13826128678009128
13,826,128,678,009,128 is an even composite number composed of five prime numbers multiplied together.
What does the number 13826128678009128 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1536 divisors.
13826128678009128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13826128678009128:
23 × 37 × 133 × 193 × 2292
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 19 × 19 × 19 × 229 × 229)See below for interesting mathematical facts about the number 13826128678009128 from the Numbermatics database.
Names of 13826128678009128
- Cardinal: 13826128678009128 can be written as Thirteen quadrillion, eight hundred twenty-six trillion, one hundred twenty-eight billion, six hundred seventy-eight million, nine thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3826128678009128 × 1016
Factors of 13826128678009128
Divisors of 13826128678009128
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 81 104 108 114 117 152 156 162 169 171 216 228 229 234 243 247 312 324 338 342 351 361 456 458 468 486 494 507 513 648 676 684 687 702 722 729 741 916 936 972 988 1014 1026 1053 1083 1352 1368 1374 1404 1444 1458 1482 1521 1539 1832 1944 1976 2028 2052 2061 2106 2166 2187 2197 2223 2748 2808 2888 2916 2964 2977 3042 3078 3159 3211 3249 4056 4104 4122 4212 4332 4351 4374 4394 4446 4563 4617 4693 5496 5832 5928 5954 6084 6156 6183 6318 6422 6498 6591 6669 6859 8244 8424 8664 8702 8748 8788 8892 8931 9126 9234 9386 9477 9633 9747 11908 12168 12312 12366 12636 12844 12996 13053 13182 13338 13689 13718 13851 14079 16488 17404 17496 17576 17784 17862 18252 18468 18549 18772 18954 19266 19494 19773 20007 20577 23816 24732 25272 25688 25992 26106 26364 26676 26793 27378 27436 27702 28158 28431 28899 29241 34808 35724 36504 36936 37098 37544 37908 38532 38701 38988 39159 39546 40014 41067 41154 41553 41743 42237 49464 52212 52441 52728 53352 53586 54756 54872 55404 55647 56316 56563 56862 57798 58482 59319 60021 61009 61731 71448 74196 75816 77064 77402 77976 78318 79092 80028 80379 82134 82308 82669 83106 83486 84474 86697 87723 89167 104424 104882 107172 109512 110808 111294 112632 113126 113724 115596 116103 116964 117477 118638 120042 122018 123201 123462 125229 126711 148392 154804 156636 157323 158184 160056 160758 164268 164616 165338 166212 166941 166972 168948 169689 173394 175446 177957 178334 180063 183027 185193 209764 214344 222588 226252 227448 231192 232206 233928 234954 237276 240084 241137 244036 246402 246924 248007 250458 253422 260091 263169 267501 309608 313272 314646 321516 328536 330676 332424 333882 333944 337896 339378 346788 348309 350892 352431 355914 356668 360126 366054 369603 370386 375687 380133 419528 445176 452504 464412 469908 471969 474552 480168 482274 488072 492804 493848 496014 500823 500916 503113 506844 509067 520182 526338 533871 535002 540189 549081 555579 629292 643032 661352 667764 678756 681733 693576 696618 701784 704862 711828 713336 720252 723411 732108 735319 739206 740772 744021 751374 760266 780273 789507 793117 802503 928824 939816 943938 964548 985608 992028 996379 1001646 1001832 1006226 1013688 1018134 1040364 1044927 1052676 1057293 1067742 1070004 1074697 1080378 1098162 1111158 1127061 1140399 1159171 1258584 1335528 1357512 1363466 1393236 1409724 1415907 1423656 1440504 1446822 1464216 1470638 1478412 1481544 1488042 1502748 1509339 1520532 1527201 1560546 1570711 1579014 1586234 1601613 1605006 1647243 1666737 1887876 1929096 1984056 1992758 2003292 2012452 2036268 2045199 2080728 2089854 2105352 2114586 2135484 2140008 2149394 2160756 2170233 2196324 2205957 2222316 2232063 2254122 2280798 2318342 2340819 2379351 2407509 2726932 2786472 2819448 2831814 2893644 2941276 2956824 2976084 2989137 3005496 3018678 3041064 3054402 3121092 3134781 3141422 3158028 3171879 3172468 3203226 3210012 3224091 3294486 3333474 3381183 3421197 3477513 3775752 3985516 4006584 4024904 4072536 4090398 4179708 4229172 4247721 4270968 4298788 4321512 4340466 4392648 4411914 4444632 4464126 4508244 4528017 4561596 4581603 4636684 4681638 4712133 4758702 4804839 4815018 4941729 5000211 5453864 5663628 5787288 5882552 5952168 5978274 6037356 6108804 6135597 6242184 6269562 6282844 6316056 6343758 6344936 6406452 6420024 6448182 6510699 6588972 6617871 6666948 6696189 6762366 6842394 6955026 7022457 7138053 7222527 7971032 8180796 8359416 8458344 8495442 8597576 8680932 8823828 8862529 8928252 8967411 9016488 9056034 9123192 9163206 9273368 9363276 9404343 9424266 9515637 9517404 9559147 9609678 9630036 9672273 9883458 10000422 10143549 10263591 10432539 11327256 11956548 12074712 12217608 12271194 12539124 12565688 12687516 12743163 12812904 12896364 12952927 13021398 13177944 13235742 13333896 13392378 13524732 13584051 13684788 13744809 13910052 13971061 14044914 14136399 14276106 14445054 14825187 15000633 15069223 16361592 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6760285272 6789935646 6870289914 6901704134 6938187516 6968618163 7167154293 7323642378 8295327144 8393496696 8614378188 8632627656 8716323492 8756178652 8802465048 8859802068 9053247528 9092954754 9160386552 9200563686 9291490884 9332243037 9352013294 9401449356 9442683783 9556205724 9598118907 9711706113 9764856504 9807684822 9923752098 10140427908 10184903469 10352556201 