13820207949145728
13,820,207,949,145,728 is an even composite number composed of six prime numbers multiplied together.
What does the number 13820207949145728 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
13820207949145728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13820207949145728:
27 × 33 × 132 × 19 × 653 × 13812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 19 × 653 × 1381 × 1381)See below for interesting mathematical facts about the number 13820207949145728 from the Numbermatics database.
Names of 13820207949145728
- Cardinal: 13820207949145728 can be written as Thirteen quadrillion, eight hundred twenty trillion, two hundred seven billion, nine hundred forty-nine million, one hundred forty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3820207949145728 × 1016
Factors of 13820207949145728
Divisors of 13820207949145728
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 64 72 76 78 96 104 108 114 117 128 144 152 156 169 171 192 208 216 228 234 247 288 304 312 338 342 351 384 416 432 456 468 494 507 513 576 608 624 653 676 684 702 741 832 864 912 936 988 1014 1026 1152 1216 1248 1306 1352 1368 1381 1404 1482 1521 1664 1728 1824 1872 1959 1976 2028 2052 2223 2432 2496 2612 2704 2736 2762 2808 2964 3042 3211 3456 3648 3744 3918 3952 4056 4104 4143 4446 4563 4992 5224 5408 5472 5524 5616 5877 5928 6084 6422 6669 7296 7488 7836 7904 8112 8208 8286 8489 8892 9126 9633 10448 10816 10944 11048 11232 11754 11856 12168 12407 12429 12844 13338 14976 15672 15808 16224 16416 16572 16978 17631 17784 17953 18252 19266 20896 21632 21888 22096 22464 23508 23712 24336 24814 24858 25467 25688 26239 26676 28899 31344 31616 32448 32832 33144 33956 35262 35568 35906 36504 37221 37287 38532 41792 44192 44928 47016 47424 48672 49628 49716 50934 51376 52478 53352 53859 57798 62688 64896 65664 66288 67912 70524 71136 71812 73008 74442 74574 76401 77064 78717 83584 86697 88384 94032 94848 97344 99256 99432 101868 102752 104956 106704 107718 110357 111663 115596 125376 132576 135824 141048 142272 143624 146016 148884 149148 152802 154128 157434 161291 161577 173394 176768 188064 194688 198512 198864 203736 205504 209912 213408 215436 220714 223326 229203 231192 233389 236151 250752 265152 271648 282096 284544 287248 292032 297768 298296 305604 308256 314868 322582 323154 331071 334989 341107 346788 376128 397024 397728 407472 411008 419824 426816 430872 441428 446652 458406 462384 466778 472302 483873 484731 530304 543296 564192 574496 584064 595536 596592 611208 616512 629736 645164 646308 662142 669978 682214 693576 700167 708453 752256 794048 795456 814944 839648 853632 861744 882856 893304 901793 916812 924768 933556 944604 967746 969462 993213 1023321 1086592 1128384 1148992 1191072 1193184 1222416 1233024 1259472 1290328 1292616 1324284 1339956 1364428 1387152 1400334 1416906 1451619 1588096 1590912 1629888 1679296 1723488 1765712 1786608 1803586 1833624 1849536 1867112 1889208 1907161 1935492 1938924 1986426 2046642 2096783 2100501 2256768 2297984 2382144 2386368 2444832 2518944 2580656 2585232 2648568 2679912 2705379 2728856 2774304 2800668 2833812 2903238 2979639 3069963 3259776 3358592 3446976 3531424 3573216 3607172 3667248 3699072 3734224 3778416 3814322 3870984 3877848 3972852 4093284 4193566 4201002 4354857 4434391 4764288 4772736 4889664 5037888 5161312 5170464 5297136 5359824 5410758 5457712 5548608 5601336 5667624 5721483 5806476 5959278 6139926 6290349 6301503 6893952 7062848 7146432 7214344 7334496 7468448 7556832 7628644 7741968 7755696 7945704 8116137 8186568 8387132 8402004 8709714 8868782 9209889 9779328 10075776 10322624 10340928 10594272 10719648 10821516 10915424 11097216 11202672 11335248 11442966 11612952 11723309 11918556 12279852 12580698 12603006 13303173 14125696 14292864 14428688 14668992 14936896 15113664 15257288 15483936 15511392 15891408 16232274 16373136 16774264 16804008 17134067 17164449 17419428 17737564 18419778 18871047 20645248 20681856 21188544 21439296 21643032 21830848 22405344 22670496 22885932 23225904 23446618 23837112 24348411 24559704 24793093 25161396 25206012 26606346 28857376 29337984 29873792 30227328 30514576 30967872 31022784 31782816 32464548 32746272 33548528 33608016 34268134 34328898 34838856 35169927 35475128 36236059 36839556 37742094 39909519 42377088 42878592 43286064 43661696 44810688 45340992 45771864 46451808 