13828081414400
13,828,081,414,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13828081414400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
13828081414400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13828081414400:
28 × 52 × 11 × 29 × 31 × 41 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 29 × 31 × 41 × 73 × 73)See below for interesting mathematical facts about the number 13828081414400 from the Numbermatics database.
Names of 13828081414400
- Cardinal: 13828081414400 can be written as Thirteen trillion, eight hundred twenty-eight billion, eighty-one million, four hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.38280814144 × 1013
Factors of 13828081414400
Divisors of 13828081414400
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 29 31 32 40 41 44 50 55 58 62 64 73 80 82 88 100 110 116 124 128 145 146 155 160 164 176 200 205 220 232 248 256 275 290 292 310 319 320 328 341 352 365 400 410 440 451 464 496 550 580 584 620 638 640 656 682 704 725 730 775 800 803 820 880 899 902 928 992 1025 1100 1160 1168 1189 1240 1271 1276 1280 1312 1364 1408 1450 1460 1550 1595 1600 1606 1640 1705 1760 1798 1804 1825 1856 1984 2050 2117 2200 2255 2263 2320 2336 2378 2480 2542 2552 2624 2728 2816 2900 2920 2993 3100 3190 3200 3212 3280 3410 3520 3596 3608 3650 3712 3968 4015 4100 4234 4400 4495 4510 4526 4640 4672 4756 4960 5084 5104 5248 5329 5456 5800 5840 5945 5986 6200 6355 6380 6400 6424 6560 6820 7040 7192 7216 7300 7424 7936 7975 8030 8200 8468 8525 8800 8990 9020 9052 9280 9344 9512 9889 9920 10168 10208 10496 10585 10658 10912 11275 11315 11600 11680 11890 11972 12400 12710 12760 12848 13079 13120 13640 13981 14080 14384 14432 14600 14965 15950 16060 16400 16936 17050 17600 17980 18040 18104 18560 18688 19024 19778 19840 20075 20336 20416 21170 21316 21824 22475 22550 22630 23200 23287 23360 23780 23944 24800 24893 25420 25520 25696 26158 26240 26645 27280 27962 28768 28864 29200 29725 29930 31775 31900 32120 32800 32923 33872 34100 35200 35960 36080 36208 36859 37120 38048 39556 39680 40150 40672 40832 42340 42632 43648 44950 45100 45260 46400 46574 46720 47560 47888 49445 49600 49786 50840 51040 51392 52316 52480 52925 53290 54560 55924 56575 57536 57728 58400 58619 59450 59860 63550 63800 64240 65395 65600 65627 65846 67744 68200 69905 70400 71920 72160 72416 73718 74825 76096 79112 80300 81344 81664 84680 85264 86797 87296 89900 90200 90520 92783 92800 93148 93440 95120 95776 98890 99200 99572 101680 102080 102784 104632 105850 106580 109120 111848 113150 115072 115456 116435 116800 117238 118900 119720 124465 127100 127600 128480 130790 131200 131254 131692 133225 135488 136400 139810 143840 144320 144832 147436 149650 152192 154541 158224 160600 162688 164615 165199 169360 170528 173594 179800 180400 181040 184295 185566 185600 186296 190240 191552 197780 198400 199144 203360 204160 205568 209264 211700 213160 218240 218489 223696 226300 230144 232870 233600 234476 237800 239440 247225 248930 254200 255200 256960 261580 262400 262508 263384 266450 270976 272800 279620 287680 288640 289664 293095 294872 299300 304384 309082 316448 321200 325376 326975 328135 329230 330398 338720 341056 347188 349525 359600 360800 362080 368590 371132 372592 380480 383104 395560 398288 405449 406720 408320 418528 423400 426320 433985 436480 436978 447392 452600 463915 465740 467200 468952 475600 478880 494450 497860 508400 510400 513920 523160 525016 526768 532900 541952 545600 559240 575360 577280 579328 582175 586190 589744 598600 618164 622325 632896 642400 653950 656270 658460 660796 677440 682112 694376 699050 719200 721600 721897 724160 737180 742264 745184 760960 766208 772705 791120 796576 810898 813440 823075 825995 837056 846800 852640 867970 873956 894784 905200 921475 927830 931480 937904 951200 954767 957760 988900 995720 1016800 1020613 1020800 1027840 1046320 1050032 1053536 1065800 1091200 1092445 1118480 1150720 