13968428696090400
13,968,428,696,090,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13968428696090400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
13968428696090400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13968428696090400:
25 × 3 × 52 × 73 × 292 × 53 × 6172
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 29 × 29 × 53 × 617 × 617)See below for interesting mathematical facts about the number 13968428696090400 from the Numbermatics database.
Names of 13968428696090400
- Cardinal: 13968428696090400 can be written as Thirteen quadrillion, nine hundred sixty-eight trillion, four hundred twenty-eight billion, six hundred ninety-six million, ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.39684286960904 × 1016
Factors of 13968428696090400
Divisors of 13968428696090400
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 32 35 40 42 48 49 50 53 56 58 60 70 75 80 84 87 96 98 100 105 106 112 116 120 140 145 147 150 159 160 168 174 175 196 200 203 210 212 224 232 240 245 265 280 290 294 300 318 336 343 348 350 371 392 400 406 420 424 435 464 480 490 525 530 560 580 588 600 609 617 636 672 686 696 700 725 735 742 784 795 800 812 840 841 848 870 928 980 1015 1029 1050 1060 1113 1120 1160 1176 1200 1218 1225 1234 1272 1325 1372 1392 1400 1421 1450 1470 1484 1537 1568 1590 1624 1680 1682 1696 1715 1740 1851 1855 1960 2030 2058 2100 2120 2175 2226 2320 2352 2400 2436 2450 2468 2523 2544 2597 2650 2744 2784 2800 2842 2900 2940 2968 3045 3074 3085 3180 3248 3360 3364 3430 3480 3675 3702 3710 3920 3975 4060 4116 4200 4205 4240 4263 4319 4350 4452 4611 4640 4704 4872 4900 4936 5046 5075 5088 5145 5194 5300 5488 5565 5600 5684 5800 5880 5887 5936 6090 6148 6170 6360 6496 6728 6860 6960 7105 7350 7404 7420 7685 7791 7840 7950 8120 8232 8400 8410 8480 8526 8575 8638 8700 8904 9222 9255 9275 9744 9800 9872 9947 10092 10150 10290 10388 10600 10759 10976 11130 11368 11600 11760 11774 11872 12180 12296 12340 12615 12720 12957 12985 13456 13720 13920 14210 14700 14808 14840 15225 15370 15425 15582 15900 16240 16464 16800 16820 17052 17150 17276 17400 17661 17808 17893 18179 18444 18510 18550 19488 19600 19744 19894 20184 20300 20580 20776 21025 21200 21315 21518 21595 22260 22736 23055 23200 23520 23548 24360 24592 24680 25230 25440 25725 25914 25970 26912 27440 27825 28420 29400 29435 29616 29680 29841 30233 30450 30740 30850 31164 31800 32277 32480 32701 32928 33640 34104 34300 34552 34800 35322 35525 35616 35786 36358 36888 37020 37100 38425 38955 39200 39788 40368 40600 41160 41209 41552 42050 42400 42630 43036 43190 44520 44573 45472 46110 46275 47096 48720 49184 49360 49735 50460 51450 51828 51940 53679 53795 54537 54880 55650 56840 58800 58870 59232 59360 59682 60466 60900 61480 61700 62328 63075 63600 64554 64785 64925 65402 67280 68208 68600 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404272652700 407242819128 409583295100 415232719860 424211269925 427156010400 430062459855 432767255200 439258764028 448223228600 452785371024 454405617960 458733290512 462025888800 468095194400 470634390030 471651428150 474551679840 475116622316 491499954120 502010016032 509053523910 519040899825 537867874320 539030203600 542990425504 549073455035 553643626480 565981713780 568007022450 573416613140 593189599800 593895777895 602087443797 605874157280 614374942650 627512520040 646836244320 649150882800 655333272160 658888146042 664372351776 672334842900 678738031880 688099935768 692054533100 702142791600 707477142225 712674933474 716770766425 753015024048 754642285040 757342696600 768382677600 780664432800 784390650050 790919466400 802783258396 808545305400 814485638256 819166590200 830465439720 831454089053 848422539850 860124919710 878517528056 896446457200 905570742048 908811235920 917466581024 941268780060 943302856300 950233244632 982999908240 1003479072995 1018107047820 1038081799650 1075735748640 1078060407200 1098146910070 1107287252960 1131963427560 1136014044900 1146833226280 1176585975075 1186379199600 1187791555790 1204174887594 1228749885300 1255025040080 1272633809775 1298301765600 1317776292084 1344669685800 1357476063760 1376199871536 1384109066200 1404285583200 1414954284450 1425349866948 1433541532850 1506030048096 1509284570080 1514685393200 1568781300100 1605566516792 1617090610800 1628971276512 1638333180400 1647220365105 1660930879440 1662908178106 1696845079700 1720249839420 1757035056112 1781687333685 1792892914400 1817622471840 1882537560120 1886605712600 1900466489264 1965999816480 2006958145990 2036214095640 2076163599300 2150312299275 2196293820140 2263926855120 2272028089800 2293666452560 2353171950150 2372758399200 2375583111580 2408349775188 2457499770600 2494362267159 2510050080160 2545267619550 2635552584168 2689339371600 2714952127520 2745367275175 2752399743072 2768218132400 2829908568900 