13689828807638400
13,689,828,807,638,400 is an even composite number composed of six prime numbers multiplied together.
13689828807638400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13689828807638400:
27 × 33 × 52 × 127 × 461 × 2706323
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 127 × 461 × 2706323)See below for interesting mathematical facts about the number 13689828807638400 from the Numbermatics database.
Names of 13689828807638400
- Cardinal: 13689828807638400 can be written as Thirteen quadrillion, six hundred eighty-nine trillion, eight hundred twenty-eight billion, eight hundred seven million, six hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.36898288076384 × 1016
Factors of 13689828807638400
Divisors of 13689828807638400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 127 128 135 144 150 160 180 192 200 216 225 240 254 270 288 300 320 360 381 384 400 432 450 461 480 508 540 576 600 635 640 675 720 762 800 864 900 922 960 1016 1080 1143 1152 1200 1270 1350 1383 1440 1524 1600 1728 1800 1844 1905 1920 2032 2160 2286 2305 2400 2540 2700 2766 2880 3048 3175 3200 3429 3456 3600 3688 3810 4064 4149 4320 4572 4610 4800 5080 5400 5532 5715 5760 6096 6350 6858 6915 7200 7376 7620 8128 8298 8640 9144 9220 9525 9600 10160 10800 11064 11430 11525 12192 12447 12700 13716 13830 14400 14752 15240 16256 16596 17145 17280 18288 18440 19050 20320 20745 21600 22128 22860 23050 24384 24894 25400 27432 27660 28575 28800 29504 30480 33192 34290 34575 36576 36880 38100 40640 41490 43200 44256 45720 46100 48768 49788 50800 54864 55320 57150 58547 59008 60960 62235 66384 68580 69150 73152 73760 76200 81280 82980 85725 86400 88512 91440 92200 99576 101600 103725 109728 110640 114300 117094 121920 124470 132768 137160 138300 146304 147520 152400 165960 171450 175641 177024 182880 184400 199152 203200 207450 219456 221280 228600 234188 243840 248940 265536 274320 276600 292735 295040 304800 311175 331920 342900 351282 365760 368800 398304 406400 414900 438912 442560 457200 468376 497880 526923 531072 548640 553200 585470 609600 622350 663840 685800 702564 731520 737600 796608 829800 878205 885120 914400 936752 995760 1053846 1097280 1106400 1170940 1219200 1244700 1327680 1371600 1405128 1463675 1475200 1580769 1593216 1659600 1756410 1828800 1873504 1991520 2107692 2194560 2212800 2341880 2489400 2634615 2655360 2706323 2743200 2810256 2927350 3161538 3319200 3512820 3657600 3747008 3983040 4215384 4391025 4425600 4683760 4978800 5269230 5412646 5486400 5620512 5854700 6323076 6638400 7025640 7494016 7903845 7966080 8118969 8430768 8782050 9367520 9957600 10538460 10825292 10972800 11241024 11709400 12646152 13173075 13276800 13531615 14051280 15807690 16237938 16861536 17564100 18735040 19915200 21076920 21650584 22482048 23418800 24356907 25292304 26346150 27063230 28102560 31615380 32475876 33723072 35128200 37470080 39519225 39830400 40594845 42153840 43301168 46837600 48713814 50584608 52692300 54126460 56205120 63230760 64951752 67446144 67658075 70256400 73070721 79038450 81189690 84307680 86602336 93675200 97427628 101169216 105384600 108252920 112410240 121784535 126461520 129903504 135316150 140512800 146141442 158076900 162379380 168615360 173204672 187350400 194855256 202338432 202974225 210769200 216505840 243569070 252923040 259807008 270632300 281025600 292282884 316153800 324758760 337230720 343703021 346409344 365353605 389710512 405948450 421538400 433011680 487138140 505846080 519614016 541264600 562051200 584565768 608922675 632307600 649517520 687406042 730707210 779421024 811896900 843076800 866023360 974276280 1011692160 1031109063 1039228032 1082529200 1169131536 1217845350 1247614903 1264615200 1299035040 1374812084 1461414420 1558842048 1623793800 1686153600 1718515105 1732046720 1826768025 1948552560 2062218126 2165058400 2338263072 2435690700 2495229806 2529230400 2598070080 2749624168 2922828840 3093327189 3117684096 3247587600 3437030210 3653536050 3742844709 3897105120 4124436252 4330116800 4676526144 4871381400 4990459612 5058460800 5155545315 5196140160 5499248336 5845657680 6186654378 6238074515 6495175200 6874060420 7307072100 7485689418 7794210240 8248872504 8592575525 8660233600 9279981567 9353052288 9742762800 9980919224 10311090630 10998496672 11228534127 11691315360 12373308756 12476149030 12990350400 13748120840 14614144200 14971378836 15466635945 15588420480 16497745008 17185151050 18559963134 18714223545 19485525600 19961838448 20622181260 21996993344 22457068254 23382630720 24746617512 24952298060 25777726575 25980700800 27496241680 29228288400 29942757672 30933271890 31190372575 32995490016 33685602381 34370302100 37119926268 37428447090 38971051200 39923676896 41244362520 43993986688 44914136508 46399907835 46765261440 49493235024 49904596120 51555453150 54992483360 56142670635 58456576800 