1164350 1172380 1179488 1197200 1236328 1244650 1265792 1284800 1307900 1312540 1316920 1321592 1354880 1364224 1388752 1398100 1438400 1443200 1443794 1448320 1465475 1474360 1484528 1490368 1521920 1545410 1582240 1593152 1621796 1626880 1640675 1646150 1651990 1674112 1693600 1699951 1705280 1735940 1747912 1789568 1810400 1817189 1842950 1855660 1862960 1875808 1902400 1909534 1915520 1977800 1991440 2027245 2033600 2041226 2041600 2092640 2100064 2107072 2131600 2169925 2182400 2184890 2236960 2319575 2328700 2344760 2358976 2394400 2403379 2472656 2489300 2531584 2569600 2615800 2625080 2633840 2643184 2690707 2709760 2777504 2796200 2876800 2886400 2887588 2896640 2930950 2948720 2969056 2980736 3090820 3164480 3186304 3243592 3281350 3292300 3303980 3348224 3387200 3399902 3410560 3471880 3495824 3579136 3609485 3620800 3634378 3685900 3711320 3725920 3751616 3804800 3819068 3831040 3863525 3955600 3982880 4054490 4067200 4082452 4129975 4185280 4200128 4214144 4263200 4339850 4369780 4473920 4639150 4657400 4689520 4717952 4773835 4788800 4790771 4806758 4945312 4978600 5103065 5139200 5231600 5250160 5267680 5286368 5381414 5462225 5555008 5592400 5753600 5775176 5861900 5897440 5938112 5961472 6181640 6328960 6336181 6372608 6487184 6562700 6584600 6607960 6773159 6774400 6799804 6821120 6943760 6991648 7218970 7241600 7268756 7371800 7422640 7451840 7503232 7609600 7638136 7727050 7911200 7965760 8108980 8134400 8164904 8259950 8370560 8400256 8428288 8499755 8526400 8679700 8739560 8947840 9085945 9278300 9314800 9379040 9435904 9547670 9577600 9581542 9613516 9890624 9957200 10136225 10206130 10463200 10500320 10535360 10572736 10762828 10924450 11110016 11184800 11550352 11723800 11794880 11876224 12016895 12363280 12657920 12672362 12974368 13125400 13169200 13215920 13453535 13546318 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49453120 50689448 51030650 51897472 52501600 52676800 52698481 52863680 53814140 54185272 54398432 55550080 55933184 57751760 58150048 58974400 59195554 59381120 60084475 61105088 61816400 63289600 63361810 64871840 65319232 66079600 67267675 67731590 67998040 69437600 69697991 69916480 72189700 72687560 74226400 74504749 74518400 75032320 76381360 76652336 76908128 79657600 81089800 81649040 83705600 84002560 84997550 86102624 87395600 89478400 90859450 92402816 93790400 95476700 95815420 96135160 98906240 101378896 102061300 103794944 105003200 105353600 105396962 105727360 107628280 108370544 108796864 111100160 115503520 116300096 117948800 118391108 118762240 119769275 120168950 122210176 123632800 126723620 129743680 130638464 132159200 134535350 135463180 135996080 138875200 139395982 139832960 144379400 145375120 147988885 148452800 149009498 149036800 152762720 153304672 153816256 158404525 159315200 162179600 163298080 169328975 169995100 172205248 174791200 181718900 184805632 187580800 190953400 191630840 192270320 196421611 197812480 202757792 204122600 210006400 210707200 210793924 211454720 215256560 216741088 217593728 231007040 232600192 235897600 236782216 239538550 240337900 244420352 247265600 253447240 259487360 261276928 263492405 264318400 269070700 270926360 271992160 277750400 278791964 279665920 288758800 290750240 295977770 296905600 298018996 305525440 306609344 307632512 316809050 324359200 326596160 338657950 339990200 344410496 348489955 349582400 363437800 372523745 375161600 381906800 383261680 384540640 392843222 405515584 408245200 420012800 421587848 430513120 433482176 435187456 462014080 465200384 473564432 479077100 480675800 494531200 506894480 518974720 526984810 528636800 538141400 541852720 543984320 555500800 557583928 577517600 581500480 591955540 593811200 596037992 611050880 613218688 615265024 633618100 648718400 653192320 677315900 679980400 688820992 696979910 699164800 726875600 739944425 745047490 763813600 766523360 769081280 785686444 811031168 816490400 