131378691971072
131,378,691,971,072 is an even composite number composed of six prime numbers multiplied together.
131378691971072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 131378691971072:
211 × 72 × 132 × 127 × 181 × 337
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 127 × 181 × 337)See below for interesting mathematical facts about the number 131378691971072 from the Numbermatics database.
Names of 131378691971072
- Cardinal: 131378691971072 can be written as One hundred thirty-one trillion, three hundred seventy-eight billion, six hundred ninety-one million, nine hundred seventy-one thousand and seventy-two.
Scientific notation
- Scientific notation: 1.31378691971072 × 1014
Factors of 131378691971072
Divisors of 131378691971072
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 127 128 169 181 182 196 208 224 254 256 337 338 362 364 392 416 448 508 512 637 674 676 724 728 784 832 889 896 1016 1024 1183 1267 1274 1348 1352 1448 1456 1568 1651 1664 1778 1792 2032 2048 2353 2359 2366 2534 2548 2696 2704 2896 2912 3136 3302 3328 3556 3584 4064 4381 4706 4718 4732 5068 5096 5392 5408 5792 5824 6223 6272 6604 6656 7112 7168 8128 8281 8762 8869 9412 9436 9464 10136 10192 10784 10816 11557 11584 11648 12446 12544 13208 13312 14224 14336 16256 16471 16513 16562 17524 17738 18824 18872 18928 20272 20384 21463 21568 21632 22987 23114 23168 23296 24892 25088 26416 26624 28448 30589 30667 32512 32942 33026 33124 35048 35476 37648 37744 37856 40544 40768 42799 42926 43136 43264 45974 46228 46336 46592 49784 50176 52832 56896 56953 60997 61178 61334 65024 65884 66052 66248 70096 70952 75296 75488 75712 80899 81088 81536 85598 85852 86272 86528 91948 92456 92672 93184 99568 100352 105664 113792 113906 115297 121994 122356 122668 130048 131768 132104 132496 140192 141904 150241 150592 150976 151424 160909 161798 162176 163072 171196 171704 172544 173056 183896 184912 185344 186368 199136 211328 214123 214669 227584 227812 230594 243988 244712 245336 260096 263536 264208 264992 280384 283808 298831 299593 300482 301184 301952 302848 321818 323596 324352 326144 342392 343408 345088 346112 367792 369824 370688 398272 398671 422656 426979 428246 429338 455168 455624 461188 487976 489424 490672 527072 528416 529984 556387 560768 567616 597662 599186 600964 602368 603904 605696 643636 647192 648704 652288 684784 686816 690176 735584 739648 792961 796544 797342 845312 853958 856492 858676 910336 911248 922376 975952 978848 981344 1051687 1054144 1056832 1059968 1112774 1121536 1126363 1135232 1195324 1198372 1201928 1204736 1207808 1211392 1287272 1294384 1297408 1304576 1369568 1373632 1471168 1479296 1498861 1585922 1593088 1594684 1690624 1707916 1712984 1717352 1820672 1822496 1844752 1951904 1957696 1962688 2091817 2097151 2103374 2108288 2113664 2119936 2225548 2243072 2252726 2270464 2390648 2396744 2403856 2409472 2415616 2422784 2574544 2588768 2594816 2739136 2747264 2790697 2942336 2958592 2988853 2997722 3171844 3186176 3189368 3381248 3415832 3425968 3434704 3644992 3689504 3884803 3894709 3903808 3915392 3925376 4183634 4194302 4206748 4216576 4227328 4239872 4451096 4486144 4505452 4540928 4781296 4793488 4807712 4818944 4831232 5149088 5177536 5478272 5494528 5550727 5581394 5884672 5917184 5977706 5995444 6343688 6372352 6378736 6831664 6851936 6869408 7233031 7289984 7379008 7746619 7769606 7789418 7807616 7830784 7850752 8367268 8388604 8413496 8433152 8454656 8479744 8902192 8972288 9010904 9081856 9562592 9586976 9615424 10298176 10308493 10355072 10956544 10989056 11101454 11162788 11769344 11834368 11955412 11990888 12687376 12744704 12757472 13663328 13703872 13738816 14466062 14579968 14642719 14758016 15493238 15539212 15578836 15615232 15661568 15701504 16734536 16777208 16826992 16866304 16909312 16959488 17804384 18021808 18163712 19125184 19173952 19230848 20596352 20616986 20710144 21913088 21978112 22202908 22325576 23538688 23668736 23910824 23981776 25374752 25514944 27193621 27262963 27326656 27407744 27477632 28932124 29159936 29285438 29516032 30986476 31078424 31157672 31230464 31323136 31403008 33469072 33554416 33653984 33732608 33818624 35608768 36043616 38250368 38347904 38461696 38855089 41192704 41233972 41420288 43826176 43956224 44405816 44651152 47077376 47821648 47963552 50631217 50749504 51029888 54226333 54387242 54525926 54653312 54815488 54955264 57864248 58319872 58570876 59032064 61972952 62156848 62315344 62460928 62646272 62806016 66938144 67108832 67307968 71217536 72087232 72159451 76500736 76695808 76923392 77710178 82385408 82467944 82840576 87652352 88811632 89302304 95643296 95927104 100706047 101262434 101499008 102059776 108452666 108774484 109051852 109306624 109630976 109910528 115728496 116639744 117141752 118064128 123945904 124313696 124630688 124921856 133876288 134217664 134615936 142435072 144174464 144318902 153001472 153391616 153846784 155420356 164770816 164935888 165681152 177623264 178604608 190355347 191286592 191854208 201412094 202524868 202998016 204119552 216905332 217548968 218103704 218613248 219261952 219821056 231456992 234283504 