13874308968000
13,874,308,968,000 is an even composite number composed of seven prime numbers multiplied together.
13874308968000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 13874308968000:
26 × 3 × 53 × 13 × 61 × 89 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 61 × 89 × 8191)See below for interesting mathematical facts about the number 13874308968000 from the Numbermatics database.
Names of 13874308968000
- Cardinal: 13874308968000 can be written as Thirteen trillion, eight hundred seventy-four billion, three hundred eight million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3874308968 × 1013
Factors of 13874308968000
Divisors of 13874308968000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 61 64 65 75 78 80 89 96 100 104 120 122 125 130 150 156 160 178 183 192 195 200 208 240 244 250 260 267 300 305 312 320 325 356 366 375 390 400 416 445 480 488 500 520 534 600 610 624 650 712 732 750 780 793 800 832 890 915 960 975 976 1000 1040 1068 1157 1200 1220 1248 1300 1335 1424 1464 1500 1525 1560 1586 1600 1625 1780 1830 1950 1952 2000 2080 2136 2225 2314 2379 2400 2440 2496 2600 2670 2848 2928 3000 3050 3120 3172 3250 3471 3560 3660 3900 3904 3965 4000 4160 4272 4450 4575 4628 4758 4800 4875 4880 5200 5340 5429 5696 5785 5856 6000 6100 6240 6344 6500 6675 6942 7120 7320 7625 7800 7930 8000 8191 8544 8900 9150 9256 9516 9750 9760 10400 10680 10858 11125 11570 11712 11895 12000 12200 12480 12688 13000 13350 13884 14240 14640 15250 15600 15860 16287 16382 17088 17355 17800 18300 18512 19032 19500 19520 19825 20800 21360 21716 22250 22875 23140 23790 24000 24400 24573 25376 26000 26700 27145 27768 28480 28925 29280 30500 31200 31720 32574 32764 33375 34710 35600 36600 37024 38064 39000 39650 40955 42720 43432 44500 45750 46280 47580 48800 49146 50752 52000 53400 54290 55536 57850 58560 59475 61000 62400 63440 65148 65528 66750 69420 70577 71200 73200 74048 76128 78000 79300 81435 81910 85440 86775 86864 89000 91500 92560 95160 97600 98292 99125 104000 106483 106800 108580 111072 115700 118950 122000 122865 126880 130296 131056 133500 135725 138840 141154 142400 144625 146400 152256 156000 158600 162870 163820 173550 173728 178000 183000 185120 190320 196584 198250 204775 211731 212966 213600 217160 222144 231400 237900 244000 245730 253760 260592 262112 267000 271450 277680 282308 289250 292800 297375 312000 317200 319449 325740 327640 347100 347456 352885 356000 366000 370240 380640 393168 396500 407175 409550 423462 425932 427200 433875 434320 462800 475800 488000 491460 499651 521184 524224 532415 534000 542900 555360 564616 578500 594750 614325 634400 638898 651480 655280 678625 694200 705770 712000 728999 732000 761280 786336 793000 814350 819100 846924 851864 867750 868640 925600 951600 982920 999302 1023875 1042368 1058655 1064830 1068000 1085800 1110720 1129232 1157000 1189500 1228650 1268800 1277796 1302960 1310560 1357250 1388400 1411540 1457998 1464000 1498953 1572672 1586000 1597245 1628700 1638200 1693848 1703728 1735500 1737280 1764425 1851200 1903200 1965840 1998604 2035875 2047750 2117310 2129660 2136000 2171600 2186997 2258464 2314000 2379000 2457300 2498255 2555592 2605920 2621120 2662075 2714500 2776800 2823080 2915996 2997906 3071625 3172000 3194490 3257400 3276400 3387696 3407456 3471000 3528850 3644995 3806400 3931680 3997208 4071750 4095500 4234620 4259320 4343200 4373994 4516928 4628000 4758000 4914600 4996510 5111184 5211840 5293275 5324150 5429000 5553600 5646160 5831992 5995812 6143250 6344000 6388980 6495463 6514800 6552800 6775392 6814912 6942000 7057700 7289990 7494765 7863360 7986225 7994416 8143500 8191000 8469240 8518640 8686400 8747988 8822125 9256000 9476987 9516000 9829200 9993020 10222368 10586550 10648300 10858000 10934985 11292320 11663984 11991624 12286500 12491275 12777960 12990926 13029600 13105600 13310375 13550784 13884000 14115400 14579980 14989530 15972450 15988832 16287000 16382000 16938480 17037280 17495976 17644250 18224975 18953974 19032000 19486389 19658400 19986040 20444736 21173100 21296600 21716000 21869970 22584640 23327968 23983248 24573000 24982550 25555920 25981852 26059200 26466375 26620750 27768000 28230800 28430961 29159960 29979060 31944900 31977664 32477315 32574000 32764000 33876960 34074560 34991952 35288500 36449950 37473825 37907948 38972778 39316800 39931125 39972080 42346200 42593200 43432000 43739940 44468939 46655936 47384935 47966496 49146000 49965100 51111840 51963704 52932750 53241500 54674925 56461600 56861922 58319920 59958120 62456375 63889800 64954630 65148000 65528000 67753920 69983904 70577000 72899900 74947650 75815896 77945556 79862250 79944160 84692400 85186400 87479880 88937878 91124875 94769870 95932992 97431945 98292000 99930200 102223680 103927408 105865500 106483000 109349850 112923200 113723844 116639840 119916240 124912750 127779600 129909260 130296000 133406817 139967808 141154000 142154805 145799800 149895300 151631792 155891112 159724500 