42424889623680960
42,424,889,623,680,960 is an even composite number composed of five prime numbers multiplied together.
What does the number 42424889623680960 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1764 divisors.
42424889623680960 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 42424889623680960:
26 × 313 × 5 × 112 × 8292
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 829 × 829)See below for interesting mathematical facts about the number 42424889623680960 from the Numbermatics database.
Names of 42424889623680960
- Cardinal: 42424889623680960 can be written as Forty-two quadrillion, four hundred twenty-four trillion, eight hundred eighty-nine billion, six hundred twenty-three million, six hundred eighty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.242488962368096 × 1016
Factors of 42424889623680960
Divisors of 42424889623680960
- Number of divisors d(n): 1764
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 81 88 90 96 99 108 110 120 121 132 135 144 160 162 165 176 180 192 198 216 220 240 242 243 264 270 288 297 320 324 330 352 360 363 396 405 432 440 480 484 486 495 528 540 576 594 605 648 660 704 720 726 729 792 810 829 864 880 891 960 968 972 990 1056 1080 1089 1188 1210 1215 1296 1320 1440 1452 1458 1485 1584 1620 1658 1728 1760 1782 1815 1936 1944 1980 2112 2160 2178 2187 2376 2420 2430 2487 2592 2640 2673 2880 2904 2916 2970 3168 3240 3267 3316 3520 3564 3630 3645 3872 3888 3960 4145 4320 4356 4374 4455 4752 4840 4860 4974 5184 5280 5346 5445 5808 5832 5940 6336 6480 6534 6561 6632 7128 7260 7290 7461 7744 7776 7920 8019 8290 8640 8712 8748 8910 9119 9504 9680 9720 9801 9948 10560 10692 10890 10935 11616 11664 11880 12435 12960 13068 13122 13264 13365 14256 14520 14580 14922 15552 15840 16038 16335 16580 17424 17496 17820 18238 19008 19360 19440 19602 19683 19896 21384 21780 21870 22383 23232 23328 23760 24057 24870 25920 26136 26244 26528 26730 27357 28512 29040 29160 29403 29844 31680 32076 32670 32805 33160 34848 34992 35640 36476 37305 38720 38880 39204 39366 39792 40095 42768 43560 43740 44766 45595 46656 47520 48114 49005 49740 52272 52488 53056 53460 54714 57024 58080 58320 58806 59049 59688 64152 65340 65610 66320 67149 69696 69984 71280 72171 72952 74610 77760 78408 78732 79584 80190 82071 85536 87120 87480 88209 89532 91190 95040 96228 98010 98415 99480 100309 104544 104976 106920 109428 111915 116160 116640 117612 118098 119376 120285 128304 130680 131220 132640 134298 136785 139968 142560 144342 145904 147015 149220 156816 157464 159168 160380 164142 171072 174240 174960 176418 177147 179064 182380 192456 196020 196830 198960 200618 201447 209088 209952 213840 216513 218856 223830 233280 235224 236196 238752 240570 246213 256608 261360 262440 264627 265280 268596 273570 285120 288684 291808 294030 295245 298440 300927 313632 314928 320760 328284 335745 348480 349920 352836 354294 358128 360855 364760 384912 392040 393660 397920 401236 402894 410355 419904 427680 433026 437712 441045 447660 470448 472392 477504 481140 492426 501545 513216 522720 524880 529254 531441 537192 547140 577368 583616 588060 590490 596880 601854 604341 627264 629856 641520 649539 656568 671490 687241 699840 705672 708588 716256 721710 729520 738639 769824 784080 787320 793881 795840 802472 805788 820710 855360 866052 875424 882090 885735 895320 902781 940896 944784 962280 984852 1003090 1007235 1045440 1049760 1058508 1062882 1074384 1082565 1094280 1154736 1176120 1180980 1193760 1203708 1208682 1231065 1259712 1283040 1299078 1313136 1323135 1342980 1374482 1411344 1417176 1432512 1443420 1459040 1477278 1504635 1539648 1568160 1574640 1587762 1594323 1604944 1611576 1641420 1732104 1750848 1764180 1771470 1790640 1805562 1813023 1881792 1889568 1924560 1948617 1969704 2006180 2014470 2061723 2099520 2117016 2125764 2148768 2165130 2188560 2215917 2309472 2352240 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132263653896 134712980820 135269646030 140980668480 142155507384 143693846208 144287622432 145386314370 146959615440 148796610633 155078735328 157950563760 159924945807 160319580480 161655576984 162323575236 165329567370 172309705920 176351538528 177694384230 179617307760 180359528040 181862524107 189540676512 193848419160 195946153920 198395480844 202069471230 202904469045 210600751680 211471002720 213233261076 215540769312 216431433648 220439423160 232618102992 236925845640 239489743680 240479370720 242483365476 243485362854 247994351055 258464558880 264527307792 266541576345 269425961640 270539292060 284311014768 288575244864 290772628740 293919230880 297593221266 303104206845 310157470656 315901127520 319849891614 323311153968 324647150472 330659134740 352703077056 355388768460 359234615520 360719056080 363725048214 365228044281 379081353024 387696838320 396790961688 404138942460 405808938090 422942005440 426466522152 431081538624 432862867296 440878846320 446389831899 465236205984 473851691280 480958741440 484966730952 486970725708 495988702110 516929117760 529054615584 533083152690 538851923280 541078584120 545587572321 568622029536 