13688073938848400
13,688,073,938,848,400 is an even composite number composed of eight prime numbers multiplied together.
13688073938848400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13688073938848400:
24 × 52 × 72 × 13 × 37 × 79 × 941 × 19531
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 37 × 79 × 941 × 19531)See below for interesting mathematical facts about the number 13688073938848400 from the Numbermatics database.
Names of 13688073938848400
- Cardinal: 13688073938848400 can be written as Thirteen quadrillion, six hundred eighty-eight trillion, seventy-three billion, nine hundred thirty-eight million, eight hundred forty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.36880739388484 × 1016
Factors of 13688073938848400
Divisors of 13688073938848400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 37 40 49 50 52 56 65 70 74 79 80 91 98 100 104 112 130 140 148 158 175 182 185 196 200 208 245 259 260 280 296 316 325 350 364 370 392 395 400 455 481 490 518 520 553 560 592 632 637 650 700 728 740 784 790 910 925 941 962 980 1027 1036 1040 1106 1225 1264 1274 1295 1300 1400 1456 1480 1580 1813 1820 1850 1882 1924 1960 1975 2054 2072 2212 2275 2405 2450 2548 2590 2600 2765 2800 2923 2960 3160 3185 3367 3626 3640 3700 3764 3848 3871 3920 3950 4108 4144 4424 4550 4705 4810 4900 5096 5135 5180 5200 5530 5846 6320 6370 6475 6587 6734 7189 7252 7280 7400 7528 7696 7742 7900 8216 8848 9065 9100 9410 9620 9800 10192 10270 10360 11060 11692 12025 12233 12740 12950 13174 13468 13825 14378 14504 14615 14800 15056 15484 15800 15925 16432 16835 18130 18200 18820 19240 19355 19531 19600 20461 20540 20720 22120 23384 23525 23569 24050 24466 25480 25675 25900 26348 26936 27650 28756 29008 29230 30968 31600 31850 32935 33670 34817 35945 36260 36400 37640 37999 38480 38710 39062 40922 41080 44240 45325 46109 46768 47050 47138 48100 48932 50323 50960 51350 51800 52696 53872 55300 57512 58460 61165 61936 63700 65870 67340 69634 71890 72520 73075 74339 75280 75998 77420 78124 81844 82160 84175 85631 90650 92218 94100 94276 96200 96775 97655 97864 100646 102305 102700 103600 105392 110600 115024 116920 117845 122330 127400 131740 134680 136717 139268 143227 143780 145040 146150 148678 151996 154840 156248 163688 164675 168350 171262 174085 179725 181300 184436 188200 188552 189995 192400 193550 195310 195728 201292 204610 205400 221200 230545 233840 235690 243719 244660 251615 253903 254800 263480 265993 269360 273434 278536 286454 287560 292300 297356 303992 305825 309680 312496 327376 329350 336700 342524 348170 359450 362600 368872 371695 376400 377104 379990 387100 390620 402584 409220 410800 428155 452621 461090 471380 487438 488275 489320 503230 507806 511525 520373 526960 531986 546868 557072 572908 575120 584600 589225 594712 599417 607984 611650 658700 673400 683585 685048 696340 716135 718900 722647 725200 737744 743390 759980 774200 781240 805168 818440 856310 870425 905242 922180 942760 949975 957019 966407 974876 976550 978640 1006460 1015612 1023050 1040746 1063972 1093736 1145816 1152725 1169200 1178450 1189424 1198834 1218595 1223300 1258075 1269515 1317400 1329965 1346800 1367170 1370096 1392680 1432270 1437800 1445294 1486780 1519960 1542949 1548400 1562480 1636880 1706033 1712620 1740850 1777321 1810484 1844360 1858475 1861951 1885520 1899950 1914038 1932814 1949752 1953100 2012920 2031224 2046100 2081492 2127944 2140775 2187472 2263105 2291632 2305450 2356900 2397668 2437190 2446600 2516150 2539030 2601865 2634800 2659930 2734340 2750543 2785360 2864540 2875600 2890588 2973560 2997085 3039920 3085898 3168347 3412066 3417925 3425240 3481700 3554642 3580675 3613235 3620968 3642611 3688720 3716950 3723902 3799900 3828076 3865628 3899504 3906200 4025840 4062448 4092200 4162984 4255888 4281550 4526210 4610900 4713800 4785095 4795336 4832035 4874380 4893200 5032300 5058529 5078060 5203730 5319860 5468680 5501086 5729080 5781176 5947120 5994170 6092975 6171796 6336694 6347575 6649825 6764849 6824132 6835850 6850480 6963400 7109284 7161350 7226470 7241936 7285222 7433900 7447804 7599800 7656152 7714745 7731256 7812400 8184400 8325968 8530165 8563100 8886605 9052420 9221800 9309755 9394411 9427600 9570190 9590672 9664070 9748760 10064600 10117058 10156120 10407460 10639720 10800643 10937360 11002172 11315525 11458160 11562352 11988340 12185950 12343592 12441247 12673388 12695150 13009325 13299650 13529698 13648264 13671700 13752715 13926800 14218568 14322700 14452940 14570444 14867800 14895608 14985425 15199600 15312304 15429490 15462512 15841735 17060330 17126200 17773210 18066175 18104840 18213055 18378671 18443600 18619510 18788822 19140380 19253801 19328140 19497520 20058337 20129200 20234116 20312240 20814920 21279440 21601286 22004344 22178429 22631050 23925475 23976680 24160175 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6393980656 6432534850 6576087700 6689836244 6738830350 6800108270 7008383564 7020417950 7081940600 7151411800 7204439032 7259575045 7351468400 7365218224 7421584690 7560450100 7701520400 7862868104 7992475820 8023334800 8362295305 8760479455 8840140751 8871371600 9005548790 9206522780 9470788600 9520151578 9556908920 9828585130 9990594775 10011976520 10163405063 10292055760 10390218566 10782128560 10880173232 11189466148 11232668720 11417822600 11508153475 11615320072 