159888320 162386575 169384800 170372800 174959760 177875756 182249750 187369125 189539740 194863890 196584000 199860400 207854816 211731000 212966000 218699700 222344695 227447688 233279680 236924675 239832480 249825500 255559200 259818520 266813634 273374625 282308000 284309610 291599600 299790600 303263584 311782224 319449000 324773150 338769600 349919520 355751512 364499500 374738250 379079480 389727780 399720800 415709632 423462000 425932000 437399400 444689390 454895376 473849350 479664960 487159725 499651000 511118400 519637040 533627268 546749250 564616000 568619220 578096207 583199200 599581200 606527168 623564448 638898000 649546300 667034085 699839040 710774025 711503024 728999000 749476500 758158960 779455560 799441600 811932875 846924000 851864000 874798800 889378780 909790752 947698700 974319450 999302000 1039274080 1067254536 1093498500 1111723475 1137238440 1156192414 1166398400 1184623375 1199162400 1247128896 1277796000 1299092600 1334068170 1421548050 1423006048 1457998000 1498953000 1516317920 1558911120 1623865750 1693848000 1734288621 1749597600 1778757560 1819581504 1895397400 1948638900 1998604000 2078548160 2134509072 2186997000 2223446950 2274476880 2312384828 2369246750 2398324800 2435798625 2555592000 2598185200 2668136340 2843096100 2846012096 2890481035 2915996000 2997906000 3032635840 3117822240 3247731500 3335170425 3468577242 3499195200 3553870125 3557515120 3790794800 3897277800 3997208000 4269018144 4373994000 4446893900 4548953760 4624769656 4738493500 4871597250 5196370400 5336272680 5558617375 5686192200 5780962070 5831992000 5995812000 6235644480 6495463000 6670340850 6937154484 7107740250 7115030240 7581589600 7794555600 8538036288 8671443105 8747988000 8893787800 9097907520 9249539312 9476987000 9743194500 10392740800 10672545360 11117234750 11372384400 11561924140 11991624000 12990926000 13340681700 13874308968 14215480500 14230060480 14452405175 15163179200 15589111200 16675852125 17342886210 17495976000 17787575600 18499078624 18953974000 19486389000 21345090720 22234469500 22744768800 23123848280 25981852000 26681363400 27748617936 28430961000 28904810350 31178222400 33351704250 34685772420 35575151200 36998157248 37907948000 38972778000 42690181440 43357215525 44468939000 45489537600 46247696560 51963704000 53362726800 55497235872 56861922000 57809620700 66703408500 69371544840 71150302400 72262025875 75815896000 77945556000 86714431050 88937878000 92495393120 106725453600 110994471744 113723844000 115619241400 133406817000 138743089680 144524051750 155891112000 173428862100 177875756000 184990786240 213450907200 216786077625 227447688000 231238482800 266813634000 277486179360 289048103500 346857724200 355751512000 433572155250 462476965600 533627268000 554972358720 578096207000 693715448400 867144310500 924953931200 1067254536000 1156192414000 1387430896800 1734288621000 2312384828000 2774861793600 3468577242000 4624769656000 6937154484000 13874308968000
- Sum of all divisors σ(n): 50715474001920
- Sum of proper divisors (its aliquot sum) s(n): 36841165033920
- 13874308968000 is an abundant number, because the sum of its proper divisors (36841165033920) is greater than itself. Its abundance is 22966856065920
Bases of 13874308968000
- Binary: 110010011110010111010100000111101110010000002
- Hexadecimal: 0xC9E5D41EE40
- Base-36: 4X1RPC2TC
Squares and roots of 13874308968000
- 13874308968000 squared (138743089680002) is 192496449339525225024000000
- 13874308968000 cubed (138743089680003) is 2670755213379532506412701215232000000000
-
The
square root of 13874308968000 is 3724823.3472206437 -
The
cube root of 13874308968000 is 24029.0787396693
Scales and comparisons
How big is 13874308968000?- 13,874,308,968,000 seconds is equal to 441,160 years, 5 weeks, 4 days, 17 hours, 20 minutes.
-
To count from 1 to 13,874,308,968,000 would take you about one million, one hundred two thousand, nine hundred 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 13874308968000 cubic inches would be around 2002.4 feet tall.
Recreational maths with 13874308968000
- 13874308968000 backwards is 00086980347831
- The number of decimal digits it has is: 14
- The sum of 13874308968000's digits is 57
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13874308968000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 13874308968000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/13874308968000/
Chicago style:
Numbermatics. 2024. "Number 13874308968000 - Facts about the integer". https://numbermatics.com/n/13874308968000/
The information we have on file for 13874308968000 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!
Keywords: Divisors of 13874308968000, math, Factors of 13874308968000, curriculum, school, college, exams, university, Prime factorization of 13874308968000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, eight hundred seventy-four billion, three hundred eight million, nine hundred sixty-eight thousand.