42424017451881408
42,424,017,451,881,408 is an even composite number composed of five prime numbers multiplied together.
42424017451881408 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty-four divisors.
Prime factorization of 42424017451881408:
26 × 32 × 73 × 192 × 296
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 19 × 19 × 29 × 29 × 29 × 29 × 29 × 29)See below for interesting mathematical facts about the number 42424017451881408 from the Numbermatics database.
Names of 42424017451881408
- Cardinal: 42424017451881408 can be written as Forty-two quadrillion, four hundred twenty-four trillion, seventeen billion, four hundred fifty-one million, eight hundred eighty-one thousand, four hundred eight.
Scientific notation
- Scientific notation: 4.2424017451881408 × 1016
Factors of 42424017451881408
Divisors of 42424017451881408
- Number of divisors d(n): 1764
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 29 32 36 38 42 48 49 56 57 58 63 64 72 76 84 87 96 98 112 114 116 126 133 144 147 152 168 171 174 192 196 203 224 228 232 252 261 266 288 294 304 336 342 343 348 361 392 399 406 441 448 456 464 504 522 532 551 576 588 608 609 672 684 686 696 722 784 798 812 841 882 912 928 931 1008 1029 1044 1064 1083 1102 1176 1197 1216 1218 1344 1368 1372 1392 1421 1444 1568 1596 1624 1653 1682 1764 1824 1827 1856 1862 2016 2058 2088 2128 2166 2204 2352 2394 2436 2523 2527 2736 2744 2784 2793 2842 2888 3087 3136 3192 3248 3249 3306 3364 3528 3648 3654 3724 3857 4032 4116 4176 4256 4263 4332 4408 4704 4788 4872 4959 5046 5054 5472 5488 5568 5586 5684 5776 5887 6174 6384 6496 6498 6517 6612 6728 7056 7308 7448 7569 7581 7714 8232 8352 8379 8512 8526 8664 8816 9408 9576 9744 9918 9947 10092 10108 10469 10944 10976 11172 11368 11552 11571 11774 12348 12768 12789 12992 12996 13034 13224 13456 14112 14616 14896 15138 15162 15428 15979 16464 16704 16758 17052 17328 17632 17661 17689 19152 19488 19551 19836 19894 20184 20216 20938 21952 22344 22736 22743 23104 23142 23548 24389 24696 25536 25578 25992 26068 26448 26912 26999 28224 29232 29792 29841 30276 30324 30856 31407 31958 32928 33516 34104 34656 34713 35264 35322 35378 38304 38976 39102 39672 39788 40368 40432 41209 41876 44688 45472 45486 46284 47096 47937 48778 49392 51156 51984 52136 52896 52983 53067 53824 53998 58464 58653 59584 59682 60552 60648 61712 62814 63916 65856 67032 68208 69312 69426 70644 70756 73167 73283 76608 78204 79344 79576 80736 80864 80997 82418 83752 89376 89523 90944 90972 92568 94192 94221 95874 97556 98784 102312 103968 104272 105792 105966 106134 107996 111853 116928 117306 119364 121104 121296 123424 123627 123823 125628 127832 134064 136416 138852 141288 141512 143811 146334 146566 156408 158688 159152 159201 161472 161728 161994 164836 167504 170723 178752 179046 181944 185136 188384 188442 188993 191748 195112 197568 204624 207936 208544 211932 212268 215992 219501 219849 223706 234612 238728 242208 242592 242991 246848 247254 247646 251256 255664 268128 272832 277704 282576 283024 287622 288463 292668 293132 303601 312816 317376 318304 318402 323988 329672 335008 335559 341446 358092 363888 370272 370881 371469 376768 376884 377986 383496 390224 409248 417088 423864 424536 431984 439002 439698 447412 463391 469224 477456 484416 485184 485982 494508 495292 502512 511328 512169 512981 536256 555408 565152 566048 566979 575244 576926 585336 586264 607202 625632 636608 636804 647976 659344 659547 670016 671118 682892 707281 716184 727776 740544 741762 742938 753768 755972 766992 780448 782971 818496 847728 849072 863968 865389 878004 879396 894824 910803 926782 938448 954912 971964 989016 990584 1005024 1006677 1022656 1024338 1025962 1110816 1114407 1130304 1132096 1133958 1150488 1153852 1170672 1172528 1195061 1214404 1251264 1273608 1295952 1318688 1319094 1342236 1365784 1390173 1414562 1432368 1455552 1483524 1485876 1507536 1511944 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699512225496 700621242104 710834379744 712003515237 723305158336 725643429322 785659051296 788198897367 799442543424 800709990976 802026948198 813718303128 816097596412 829306776368 858924875524 869736714336 884995253184 900798739848 916602226512 932682967328 932970123414 949338020316 1013086671408 1029484274112 1049268338244 1050931863156 1066251569616 1069369264264 1084957737504 1088465143983 1107561023702 1199163815136 1201064986464 1203040422297 1222136302016 1224146394618 1243960164552 1265784027088 1288387313286 1327492879776 1350782228544 1374903339768 1399024450992 1401242484208 1421668759488 1424007030474 1451286858644 1503118532167 1571318102592 1576397794734 1604053896396 1627436606256 1632195192824 1658613552736 1661341535553 1717849751048 