42162632347968
42,162,632,347,968 is an even composite number composed of six prime numbers multiplied together.
What does the number 42162632347968 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
42162632347968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 42162632347968:
26 × 32 × 113 × 53 × 892 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 53 × 89 × 89 × 131)See below for interesting mathematical facts about the number 42162632347968 from the Numbermatics database.
Names of 42162632347968
- Cardinal: 42162632347968 can be written as Forty-two trillion, one hundred sixty-two billion, six hundred thirty-two million, three hundred forty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2162632347968 × 1013
Factors of 42162632347968
Divisors of 42162632347968
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 53 64 66 72 88 89 96 99 106 121 131 132 144 159 176 178 192 198 212 242 262 264 267 288 318 352 356 363 393 396 424 477 484 524 528 534 576 583 636 704 712 726 786 792 801 848 954 968 979 1048 1056 1068 1089 1166 1179 1272 1331 1424 1441 1452 1572 1584 1602 1696 1749 1908 1936 1958 2096 2112 2136 2178 2332 2358 2544 2662 2848 2882 2904 2937 3144 3168 3204 3392 3498 3816 3872 3916 3993 4192 4272 4323 4356 4664 4716 4717 5088 5247 5324 5696 5764 5808 5874 6288 6336 6408 6413 6943 6996 7632 7744 7832 7921 7986 8384 8544 8646 8712 8811 9328 9432 9434 10176 10494 10648 10769 11528 11616 11659 11748 11979 12576 12816 12826 12969 13886 13992 14151 15264 15664 15842 15851 15972 17088 17292 17424 17622 18656 18864 18868 19239 20829 20988 21296 21538 23056 23232 23318 23496 23763 23958 25152 25632 25652 25938 27772 27984 28302 30528 31328 31684 31702 31944 32307 34584 34848 34977 35244 37312 37728 37736 38478 41658 41976 42453 42592 43076 46112 46636 46992 47526 47553 47916 51264 51304 51876 51887 55544 55968 56604 57717 62487 62656 63368 63404 63888 64614 69168 69696 69954 70488 70543 71289 75456 75472 76373 76956 83316 83952 84906 85184 86152 87131 92224 93272 93984 95052 95106 95832 96921 102608 103752 103774 104931 111088 111936 113208 115434 118459 124974 126736 126808 127776 128249 129228 138336 139908 140976 141086 142578 142659 150944 152746 153912 155661 166632 167904 169812 172304 174262 174361 186544 187968 190104 190212 191664 193842 205216 207504 207548 209862 211629 222176 226416 229119 230868 236918 249948 253472 253616 255552 256498 258456 261393 276672 279816 281952 282172 285156 285318 301888 305492 307824 311322 333264 335808 339624 344608 348524 348722 355377 373088 380208 380424 383328 384747 387684 410432 415008 415096 419724 419813 423258 444352 452832 458238 461736 466983 473836 499896 506944 507232 512996 516912 522786 523083 559632 563904 564344 570312 570636 570757 610984 615648 617927 622644 634887 666528 679248 687357 689216 697048 697444 710754 746176 760416 760848 766656 769494 775368 784179 830016 830192 839448 839626 840103 846516 905664 916476 923472 933966 947672 958441 999792 1014464 1025992 1033824 1037651 1045572 1046166 1066131 1119264 1128688 1140624 1141272 1141514 1154241 1221968 1231296 1235854 1245288 1259439 1269774 1333056 1358496 1374714 1394096 1394888 1410739 1421508 1520832 1521696 1538988 1550736 1568358 1569249 1660384 1678896 1679252 1680206 1693032 1712271 1832952 1846944 1853781 1867932 1895344 1916882 1999584 2051984 2067648 2075302 2091144 2092332 2132262 2238528 2257376 2281248 2282544 2283028 2308482 2443936 2471708 2490576 2518878 2520309 2539548 2716992 2749428 2788192 2789776 2821478 2843016 2875323 3043392 3077976 3101472 3112953 3136716 3138498 3320768 3357792 3358504 3360412 3386064 3424542 