1348993838782368
1,348,993,838,782,368 is an even composite number composed of seven prime numbers multiplied together.
1348993838782368 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 1348993838782368:
25 × 32 × 172 × 23 × 37 × 79 × 4912
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 17 × 23 × 37 × 79 × 491 × 491)See below for interesting mathematical facts about the number 1348993838782368 from the Numbermatics database.
Names of 1348993838782368
- Cardinal: 1348993838782368 can be written as One quadrillion, three hundred forty-eight trillion, nine hundred ninety-three billion, eight hundred thirty-eight million, seven hundred eighty-two thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.348993838782368 × 1015
Factors of 1348993838782368
Divisors of 1348993838782368
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 23 24 32 34 36 37 46 48 51 68 69 72 74 79 92 96 102 111 136 138 144 148 153 158 184 204 207 222 237 272 276 288 289 296 306 316 333 368 391 408 414 444 474 491 544 552 578 592 612 629 632 666 711 736 782 816 828 851 867 888 948 982 1104 1156 1173 1184 1224 1258 1264 1332 1343 1422 1473 1564 1632 1656 1702 1734 1776 1817 1887 1896 1964 2208 2312 2346 2448 2516 2528 2553 2601 2664 2686 2844 2923 2946 3128 3312 3404 3468 3519 3552 3634 3774 3792 3928 4029 4419 4624 4692 4896 5032 5106 5202 5328 5372 5451 5661 5688 5846 5892 6256 6624 6647 6808 6936 7038 7268 7548 7584 7659 7856 8058 8347 8769 8838 9248 9384 10064 10212 10404 10656 10693 10744 10902 11293 11322 11376 11692 11784 12087 12512 13294 13616 13872 14076 14467 14536 15096 15318 15712 16116 16353 16694 17538 17676 18167 18768 19941 20128 20424 20808 21386 21488 21804 22586 22644 22752 22831 23384 23568 24174 25041 26307 26588 27232 27744 28152 28934 29072 30192 30636 30889 32079 32232 32706 33388 33879 35076 35352 36334 37536 38789 39882 40848 41616 42772 42976 43401 43608 45172 45288 45662 46768 47136 48348 49691 50082 52614 53176 54501 56304 57868 58144 59823 60384 61272 61778 64158 64464 65412 66776 67229 67758 68493 70152 70704 72668 75123 77578 79764 81696 83232 85544 86802 87216 90344 90576 91324 92667 93536 96237 96696 99382 100164 101637 105228 106352 109002 112608 115736 116367 119646 122544 123556 128316 128928 130203 130824 133552 134458 135516 136986 140304 141408 141899 145336 149073 150246 155156 159528 163503 171088 173604 174432 180688 181152 182648 185334 191981 192474 193392 198764 200328 201687 203274 205479 210456 212704 218004 231472 232734 239292 241081 245088 245939 247112 256632 260406 261648 267104 268916 271032 273972 278001 280608 283798 290672 298146 300492 308839 310312 319056 327006 342176 347208 349101 361376 365296 370668 383962 384948 386784 397528 400656 403374 406548 410958 417841 420912 425697 436008 447219 462944 465468 478584 482162 491878 494224 513264 520812 523296 525113 537832 542064 547944 556002 567596 575943 581344 596292 600984 605061 617678 620624 638112 654012 659413 694416 698202 723243 730592 737817 741336 767924 769896 795056 801312 806748 813096 821916 835682 841824 844747 851394 872016 892147 894438 926517 930936 957168 964324 983756 988448 1026528 1041624 1050226 1075664 1084128 1095888 1112004 1135192 1142893 1151886 1192584 1201968 1210122 1235356 1241248 1253523 1277091 1308024 1318826 1388832 1396404 1435193 1446486 1475634 1482672 1535848 1539792 1575339 1590112 1613496 1626192 1643832 1671364 1689494 1702788 1727829 1744032 1784294 1788876 1853034 1861872 1914336 1928648 1967512 1978239 2083248 2100452 2151328 2169729 2191776 2213451 2224008 2270384 2285786 2303772 2385168 2403936 2420244 2470712 2507046 2534241 2554182 2616048 2637652 2676441 2779551 2792808 2870386 2892972 2951268 2965344 3071696 3079584 3150678 3226992 3252384 3263677 3287664 3342728 3378988 3405576 3428679 3455658 3568588 3577752 3706068 3723744 3760569 3857296 3935024 3956478 4098377 4166496 4200904 4305579 4339458 4426902 4448016 4540768 