42112420134400
42,112,420,134,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 42112420134400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
42112420134400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 42112420134400:
29 × 52 × 72 × 11 × 41 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 41 × 53 × 53 × 53)See below for interesting mathematical facts about the number 42112420134400 from the Numbermatics database.
Names of 42112420134400
- Cardinal: 42112420134400 can be written as Forty-two trillion, one hundred twelve billion, four hundred twenty million, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 4.21124201344 × 1013
Factors of 42112420134400
Divisors of 42112420134400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 41 44 49 50 53 55 56 64 70 77 80 82 88 98 100 106 110 112 128 140 154 160 164 175 176 196 200 205 212 220 224 245 256 265 275 280 287 308 320 328 350 352 371 385 392 400 410 424 440 448 451 490 512 530 539 550 560 574 583 616 640 656 700 704 742 770 784 800 820 848 880 896 902 980 1025 1060 1078 1100 1120 1148 1166 1225 1232 1280 1312 1325 1400 1408 1435 1484 1540 1568 1600 1640 1696 1760 1792 1804 1855 1925 1960 2009 2050 2120 2156 2173 2200 2240 2255 2296 2332 2450 2464 2560 2597 2624 2650 2695 2800 2809 2816 2870 2915 2968 3080 3136 3157 3200 3280 3392 3520 3584 3608 3710 3850 3920 4018 4081 4100 4240 4312 4346 4400 4480 4510 4592 4664 4900 4928 5194 5248 5300 5390 5600 5618 5632 5740 5830 5936 6160 6272 6314 6400 6560 6784 7040 7175 7216 7420 7700 7840 8036 8162 8200 8480 8624 8692 8800 8960 9020 9184 9275 9328 9800 9856 10045 10388 10496 10600 10780 10865 11200 11236 11275 11480 11660 11872 12320 12544 12628 12800 12985 13120 13475 13568 14045 14080 14350 14432 14575 14840 15211 15400 15680 15785 16072 16324 16400 16960 17248 17384 17600 17920 18040 18368 18550 18656 19600 19663 19712 20090 20405 20776 20992 21200 21560 21730 22099 22400 22472 22550 22960 23320 23744 23903 24640 25088 25256 25970 26240 26950 27136 28090 28160 28567 28700 28864 29150 29680 30422 30800 30899 31360 31570 32144 32648 32800 33920 34496 34768 35200 36080 36736 37100 37312 39200 39326 39424 40180 40810 41552 42400 43120 43460 44198 44800 44944 45100 45920 46640 47488 47806 49280 50225 50512 51940 52480 53900 54325 56180 57134 57400 57728 58300 59360 60844 61600 61798 62720 63140 64288 64925 65296 65600 67840 68992 69536 70225 70400 72160 73472 74200 74624 76055 78400 78652 78925 80360 81620 83104 84800 86240 86920 88396 89600 89888 90200 91840 93280 94976 95612 98315 98560 100450 101024 102025 103880 104960 106477 107800 108650 110495 112360 114268 114800 115169 115456 116600 118720 119515 121688 123200 123596 125440 126280 128576 129850 130592 131200 135680 137641 137984 139072 140450 140800 142835 144320 146944 148400 148877 149248 152110 154495 156800 157304 157850 160720 163240 166208 167321 169600 172480 173840 176792 179776 180400 183680 186560 189952 191224 196630 197120 200900 202048 204050 207760 212954 215600 216293 217300 220990 224720 228536 229600 230338 230912 233200 237440 239030 243376 246400 247192 252560 257152 259700 261184 262400 275282 275968 278144 280900 285670 288640 296800 297754 298496 304220 308990 313600 314608 315700 321440 326480 332416 334642 339200 344960 347680 353584 359552 360800 367360 373120 380275 382448 393260 401800 404096 408100 415520 425908 431200 432586 434600 441980 449440 457072 459200 460676 466400 474880 478060 486752 491575 492800 494384 505120 514304 519400 522368 524800 532385 550564 552475 556288 561800 571340 575845 577280 593600 595508 597575 608440 617980 627200 629216 631400 642880 652960 664832 669284 678400 688205 689920 695360 707168 714175 719104 721600 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152979200 160489406 161236600 162157952 163764700 166742240 170363200 170910796 173034400 176180480 177360260 180584992 182374325 182828800 183416464 184270400 187399520 190562560 193798528 194700800 195326624 197753600 202697440 206382848 208427800 209618816 213638495 214170880 220225600 221700325 225731240 229270580 233439136 234249400 238203200 242248160 244158280 248304364 251686400 253371800 257978560 262023520 266787584 267713600 268574108 272581120 276855040 282164050 282867200 283776416 286588225 291798920 294832640 299093893 299839232 302810200 305197850 305958400 310380455 320978812 322473200 324315904 327529400 333484480 335717635 340726400 341821592 346068800 352360960 354720520 361169984 364748650 365657600 366832928 368540800 374799040 381125120 387597056 390653248 395507200 401223515 405394880 412765696 416855600 419237632 427276990 428341760 440451200 443400650 451462480 458541160 466878272 468498800 470004689 476406400 484496320 488316560 496608728 506743600 515957120 524047040 533575168 535427200 537148216 553710080 564328100 567552832 573176450 583597840 598187786 599678464 605620400 610395700 620760910 641957624 644946400 648631808 655058800 666968960 671435270 681452800 683643184 692137600 709441040 722339968 729497300 733665856 737081600 749598080 775194112 781306496 802447030 810789760 833711200 838475264 854553980 880902400 886801300 902924960 917082320 933756544 936997600 940009378 952812800 968992640 976633120 993217456 1013487200 1031914240 1048094080 1068192475 1070854400 1074296432 1128656200 1135105664 1146352900 1167195680 1196375572 