3665904 3693888 3707562 3735864 3778317 3790688 3833764 3999168 4103968 4150604 4182288 4184664 4232217 4264524 4514752 4562496 4565088 4566056 4616964 4617943 4887872 4943416 4981152 5037756 5040618 5079096 5136813 5498856 5561343 5576384 5579552 5642956 5686032 5750646 6155952 6202944 6225906 6273432 6276996 6278327 6715584 6717008 6720824 6772128 6797197 6849084 7331808 7415124 7471728 7556634 7560927 7581376 7667528 8207936 8301208 8364576 8369328 8464434 8529048 8625969 9130176 9132112 9233928 9235886 9241133 9338859 9886832 9962304 10075512 10081236 10158192 10273626 10542851 10997712 11122686 11159104 11285912 11372064 11414161 11501292 12311904 12451812 12546864 12553992 12556654 12696651 13434016 13441648 13544256 13594394 13698168 13853829 14663616 14830248 14943456 15113268 15121854 15335056 15518129 16602416 16729152 16738656 16928868 17058096 17251938 18264224 18467856 18471772 18482266 18677718 18834981 19773664 20151024 20162472 20316384 20391591 20547252 21085702 21995424 22245372 22571824 22744128 22828322 23002584 24623808 24903624 25093728 25107984 25113308 25393302 26868032 26883296 27188788 27396336 27707658 27723399 29660496 29886912 30226536 30243708 30670112 31036258 31628553 33204832 33477312 33857736 34116192 34242483 34503876 36528448 36935712 36943544 36964532 37355436 37669962 39547328 40302048 40324944 40632768 40783182 41094504 41561487 42171404 43990848 44490744 45143648 45656644 46005168 46554387 49807248 50187456 50215968 50226616 50786604 50797373 53766592 54377576 54792672 54995503 55415316 55446798 56504943 59320992 60453072 60487416 61174773 61340224 62072516 63257106 66409664 67715472 68232384 68484966 69007752 73871424 73887088 73929064 74710872 74769167 75339924 80604096 80649888 81566364 82189008 83122974 83170197 84342808 88981488 90287296 91313288 92010336 93108774 94885659 99614496 100431936 100453232 101573208 101594746 102727449 108755152 109585344 109991006 110830632 110893596 113009886 118641984 120906144 120974832 122349546 124145032 125555771 126514212 135430944 136969932 138015504 139663161 147774176 147858128 149421744 149538334 150679848 152392119 161299776 163132728 164378016 164986509 166245948 166340394 168685616 177962976 182626576 184020672 186217548 189771318 199228992 200906464 203146416 203189492 205454898 217510304 219982012 221661264 221787192 224307501 226019772 241812288 241949664 244699092 248290064 251111542 253028424 270861888 273939864 276031008 279326322 295548352 295716256 298843488 299076668 301359696 304784238 326265456 328756032 329973018 332491896 332680788 337371232 355925952 365253152 372435096 376667313 379542636 401812928 406292832 406378984 410909796 435020608 439964024 443322528 443574384 448615002 452039544 457176357 483899328 489398184 494959527 496580128 502223084 506056848 547879728 552062016 558652644 558771103 591432512 597686976 598153336 602719392 604950533 609568476 652530912 659946036 664983792 665361576 672922503 674742464 730506304 744870192 753334626 759085272 812585664 812757968 821819592 822460837 879928048 886645056 887148768 897230004 904079088 914352714 978796368 989919054 993160256 1004446168 1012113696 1095759456 1117305288 1117542206 1130001939 1196306672 1205438784 1209901066 1219136952 1305061824 1319892072 1329967584 1330723152 1345845006 1381113481 1489740384 1506669252 1518170544 1625515936 1643639184 1644921674 1676313309 1759856096 1774297536 1794460008 1808158176 1814851599 1828705428 1957592736 1979838108 2008892336 2024227392 2191518912 2234610576 2235084412 2260003878 2392613344 2419802132 2438273904 2467382511 2639784144 2659935168 2661446304 2691690012 2762226962 