42609181980672
42,609,181,980,672 is an even composite number composed of five prime numbers multiplied together.
What does the number 42609181980672 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
42609181980672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 42609181980672:
211 × 35 × 312 × 412 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 31 × 31 × 41 × 41 × 53)See below for interesting mathematical facts about the number 42609181980672 from the Numbermatics database.
Names of 42609181980672
- Cardinal: 42609181980672 can be written as Forty-two trillion, six hundred nine billion, one hundred eighty-one million, nine hundred eighty thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 4.2609181980672 × 1013
Factors of 42609181980672
Divisors of 42609181980672
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 41 48 53 54 62 64 72 81 82 93 96 106 108 123 124 128 144 159 162 164 186 192 212 216 243 246 248 256 279 288 318 324 328 369 372 384 424 432 477 486 492 496 512 558 576 636 648 656 738 744 768 837 848 864 954 961 972 984 992 1024 1107 1116 1152 1271 1272 1296 1312 1431 1476 1488 1536 1643 1674 1681 1696 1728 1908 1922 1944 1968 1984 2048 2173 2214 2232 2304 2511 2542 2544 2592 2624 2862 2883 2952 2976 3072 3286 3321 3348 3362 3392 3456 3813 3816 3844 3888 3936 3968 4293 4346 4428 4464 4608 4929 5022 5043 5084 5088 5184 5248 5724 5766 5904 5952 6144 6519 6572 6642 6696 6724 6784 6912 7533 7626 7632 7688 7776 7872 7936 8586 8649 8692 8856 8928 9216 9858 9963 10044 10086 10168 10176 10368 10496 11439 11448 11532 11808 11904 12879 13038 13144 13284 13392 13448 13568 13824 14787 15066 15129 15252 15264 15376 15552 15744 15872 17172 17298 17384 17712 17856 18432 19557 19716 19926 20088 20172 20336 20352 20736 20992 22878 22896 23064 23616 23808 25758 25947 26076 26288 26568 26784 26896 27136 27648 29574 30132 30258 30504 30528 30752 31104 31488 31744 34317 34344 34596 34768 35424 35712 39114 39401 39432 39852 40176 40344 40672 40704 41472 41984 44361 45387 45756 45792 46128 47232 47616 50933 51516 51894 52111 52152 52576 53136 53568 53792 54272 55296 58671 59148 60264 60516 61008 61056 61504 62208 62976 63488 67363 68634 68688 69192 69536 70848 71424 77841 78228 78802 78864 79704 80352 80688 81344 81408 82944 83968 88722 89093 90774 91512 91584 92256 94464 95232 101866 102951 103032 103788 104222 104304 105152 106272 107136 107584 108544 117342 118203 118296 120528 121032 122016 122112 123008 124416 125952 133083 134726 136161 137268 137376 138384 139072 141696 142848 152799 155682 156333 156456 157604 157728 159408 160704 161376 162688 162816 165888 176013 177444 178186 181548 183024 183168 184512 188928 190464 202089 203732 205902 206064 207576 208444 208608 210304 212544 214272 215168 233523 234684 236406 236592 241056 242064 244032 244224 246016 248832 251904 266166 267279 269452 272322 274536 274752 276768 278144 283392 285696 305598 308853 311364 312666 312912 315208 315456 318816 321408 322752 325376 325632 352026 354609 354888 356372 363096 366048 366336 369024 377856 399249 404178 407464 408483 411804 412128 415152 416888 417216 420608 425088 428544 430336 458397 467046 468999 469368 472812 473184 482112 484128 488064 488448 492032 497664 528039 532332 534558 538904 544644 549072 549504 553536 556288 566784 571392 606267 611196 617706 622728 625332 625824 630416 630912 637632 642816 645504 650752 704052 709218 709776 712744 726192 732096 732672 738048 755712 798498 801837 808356 814928 816966 823608 824256 830304 833776 834432 841216 850176 857088 860672 916794 934092 937998 938736 945624 946368 964224 968256 976128 976896 984064 1056078 1063827 1064664 1069116 1077808 1089288 1098144 1099008 1107072 1112576 1133568 1212534 1222392 1235412 1245456 1250664 1251648 1260832 1261824 1275264 1285632 1291008 1301504 1375191 1406997 1408104 1418436 1419552 1425488 1452384 1464192 1465344 1476096 1596996 1603674 1615441 1616712 1629856 1633932 1647216 1648512 1660608 1667552 1668864 1682432 1700352 1714176 1721344 1818801 1833588 1868184 1875996 1877472 1891248 1892736 1928448 1936512 1952256 1968128 2088253 2112156 2127654 2129328 2138232 2155616 2178576 2196288 2198016 2214144 2225152 2267136 2405511 2425068 2444784 2470824 2490912 2501328 2503296 2521664 2523648 2550528 2571264 2582016 2603008 2750382 2761883 2813994 2816208 2836872 2839104 2850976 2904768 2928384 2930688 2952192 3191481 3193992 3207348 3230882 3233424 3259712 3267864 3294432 3297024 3321216 3335104 3337728 3364864 3400704 3442688 3637602 3667176 3736368 3751992 3754944 3782496 3785472 3856896 3873024 3904512 4125573 4176506 4220991 4224312 4255308 4258656 4276464 4311232 4357152 4392576 4396032 4428288 4450304 4811022 4846323 4850136 4889568 4941648 4981824 5002656 5006592 5043328 5047296 5101056 5142528 5164032 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265140768 267296384 270143424 270355968 272339712 272553984 273693696 278857728 298283364 300708432 306382176 307905408 310164672 310408704 312932352 316265472 320169984 338296986 342473492 346393584 348935256 349209792 352048896 353521024 360191232 360474624 363119616 392552163 396055008 397711152 400944576 405215136 408509568 408830976 410540544 413552896 