42138185823216
42,138,185,823,216 is an even composite number composed of five prime numbers multiplied together.
What does the number 42138185823216 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
42138185823216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 42138185823216:
24 × 35 × 75 × 233 × 53
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 23 × 23 × 23 × 53)See below for interesting mathematical facts about the number 42138185823216 from the Numbermatics database.
Names of 42138185823216
- Cardinal: 42138185823216 can be written as Forty-two trillion, one hundred thirty-eight billion, one hundred eighty-five million, eight hundred twenty-three thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.2138185823216 × 1013
Factors of 42138185823216
Divisors of 42138185823216
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 49 53 54 56 63 69 72 81 84 92 98 106 108 112 126 138 144 147 159 161 162 168 184 189 196 207 212 216 243 252 276 294 318 322 324 336 343 368 371 378 392 414 424 432 441 477 483 486 504 529 552 567 588 621 636 644 648 686 742 756 784 828 848 882 954 966 972 1008 1029 1058 1104 1113 1127 1134 1176 1219 1242 1272 1288 1296 1323 1372 1431 1449 1484 1512 1587 1656 1701 1764 1863 1908 1932 1944 2058 2116 2226 2254 2268 2352 2401 2438 2484 2544 2576 2597 2646 2744 2862 2898 2968 3024 3087 3174 3312 3339 3381 3402 3528 3657 3703 3726 3816 3864 3888 3969 4116 4232 4293 4347 4452 4508 4536 4761 4802 4876 4968 5194 5292 5488 5589 5724 5796 5936 6174 6348 6678 6762 6804 7056 7203 7314 7406 7452 7632 7728 7791 7889 7938 8232 8464 8533 8586 8694 8904 9016 9072 9261 9522 9604 9752 9936 10017 10143 10388 10584 10971 11109 11178 11448 11592 11907 12167 12348 12696 12879 13041 13356 13524 13608 14283 14406 14628 14812 14904 15582 15778 15876 16464 16807 17066 17172 17388 17808 18032 18179 18522 19044 19208 19504 20034 20286 20776 21168 21609 21942 22218 22356 22896 23184 23373 23667 23814 24334 24696 25392 25599 25758 25921 26082 26712 27048 27216 27783 28037 28566 28812 29256 29624 29808 30051 30429 31164 31556 31752 32913 33327 33614 34132 34344 34776 36358 36501 37044 38088 38416 39123 40068 40572 41552 42849 43218 43884 44436 44712 46746 47334 47628 48668 49392 50421 51198 51516 51842 52164 53424 54096 54537 55223 55566 56074 57132 57624 58512 59248 59731 60102 60858 62328 63112 63504 64827 65826 66654 67228 68264 68688 69552 70119 71001 72716 73002 74088 76176 76797 77763 78246 80136 81144 83349 84111 85169 85698 86436 87768 88872 89424 90153 91287 93492 94668 95256 97336 98739 99981 100842 102396 103032 103684 104328 109074 109503 110446 111132 112148 114264 115248 119462 120204 121716 124656 126224 127253 128547 129654 131652 133308 134456 136528 140238 142002 145432 146004 148176 151263 153594 155526 156492 160272 162288 163611 165669 166698 168222 170338 171396 172872 175536 177744 179193 180306 181447 182574 186984 189336 190512 194481 194672 196259 197478 199962 201684 204792 206064 207368 208656 210357 213003 218148 219006 220892 222264 224296 228528 230391 233289 238924 240408 243432 252333 254506 255507 257094 259308 263304 266616 268912 273861 280476 284004 290864 292008 296217 299943 302526 307188 311052 312984 327222 328509 331338 333396 336444 340676 342792 345744 358386 360612 362894 365148 373968 378672 381759 386561 388962 392518 394956 399924 403368 409584 414736 418117 420714 426006 436296 438012 441784 444528 448592 453789 460782 466578 477848 480816 486864 490833 497007 504666 509012 511014 514188 518616 526608 533232 537579 544341 547722 560952 568008 583443 584016 588777 592434 596183 599886 605052 614376 622104 625968 631071 639009 644851 654444 657018 662676 666792 672888 681352 685584 691173 699867 716772 721224 725788 730296 756999 763518 766521 773122 777924 785036 789912 799848 806736 836234 841428 852012 872592 876024 883568 890771 899829 907578 921564 933156 955696 981666 985527 994014 1009332 1018024 1022028 1028376 1037232 1075158 1088682 1095444 