13820401653102720
13,820,401,653,102,720 is an even composite number composed of seven prime numbers multiplied together.
13820401653102720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13820401653102720:
27 × 32 × 5 × 13 × 432 × 972 × 1032
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 43 × 43 × 97 × 97 × 103 × 103)See below for interesting mathematical facts about the number 13820401653102720 from the Numbermatics database.
Names of 13820401653102720
- Cardinal: 13820401653102720 can be written as Thirteen quadrillion, eight hundred twenty trillion, four hundred one billion, six hundred fifty-three million, one hundred two thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.382040165310272 × 1016
Factors of 13820401653102720
Divisors of 13820401653102720
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 43 45 48 52 60 64 65 72 78 80 86 90 96 97 103 104 117 120 128 129 130 144 156 160 172 180 192 194 195 206 208 215 234 240 258 260 288 291 309 312 320 344 360 384 387 388 390 412 416 430 468 480 485 515 516 520 559 576 582 585 618 624 640 645 688 720 774 776 780 824 832 860 873 927 936 960 970 1030 1032 1040 1118 1152 1164 1170 1236 1248 1261 1290 1339 1376 1440 1455 1545 1548 1552 1560 1648 1664 1677 1720 1746 1849 1854 1872 1920 1935 1940 2060 2064 2080 2236 2328 2340 2472 2496 2522 2580 2678 2752 2795 2880 2910 3090 3096 3104 3120 3296 3354 3440 3492 3698 3708 3744 3783 3870 3880 4017 4120 4128 4160 4171 4365 4429 4472 4635 4656 4680 4944 4992 5031 5044 5160 5356 5504 5547 5590 5760 5820 6180 6192 6208 6240 6305 6592 6695 6708 6880 6984 7396 7416 7488 7566 7740 7760 8034 8240 8256 8320 8342 8385 8730 8858 8944 9245 9270 9312 9360 9409 9888 9991 10062 10088 10320 10609 10712 11094 11180 11349 11640 12051 12360 12384 12416 12480 12513 12610 13184 13287 13390 13416 13760 13968 14792 14832 14976 15132 15480 15520 16068 16480 16512 16641 16684 16770 17460 17716 17888 18490 18540 18624 18720 18818 18915 19776 19982 20085 20124 20176 20640 20855 21218 21424 22145 22188 22360 22698 23280 24037 24102 24720 24768 24960 25026 25155 25220 26574 26780 26832 27520 27735 27936 28227 29584 29664 29973 30264 30960 31040 31827 32136 32960 33282 33368 33540 34920 35432 35776 36980 37080 37248 37440 37539 37636 37830 39552 39861 39964 40170 40248 40352 41280 41710 42436 42848 44290 44376 44720 45396 46560 47045 48074 48204 49440 49536 49955 50052 50310 50440 53045 53148 53560 53664 54223 55470 55872 56454 56745 57577 59168 59328 59946 60255 60528 61920 62080 62565 63654 64272 65920 66435 66564 66736 67080 69840 70864 71552 72111 73960 74160 74880 75078 75272 75660 79722 79928 80340 80496 80704 82560 83205 83420 84681 84872 85696 88580 88752 89440 89919 90792 93120 94090 95481 96148 96408 98880 99910 100104 100620 100880 106090 106296 107120 107328 108446 110940 111744 112908 113490 115154 118336 118656 119892 120185 120510 121056 122317 123840 125130 127308 128544 129883 132870 133128 133472 134160 137917 139680 141135 141728 144222 147920 148320 149865 150156 150544 151320 159135 159444 159856 160680 160992 161408 162669 166410 166840 169362 169744 171392 172731 177160 177504 178880 179353 179838 181584 186240 187695 188180 190447 190962 192296 192816 197760 199305 199820 200208 201240 201760 212180 212592 214240 214656 216333 216892 221880 225816 226980 230308 236672 239784 240370 241020 242112 244634 247680 250260 254616 257088 259766 265740 266256 266944 268320 271115 275834 279360 282270 283456 287885 288444 295840 296640 299730 300312 301088 302640 318270 318888 319712 321360 321984 325338 332820 333680 338724 339488 345462 354320 355008 357760 358706 359676 360555 363168 366951 375390 376360 380894 381924 384592 385632 389649 398610 399640 400416 402480 403520 404587 413751 423405 424360 425184 428480 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233578989540 240033375360 243552765056 244808191680 247358277010 249150922176 254880800640 257535808980 258035878512 260036156640 260541081216 273996860688 274704862912 276120867360 276657024384 278997126395 279538868388 286706531680 287481833280 293769830016 296829932412 304440956320 309042970776 311438652720 312043387968 322544848140 325676351520 331345040832 334796551674 342496075860 343381078640 344047838016 345821280480 346714875520 349423585485 365329147584 367212287520 368161156480 369134659538 371037415515 372718491184 373726383264 386303713470 390054234960 395773243216 412057294368 414181301040 415251536960 419308302582 430059797520 434235135360 445244898618 446395402232 456661434480 461095040640 465898113980 467157979080 489616383360 494716554020 498301844352 502194827511 515071617960 516071757024 520072313280 547993721376 549409725824 552241734720 553701989307 557994252790 559077736776 573413063360 574963666560 593659864824 608881912640 618085941552 622877305440 624086775936 645089696280 651352703040 662690081664 669593103348 684992151720 686762157280 688095676032 691642560960 698847170970 730658295168 734424575040 738269319076 742074831030 745436982368 747452766528 772607426940 780108469920 791546486432 824114588736 828362602080 830503073920 836991379185 838616605164 860119595040 890489797236 892790804464 913322868960 922836648845 931796227960 934315958160 989433108040 1004389655022 1030143235920 1032143514048 1040144626560 1048270756455 1095987442752 