1739473428672 1801597479696 1833204453024 1836219591927 1865365934656 1865940246828 1898676040632 1932580969929 2026173342816 2098536676488 2101863726312 2132503139232 2138738528528 2169915475008 2176930287966 2215122047404 2398327630272 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9793171156944 9951681316416 9968049213318 10159008010508 10307098506288 10521829725169 10999226718144 11392056243792 11610294869152 11629390748871 12024948257336 12611182357872 12832431171168 13057561542592 13061581727796 13290732284424 13528066789503 13742798008384 14689756735416 14927521974624 15189408325056 15238512015762 15460647759432 15505854331828 16788293411904 16814909810496 17415442303728 17720976379232 18037422386004 19248646756752 19586342313888 19936098426636 20318016021016 20614197012576 21043659450338 22784112487584 22857768023643 23220589738304 23258781497742 24049896514672 25222364715744 25664862342336 26123163455592 26581464568848 27056133579006 29379513470832 29855043949248 30477024031524 30921295518864 31011708663656 31565489175507 34830884607456 34888172246613 35441952758464 36074844772008 38497293513504 39172684627776 39872196853272 40636032042032 41228394025152 42087318900676 45568224975168 45715536047286 46517562995484 48099793029344 50444729431488 52246326911184 53162929137696 54112267158012 58759026941664 60954048063048 61842591037728 62023417327312 63130978351014 69661769214912 69776344493226 72149689544016 73652808076183 76994587027008 79744393706544 81272064084064 84174637801352 91431072094572 93035125990968 94696467526521 96199586058688 104492653822368 106325858275392 108224534316024 117518053883328 121908096126096 123685182075456 124046834654624 126261956702028 139552688986452 144299379088032 147305616152366 159488787413088 162544128168128 168349275602704 182862144189144 186070251981936 189392935053042 208985307644736 216449068632048 220958424228549 243816192252192 248093669309248 252523913404056 279105377972904 288598758176064 294611232304732 318977574826176 336698551205408 365724288378288 372140503963872 378785870106084 432898137264096 441916848457098 487632384504384 505047826808112 558210755945808 589222464609464 662875272685647 673397102410816 731448576756576 744281007927744 757571740212168 865796274528192 883833696914196 1010095653616224 1116421511891616 1178444929218928 1325750545371294 1462897153513152 1515143480424336 1767667393828392 2020191307232448 2232843023783232 2356889858437856 2651501090742588 3030286960848672 3535334787656784 4713779716875712 5303002181485176 6060573921697344 7070669575313568 10606004362970352 14141339150627136 21212008725940704 42424017451881408
- Sum of all divisors σ(n): 155010099198536400
- Sum of proper divisors (its aliquot sum) s(n): 112586081746654992
- 42424017451881408 is an abundant number, because the sum of its proper divisors (112586081746654992) is greater than itself. Its abundance is 70162064294773584
Bases of 42424017451881408
- Binary: 100101101011100001101011010010100010101000010011110000002
- Hexadecimal: 0x96B86B4A2A13C0
- Base-36: BLQ24KB6GG0
Squares and roots of 42424017451881408
- 42424017451881408 squared (424240174518814082) is 1799797256757538274148678896062464
- 42424017451881408 cubed (424240174518814083) is 76354630230530087118768123950290226690479888269312
-
The
square root of 42424017451881408 is 205970914.0919693253 -
The
cube root of 42424017451881408 is 348768.5086257699 - Being both a perfect square and a perfect cube, 42424017451881408 is also a
perfect sixth number .
Scales and comparisons
How big is 42424017451881408?- 42,424,017,451,881,408 seconds is equal to 1,348,952,528 years, 45 weeks, 21 hours, 16 minutes, 48 seconds.
-
To count from 1 to 42,424,017,451,881,408 would take you about four billion, forty-six million, eight hundred fifty-seven thousand, five hundred eighty-six 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 42424017451881408 cubic inches would be around 29064 feet tall.
Recreational maths with 42424017451881408
- 42424017451881408 backwards is 80418815471042424
- 42424017451881408 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42424017451881408's digits is 63
- More coming soon!
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MLA style:
"Number 42424017451881408 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 42424017451881408 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/42424017451881408/
Chicago style:
Numbermatics. 2024. "Number 42424017451881408 - Facts about the integer". https://numbermatics.com/n/42424017451881408/
The information we have on file for 42424017451881408 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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