46893236 47674224 48696822 49119408 49586186 50322792 50412024 51402201 51493347 53212692 56613141 57714752 61029152 61935744 62045568 63565632 64929096 65492544 67097056 67216032 68536268 68657796 69677712 70339854 70950256 72472118 73679112 74379279 75484188 79819038 86572128 89621376 90681984 91543728 92903616 93786472 95348448 97393644 98238816 99172372 100645584 100824048 102804402 102986694 105509781 106425384 108708177 113226282 115429504 119728557 122058304 127131264 129858192 130985088 134194112 134432064 137072536 137315592 139355424 140679708 141900512 144944236 147358224 148758558 150968376 152403017 154206603 159638076 173144256 183087456 185807232 187572944 190696896 194787288 196477632 198344744 201291168 201648096 205608804 205973388 211019562 212850768 217416354 222742871 223137837 226452564 239457114 244116608 259716384 268388224 268864128 274145072 274631184 278710848 281359416 283801024 289888472 294716448 297517116 301936752 304806034 308413206 316529343 319276152 322310209 326124531 346288512 366174912 375145888 381393792 389574576 392955264 396689488 402582336 403296192 411217608 411946776 422039124 425701536 434832708 445485742 446275674 452905128 457209051 462619809 471068767 478914228 519432768 548290144 549262368 557421696 562718832 567602048 579776944 589432896 595034232 603873504 609612068 616826412 633058686 638552304 644620418 652249062 668228613 669413511 732349824 750291776 779149152 793378976 805164672 806592384 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4876896544 4934611296 4981504532 5064469488 5108418432 5156963344 5217992496 5345828904 5355308088 5486508612 5652825204 5791314646 5801583762 6014057517 6123893971 6579481728 6591148416 6752625984 6957323328 7127771872 7140410784 7246482048 7315344816 7401916944 7472256798 7537100272 7662627648 7735445016 7826988744 8018743356 8229762918 8479237806 8686971969 8702375643 9520547712 9753793088 9869222592 9963009064 10128938976 10313926688 10435984992 10691657808 10710616176 10973017224 11208385197 11305650408 11582629292 11603167524 12028115034 12247787942 12718856709 13505251968 13914646656 14255543744 14280821568 14630689632 14803833888 14944513596 15074200544 15325255296 15470890032 15653977488 16037486712 16189889729 16459525836 16958475612 17373943938 17404751286 18371681913 19507586176 19738445184 19926018128 20257877952 20627853376 20871969984 21383315616 21421232352 21946034448 22416770394 22611300816 23165258584 23206335048 23662146527 24056230068 24495575884 25437713418 26060915907 28511087488 28561643136 29261379264 29607667776 29889027192 30148401088 30941780064 31307954976 32074973424 32379779458 32919051672 33625155591 33916951224 34747887876 34809502572 36743363826 39852036256 40515755904 41255706752 41743939968 42766631232 42842464704 43892068896 44833540788 45222601632 46330517168 46412670096 47324293054 48112460136 48569669187 48991151768 50875426836 52121831814 55115045739 58522758528 59215335552 59778054384 60296802176 61883560128 62615909952 64149946848 64759558916 65838103344 67250311182 67833902448 69495775752 69619005144 70986439581 73486727652 78182747721 79704072512 85533262464 85684929408 87784137792 89667081576 90445203264 92661034336 92825340192 94648586108 96224920272 97139338374 97982303536 101750853672 104243663628 110230091478 119556108768 123767120256 125231819904 128299893696 129519117832 131676206688 134500622364 135667804896 138991551504 139238010288 141972879162 145709007561 146973455304 156365495442 159408145024 165345137217 175568275584 179334163152 180890406528 185322068672 185650680384 189297172216 192449840544 194278676748 195964607072 203501707344 208487327256 210468566477 212959318743 220460182956 239112217536 256599787392 259038235664 263352413376 269001244728 271335609792 277983103008 278476020576 283945758324 291418015122 293946910608 307607904851 312730990884 330690274434 358668326304 370644137344 371301360768 378594344432 384899681088 388557353496 391929214144 407003414688 416974654512 420937132954 425918637486 437127022683 440920365912 478224435072 518076471328 526704826752 538002489456 542671219584 555966206016 556952041152 567891516648 582836030244 587893821216 615215809702 625461981768 631405699431 638877956229 661380548868 717336652608 757188688864 769799362176 777114706992 783858428288 814006829376 833949309024 841874265908 851837274972 