1121904 1136016 1145277 1159683 1166886 1177554 1184868 1192366 1199772 1210104 1228752 1244208 1254351 1262142 1270129 1278018 1289702 1308888 1314036 1325352 1333584 1345776 1361367 1362704 1373813 1382346 1399734 1433544 1442448 1451576 1460592 1472499 1491021 1513998 1527036 1533042 1546244 1555848 1570072 1579824 1599696 1612737 1633023 1672468 1682856 1704024 1752048 1766331 1781542 1788549 1799658 1815156 1843128 1866312 1917027 1934553 1963332 1971054 1988028 2018664 2036048 2044056 2056752 2073519 2099601 2150316 2177364 2190888 2270997 2290554 2299563 2319366 2333772 2355108 2369736 2384732 2399544 2420208 2508702 2524284 2540258 2556036 2579404 2617776 2628072 2650704 2672313 2722734 2747626 2764692 2799468 2867088 2903152 2926819 2944998 2956581 2982042 3027996 3054072 3066084 3092488 3111696 3140144 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122926398 123689916 125245764 126390796 127175832 128271024 128775528 134633674 135469908 137173932 139287816 140487312 142254448 144304902 144872469 148371804 150238116 153867056 156698793 158048226 160036254 162502452 163901864 164919888 165568536 166994352 173100438 175277802 176366484 180626544 182898576 184389597 187868646 189586194 190763748 192406536 193163292 197829072 200317488 201950511 203204862 204490769 205760898 208931724 210730968 213381672 214707024 216457353 216669936 221183893 222557706 225357174 230800584 232234128 233703736 235155312 237072339 240054381 243753678 245852796 247379832 250491528 252781592 254351664 257551056 259650657 262916703 269267348 270939816 274347864 278575632 284379291 288609804 289744938 296743608 300476232 308641347 313397586 316096452 320072508 325004904 327803728 331137072 333836559 338035761 346200876 350555604 352732968 365630517 368779194 375737292 379172388 381527496 384813072 386326584 403901022 406409724 408981538 411521796 417863448 421461936 426763344 432914706 442367786 445115412 450714348 461601168 467407472 471217859 474144678 480108762 487507356 491705592 494759664 500983056 505563184 519301314 525833406 538534696 541879632 548695728 553168791 568758582 577219608 579489876 593487216 600952464 605851533 613472307 617282694 626795172 632192904 640145016 650009808 663551679 667673118 676071522 692401752 701111208 705465936 711217017 720163143 731261034 737558388 751474584 758344776 763054992 772653168 778951971 788750109 807802044 812819448 817963076 823043592 835726896 853137873 865829412 884735572 890230824 901428696 942435718 948289356 960217524 975014712 983411184 1014107283 1038602628 1051666812 1077069392 1096891551 1106337582 1137517164 1154439216 1158979752 1211703066 1226944614 1234565388 1253590344 1264385808 1280290032 1327103358 1335346236 1352143044 1384803504 1402222416 1413653577 1422434034 1440326286 1462522068 1475116776 1502949168 1516689552 1548287251 1557903942 1577500218 1615604088 1625638896 1635926152 1646087184 1659506373 1706275746 1731658824 1769471144 1780461648 1802857392 1817554599 1840416921 1884871436 1896578712 1920435048 1950029424 1990655037 2028214566 2077205256 2103333624 2160489429 2193783102 2212675164 2275034328 2317959504 2336855913 2366250327 2423406132 2453889228 2469130776 2507180688 2559413619 2654206716 2670692472 2704286088 2827307154 2844868068 2880652572 2925044136 2950233552 3096574502 3115807884 3155000436 3231208176 3271852304 3319012746 3412551492 3463317648 3538942288 3635109198 3680833842 3769742872 3793157424 3840870096 3981310074 4056429132 4154410512 4206667248 4240960731 4320978858 4387566204 4425350328 4550068656 4644861753 4673711826 4732500654 4846812264 4907778456 4938261552 4978519119 5118827238 5308413432 5341384944 5408572176 5452663797 5521250763 5654614308 5689736136 5761305144 5850088272 5971965111 6193149004 6231615768 6310000872 6638025492 6825102984 7098750981 7270218396 7361667684 7539485744 7678240857 7962620148 8112858264 8481921462 8641957716 8775132408 8850700656 9289723506 9347423652 9465001308 9693624528 9815556912 