843175696 861026240 866964352 924028160 947128864 958154200 961351600 982108055 989062400 1013788960 1053969620 1057273600 1076282800 1083705440 1087968640 1115167856 1155035200 1163000960 1183911080 1192075984 1222101760 1226437376 1267236200 1297436800 1306384640 1317462025 1354631800 1359960800 1393959820 1398329600 1453751200 1479888850 1490094980 1527627200 1533046720 1538162560 1571372888 1622062336 1632980800 1686351392 1722052480 1733928704 1742449775 1862618725 1894257728 1916308400 1922703200 1964216110 2027577920 2107939240 2152565600 2160637721 2167410880 2175937280 2230335712 2310070400 2326001920 2367822160 2384151968 2534472400 2594873600 2634924050 2709263600 2719921600 2787919640 2907502400 2959777700 2980189960 3055254400 3066093440 3076325120 3142745776 3265961600 3372702784 3444104960 3484899550 3725237450 3788515456 3832616800 3845406400 3928432220 4055155840 4215878480 4305131200 4321275442 4334821760 4460671424 4620140800 4735644320 4768303936 4910540275 5068944800 5269848100 5418527200 5439843200 5575839280 5815004800 5919555400 5960379920 6110508800 6132186880 6285491552 6531923200 6745405568 6969799100 7450474900 7577030912 7665233600 7690812800 7856864440 8110311680 8431756960 8610262400 8642550884 8669643520 8921342848 9471288640 9536607872 9821080550 10137889600 10539696200 10803188605 10837054400 10879686400 11151678560 11630009600 11839110800 11920759840 12570983104 13490811136 13939598200 14900949800 15330467200 15381625600 15713728880 16863513920 17220524800 17285101768 17842685696 18942577280 19073215744 19642161100 20275779200 21079392400 21606377210 21674108800 22303357120 23678221600 23841519680 25141966208 27879196400 29801899600 30660934400 31427457760 33727027840 34570203536 37885154560 39284322200 40551558400 42158784800 43212754420 43348217600 44606714240 47356443200 47683039360 50283932416 54015943025 55758392800 59603799200 62854915520 67454055680 69140407072 78568644400 84317569600 86425508840 89213428480 94712886400 95366078720 108031886050 111516785600 119207598400 125709831040 138280814144 157137288800 168635139200 172851017680 189425772800 216063772100 223033571200 238415196800 251419662080 276561628288 314274577600 337270278400 345702035360 432127544200 446067142400 476830393600 553123256576 628549155200 691404070720 864255088400 1257098310400 1382808141440 1728510176800 2765616282880 3457020353600 6914040707200 13828081414400
- Sum of all divisors σ(n): 41411344504320
- Sum of proper divisors (its aliquot sum) s(n): 27583263089920
- 13828081414400 is an abundant number, because the sum of its proper divisors (27583263089920) is greater than itself. Its abundance is 13755181675520
Bases of 13828081414400
- Binary: 110010010011100110011110000101110001000000002
- Hexadecimal: 0xC9399E17100
- Base-36: 4WGJ6N668
Squares and roots of 13828081414400
- 13828081414400 squared (138280814144002) is 191215835603274704527360000
- 13828081414400 cubed (138280814144003) is 2644148142444608753452438352297984000000
-
The
square root of 13828081414400 is 3718612.8347005957 -
The
cube root of 13828081414400 is 24002.3616972213
Scales and comparisons
How big is 13828081414400?- 13,828,081,414,400 seconds is equal to 439,690 years, 11 weeks, 1 day, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,828,081,414,400 would take you about one million, ninety-nine thousand, two hundred twenty-five 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 13828081414400 cubic inches would be around 2000.2 feet tall.
Recreational maths with 13828081414400
- 13828081414400 backwards is 00441418082831
- 13828081414400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13828081414400's digits is 44
- More coming soon!
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The information we have on file for 13828081414400 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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