874254045366 881840731824 922823714553 1036152942656 1076004978912 1111932412032 1113904082304 1135783033296 1165672060488 1175787642432 1230431619404 1250923963536 1262811398862 1277755912458 1322761097736 1434673305216 1514377377728 1554229413984 1628013658752 1667898618048 1683748531816 1703674549944 1748508090732 1763681463648 1845647429106 1894217098293 2072305885312 2152009957824 2271566066592 2331344120976 2351575284864 2460863238808 2501847927072 2525622797724 2555511824916 2645522195472 2768471143659 3028754755456 3108458827968 3335797236096 3367497063632 3407349099888 3497016181464 3527362927296 3691294858212 3788434196586 3998902763063 4304019915648 4543132133184 4662688241952 4921726477616 5003695854144 5051245595448 5111023649832 5291044390944 5536942287318 5682651294879 6216917655936 6734994127264 6814698199776 6994032362928 7054725854592 7382589716424 7576868393172 7997805526126 8305413430977 9086264266368 9325376483904 9843452955232 10007391708288 10102491190896 10222047299664 10582088781888 11073884574636 11365302589758 11996708289189 13469988254528 13629396399552 13988064725856 14765179432848 15153736786344 15995611052252 16610826861954 18650752967808 19686905910464 20204982381792 20444094599328 21164177563776 22147769149272 22730605179516 23993416578378 26939976509056 27258792799104 27976129451712 29530358865696 30307473572688 31991222104504 33221653723908 35990124867567 39373811820928 40409964763584 40888189198656 44295538298544 45461210359032 47986833156756 55952258903424 59060717731392 60614947145376 63982444209008 66443307447816 71980249735134 80819929527168 81776378397312 88591076597088 90922420718064 95973666313512 107970374602701 118121435462784 121229894290752 127964888418016 132886614895632 143960499470268 177182153194176 181844841436128 191947332627024 215940749205402 242459788581504 255929776836032 265773229791264 287920998940536 354364306388352 363689682872256 383894665254048 431881498410804 511859553672064 531546459582528 575841997881072 727379365744512 767789330508096 863762996821608 1063092919165056 1151683995762144 1535578661016192 1727525993643216 2303367991524288 3455051987286432 4606735983048576 6910103974572864 13820207949145728
- Sum of all divisors σ(n): 46597321638504000
- Sum of proper divisors (its aliquot sum) s(n): 32777113689358272
- 13820207949145728 is an abundant number, because the sum of its proper divisors (32777113689358272) is greater than itself. Its abundance is 18956905740212544
Bases of 13820207949145728
- Binary: 1100010001100101100111111010011000011111100110100000002
- Hexadecimal: 0x311967E987E680
- Base-36: 3S2URVTQ5C0
Squares and roots of 13820207949145728
- 13820207949145728 squared (138202079491457282) is 190998147757630769129004980649984
- 13820207949145728 cubed (138202079491457283) is 2639634119912119059000082456763131701342976868352
-
The
square root of 13820207949145728 is 117559380.5238260347 -
The
cube root of 13820207949145728 is 239978.0532544059
Scales and comparisons
How big is 13820207949145728?- 13,820,207,949,145,728 seconds is equal to 439,439,864 years, 3 weeks, 5 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 13,820,207,949,145,728 would take you about one billion, three hundred eighteen million, three hundred nineteen thousand, five hundred ninety-two 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 13820207949145728 cubic inches would be around 19998.2 feet tall.
Recreational maths with 13820207949145728
- 13820207949145728 backwards is 82754194970202831
- 13820207949145728 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13820207949145728's digits is 72
- More coming soon!
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"Number 13820207949145728 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 13820207949145728 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13820207949145728/
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The information we have on file for 13820207949145728 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 13820207949145728, math, Factors of 13820207949145728, curriculum, school, college, exams, university, Prime factorization of 13820207949145728, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred twenty trillion, two hundred seven billion, nine hundred forty-nine million, one hundred forty-five thousand, seven hundred twenty-eight.