 5554400 5581000 5636750 5848888 5907314 5915860 5936000 5974955 6075125 6220928 6250720 6442000 6751216 6828520 6943000 7215040 7311110 7336000 7394825 7776160 7813400 8282204 8439020 8535650 8929600 9018800 9465376 9559928 9720200 9766750 10235554 10307200 10352755 10548775 10925632 11108800 11162000 11273500 11697776 11814628 11831720 11949910 12150250 12501440 12884000 13502432 13657040 13886000 14430080 14622220 14672000 14768285 14789650 15552320 15626800 16564408 16878040 17071300 17859200 17976401 18037600 18277775 18930752 19119856 19440400 19533500 20471108 20705510 21097550 21339125 21851264 22217600 22324000 22363403 22547000 23395552 23629256 23663440 23899820 24300500 25002880 25588885 25768000 27004864 27314080 27772000 29244440 29536570 29579300 29874775 31104640 31253600 33128816 33756080 34142600 35952802 36075200 36555550 36974125 37861504 38239712 38748883 38880800 39067000 40942216 41411020 42195100 42678250 44648000 44726806 45094000 46791104 47258512 47326880 47799640 48601000 51177770 51536000 51763775 52743875 54009728 54628160 55544000 58488880 59073140 59158600 59749550 62507200 66257632 67512160 68285200 71905604 72150400 73111100 73841425 73948250 76479424 77497766 77761600 78134000 81884432 82822040 84390200 85356500 89296000 89453612 89882005 90188000 91388875 93582208 94517024 94653760 95599280 97202000 102355540 103527550 105487750 109256320 111088000 111817015 116977760 118146280 118317200 119499100 125014400 125834807 127944425 132515264 135024320 136570400 143811208 146222200 147682850 147896500 149373875 152958848 154995532 155523200 156268000 156543821 163768864 165644080 168780400 170713000 178907224 179764010 180376000 182777750 189034048 189307520 191198560 193744415 194404000 204711080 207055100 210975500 223634030 233955520 236292560 236634400 238998200 251669614 255888850 258818875 265030528 270048640 271242181 273140800 287622416 292444400 295365700 295793000 298747750 309991064 312536000 313087642 327537728 331288160 337560800 341426000 357814448 359528020 360752000 365555500 369207125 378068096 382397120 387488830 388808000 409422160 414110200 421951000 447268060 449410025 467911040 472585120 473268800 477996400 503339228 511777700 517637750 542484362 546281600 559085075 575244832 584888800 590731400 591586000 597495500 619982128 625072000 626175284 629174035 639722125 655075456 662576320 675121600 682852000 715628896 719056040 731111000 738414250 764794240 774977660 777616000 782719105 818844320 828220400 843902000 894536120 898820050 945170240 946537600 952749253 955992800 968722075 1006678456 1023555400 1035275500 1084968724 1118170150 1150489664 1169777600 1181462800 1183172000 1194991000 1239964256 1252350568 1258348070 1279444250 1325152640 1350243200 1356210905 1365704000 1431257792 1438112080 1462222000 1476828500 1549955320 1565438210 1637688640 1656440800 1687804000 1789072240 1797640100 1890340480 1905498506 1911985600 1937444150 2013356912 2047110800 2070551000 2169937448 2236340300 2247050125 2300979328 2339555200 2354908531 2362925600 2366344000 2389982000 2479928512 2504701136 2516696140 2558888500 2712421810 2731408000 2795425375 2862515584 2876224160 2924444000 2953657000 3099910640 3130876420 3145870175 3275377280 3312881600 3375608000 3578144480 3595280200 3810997012 3823971200 3874888300 3913595525 4026713824 4094221600 4141102000 4339874896 4472680600 4494100250 4709817062 4725851200 4732688000 4763746265 4779964000 4843610375 4959857024 5009402272 5033392280 5117777000 5424843620 5590850750 5752448320 5848888000 5907314000 6199821280 6261752840 6291740350 6625763200 6669244771 6751216000 6781054525 7156288960 7190560400 7621994024 7749776600 7827191050 8053427648 8188443200 8282204000 8679749792 8945361200 8988200500 9419634124 9451702400 9527492530 9559928000 9687220750 10018804544 10066784560 10235554000 10849687240 11181701500 11504896640 11697776000 11774542655 11814628000 12399642560 12523505680 12583480700 13338489542 13562109050 14312577920 14381120800 15243988048 15499553200 15654382100 15729350875 16106855296 16376886400 16484359717 16564408000 17359499584 17890722400 17976401000 18839268248 19054985060 19119856000 19374441500 19567977625 20037609088 20133569120 20471108000 21699374480 22363403000 23549085310 23629256000 23818731325 24799285120 25047011360 25166961400 26676979084 27124218100 28762241600 30487976096 30999106400 31308764200 31458701750 32968719434 33128816000 33346223855 33905272625 34718999168 35781444800 35952802000 37678536496 38109970120 38748883000 39135955250 40267138240 40942216000 43398748960 44726806000 47098170620 47258512000 47637462650 50094022720 50333922800 53353958168 54248436200 57524483200 