236128256 247891808 248627392 249261376 267752576 268435328 269231872 284870144 288348928 288637804 306002944 306783232 307693568 310840712 329541632 329871776 354418519 355246528 357209216 379584331 380710694 382573184 383708416 402824188 405049736 405996032 408239104 433810664 435097936 436207408 437226496 438523904 439642112 462913984 468567008 495783616 497254784 498522752 505116157 535505152 536870656 538463744 569740288 576697856 577275608 612005888 613566464 621681424 659743552 704942329 708837038 710493056 714418432 759168662 761421388 765146368 767416832 805648376 810099472 811992064 816478208 867621328 870195872 872414816 874452992 925827968 937134016 991567232 994509568 997045504 1010232314 1071010304 1073741312 1076927488 1139480576 1153395712 1154551216 1243362848 1309178611 1319487104 1409884658 1417674076 1420986112 1428836864 1518337324 1522842776 1530292736 1534833664 1611296752 1620198944 1623984128 1735242656 1740391744 1744829632 1851655936 1874268032 1983134464 1989019136 1994091008 2020464628 2142020608 2147482624 2153854976 2306791424 2309102432 2486725696 2618357222 2638974208 2819769316 2835348152 2841972224 2857673728 3036674648 3045685552 3060585472 3069667328 3222593504 3240397888 3470485312 3480783488 3489659264 3703311872 3748536064 3966268928 3978038272 3988182016 4040929256 4284041216 4294965248 4618204864 4934596303 4973451392 5236714444 5277948416 5639538632 5670696304 5683944448 5715347456 6073349296 6091371104 6121170944 6445187008 6480795776 6940970624 6961566976 6979318528 7406623744 7497072128 7932537856 7956076544 7976364032 8081858512 9164250277 9236409728 9869192606 9946902784 10473428888 10555896832 11279077264 11341392608 11367888896 12146698592 12182742208 12890374016 12961591552 13881941248 13923133952 13958637056 14813247488 14994144256 15865075712 16163717024 18328500554 18472819456 19738385212 19893805568 20946857776 21111793664 22558154528 22682785216 24293397184 24365484416 25780748032 25923183104 27763882496 27846267904 27917274112 29988288512 32327434048 36657001108 36945638912 39476770424 39787611136 41893715552 45116309056 45365570432 48586794368 48730968832 51561496064 51846366208 55527764992 55692535808 55834548224 64149751939 64654868096 73314002216 73891277824 78953540848 79575222272 83787431104 90232618112 90731140864 97173588736 97461937664 103122992128 103692732416 111055529984 128299503878 129309736192 146628004432 147782555648 157907081696 167574862208 180465236224 181462281728 194347177472 194923875328 206245984256 256599007756 258619472384 293256008864 315814163392 335149724416 360930472448 362924563456 388694354944 389847750656 513198015512 517238944768 586512017728 631628326784 670299448832 721860944896 725849126912 777388709888 1026396031024 1034477889536 1173024035456 1263256653568 1340598897664 1443721889792 2052792062048 2346048070912 2526513307136 2681197795328 4105584124096 4692096141824 5053026614272 8211168248192 9384192283648 10106053228544 16422336496384 18768384567296 32844672992768 65689345985536 131378691971072
- Sum of all divisors σ(n): 336339527247360
- Sum of proper divisors (its aliquot sum) s(n): 204960835276288
- 131378691971072 is an abundant number, because the sum of its proper divisors (204960835276288) is greater than itself. Its abundance is 73582143305216
Bases of 131378691971072
- Binary: 111011101111100111111000100010000011000000000002
- Hexadecimal: 0x777CFC441800
- Base-36: 1AKIJD3OJK
Squares and roots of 131378691971072
- 131378691971072 squared (1313786919710722) is 17260360704029818396484829184
- 131378691971072 cubed (1313786919710723) is 2267643612244328955481539669463834189365248
-
The
square root of 131378691971072 is 11462054.4393695845 -
The
cube root of 131378691971072 is 50836.4221992067
Scales and comparisons
How big is 131378691971072?- 131,378,691,971,072 seconds is equal to 4,177,436 years, 1 week, 1 day, 15 hours, 4 minutes, 32 seconds.
-
To count from 1 to 131,378,691,971,072 would take you about ten million, four hundred forty-three thousand, five hundred ninety 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 131378691971072 cubic inches would be around 4236.4 feet tall.
Recreational maths with 131378691971072
- 131378691971072 backwards is 270179196873131
- The number of decimal digits it has is: 15
- The sum of 131378691971072's digits is 65
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 131378691971072 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 131378691971072 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/131378691971072/
Chicago style:
Numbermatics. 2024. "Number 131378691971072 - Facts about the integer". https://numbermatics.com/n/131378691971072/
The information we have on file for 131378691971072 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 131378691971072, math, Factors of 131378691971072, curriculum, school, college, exams, university, Prime factorization of 131378691971072, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one trillion, three hundred seventy-eight billion, six hundred ninety-one million, nine hundred seventy-one thousand and seventy-two.