1388139682516992
1,388,139,682,516,992 is an even composite number composed of seven prime numbers multiplied together.
1388139682516992 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 1388139682516992:
212 × 32 × 17 × 19 × 31 × 257 × 14633
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 19 × 31 × 257 × 14633)See below for interesting mathematical facts about the number 1388139682516992 from the Numbermatics database.
Names of 1388139682516992
- Cardinal: 1388139682516992 can be written as One quadrillion, three hundred eighty-eight trillion, one hundred thirty-nine billion, six hundred eighty-two million, five hundred sixteen thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.388139682516992 × 1015
Factors of 1388139682516992
Divisors of 1388139682516992
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 19 24 31 32 34 36 38 48 51 57 62 64 68 72 76 93 96 102 114 124 128 136 144 152 153 171 186 192 204 228 248 256 257 272 279 288 304 306 323 342 372 384 408 456 496 512 514 527 544 558 576 589 608 612 646 684 744 768 771 816 912 969 992 1024 1028 1054 1088 1116 1152 1178 1216 1224 1292 1368 1488 1536 1542 1581 1632 1767 1824 1938 1984 2048 2056 2108 2176 2232 2304 2313 2356 2432 2448 2584 2736 2907 2976 3072 3084 3162 3264 3534 3648 3876 3968 4096 4112 4216 4352 4369 4464 4608 4626 4712 4743 4864 4883 4896 5168 5301 5472 5814 5952 6144 6168 6324 6528 7068 7296 7752 7936 7967 8224 8432 8704 8738 8928 9216 9252 9424 9486 9728 9766 9792 10013 10336 10602 10944 11628 11904 12288 12336 12648 13056 13107 14136 14592 14633 14649 15504 15872 15934 16448 16864 17408 17476 17856 18432 18504 18848 18972 19456 19532 19584 20026 20672 21204 21888 23256 23808 23901 24672 25296 26112 26214 28272 29184 29266 29298 30039 31008 31744 31868 32896 33728 34816 34952 35712 36864 37008 37696 37944 38912 39064 39168 39321 40052 41344 42408 43776 43899 43947 46512 47616 47802 49344 50592 52224 52428 56544 58368 58532 58596 60078 62016 63488 63736 65792 67456 69632 69904 71424 71703 74016 75392 75888 77824 78128 78336 78642 80104 82688 83011 84816 87552 87798 87894 90117 93024 95232 95604 98688 101184 104448 104856 113088 116736 117064 117192 120156 124032 126976 127472 131584 131697 134912 135439 139808 142848 143406 148032 150784 151373 151776 156256 156672 157284 160208 165376 166022 169632 175104 175596 175788 180234 186048 190464 191208 197376 202368 208896 209712 226176 233472 234128 234384 240312 248064 248761 249033 254944 263168 263394 269824 270878 278027 279616 285696 286812 296064 301568 302746 303552 312512 313344 314568 320416 330752 332044 339264 350208 351192 351576 360468 372096 380928 382416 394752 404736 406317 419424 452352 453623 454119 468256 468768 480624 496128 497522 498066 509888 526336 526788 539648 541756 556054 559232 571392 573624 592128 603136 605492 607104 625024 626688 629136 640832 661504 664088 678528 700416 702384 703152 720936 744192 746283 747099 764832 789504 809472 812634 834081 838848 904704 907246 908238 936512 937536 961248 992256 995044 996132 1019776 1052672 1053576 1079296 1083512 1112108 1118464 1142784 1147248 1184256 1206272 1210984 1214208 1218951 1250048 1258272 1281664 1323008 1328176 1357056 1360869 1362357 1404768 1406304 1441872 1488384 1492566 1494198 1529664 1579008 1618944 1625268 1668162 1677696 1809408 1814492 1816476 1873024 1875072 1922496 1984512 1990088 1992264 2039552 2107152 2158592 2167024 2224216 2236928 2238849 2294496 2368512 2412544 2421968 2428416 2437902 2500096 2502243 2516544 2563328 2573341 2656352 2714112 2721738 2724714 2809536 2812608 2883744 2976768 2985132 2988396 3059328 3158016 3237888 3250536 3336324 3355392 3618816 3628984 3632952 3746048 3750144 3760681 3844992 3969024 3980176 3984528 4079104 4082607 4214304 4334048 4448432 4473856 4477698 4588992 4726459 4737024 4843936 4856832 4875804 5000192 5004486 5033088 5126656 5146682 5312704 5428224 5443476 5449428 5619072 5625216 5767488 5953536 5970264 5976792 6118656 6475776 6501072 6672648 6710784 7237632 7257968 7265904 7492096 7500288 7521362 7689984 7711591 7720023 7960352 7969056 8158208 8165214 8428608 8618837 8668096 8896864 8947712 8955396 9177984 9452918 9474048 9687872 9713664 9751608 10000384 10008972 10066176 10253312 10293364 10625408 10856448 10886952 10898856 11238144 11250432 11282043 11534976 11907072 11940528 11953584 12237312 13002144 13345296 13421568 14179377 14515936 14531808 14984192 15000576 15042724 15379968 15423182 15440046 15920704 15938112 16316416 16330428 16857216 17237674 17336192 17793728 17895424 17910792 18355968 18905836 19375744 19427328 19503216 20000768 20017944 20132352 20506624 20586728 21250816 21712896 21773904 21797712 22476288 22500864 22564086 23069952 23134773 23160069 23881056 23907168 