413878272 418286592 447425046 451062648 461858112 465247008 465613056 469398528 478255104 480254976 507445479 513710238 523402884 523814688 528073344 530281536 534592768 540286848 540711936 544679424 547387392 596566728 601416864 612764352 615810816 620329344 620817408 632530944 671137569 676593972 684946984 692787168 697870512 698419584 704097792 707042048 720382464 726239232 770565357 785104326 792110016 795422304 801889152 810430272 817019136 817661952 821081088 827105792 836573184 894850092 902125296 923716224 930494016 931226112 938797056 960509952 1014890958 1027420476 1046805768 1047629376 1056146688 1060563072 1069185536 1080573696 1081423872 1089358848 1193133456 1202833728 1225528704 1231621632 1240658688 1241634816 1342275138 1353187944 1369893968 1385574336 1395741024 1396839168 1408195584 1414084096 1440764928 1541130714 1570208652 1584220032 1590844608 1603778304 1620860544 1634038272 1642162176 1654211584 1789700184 1804250592 1847432448 1860988032 1862452224 2029781916 2054840952 2093611536 2095258752 2112293376 2121126144 2138371072 2161147392 2178717696 2311696071 2386266912 2405667456 2451057408 2463243264 2481317376 2684550276 2706375888 2739787936 2771148672 2791482048 2793678336 2816391168 2828168192 2881529856 3082261428 3140417304 3168440064 3181689216 3207556608 3241721088 3268076544 3308423168 3579400368 3608501184 3694864896 3721976064 3724904448 4059563832 4109681904 4187223072 4190517504 4224586752 4242252288 4276742144 4322294784 4623392142 4772533824 4811334912 4902114816 4926486528 4962634752 5369100552 5412751776 5479575872 5542297344 5582964096 5587356672 5656336384 6164522856 6280834608 6336880128 6363378432 6415113216 6483442176 6536153088 6935088213 7158800736 7217002368 7389729792 7443952128 8119127664 8219363808 8374446144 8381035008 8449173504 8484504576 8644589568 9246784284 9545067648 9622669824 9804229632 9925269504 10738201104 10825503552 10959151744 11084594688 11165928192 11174713344 12329045712 12561669216 12673760256 12726756864 12830226432 12966884352 13870176426 14317601472 14434004736 14779459584 14887904256 16238255328 16438727616 16748892288 16762070016 16969009152 18493568568 19090135296 19245339648 19608459264 20805264639 21476402208 21651007104 21918303488 22169189376 22331856384 24658091424 25123338432 25347520512 25453513728 25933768704 27740352852 28635202944 28868009472 29775808512 32476510656 32877455232 33497784576 33524140032 36987137136 38180270592 38490679296 41610529278 42952804416 43302014208 43836606976 44338378752 44663712768 49316182848 50246676864 50907027456 55480705704 57270405888 57736018944 64953021312 65754910464 66995569152 73974274272 76360541184 83221058556 85905608832 86604028416 87673213952 89327425536 98632365696 100493353728 110961411408 114540811776 115472037888 129906042624 131509820928 133991138304 147948548544 152721082368 166442117112 171811217664 173208056832 175346427904 197264731392 200986707456 221922822816 229081623552 259812085248 263019641856 267982276608 295897097088 332884234224 343622435328 346416113664 394529462784 401973414912 443845645632 458163247104 519624170496 526039283712 591794194176 665768468448 687244870656 789058925568 803946829824 887691291264 1039248340992 1183588388352 1331536936896 1374489741312 1578117851136 1775382582528 2367176776704 2663073873792 3550765165056 4734353553408 5326147747584 7101530330112 10652295495168 14203060660224 21304590990336 42609181980672
- Sum of all divisors σ(n): 137715738549480
- Sum of proper divisors (its aliquot sum) s(n): 95106556568808
- 42609181980672 is an abundant number, because the sum of its proper divisors (95106556568808) is greater than itself. Its abundance is 52497374588136
Bases of 42609181980672
- Binary: 10011011000000101110010010011111111000000000002
- Hexadecimal: 0x26C0B927F800
- Base-36: F3QDYTC00
Squares and roots of 42609181980672
- 42609181980672 squared (426091819806722) is 1815542389062023460981571584
- 42609181980672 cubed (426091819806723) is 77358776049167763641442892814832472424448
-
The
square root of 42609181980672 is 6527570.9096624909 -
The
cube root of 42609181980672 is 34927.5185681281
Scales and comparisons
How big is 42609181980672?- 42,609,181,980,672 seconds is equal to 1,354,840 years, 9 weeks, 5 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 42,609,181,980,672 would take you about three million, three hundred eighty-seven thousand, one hundred 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 42609181980672 cubic inches would be around 2910.6 feet tall.
Recreational maths with 42609181980672
- 42609181980672 backwards is 27608918190624
- The number of decimal digits it has is: 14
- The sum of 42609181980672's digits is 63
- More coming soon!
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Cite this page
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"Number 42609181980672 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 42609181980672 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/42609181980672/
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The information we have on file for 42609181980672 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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