4571572 4607544 4726017 4770336 4840488 4941424 5014092 5068482 5108364 5232096 5250263 5275304 5352882 5544863 5559102 5585616 5740772 5785944 5902536 5934717 6143392 6301356 6453984 6527354 6575328 6685456 6757976 6811152 6857358 6911316 7103297 7137176 7155504 7412136 7521138 7602723 7714592 7870048 7912956 8029323 8196754 8401808 8611158 8678916 8853804 8896032 8919997 9143144 9215088 9452034 9680976 9791031 9882848 10028184 10136964 10216728 10286037 10500526 10550608 10705764 11089726 11118204 11171232 11210021 11481544 11571888 11805072 11869434 12295131 12602712 12916737 13054708 13370912 13515952 13622304 13714716 13822632 14206594 14274352 14311008 14824272 15042276 15166499 15205446 15750789 15825912 16058646 16393508 16634589 16803616 17222316 17357832 17707608 17839994 18286288 18430176 18904068 19045399 19361952 19429181 19582062 20056368 20273928 20433456 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439169058 454919847 457089576 466300344 469969488 483024196 485327968 504025248 511437384 515660966 528151024 532306848 538081008 545993964 557379272 561160463 565576026 585558744 590166288 594169902 606559796 609452768 615479793 621733792 627051681 642239784 647543566 681916512 685634364 699450516 704679763 724536294 727991952 754101368 756037872 773491449 780744992 792226536 798460272 807121512 820639724 829541554 836068908 848364039 856319712 876088354 878338116 909839694 914179152 932600688 939938976 966048392 971315349 1022874768 1031321932 1056302048 1076162016 1086804441 1091987928 1114758544 1122320926 1131152052 1171117488 1180332576 1188339804 1213119592 1230959586 1244312331 1254103362 1284479568 1295087132 1314132531 1364759541 1371268728 1398901032 1409359526 1449072588 1455983904 1508202736 1512075744 1546982898 1584453072 1596920544 1602465407 1614243024 1641279448 1659083108 1672137816 1683481389 1696728078 1752176708 1756676232 1819679388 1828358304 1846439379 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8694435528 8978567408 9049216416 9281897388 9506718432 9539727871 9614792442 9847676688 9954498648 10032826896 10100888334 10311516532 10360697056 10463156481 10513060248 10918076328 11008240622 11274876208 11592580704 11655784188 11979555971 12375863184 12684235734 12819723256 13272664864 13467851112 13573824624 13950875308 14017413664 14422188663 14557435104 14771515032 14893502018 14931747972 15467274798 15541045584 15769590372 16207634549 16512360933 16912314312 17388871056 17957134816 18563794776 19079455742 19229584884 19695353376 19908997296 20065653792 20201776668 20623033064 20926312962 21026120496 21836152656 22016481244 22340253027 22549752416 23200912197 23311568376 23959111942 24751726368 25368471468 25639446512 26935702224 27147649248 27901750616 28619183613 28844377326 29543030064 29787004036 29863495944 30934549596 31082091168 31389469443 31539180744 32415269098 33024721866 33824628624 34777742112 35938667913 37127589552 38158911484 38459169768 39817994592 40403553336 41246066128 41852625924 42052240992 43672305312 44032962488 44680506054 46401824394 46623136752 47918223884 48622903647 49537082799 50736942936 51278893024 53871404448 55803501232 57238367226 57688754652 59086060128 59291220059 59574008072 59726991888 61869099192 62778938886 63078361488 64830538196 66049443732 67020759081 67649257248 71877335826 74255179104 76317822968 76918339536 80807106672 82492132256 83705251848 85857550839 88065924976 89361012108 92803648788 93246273504 95836447768 97245807294 99074165598 101473885872 107816003739 111607002464 114476734452 115377509304 118582440118 119148016144 119453983776 123738198384 125557877772 126156722976 126594767153 129661076392 132098887464 134041518162 143754671652 145868710941 152635645936 153836679072 161614213344 167410503696 171715101678 176131849952 177873660177 178722024216 185607297576 191672895536 194491614588 198148331196 202947771744 203652451507 215632007478 228953468904 230755018608 