24474624 25856511 26004288 26690592 26843136 28358754 29031872 29063616 29968384 30001152 30085448 30759936 30846364 30880092 31841408 31876224 32632832 32660856 33714432 33846129 34475348 34672384 35587456 35821584 36711936 37811672 38751488 39006432 40035888 40264704 41013248 41173456 42501632 42538131 43547808 43595424 44952576 45001728 45128172 46139904 46269546 46320138 47762112 47814336 48949248 51713022 52008576 53381184 53686272 56717508 58063744 58127232 59936768 60002304 60170896 61519872 61692728 61760184 63682816 63752448 63931577 65321712 67428864 67692258 68950696 69344768 69404319 71174912 71452939 71643168 73423872 75623344 77502976 77569533 78012864 80071776 80529408 82346912 85003264 85076262 87095616 87190848 89905152 90003456 90256344 92279808 92539092 92640276 95524224 95628672 97898496 103426044 104017152 106762368 113435016 116127488 116254464 116581111 120341792 123039744 123385456 123520368 127365632 127504896 127863154 130643424 134857728 135384516 137901392 138689536 138808638 142349824 142905878 143286336 146520229 146847744 151246688 155005952 155139066 156025728 160143552 161058816 164693824 170006528 170152524 174191232 174381696 179810304 180006912 180512688 184559616 185078184 185280552 191048448 191257344 191794731 206852088 208034304 213524736 214358817 226870032 232254976 232508928 233162222 240683584 246770912 247040736 254731264 255009792 255726308 261286848 269715456 270769032 275802784 277379072 277617276 284699648 285811756 286572672 293040458 293695488 302493376 310011904 310278132 312051456 320287104 329387648 340013056 340305048 348382464 348763392 349743333 361025376 369119232 370156368 370561104 382096896 382514688 383589462 413704176 416068608 427049472 428717634 439560687 453740064 464509952 465017856 466324444 481367168 493541824 494081472 509462528 510019584 511452616 522573696 539430912 541538064 551605568 554758144 555234552 569399296 571623512 573145344 575384193 586080916 604986752 620023808 620556264 624102912 640574208 643076451 658775296 680610096 696764928 697526784 699486666 722050752 740312736 741122208 764193792 765029376 767178924 827408352 832137216 854098944 857435268 879121374 907480128 929019904 930035712 932648888 962734336 987083648 988162944 1018925056 1020039168 1022905232 1045147392 1049229999 1083076128 1103211136 1110469104 1138798592 1143247024 1146290688 1150768386 1172161832 1209973504 1214699963 1241112528 1248205824 1281148416 1286152902 1317550592 1318682061 1361220192 1393529856 1395053568 1398973332 1444101504 1480625472 1482244416 1528387584 1530058752 1534357848 1654816704 1664274432 1708197888 1714870536 1758242748 1814960256 1858039808 1860071424 1865297776 1925468672 1974167296 1976325888 1981878887 2045810464 2090294784 2098459998 2166152256 2206422272 2215041109 2220938208 2286494048 2292581376 2301536772 2344323664 2419947008 2429399926 2482225056 2496411648 2562296832 2572305804 2635101184 2637364122 2722440384 2787059712 2790107136 2797946664 2888203008 2961250944 2964488832 3056775168 3060117504 3068715696 3309633408 3416395776 3429741072 3516485496 3629920512 3644099889 3730595552 3850937344 3948334592 3952651776 3963757774 4091620928 4180589568 4196919996 4332304512 4412844544 4430082218 4441876416 4572988096 4585162752 4603073544 4688647328 4839894016 4858799852 4964450112 4992823296 5124593664 5144611608 5270202368 5274728244 5444880768 5574119424 5580214272 5595893328 5776406016 5922501888 5928977664 5945636661 6137431392 6619266816 6645123327 6859482144 7032970992 7259841024 7288199778 7461191104 7701874688 7896669184 7905303552 7927515548 8183241856 8361179136 8393839992 8664609024 8825689088 8860164436 8883752832 9145976192 9170325504 9206147088 9377294656 9679788032 9717599704 9928900224 10249187328 10289223216 10540404736 10549456488 10889761536 10932299667 11191786656 11552812032 11845003776 11857955328 11891273322 12274862784 13238533632 13290246654 13718964288 14065941984 14519682048 14576399556 14922382208 15403749376 15793338368 15810607104 15855031096 16366483712 16722358272 16787679984 17329218048 17651378176 17720328872 17767505664 17836909983 18291952384 18412294176 18754589312 19359576064 19435199408 19857800448 19935369981 20578446432 21098912976 21779523072 21864599334 22383573312 23105624064 23690007552 23715910656 23782546644 24549725568 26477067264 26580493308 27437928576 28131883968 29039364096 29152799112 29844764416 31586676736 31621214208 31710062192 32732967424 33575359968 34658436096 35302756352 35440657744 35535011328 35673819966 36583904768 36824588352 37509178624 37655698853 38870398816 39715600896 39870739962 41156892864 42197825952 43559046144 43729198668 44767146624 46211248128 47380015104 47431821312 47565093288 49099451136 