2850699733896 2867083065700 2969478889475 3010437218985 3029370786400 3137562600200 3211133033584 3234181221600 3276666360800 3294440730210 3321861758880 3325816356212 3393690159400 3440499678840 3514070112224 3563374667370 3765075120240 3773211425200 3800932978528 4013916291980 4072428191280 4152327198600 4157270445265 4300624598550 4392587640280 4527853710240 4544056179600 4587332905120 4706343900300 4751166223160 4816699550376 4914999541200 4988724534318 5017395364975 5090535239100 5271105168336 5378678743200 5490734550350 5536436264800 5659817137800 5701399467792 5734166131400 5820178623371 5938957778950 6020874437970 6275125200400 6422266067168 6588881460420 6651632712424 6787380318800 6880999357680 7126749334740 7530150240480 7546422850400 8027832583960 8144856382560 8236101825525 8304654397200 8314540890530 8601249197100 8785175280560 8908436668425 9088112359200 9412687800600 9502332446320 9633399100752 9829999082400 9977449068636 10034790729950 10181070478200 10542210336672 10981469100700 11319634275600 11402798935584 11468332262800 11640357246742 11877915557900 12041748875940 12471811335795 12550250400800 13177762920840 13303265424848 13574760637600 13761998715360 14253498669480 15052186094925 16055665167920 16472203651050 16609308794400 16629081781060 17202498394200 17460535870113 17570350561120 17816873336850 18825375601200 19004664892640 19266798201504 19954898137272 20069581459900 20362140956400 20786352226325 21962938201400 22639268551200 22936664525600 23280714493484 23755831115800 24083497751880 24943622671590 26355525841680 26606530849696 28506997338960 29100893116855 30104372189850 32111330335840 32944407302100 33258163562120 34404996788400 34921071740226 35633746673700 37650751202400 39909796274544 40139162919800 40724281912800 41572704452650 43925876402800 46561428986968 47511662231600 48166995503760 49887245343180 52711051683360 57013994677920 58201786233710 60208744379700 62359056678975 65888814604200 66516327124240 68809993576800 69842143480452 71267493347400 79819592549088 80278325839600 83145408905300 87302679350565 87851752805600 93122857973936 95023324463200 96333991007520 99774490686360 116403572467420 120417488759400 124718113357950 131777629208400 133032654248480 139684286960904 142534986694800 145504465584275 160556651679200 166290817810600 174605358701130 186245715947872 199548981372720 232807144934840 240834977518800 249436226715900 263555258416800 279368573921808 285069973389600 291008931168550 332581635621200 349210717402260 399097962745440 436513396752825 465614289869680 481669955037600 498872453431800 558737147843616 582017862337100 665163271242400 698421434804520 873026793505650 931228579739360 997744906863600 1164035724674200 1396842869609040 1746053587011300 1995489813727200 2328071449348400 2793685739218080 3492107174022600 4656142898696800 6984214348045200 13968428696090400
- Sum of all divisors σ(n): 56041392615062400
- Sum of proper divisors (its aliquot sum) s(n): 42072963918972000
- 13968428696090400 is an abundant number, because the sum of its proper divisors (42072963918972000) is greater than itself. Its abundance is 28104535222881600
Bases of 13968428696090400
- Binary: 1100011010000000110110001111101000000000110111001000002
- Hexadecimal: 0x31A0363E803720
- Base-36: 3TJE7JZIE5C
Squares and roots of 13968428696090400
- 13968428696090400 squared (139684286960904002) is 195117000237761752324244972160000
- 13968428696090400 cubed (139684286960904003) is 2725477905216228660798721828063576848843264000000
-
The
square root of 13968428696090400 is 118188107.2531851659 -
The
cube root of 13968428696090400 is 240832.9202191037
Scales and comparisons
How big is 13968428696090400?- 13,968,428,696,090,400 seconds is equal to 444,152,825 years, 18 weeks, 23 hours, 20 minutes.
-
To count from 1 to 13,968,428,696,090,400 would take you about one billion, three hundred thirty-two million, four hundred fifty-eight thousand, four hundred seventy-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 13968428696090400 cubic inches would be around 20069.4 feet tall.
Recreational maths with 13968428696090400
- 13968428696090400 backwards is 00409069682486931
- 13968428696090400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13968428696090400's digits is 75
- More coming soon!
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Cite this page
MLA style:
"Number 13968428696090400 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 13968428696090400 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13968428696090400/
Chicago style:
Numbermatics. 2024. "Number 13968428696090400 - Facts about the integer". https://numbermatics.com/n/13968428696090400/
The information we have on file for 13968428696090400 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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