59885515344 61866543780 62380745150 65990980032 67371204762 68740604200 74239852536 74856894180 77333179725 77942102400 79847353792 82488725040 89828273016 92799815670 93571117725 98986470048 99809192240 103110906300 109984966720 112285341270 116913153600 119771030688 123733087560 124761490300 131981960064 134742409524 137481208400 148479705072 149713788360 154666359450 158447092681 159694707584 164977450080 168428011905 179656546032 185599631340 187142235450 197972940096 199618384480 206221812600 219969933440 224570682540 231999539175 233826307200 239542061376 247466175120 249522980600 269484819048 274962416800 280713353175 296959410144 299427576720 309332718900 316894185362 329954900160 336856023810 359313092064 371199262680 374284470900 395945880192 399236768960 412443625200 449141365080 463999078350 475341278043 479084122752 494932350240 499045961200 538969638096 549924833600 561426706350 593918820288 598855153440 618665437800 633788370724 659909800320 673712047620 718626184128 742398525360 748568941800 792235463405 798473537920 824887250400 842140059525 898282730160 927998156700 950682556086 989864700480 998091922400 1077939276192 1099849667200 1122853412700 1187837640576 1197710306880 1237330875600 1267576741448 1347424095240 1426023834129 1437252368256 1484797050720 1497137883600 1584470926810 1649774500800 1684280119050 1796565460320 1855996313400 1901365112172 1979729400960 1996183844800 2155878552384 2245706825400 2376706390215 2395420613760 2474661751200 2535153482896 2694848190480 2852047668258 2969594101440 2994275767200 3168941853620 3299549001600 3368560238100 3593130920640 3711992626800 3802730224344 3961177317025 3992367689600 4278071502387 4311757104768 4491413650800 4753412780430 4949323502400 5070306965792 5389696380960 5704095336516 5939188202880 5988551534400 6337883707240 6737120476200 7130119170645 7186261841280 7423985253600 7605460448688 7922354634050 8556143004774 8982827301600 9506825560860 9898647004800 10140613931584 10779392761920 11408190673032 11883531951075 11977103068800 12675767414480 13474240952400 14260238341290 14847970507200 15210920897376 15844709268100 17112286009548 17965654603200 19013651121720 20281227863168 21390357511935 21558785523840 22816381346064 23767063902150 25351534828960 26948481904800 28520476682580 29695941014400 30421841794752 31689418536200 34224572019096 35650595853225 35931309206400 38027302243440 42780715023870 45632762692128 47534127804300 50703069657920 53896963809600 57040953365160 60843683589504 63378837072400 68449144038192 71301191706450 76054604486880 85561430047740 91265525384256 95068255608600 101406139315840 106951787559675 107793927619200 114081906730320 126757674144800 136898288076384 142602383412900 152109208973760 171122860095480 182531050768512 190136511217200 213903575119350 228163813460640 253515348289600 273796576152768 285204766825800 304218417947520 342245720190960 380273022434400 427807150238700 456327626921280 507030696579200 547593152305536 570409533651600 684491440381920 760546044868800 855614300477400 912655253842560 1140819067303200 1368982880763840 1521092089737600 1711228600954800 2281638134606400 2737965761527680 3422457201909600 4563276269212800 6844914403819200 13689828807638400
- Sum of all divisors σ(n): 50605019871436800
- Sum of proper divisors (its aliquot sum) s(n): 36915191063798400
- 13689828807638400 is an abundant number, because the sum of its proper divisors (36915191063798400) is greater than itself. Its abundance is 23225362256160000
Bases of 13689828807638400
- Binary: 1100001010001011010011101001110001110101111101100000002
- Hexadecimal: 0x30A2D3A71D7D80
- Base-36: 3QSN0J75UO0
Squares and roots of 13689828807638400
- 13689828807638400 squared (136898288076384002) is 187411412782446216670185154560000
- 13689828807638400 cubed (136898288076384003) is 2565630157589343686819978011641481612591104000000
-
The
square root of 13689828807638400 is 117003541.8593744963 -
The
cube root of 13689828807638400 is 239221.0207062323
Scales and comparisons
How big is 13689828807638400?- 13,689,828,807,638,400 seconds is equal to 435,294,210 years, 34 weeks, 3 days.
-
To count from 1 to 13,689,828,807,638,400 would take you about one billion, three hundred five million, eight hundred eighty-two thousand, six hundred thirty-one 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 13689828807638400 cubic inches would be around 19935.1 feet tall.
Recreational maths with 13689828807638400
- 13689828807638400 backwards is 00483670882898631
- The number of decimal digits it has is: 17
- The sum of 13689828807638400's digits is 81
- More coming soon!
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The information we have on file for 13689828807638400 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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