11707213427 11874535504 11946136150 12514970650 12865069700 13152175400 13379672488 13477660700 13600216540 13986832685 14016767128 14040835900 14163881200 14302823600 14408878064 14519150090 14843169380 15120900200 15725736208 15984951640 16724590610 17000270675 17520958910 17680281502 18011097580 18413045560 18553961725 18874895117 18941577200 19040303156 19113817840 19657170260 19981189550 20023953040 20326810126 20780437132 22378932296 22513871975 22835645200 23016306950 23230640144 23414426854 23800378945 23892272300 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103902185660 107441710666 111894661480 116153200720 117072134270 119001894725 123761970514 129877732075 132124265819 133282122092 133796724880 136002165400 139868326850 140167671280 141442252016 142287670882 145191500900 145463059924 148431693800 150999160936 159849516400 162614481008 166602652615 167245906100 175209589100 176802815020 180110975800 181828824905 184130455600 187315414832 188748951170 190403031560 196571702600 203268101260 207804371320 214883421332 221003518775 223789322960 234144268540 238003789450 247523941028 254085126575 259755464150 264248531638 266564244184 268604276665 272004330800 279736653700 284575341764 290383001800 290926119848 292680335675 296863387600 301998321872 309404926285 333205305230 334491812200 350419178200 353605630040 355719177205 360221951600 363657649810 376045987331 377497902340 380806063120 393143405200 406536202520 415608742640 429766842664 433166896799 442007037550 468288537080 471872377925 476007578900 495047882056 508170253150 519510928300 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3332053052300 3465335174392 3491855596645 3536056300400 3557191772050 3636576498100 3699479442932 3760459873310 3774979023400 4065362025200 4297668426640 4331668967990 4624349303665 4682885370800 4888597835303 4950478820560 5264643822634 5284970632760 5372085533300 5586968954632 5691506835280 6016735797296 6188098525700 6606213290950 6664106104600 6930670348784 6983711193290 7114383544100 7273152996200 7398958885864 7520919746620 7549958046800 8663337935980 9248698607330 9401149683275 9777195670606 10529287645268 10569941265520 10744171066600 10829172419975 11173937909264 12376197051400 13161609556585 13212426581900 13328212209200 13967422386580 14228767088200 14546305992400 14797917771728 15041839493240 17326675871960 17459277983225 18497397214660 18802299366550 19554391341212 21058575290536 21488342133200 21658344839950 23121746518325 24442989176515 24752394102800 26323219113170 26424853163800 27934844773160 28457534176400 30083678986480 34220184847121 34653351743920 34918555966450 36994794429320 37604598733100 39108782682424 42117150581072 43316689679900 46243493036650 48885978353030 52646438226340 52849706327600 55869689546320 65808047782925 68440369694242 69837111932900 73989588858640 75209197466200 78217565364848 86633379359800 92486986073300 97771956706060 105292876452680 122214945882575 131616095565850 136880739388484 139674223865800 150418394932400 171100924235605 173266758719600 184973972146600 195543913412120 210585752905360 244429891765150 263232191131700 273761478776968 279348447731600 342201848471210 369947944293200 391087826824240 488859783530300 526464382263400 547522957553936 684403696942420 855504621178025 977719567060600 1052928764526800 1368807393884840 1711009242356050 1955439134121200 2737614787769680 3422018484712100 6844036969424200 13688073938848400
- Sum of all divisors σ(n): 42894092207393280
- Sum of proper divisors (its aliquot sum) s(n): 29206018268544880
- 13688073938848400 is an abundant number, because the sum of its proper divisors (29206018268544880) is greater than itself. Its abundance is 15517944329696480
Bases of 13688073938848400
- Binary: 1100001010000100111011000100001100100011001010100100002
- Hexadecimal: 0x30A13B10C8CA90
- Base-36: 3QS0MCVLEA8
Squares and roots of 13688073938848400
- 13688073938848400 squared (136880739388484002) is 187363368155380751702718182560000
- 13688073938848400 cubed (136880739388484003) is 2564643636742525483391850908202848227363904000000
-
The
square root of 13688073938848400 is 116996042.4067771619 -
The
cube root of 13688073938848400 is 239210.7985320881
Scales and comparisons
How big is 13688073938848400?- 13,688,073,938,848,400 seconds is equal to 435,238,411 years, 13 weeks, 4 days, 15 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,688,073,938,848,400 would take you about one billion, three hundred five million, seven hundred fifteen thousand, two hundred thirty-three 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 13688073938848400 cubic inches would be around 19934.2 feet tall.
Recreational maths with 13688073938848400
- 13688073938848400 backwards is 00484883937088631
- 13688073938848400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13688073938848400's digits is 80
- More coming soon!
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"Number 13688073938848400 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 13688073938848400 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/13688073938848400/
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The information we have on file for 13688073938848400 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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