10985463567 11927600568 12123939672 12267418248 12442990716 12590245044 12797491876 12865141224 12921567282 12948941484 13076913096 13134267978 13231669464 13289703102 13579871292 13639432131 13740579828 13800845529 13803408268 13876375032 13937236326 14028019941 14334308586 14647284756 14711527233 14885628147 17228756376 17432646984 17512357304 17719604136 18185909508 18401127372 18582981768 18664486074 18704026588 18802898712 18885367566 19112411448 19196237814 19382350923 19423412226 19615369644 19701401967 19847504196 19934554653 20280855816 20369806938 20705112402 20905854489 21501462879 21970927134 24885981432 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368264667537 372692023236 374326637373 378756538407 387026331822 397211235291 472833647208 478429311672 486304691288 491019556716 499102183164 503941123998 505008717876 516035109096 518298420978 524432130102 529614980388 531937853109 538232975631 547092777699 559038034854 580539497733 671921498664 691064561304 699242840136 709250470812 717643967508 729457036932 736529335074 745384046472 748653274746 757513076814 774052663644 777447631467 786648195153 790245123343 794422470582 838557052281 982039113432 998204366328 1007882247996 1010017435752 1036596841956 1048864260204 1059229960776 1063875706218 1076465951262 1094185555398 1118076069708 1122979912119 1136269615221 1161078995466 1418500941624 1435287935016 1458914073864 1473058670148 1497306549492 1515026153628 1548105327288 1554895262934 1573296390306 1580490246686 1588844941164 1595813559327 1641278333097 1677114104562 2015764495992 2073193683912 2097728520408 2127751412436 2152931902524 2188371110796 2236152139416 2245959824238 2272539230442 2322157990932 2332342894401 2370735370029 2515671156843 2946117340296 2994613098984 3030052307256 3109790525868 3146592780612 3160980493372 3177689882328 3191627118654 3282556666194 3354228209124 3368939736357 3408808845663 4255502824872 4305863805048 4376742221592 4491919648476 4545078460884 4644315981864 4664685788802 4741470740058 4787440677981 4923834999291 5031342313686 6219581051736 6293185561224 6321960986744 6383254237308 6565113332388 6708456418248 6737879472714 6817617691326 6997028683203 7112206110087 7547013470529 8983839296952 9090156921768 9329371577604 9482941480116 9574881355962 9847669998582 10062684627372 10106819209071 10226426536989 12766508474616 13130226664776 13475758945428 13635235382652 13994057366406 14224412220174 14771504997873 15094026941058 18658743155208 18965882960232 19149762711924 19695339997164 20125369254744 20213638418142 20452853073978 21336618330261 26951517890856 27270470765304 27988114732812 28448824440348 29543009995746 30188053882116 30320457627213 38299525423848 39390679994328 40427276836284 40905706147956 42673236660522 44314514993619 55976229465624 56897648880696 59086019991492 60376107764232 60640915254426 64009854990783 80854553672568 81811412295912 85346473321044 88629029987238 90961372881639 118172039982984 121281830508852 128019709981566 132943544980857 170692946642088 177258059974476 181922745763278 192029564972349 242563661017704 256039419963132 265887089961714 354516119948952 363845491526556 384059129944698 512078839926264 531774179923428 576088694917047 727690983053112 768118259889396 1063548359846856 1152177389834094 1536236519778792 1728266084751141 2304354779668188 3456532169502282 4608709559336376 6913064339004564 13826128678009128
- Sum of all divisors σ(n): 44653159131840000
- Sum of proper divisors (its aliquot sum) s(n): 30827030453830872
- 13826128678009128 is an abundant number, because the sum of its proper divisors (30827030453830872) is greater than itself. Its abundance is 17000901775821744
Bases of 13826128678009128
- Binary: 1100010001111011001010011100000111100010111001001010002
- Hexadecimal: 0x311ECA7078B928
- Base-36: 3S4YBTUTMI0
Squares and roots of 13826128678009128
- 13826128678009128 squared (138261286780091282) is 191161834220866437489145651320384
- 13826128678009128 cubed (138261286780091283) is 2643028118261948162599139072281150709877604465152
-
The
square root of 13826128678009128 is 117584559.6922024793 -
The
cube root of 13826128678009128 is 240012.3181062355
Scales and comparisons
How big is 13826128678009128?- 13,826,128,678,009,128 seconds is equal to 439,628,124 years, 48 weeks, 4 days, 22 hours, 58 minutes, 48 seconds.
-
To count from 1 to 13,826,128,678,009,128 would take you about one billion, three hundred eighteen million, eight hundred eighty-four thousand, three hundred seventy-four 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 13826128678009128 cubic inches would be around 20001 feet tall.
Recreational maths with 13826128678009128
- 13826128678009128 backwards is 82190087682162831
- 13826128678009128 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13826128678009128's digits is 72
- More coming soon!
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"Number 13826128678009128 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 13826128678009128 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/13826128678009128/
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The information we have on file for 13826128678009128 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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