237164880236 238296032288 247476396768 251115755544 253189534306 259322152784 264197774928 268083036324 275529787333 287509343304 291737421882 305271291872 334821007392 343430203356 355747320354 357444048432 371214595152 379784301459 383345791072 388983229176 396296662392 407304903014 431264014956 457906937808 461510037216 474329760472 502231511088 506379068612 518644305568 528395549856 533620980531 536166072648 551059574666 575018686608 583474843764 610957354521 686860406712 711494640708 714888096864 742429190304 759568602918 777966458352 792593324784 814609806028 826589361999 862528029912 915813875616 948659520944 1004463022176 1012758137224 1067241961062 1072332145296 1102119149332 1139352904377 1150037373216 1166949687528 1221914709042 1373720813424 1422989281416 1519137205836 1555932916704 1585186649568 1629219612056 1653178723998 1725056059824 1832872063563 1897319041888 2025516274448 2134483922124 2144664290592 2204238298664 2278705808754 2333899375056 2443829418084 2479768085997 2747441626848 2845978562832 3038274411672 3258439224112 3306357447996 3450112119648 3665744127126 4051032548896 4268967844248 4408476597328 4557411617508 4667798750112 4684006384661 4887658836168 4959536171994 5691957125664 6076548823344 6516878448224 6612714895992 7331488254252 8537935688496 8816953194656 9114823235016 9368012769322 9775317672336 9919072343988 12153097646688 13225429791984 14052019153983 14662976508504 17075871376992 18229646470032 18736025538644 19550635344672 19838144687976 26450859583968 28104038307966 29325953017008 36459292940064 37472051077288 39676289375952 42156057461949 56208076615932 58651906034016 74944102154576 79352578751904 84312114923898 112416153231864 149888204309152 168624229847796 224832306463728 337248459695592 449664612927456 674496919391184 1348993838782368
- Sum of all divisors σ(n): 4431548382992640
- Sum of proper divisors (its aliquot sum) s(n): 3082554544210272
- 1348993838782368 is an abundant number, because the sum of its proper divisors (3082554544210272) is greater than itself. Its abundance is 1733560705427904
Bases of 1348993838782368
- Binary: 1001100101011100111000110101001000010010111101000002
- Hexadecimal: 0x4CAE71A9097A0
- Base-36: DA6F7PMEG0
Squares and roots of 1348993838782368
- 1348993838782368 squared (13489938387823682) is 1819784377072789466708867687424
- 1348993838782368 cubed (13489938387823683) is 2454877912583602531583252799782369488186540032
-
The
square root of 1348993838782368 is 36728651.4696955353 -
The
cube root of 1348993838782368 is 110493.4808786127
Scales and comparisons
How big is 1348993838782368?- 1,348,993,838,782,368 seconds is equal to 42,893,831 years, 18 weeks, 5 days, 12 hours, 52 minutes, 48 seconds.
-
To count from 1 to 1,348,993,838,782,368 would take you about one hundred twenty-eight million, six hundred eighty-one thousand, four hundred ninety-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 1348993838782368 cubic inches would be around 9207.8 feet tall.
Recreational maths with 1348993838782368
- 1348993838782368 backwards is 8632878383998431
- The number of decimal digits it has is: 16
- The sum of 1348993838782368's digits is 90
- More coming soon!
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"Number 1348993838782368 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 1348993838782368 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/1348993838782368/
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The information we have on file for 1348993838782368 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 1348993838782368, math, Factors of 1348993838782368, curriculum, school, college, exams, university, Prime factorization of 1348993838782368, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, three hundred forty-eight trillion, nine hundred ninety-three billion, eight hundred thirty-eight million, seven hundred eighty-two thousand, three hundred sixty-eight.