52954134528 53160986616 54875857152 56263767936 58078728192 58305598224 59689528832 63420124384 65465934848 67150719936 69316872192 70881315488 71070022656 71347639932 73167809536 73649176704 75018357248 75311397706 77740797632 79431201792 79741479924 82313785728 84395651904 87118092288 87458397336 89534293248 94760030208 94863642624 95130186576 98198902272 105908269056 106321973232 109751714304 112527535872 112967096559 116611196448 119379057664 126840248768 130931869696 134301439872 138633744384 141762630976 142140045312 142695279864 146335619072 147298353408 150036714496 150622795412 155481595264 158862403584 159482959848 164627571456 168791303808 174236184576 174916794672 179068586496 190260373152 196397804544 212643946464 219503428608 225055071744 225934193118 233222392896 238758115328 253680497536 261863739392 268602879744 283525261952 284280090624 285390559728 292671238144 294596706816 300073428992 301245590824 310963190528 317724807168 318965919696 329255142912 337582607616 338901289677 349833589344 358137172992 380520746304 392795609088 425287892928 439006857216 450110143488 451868386236 466444785792 477516230656 507360995072 537205759488 567050523904 570781119456 589193413632 600146857984 602491181648 621926381056 637931839392 658510285824 675165215232 677802579354 699667178688 716274345984 761041492608 785591218176 850575785856 878013714432 900220286976 903736772472 932889571584 1014721990144 1074411518976 1134101047808 1141562238912 1178386827264 1204982363296 1243852762112 1275863678784 1317020571648 1350330430464 1355605158708 1399334357376 1432548691968 1522082985216 1701151571712 1800440573952 1807473544944 1865779143168 2029443980288 2148823037952 2268202095616 2283124477824 2356773654528 2409964726592 2487705524224 2551727357568 2634041143296 2700660860928 2711210317416 2798668714752 3044165970432 3402303143424 3614947089888 3731558286336 4058887960576 4297646075904 4536404191232 4566248955648 4819929453184 4975411048448 5103454715136 5401321721856 5422420634832 5597337429504 6088331940864 6804606286848 7229894179776 7463116572672 8117775921152 9072808382464 9132497911296 9639858906368 10206909430272 10844841269664 11194674859008 12176663881728 13609212573696 14459788359552 14926233145344 18264995822592 19279717812736 20413818860544 21689682539328 22389349718016 24353327763456 27218425147392 28919576719104 36529991645184 38559435625472 40827637721088 43379365078656 44778699436032 57839153438208 73059983290368 77118871250944 81655275442176 86758730157312 115678306876416 154237742501888 173517460314624 231356613752832 347034920629248 462713227505664 694069841258496 1388139682516992
- Sum of all divisors σ(n): 4631434367339520
- Sum of proper divisors (its aliquot sum) s(n): 3243294684822528
- 1388139682516992 is an abundant number, because the sum of its proper divisors (3243294684822528) is greater than itself. Its abundance is 1855155002305536
Bases of 1388139682516992
- Binary: 1001110111010000001011101001010110011010000000000002
- Hexadecimal: 0x4EE8174ACD000
- Base-36: DO1YKE9KW0
Squares and roots of 1388139682516992
- 1388139682516992 squared (13881396825169922) is 1926931778178375345220368728064
- 1388139682516992 cubed (13881396825169923) is 2674850466792432804854837492573674305107263488
-
The
square root of 1388139682516992 is 37257746.6108323841 -
The
cube root of 1388139682516992 is 111552.0930013849
Scales and comparisons
How big is 1388139682516992?- 1,388,139,682,516,992 seconds is equal to 44,138,548 years, 5 weeks, 3 days, 14 hours, 43 minutes, 12 seconds.
-
To count from 1 to 1,388,139,682,516,992 would take you about one hundred thirty-two million, four hundred fifteen thousand, six hundred forty-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 1388139682516992 cubic inches would be around 9296 feet tall.
Recreational maths with 1388139682516992
- 1388139682516992 backwards is 2996152869318831
- The number of decimal digits it has is: 16
- The sum of 1388139682516992's digits is 81
- More coming soon!
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"Number 1388139682516992 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 1388139682516992 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/1388139682516992/
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The information we have on file for 1388139682516992 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 1388139682516992, math, Factors of 1388139682516992, curriculum, school, college, exams, university, Prime factorization of 1388139682516992, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, three hundred eighty-eight trillion, one hundred thirty-nine billion, six hundred eighty-two million, five hundred sixteen thousand, nine hundred ninety-two.