581545257480 587838461760 595186442532 606208413690 608713407135 631802255040 639699783228 646622307936 649294300944 661318269480 710777536920 718469231040 721438112160 727450096428 730456088562 743983053165 775393676640 793581923376 799624729035 808277884920 811617876180 852933044304 865725734592 881757692640 892779663798 909312620535 930472411968 947703382560 969933461904 973941451416 991977404220 1058109231168 1066166305380 1077703846560 1082157168240 1091175144642 1095684132843 1137244059072 1163090514960 1190372885064 1212416827380 1217426814270 1279399566456 1293244615872 1298588601888 1322636538960 1339169495697 1421555073840 1442876224320 1454900192856 1460912177124 1487966106330 1550787353280 1587163846752 1599249458070 1616555769840 1623235752360 1636762716963 1705866088608 1763515385280 1785559327596 1818625241070 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8927796637980 9522983080512 9699334619040 9739414514160 9820576301778 10235196531648 10713355965576 10911751446420 10956841328430 11639201542848 11687297416992 11903728850640 12052525461273 12793995664560 12985886018880 13094101735704 13391694956970 14284474620768 14549001928560 14609121771240 14730864452667 15871638467520 16070033948364 16367627169630 17058660886080 17458802314272 17530946125488 17855593275960 19398669238080 19478829028320 19641152603556 20087542435455 21426711931152 21823502892840 21913682656860 23374594833984 23807457701280 24105050922546 24551440754445 25587991329120 26188203471408 26783389913940 28568949241536 29098003857120 29218243542480 29461728905334 32140067896728 32735254339260 34917604628544 35061892250976 35711186551920 38957658056640 39282305207112 40175084870910 42853423862304 43647005785680 43827365313720 44192593358001 47614915402560 48210101845092 49102881508890 51175982658240 52376406942816 53566779827880 58196007714240 58436487084960 58923457810668 60262627306365 64280135793456 65470508678520 70123784501952 71422373103840 73654322263335 78564610414224 80350169741820 85706847724608 87294011571360 87654730627440 88385186716002 96420203690184 98205763017780 104752813885632 107133559655760 116872974169920 117846915621336 120525254612730 128560271586912 130941017357040 132577780074003 142844746207680 147308644526670 157129220828448 160700339483640 174588023142720 175309461254880 176770373432004 192840407380368 196411526035560 214267119311520 220962966790005 235693831242672 241050509225460 257120543173824 261882034714080 265155560148006 294617289053340 314258441656896 321400678967280 350618922509760 353540746864008 385680814760736 392823052071120 428534238623040 441925933580010 471387662485344 482101018450920 523764069428160 530311120296012 589234578106680 642801357934560 662888900370015 707081493728016 771361629521472 785646104142240 883851867160020 942775324970688 964202036901840 1060622240592024 1178469156213360 1285602715869120 1325777800740030 1414162987456032 1571292208284480 1767703734320040 1928404073803680 2121244481184048 2356938312426720 2651555601480060 2828325974912064 3535407468640080 3856808147607360 4242488962368096 4713876624853440 5303111202960120 7070814937280160 8484977924736192 10606222405920240 14141629874560320 21212444811840480 42424889623680960
- Sum of all divisors σ(n): 166765936256191944
- Sum of proper divisors (its aliquot sum) s(n): 124341046632510984
- 42424889623680960 is an abundant number, because the sum of its proper divisors (124341046632510984) is greater than itself. Its abundance is 81916157008830024
Bases of 42424889623680960
- Binary: 100101101011100100110110010110111010011110010111110000002
- Hexadecimal: 0x96B9365BA797C0
- Base-36: BLQD98FR000
Squares and roots of 42424889623680960
- 42424889623680960 squared (424248896236809602) is 1799871259581512387804819866521600
- 42424889623680960 cubed (424248896236809603) is 76359339524581284556951280780176043081663348736000
-
The
square root of 42424889623680960 is 205973031.3018696145 -
The
cube root of 42424889623680960 is 348770.8986553771
Scales and comparisons
How big is 42424889623680960?- 42,424,889,623,680,960 seconds is equal to 1,348,980,261 years, 12 weeks, 21 hours, 36 minutes.
-
To count from 1 to 42,424,889,623,680,960 would take you about four billion, forty-six million, nine hundred forty thousand, seven hundred eighty-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 42424889623680960 cubic inches would be around 29064.2 feet tall.
Recreational maths with 42424889623680960
- 42424889623680960 backwards is 06908632698842424
- 42424889623680960 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42424889623680960's digits is 81
- More coming soon!
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"Number 42424889623680960 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 42424889623680960 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/42424889623680960/
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The information we have on file for 42424889623680960 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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