2979480768 3013338504 3036341088 3251031872 3287278368 3289843348 3352626618 3519712192 3588920016 3616316352 3629703198 3657410856 3915185472 3959676216 4017784672 4143340443 4469221152 4470168824 4520007756 4785226688 4839604264 4876547808 4934765022 5028939927 5279568288 5322892608 5383380024 5444554797 5524453924 6026677008 6072682176 6574556736 6579686696 6654455863 6705253236 7177840032 7259406396 7314821712 7402147533 7919352432 8035569344 8286680886 8938442304 8940337648 9040015512 9679208528 9753095616 9869530044 10057879854 10559136576 10766760048 10889109594 11048907848 12053354016 12430021329 13159373392 13308911726 13410506472 14355680064 14518812792 14629643424 14804295066 15838704864 16573361772 17880675296 18080031024 19358417056 19739060088 19963367589 20115759708 21533520096 21778219188 22097815696 24106708032 24860042658 26318746784 26617823452 26821012944 29037625584 29259286848 29608590132 31677409728 33146723544 35761350592 36160062048 38716834112 39478120176 39926735178 40231519416 43067040192 43556438376 44195631392 49720085316 52637493568 53235646904 53642025888 58075251168 59217180264 59890102767 66293447088 72320124096 73199014493 78956240352 79853470356 80463038832 87112876752 88391262784 99440170632 106471293808 107284051776 116150502336 118434360528 119780205534 132586894176 146398028986 157912480704 159706940712 160926077664 174225753504 198880341264 212942587616 219597043479 236868721056 239560411068 265173788352 292796057972 319413881424 321852155328 348451507008 397760682528 425885175232 439194086958 473737442112 479120822136 585592115944 638827762848 658791130437 795521365056 878388173916 958241644272 1171184231888 1277655525696 1317582260874 1756776347832 1916483288544 2342368463776 2635164521748 3513552695664 3832966577088 4684736927552 5270329043496 7027105391328 10540658086992 14054210782656 21081316173984 42162632347968
- Sum of all divisors σ(n): 138020174690112
- Sum of proper divisors (its aliquot sum) s(n): 95857542342144
- 42162632347968 is an abundant number, because the sum of its proper divisors (95857542342144) is greater than itself. Its abundance is 53694909994176
Bases of 42162632347968
- Binary: 10011001011000110000001011100101010001010000002
- Hexadecimal: 0x2658C0B95140
- Base-36: EY18UOY80
Squares and roots of 42162632347968
- 42162632347968 squared (421626323479682) is 1777687566509917584633729024
- 42162632347968 cubed (421626323479683) is 74951987296311566614563773716460589023232
-
The
square root of 42162632347968 is 6493275.9334536215 -
The
cube root of 42162632347968 is 34805.0748830411
Scales and comparisons
How big is 42162632347968?- 42,162,632,347,968 seconds is equal to 1,340,641 years, 15 weeks, 22 hours, 52 minutes, 48 seconds.
-
To count from 1 to 42,162,632,347,968 would take you about three million, three hundred fifty-one thousand, six hundred three 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 42162632347968 cubic inches would be around 2900.4 feet tall.
Recreational maths with 42162632347968
- 42162632347968 backwards is 86974323626124
- The number of decimal digits it has is: 14
- The sum of 42162632347968's digits is 63
- More coming soon!
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The information we have on file for 42162632347968 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 42162632347968, math, Factors of 42162632347968, curriculum, school, college, exams, university, Prime factorization of 42162632347968, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred sixty-two billion, six hundred thirty-two million, three hundred forty-seven thousand, nine hundred sixty-eight.