9957038238 10237654476 10616826864 10838010757 10905327594 11042501526 11309228616 11379472272 11522610288 11943930222 12386298008 12463231536 12620001744 12722882193 13276050984 13650205968 13934585259 14197501962 14540436792 14723335368 15356481714 15925240296 16225716528 16357991391 16563752289 16963842924 17283915432 17550264816 17915895333 18579447012 18694847304 18930002616 19914076476 20475308952 21676021514 21810655188 22085003052 22618457232 23887860444 24772596016 25445764386 26552101968 27869170518 28395003924 29080873584 29446670736 30712963428 31850480592 32514032271 32715982782 33127504578 33927685848 34567830864 35831790666 37158894024 37389694608 37860005232 38168646579 39828152952 40950617904 41803755777 43352043028 43621310376 44170006104 47775720888 49691256867 50891528772 53747685999 55738341036 56790007848 61425926856 65028064542 65431965564 66255009156 67855371696 71663581332 74317788048 76337293158 79656305904 83607511554 86704086056 87242620752 88340012208 95551441776 97542096813 99382513734 101783057544 107495371998 111476682072 113580015696 114505939737 122851853712 125411267331 130056129084 130863931128 132510018312 143327162664 152674586316 167215023108 173408172112 195084193626 198765027468 203566115088 214990743996 222953364144 229011879474 250822534662 260112258168 261727862256 265020036624 286654325328 292626290439 305349172632 334430046216 376233801993 390168387252 397530054936 429981487992 458023758948 501645069324 520224516336 585252580878 610698345264 668860092432 752467603986 780336774504 795060109872 859962975984 877878871317 916047517896 1003290138648 1170505161756 1504935207972 1560673549008 1755757742634 1832095035792 2006580277296 2341010323512 2633636613951 3009870415944 3511515485268 4682020647024 5267273227902 6019740831888 7023030970536 10534546455804 14046061941072 21069092911608 42138185823216
- Sum of all divisors σ(n): 151976782863360
- Sum of proper divisors (its aliquot sum) s(n): 109838597040144
- 42138185823216 is an abundant number, because the sum of its proper divisors (109838597040144) is greater than itself. Its abundance is 67700411216928
Bases of 42138185823216
- Binary: 10011001010011000011111001100011110011111100002
- Hexadecimal: 0x26530F98F3F0
- Base-36: EXQ0JV300
Squares and roots of 42138185823216
- 42138185823216 squared (421381858232162) is 1775626704471881883604582656
- 42138185823216 cubed (421381858232163) is 74821688025700799258003087499749475741696
-
The
square root of 42138185823216 is 6491393.2112618169 -
The
cube root of 42138185823216 is 34798.3467482137
Scales and comparisons
How big is 42138185823216?- 42,138,185,823,216 seconds is equal to 1,339,863 years, 50 weeks, 2 days, 1 hour, 33 minutes, 36 seconds.
-
To count from 1 to 42,138,185,823,216 would take you about three million, three hundred forty-nine thousand, six hundred fifty-nine 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 42138185823216 cubic inches would be around 2899.9 feet tall.
Recreational maths with 42138185823216
- 42138185823216 backwards is 61232858183124
- 42138185823216 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42138185823216's digits is 54
- More coming soon!
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"Number 42138185823216 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
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Numbermatics. (2024). Number 42138185823216 - Facts about the integer. Retrieved 29 April 2024, from https://numbermatics.com/n/42138185823216/
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The information we have on file for 42138185823216 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 42138185823216, math, Factors of 42138185823216, curriculum, school, college, exams, university, Prime factorization of 42138185823216, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred thirty-eight billion, one hundred eighty-five million, eight hundred twenty-three thousand, two hundred sixteen.