58872713275 60975952192 61998212800 62617528400 62917403500 65937438868 66692447710 67810545250 71562889600 71905604000 75357072992 76219940240 77497766000 78271910500 80534276480 81884432000 82421798585 86797497920 89453612000 94196341240 95274925300 100188045440 100667845600 106707916336 108496872400 117745426550 119093656625 121951904384 123996425600 124810152143 125235056800 125834807000 131874877736 133384895420 135621090500 143811208000 150714145984 152439880480 154995532000 156543821000 164843597170 166731119275 173594995840 178907224000 188392682480 190549850600 201335691200 213415832672 216993744800 235490853100 238187313250 249620304286 250470113600 251669614000 263749755472 266769790840 271242181000 287622416000 294363566375 301428291968 304879760960 309991064000 313087642000 329687194340 333462238550 357814448000 376785364960 381099701200 402671382400 412108992925 426831665344 433987489600 470981706200 476374626500 499240608572 500940227200 503339228000 527499510944 533539581680 542484362000 588727132750 609759521920 619982128000 624050760715 626175284000 659374388680 666924477100 753570729920 762199402400 824217985850 833655596375 853663330688 867974979200 873671065001 941963412400 952749253000 998481217144 1006678456000 1054999021888 1067079163360 1084968724000 1177454265500 1248101521430 1252350568000 1318748777360 1333848954200 1507141459840 1524398804800 1648435971700 1667311192750 1747342130002 1883926824800 1905498506000 1996962434288 2013356912000 2060544964625 2109998043776 2134158326720 2169937448000 2354908531000 2496203042860 2504701136000 2637497554720 2667697908400 3048797609600 3120253803575 3296871943400 3334622385500 3494684260004 3767853649600 3810997012000 3993924868576 4121089929250 4268316653440 4339874896000 4368355325005 4709817062000 4992406085720 5274995109440 5335395816800 6240507607150 6593743886800 6669244771000 6989368520008 7535707299200 7621994024000 7987849737152 8242179858500 8736710650010 9419634124000 9984812171440 10549990218880 10670791633600 12481015214300 13187487773600 13338489542000 13978737040016 15243988048000 15601269017875 15975699474304 16484359717000 17473421300020 18839268248000 19969624342880 21341583267200 21841776625025 24962030428600 26374975547200 26676979084000 27957474080032 31202538035750 32968719434000 34946842600040 37678536496000 39939248685760 43683553250050 49924060857200 52749951094400 53353958168000 55914948160064 62405076071500 65937438868000 69893685200080 79878497371520 87367106500100 99848121714400 106707916336000 109208883125125 111829896320128 124810152143000 131874877736000 139787370400160 174734213000200 199696243428800 218417766250250 249620304286000 263749755472000 279574740800320 349468426000400 399392486857600 436835532500500 499240608572000 559149481600640 698936852000800 873671065001000 998481217144000 1397873704001600 1747342130002000 1996962434288000 2795747408003200 3494684260004000 6989368520008000 13978737040016000
- Sum of all divisors σ(n): 40797901495802880
- Sum of proper divisors (its aliquot sum) s(n): 26819164455786880
- 13978737040016000 is an abundant number, because the sum of its proper divisors (26819164455786880) is greater than itself. Its abundance is 12840427415770880
Bases of 13978737040016000
- Binary: 1100011010100110010110010101111010110111000010100000002
- Hexadecimal: 0x31A99657ADC280
- Base-36: 3TN1R55BWJK
Squares and roots of 13978737040016000
- 13978737040016000 squared (139787370400160002) is 195405089233915281185280256000000
- 13978737040016000 cubed (139787370400160003) is 2731516358681763246754434861826846724096000000000
-
The
square root of 13978737040016000 is 118231709.1139936115 -
The
cube root of 13978737040016000 is 240892.1485016545
Scales and comparisons
How big is 13978737040016000?- 13,978,737,040,016,000 seconds is equal to 444,480,598 years, 41 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
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To count from 1 to 13,978,737,040,016,000 would take you about one billion, three hundred thirty-three million, four hundred forty-one thousand, seven hundred ninety-six 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 13978737040016000 cubic inches would be around 20074.3 feet tall.
Recreational maths with 13978737040016000
- 13978737040016000 backwards is 00061004073787931
- 13978737040016000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13978737040016000's digits is 56
- More coming soon!
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The information we have on file for 13978737040016000 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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