13968760034400
13,968,760,034,400 is an even composite number composed of six prime numbers multiplied together.
13968760034400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 13968760034400:
25 × 3 × 52 × 232 × 312 × 1072
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 23 × 31 × 31 × 107 × 107)See below for interesting mathematical facts about the number 13968760034400 from the Numbermatics database.
Names of 13968760034400
- Cardinal: 13968760034400 can be written as Thirteen trillion, nine hundred sixty-eight billion, seven hundred sixty million, thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.39687600344 × 1013
Factors of 13968760034400
Divisors of 13968760034400
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 31 32 40 46 48 50 60 62 69 75 80 92 93 96 100 107 115 120 124 138 150 155 160 184 186 200 214 230 240 248 276 300 310 321 345 368 372 400 428 460 465 480 496 529 535 552 575 600 620 642 690 713 736 744 775 800 856 920 930 961 992 1058 1070 1104 1150 1200 1240 1284 1380 1426 1488 1550 1587 1605 1712 1725 1840 1860 1922 2116 2139 2140 2208 2300 2325 2400 2461 2480 2568 2645 2675 2760 2852 2883 2976 3100 3174 3210 3317 3424 3450 3565 3680 3720 3844 4232 4278 4280 4600 4650 4805 4922 4960 5136 5290 5350 5520 5704 5766 6200 6348 6420 6634 6900 7130 7383 7440 7688 7935 8025 8464 8556 8560 9200 9300 9610 9844 9951 10272 10580 10695 10700 11040 11408 11449 11532 12305 12400 12696 12840 13225 13268 13800 14260 14415 14766 14880 15376 15870 16050 16399 16585 16928 17112 17120 17825 18400 18600 19220 19688 19902 21160 21390 21400 22103 22816 22898 23064 24025 24610 24800 25392 25680 26450 26536 27600 28520 28830 29532 30752 31740 32100 32798 33170 34224 34347 35650 36915 37200 38440 39376 39675 39804 42320 42780 42800 44206 45796 46128 48050 49197 49220 49755 50784 51360 52900 53072 53475 55200 56603 57040 57245 57660 59064 61525 63480 64200 65596 66309 66340 68448 68694 71300 72075 73830 74400 76291 76880 78752 79350 79608 81995 82925 84640 85560 85600 88412 91592 92256 96100 98394 98440 99510 102827 105800 106144 106950 110515 113206 114080 114490 115320 118128 123050 126960 128400 131192 132618 132680 137388 142600 144150 147660 152582 153760 158700 159216 163990 165850 169809 171120 171735 176824 183184 184575 192200 196788 196880 199020 205654 211600 213900 221030 226412 228873 228980 230640 236256 245985 246100 248775 253920 256800 262384 263327 265236 265360 274776 283015 285200 286225 288300 295320 305164 308481 317400 318432 327980 331545 331700 339618 342240 343470 353648 354919 366368 369150 381455 384400 393576 393760 398040 409975 411308 423200 427800 442060 452824 457746 457960 461280 491970 492200 497550 508369 514135 524768 526654 530472 530720 549552 552575 566030 570400 572450 576600 590640 610328 616962 634800 655960 663090 663400 679236 686940 707296 709838 738300 762910 768800 787152 789981 796080 819950 822616 849045 855600 858675 884120 905648 915492 915920 983940 984400 995100 1016738 1028270 1053308 1060944 1064757 1099104 1105150 1132060 1144365 1144900 1153200 1181280 1220656 1229925 1233924 1269600 1311920 1316635 1326180 1326800 1358472 1373880 1415075 1419676 1476600 1525107 1525820 1542405 1574304 1579962 1592160 1639900 1645232 1657725 1698090 1711200 1717350 1754693 1768240 1774595 1811296 1830984 1831840 1907275 1967880 1968800 1990200 2033476 2056540 2106616 2121888 2129514 2210300 2264120 2288730 2289800 2306400 2365021 2441312 2459850 2467848 2541845 2570675 2623840 2633270 2652360 2653600 2716944 2747760 2830150 2839352 2953200 3050214 3051640 3084810 3159924 3279800 3290464 3315450 3396180 3434700 3509386 3536480 3549190 3661968 3814550 3935760 3949905 3980400 4066952 4113080 4213232 4245225 4259028 4420600 4528240 4577460 4579600 4730042 4919700 4935696 5083690 5141350 5264079 5266540 5304720 5323785 5433888 5495520 5660300 5678704 5721825 5906400 6056521 6100428 6103280 6169620 6319848 6559600 6583175 6630900 6792360 6869400 7018772 7095063 7098380 7323936 7625535 7629100 7712025 7871520 7899810 7960800 8133904 8163137 8226160 8426464 8490450 8518056 8773465 8841200 8872975 9056480 9154920 9159200 9460084 9839400 9871392 10167380 10282700 10528158 10533080 10609440 10647570 11002489 11320600 11357408 11443650 11825105 12113042 12200856 12206560 12339240 12639696 12709225 13119200 13166350 13261800 13584720 13738800 14037544 14190126 14196760 15251070 15258200 15424050 15799620 16267808 16326274 16452320 16980900 17036112 17546930 17682400 17745950 18169563 18309840 18920168 19678800 19749525 20334760 20565400 21056316 21066160 21295140 22004978 22641200 22887300 23650210 24226084 24401712 24489411 24678480 25279392 25418450 26320395 26332700 26523600 26618925 27169440 27477600 28075088 28380252 28393520 30282605 30502140 30516400 30848100 31599240 32652548 33007467 33961800 34072224 35093860 35475315 35491900 36339126 36619680 37840336 38127675 39357600 39499050 40669520 40815685 41130800 42112632 42132320 42590280 43867325 44009956 45282400 45774600 47300420 48452168 48803424 48978822 49356960 50836900 52640790 52665400 53047200 53237850 54395483 55012445 56150176 56760504 56787040 59125525 60565210 61004280 61032800 61696200 63198480 65305096 66014934 67923600 70187720 70950630 70983800 72678252 