1211240800 1220791400 1241521820 1283915248 1289892800 1310117600 1333937920 1342870540 1362905600 1367286368 1384275200 1418882080 1444679936 1458994600 1467331712 1474163200 1495469465 1499196160 1551902275 1562612992 1604894060 1621579520 1667422400 1678588175 1709107960 1761804800 1773602600 1805849920 1834164640 1867513088 1873995200 1880018756 1905625600 1937985280 1953266240 1986434912 2006117575 2026974400 2063828480 2096188160 2136384950 2141708800 2148592864 2257312400 2270211328 2292705800 2334391360 2350023445 2392751144 2422481600 2441582800 2483043640 2567830496 2579785600 2620235200 2667875840 2685741080 2734572736 2768550400 2837764160 2889359872 2917989200 2934663424 2990938930 2998392320 3103804550 3125225984 3209788120 3243159040 3290032823 3334844800 3357176350 3418215920 3547205200 3611699840 3668329280 3735026176 3747990400 3760037512 3875970560 3906532480 3972869824 4012235150 4053948800 4192376320 4272769900 4297185728 4514624800 4540422656 4585411600 4668782720 4700046890 4785502288 4844963200 4883165600 4966087280 5135660992 5159571200 5240470400 5371482160 5469145472 5675528320 5835978400 5869326848 5981877860 6207609100 6419576240 6580065646 6669689600 6714352700 6836431840 7094410400 7223399680 7336658560 7477347325 7495980800 7520075024 7813064960 7945739648 8024470300 8107897600 8545539800 8594371456 9029249600 9170823200 9337565440 9400093780 9571004576 9689926400 9766331200 9932174560 10271321984 10319142400 10480940800 10742964320 10938290944 11351056640 11671956800 11750117225 11963755720 12415218200 12839152480 13160131292 13339379200 13428705400 13672863680 14188820800 14446799360 14673317120 14954694650 14991961600 15040150048 15626129920 15891479296 16048940600 16215795200 16450164115 17091079600 17188742912 18058499200 18341646400 18675130880 18800187560 19142009152 19379852800 19532662400 19864349120 20542643968 20961881600 21485928640 21876581888 22702113280 23343913600 23500234450 23927511440 24830436400 25678304960 26320262584 26857410800 27345727360 28377641600 29346634240 29909389300 30080300096 31782958592 32097881200 32900328230 34182159200 34377485824 36116998400 36683292800 37600375120 38284018304 39065324800 39728698240 41085287936 42971857280 46687827200 47000468900 47855022880 49660872800 51356609920 52640525168 53714821600 54691454720 56755283200 59818778600 60160600192 64195762400 65800656460 68364318400 72233996800 73366585600 75200750240 76568036608 78130649600 79457396480 82250820575 85943714560 93375654400 94000937800 95710045760 99321745600 102713219840 105281050336 107429643200 109382909440 113510566400 119637557200 120321200384 128391524800 131601312920 136728636800 146733171200 150401500480 153136073216 158914792960 164501641150 171887429120 188001875600 191420091520 198643491200 205426439680 210562100672 214859286400 239275114400 240642400768 256783049600 263202625840 273457273600 300803000960 329003282300 376003751200 382840183040 397286982400 421124201344 429718572800 478550228800 513566099200 526405251680 546914547200 601606001920 658006564600 752007502400 765680366080 794573964800 842248402688 859437145600 957100457600 1027132198400 1052810503360 1203212003840 1316013129200 1504015004800 1684496805376 1914200915200 2105621006720 2632026258400 3008030009600 3828401830400 4211242013440 5264052516800 6016060019200 8422484026880 10528105033600 21056210067200 42112420134400
- Sum of all divisors σ(n): 138242888451360
- Sum of proper divisors (its aliquot sum) s(n): 96130468316960
- 42112420134400 is an abundant number, because the sum of its proper divisors (96130468316960) is greater than itself. Its abundance is 54018048182560
Bases of 42112420134400
- Binary: 10011001001101000011111101011110111110000000002
- Hexadecimal: 0x264D0FD7BE00
- Base-36: EXE6FMY9S
Squares and roots of 42112420134400
- 42112420134400 squared (421124201344002) is 1773455929576218514063360000
- 42112420134400 cubed (421124201344003) is 74684521196156613011055891221315584000000
-
The
square root of 42112420134400 is 6489408.3038748609 -
The
cube root of 42112420134400 is 34791.2527378521
Scales and comparisons
How big is 42112420134400?- 42,112,420,134,400 seconds is equal to 1,339,044 years, 36 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 42,112,420,134,400 would take you about three million, three hundred forty-seven thousand, six hundred eleven 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 42112420134400 cubic inches would be around 2899.3 feet tall.
Recreational maths with 42112420134400
- 42112420134400 backwards is 00443102421124
- 42112420134400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42112420134400's digits is 28
- More coming soon!
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"Number 42112420134400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 42112420134400 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/42112420134400/
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The information we have on file for 42112420134400 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 42112420134400, math, Factors of 42112420134400, curriculum, school, college, exams, university, Prime factorization of 42112420134400, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred twelve billion, four hundred twenty million, one hundred thirty-four thousand, four hundred.