1104483469440 1107403978614 1113112246545 1115988505580 1118155473552 1146826126720 1187319729648 1217763825280 1236171883104 1245754610880 1290179392560 1302705406080 1339186206696 1369984303440 1373524314560 1383285121920 1397694341940 1468849150080 1476538638152 1484149662060 1490873964736 1494905533056 1545214853880 1560216939840 1583092972864 1648229177472 1656725204160 1661105967921 1673982758370 1677233210328 1720239190080 1780979594472 1785581608928 1826645737920 1845673297690 1863592455920 1868631916320 1978866216080 2008779310044 2060286471840 2064287028096 2096541512910 2191974885504 2214807957228 2226224493090 2231977011160 2236310947104 2374639459296 2399375286997 2472343766208 2491509221760 2510974137555 2580358785120 2678372413392 2739968606880 2747048629120 2768509946535 2795388683880 2953077276304 2968299324120 2981747929472 3090429707760 3120433879680 3166185945728 3313450408320 3322211935842 3347965516740 3354466420656 3440478380160 3561959188944 3571163217856 3653291475840 3691346595380 3727184911840 3737263832640 3957732432160 4017558620088 4120572943680 4193083025820 4429615914456 4452448986180 4463954022320 4472621894208 4749278918592 4798750573994 4944687532416 5021948275110 5160717570240 5356744826784 5479937213760 5537019893070 5590777367760 5906154552608 5936598648240 6180859415520 6644423871684 6695931033480 6708932841312 7123918377888 7142326435712 7198125860991 7382693190760 7454369823680 7474527665280 7915464864320 8035117240176 8241145887360 8305529839605 8386166051640 8859231828912 8904897972360 8927908044640 8945243788416 9498557837184 9597501147988 10043896550220 10321435140480 10713489653568 10959874427520 11074039786140 11181554735520 11812309105216 11873197296480 11996876434985 12361718831040 13288847743368 13391862066960 13417865682624 14247836755776 14396251721982 14765386381520 14908739647360 15830929728640 16070234480352 16611059679210 16772332103280 17718463657824 17809795944720 17855816089280 19195002295976 20087793100440 21426979307136 21594377582973 22148079572280 22363109471040 23624618210432 23746394592960 23993752869970 24723437662080 26577695486736 26783724133920 26835731365248 28495673511552 28792503443964 29530772763040 32140468960704 33222119358420 33544664206560 35436927315648 35619591889440 35711632178560 35990629304955 38390004591952 40175586200880 43188755165946 44296159144560 44726218942080 47492789185920 47987505739940 53155390973472 53567448267840 57585006887928 59061545526080 64280937921408 66444238716840 67089328413120 70873854631296 71239183778880 71981258609910 76780009183904 80351172401760 86377510331892 88592318289120 95975011479880 106310781946944 107134896535680 107971887914865 115170013775856 118123091052160 132888477433680 134178656826240 142478367557760 143962517219820 153560018367808 160702344803520 172755020663784 177184636578240 191950022959760 212621563893888 215943775829730 230340027551712 265776954867360 287925034439640 307120036735616 321404689607040 345510041327568 354369273156480 383900045919520 431887551659460 460680055103424 531553909734720 575850068879280 691020082655136 767800091839040 863775103318920 921360110206848 1063107819469440 1151700137758560 1382040165310272 1535600183678080 1727550206637840 2303400275517120 2764080330620544 3455100413275680 4606800551034240 6910200826551360 13820401653102720
- Sum of all divisors σ(n): 53686863411706980
- Sum of proper divisors (its aliquot sum) s(n): 39866461758604260
- 13820401653102720 is an abundant number, because the sum of its proper divisors (39866461758604260) is greater than itself. Its abundance is 26046060105501540
Bases of 13820401653102720
- Binary: 1100010001100110010101000000110010111110111000100000002
- Hexadecimal: 0x311995032FB880
- Base-36: 3S2X8VC2740
Squares and roots of 13820401653102720
- 13820401653102720 squared (138204016531027202) is 191003501853084395724602871398400
- 13820401653102720 cubed (138204016531027203) is 2639745112758776025531156485771824988505243648000
-
The
square root of 13820401653102720 is 117560204.3767478315 -
The
cube root of 13820401653102720 is 239979.1744261835
Scales and comparisons
How big is 13820401653102720?- 13,820,401,653,102,720 seconds is equal to 439,446,023 years, 13 weeks, 3 days, 11 hours, 12 minutes.
-
To count from 1 to 13,820,401,653,102,720 would take you about one billion, three hundred eighteen million, three hundred thirty-eight thousand and sixty-nine 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 13820401653102720 cubic inches would be around 19998.3 feet tall.
Recreational maths with 13820401653102720
- 13820401653102720 backwards is 02720135610402831
- 13820401653102720 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13820401653102720's digits is 45
- More coming soon!
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"Number 13820401653102720 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 13820401653102720 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/13820401653102720/
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Numbermatics. 2024. "Number 13820401653102720 - Facts about the integer". https://numbermatics.com/n/13820401653102720/
The information we have on file for 13820401653102720 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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