75680672 76255350 78998100 81339040 81631370 82261600 84225264 85180560 87734650 88019912 90847815 91549200 94600840 96904336 97957644 101673800 105281580 105330800 106475700 108790966 110024890 113521008 118251050 121130420 122008560 122447055 123392400 126396960 130610192 131601975 132029868 135847200 140375440 141901260 141967600 145356504 151413025 152510700 157996200 163186449 163262740 165037335 168450528 170361120 175469300 176039824 177376575 181695630 183098400 187752151 189201680 193808672 195915288 203347600 204078425 210563160 210661600 212951400 217581932 220049780 227042016 236502100 242260840 244017120 244894110 246784800 253057247 261220384 263203950 264059736 271977415 275062225 280750880 283802520 283935200 290713008 302826050 305021400 315992400 326372898 326525480 330074670 350938600 352079648 354753150 363391260 375504302 378403360 391830576 406695200 408156850 421126320 425902800 435163864 440099560 454239075 473004200 484521680 489788220 506114494 526407900 528119472 543954830 550124450 563256453 567605040 581426016 605652100 610042800 612235275 631984800 652745796 653050960 660149340 701877200 709506300 726782520 751008604 759171741 783661152 815932245 816313700 825186675 842252640 851805600 870327728 880199120 908478150 938760755 946008400 969043360 979576440 1012228988 1052815800 1056238944 1087909660 1100248900 1126512906 1135210080 1211304200 1220085600 1224470550 1265286235 1305491592 1306101920 1320298680 1359887075 1403754400 1419012600 1453565040 1502017208 1518343482 1631864490 1632627400 1650373350 1740655456 1760398240 1816956300 1877521510 1892016800 1959152880 2024457976 2105631600 2175819320 2200497800 2253025812 2422608400 2448941100 2530572470 2610983184 2640597360 2719774150 2816282265 2838025200 2907130080 3004034416 3036686964 3263728980 3265254800 3300746700 3633912600 3755043020 3795858705 3918305760 4048915952 4079661225 4211263200 4351638640 4400995600 4506051624 4693803775 4845216800 4897882200 5061144940 5221966368 5281194720 5439548300 5632564530 5676050400 5820316681 6008068832 6073373928 6326431175 6527457960 6530509600 6601493400 7267825200 7510086040 7591717410 8097831904 8159322450 8703277280 8801991200 9012103248 9387607550 9795764400 10122289880 10879096600 11265129060 11640633362 12146747856 12652862350 13054915920 13202986800 14081411325 14535650400 15020172080 15183434820 16318644900 17460950043 18024206496 18775215100 18979293525 19591528800 20244579760 21758193200 22530258120 23281266724 24293495712 25305724700 26109831840 26405973600 28162822650 29101583405 30040344160 30366869640 32637289800 34921900086 37550430200 37958587050 40489159520 43516386400 45060516240 46562533448 50611449400 56325645300 58203166810 60733739280 65274579600 69843800172 75100860400 75917174100 87304750215 90121032480 93125066896 101222898800 112651290600 116406333620 121467478560 130549159200 139687600344 145507917025 150201720800 151834348200 174609500430 186250133792 202445797600 225302581200 232812667240 279375200688 291015834050 303668696400 349219000860 436523751075 450605162400 465625334480 558750401376 582031668100 607337392800 698438001720 873047502150 931250668960 1164063336200 1396876003440 1746095004300 2328126672400 2793752006880 3492190008600 4656253344800 6984380017200 13968760034400
- Sum of all divisors σ(n): 49577169459636
- Sum of proper divisors (its aliquot sum) s(n): 35608409425236
- 13968760034400 is an abundant number, because the sum of its proper divisors (35608409425236) is greater than itself. Its abundance is 21639649390836
Bases of 13968760034400
- Binary: 110010110100010110101111101011010100011000002
- Hexadecimal: 0xCB45AFAD460
- Base-36: 4Y95R282O
Squares and roots of 13968760034400
- 13968760034400 squared (139687600344002) is 195126256898650689183360000
- 13968760034400 cubed (139687600344003) is 2725671859027939038350535541507584000000
-
The
square root of 13968760034400 is 3737480.4393334289 -
The
cube root of 13968760034400 is 24083.4824430939
Scales and comparisons
How big is 13968760034400?- 13,968,760,034,400 seconds is equal to 444,163 years, 18 weeks, 5 days, 8 hours, 40 minutes.
-
To count from 1 to 13,968,760,034,400 would take you about one million, one hundred ten thousand, four hundred 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 13968760034400 cubic inches would be around 2007 feet tall.
Recreational maths with 13968760034400
- 13968760034400 backwards is 00443006786931
- The number of decimal digits it has is: 14
- The sum of 13968760034400's digits is 51
- 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 13968760034400 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 13968760034400 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/13968760034400/
Chicago style:
Numbermatics. 2024. "Number 13968760034400 - Facts about the integer". https://numbermatics.com/n/13968760034400/
The information we have on file for 13968760034400 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 13968760034400, math, Factors of 13968760034400, curriculum, school, college, exams, university, Prime factorization of 13968760034400, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, nine hundred sixty-eight billion, seven hundred sixty million, thirty-four thousand, four hundred.