42109762400640
42,109,762,400,640 is an even composite number composed of seven prime numbers multiplied together.
42109762400640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 42109762400640:
27 × 32 × 5 × 11 × 53 × 89 × 140897
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 53 × 89 × 140897)See below for interesting mathematical facts about the number 42109762400640 from the Numbermatics database.
Names of 42109762400640
- Cardinal: 42109762400640 can be written as Forty-two trillion, one hundred nine billion, seven hundred sixty-two million, four hundred thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.210976240064 × 1013
Factors of 42109762400640
Divisors of 42109762400640
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 53 55 60 64 66 72 80 88 89 90 96 99 106 110 120 128 132 144 159 160 165 176 178 180 192 198 212 220 240 264 265 267 288 318 320 330 352 356 360 384 396 424 440 445 477 480 495 528 530 534 576 583 636 640 660 704 712 720 792 795 801 848 880 890 954 960 979 990 1056 1060 1068 1152 1166 1272 1320 1335 1408 1424 1440 1584 1590 1602 1696 1749 1760 1780 1908 1920 1958 1980 2112 2120 2136 2332 2385 2544 2640 2670 2848 2880 2915 2937 3168 3180 3204 3392 3498 3520 3560 3816 3916 3960 4005 4224 4240 4272 4664 4717 4770 4895 5088 5247 5280 5340 5696 5760 5830 5874 6336 6360 6408 6784 6996 7040 7120 7632 7832 7920 8010 8480 8544 8745 8811 9328 9434 9540 9790 10176 10494 10560 10680 11392 11660 11748 12672 12720 12816 13992 14151 14240 14685 15264 15664 15840 16020 16960 17088 17490 17622 18656 18868 19080 19580 20352 20988 21120 21360 23320 23496 23585 25440 25632 26235 27984 28302 28480 29370 30528 31328 31680 32040 33920 34176 34980 35244 37312 37736 38160 39160 41976 42453 42720 44055 46640 46992 47170 50880 51264 51887 52470 55968 56604 56960 58740 61056 62656 63360 64080 69960 70488 70755 74624 75472 76320 78320 83952 84906 85440 88110 93280 93984 94340 101760 102528 103774 104940 111936 113208 117480 125312 128160 139920 140897 140976 141510 150944 152640 155661 156640 167904 169812 170880 176220 186560 187968 188680 207548 209880 212265 223872 226416 234960 256320 259435 279840 281794 281952 283020 301888 305280 311322 313280 335808 339624 352440 373120 375936 377360 415096 419760 422691 424530 452832 466983 469920 512640 518870 559680 563588 563904 566040 603776 622644 626560 671616 679248 704485 704880 754720 778305 830192 839520 845382 849060 905664 933966 939840 1037740 1119360 1127176 1127808 1132080 1245288 1268073 1358496 1408970 1409760 1509440 1549867 1556610 1660384 1679040 1690764 1698120 1811328 1867932 1879680 2075480 2113455 2254352 2264160 2334915 2490576 2536146 2716992 2817940 2819520 3018880 3099734 3113220 3320768 3358080 3381528 3396240 3735864 4150960 4226910 4508704 4528320 4649601 4669830 4981152 5072292 5433984 5635880 5639040 6199468 6226440 6340365 6641536 6763056 6792480 7467541 7471728 7749335 8301920 8453820 9017408 9056640 9299202 9339660 9962304 10144584 11271760 12398936 12452880 12539833 12680730 13526112 13584960 13948803 14935082 14943456 15498670 16603840 16907640 18034816 18598404 18679320 19924608 20289168 22402623 22543520 23248005 24797872 24905760 25079666 25361460 27052224 27169920 27897606 29870164 29886912 30997340 33207680 33815280 37196808 37337705 37358640 37619499 40578336 44805246 45087040 46496010 49595744 49811520 50159332 50722920 54104448 55795212 59740328 59773824 61994680 62699165 67207869 67630560 69744015 74393616 74675410 74717280 75238998 81156672 82142951 89610492 90174080 92992020 99191488 99623040 100318664 101445840 111590424 112013115 112858497 119480656 123989360 125398330 134415738 135261120 137938163 139488030 148787232 149350820 149434560 150477996 162313344 164285902 179220984 185984040 188097495 198382976 200637328 202891680 223180848 224026230 225716994 238961312 246428853 247978720 250796660 268831476 270522240 275876326 278976060 297574464 298701640 298869120 300955992 328571804 336039345 358441968 371968080 376194990 401274656 405783360 410714755 413814489 446361696 448052460 451433988 477922624 492857706 495957440 501593320 537662952 551752652 557952120 564292485 595148928 597403280 601911984 657143608 664611149 672078690 689690815 716883936 739286559 743936160 752389980 802549312 811566720 821429510 827628978 892723392 896104920 902867976 955845248 985715412 991914880 1003186640 1075325904 1103505304 1115904240 1128584970 1194806560 1203823968 1232144265 1241443467 1314287216 1329222298 1344157380 1379381630 1433767872 1478573118 1487872320 1504779960 1605098624 1642859020 1655257956 1785446784 1792209840 1805735952 1971430824 1993833447 2006373280 2069072445 2150651808 2207010608 2231808480 2257169940 2389613120 2407647936 2464288530 2482886934 2628574432 2658444596 2688314760 2758763260 2867535744 2957146236 2975744640 3009559920 3285718040 3310515912 3323055745 3584419680 3611471904 3696432795 3942861648 3987666894 4012746560 4138144890 4301303616 4414021216 4463616960 4514339880 4779226240 4815295872 4928577060 4965773868 5257148864 5316889192 5376629520 5517526520 5914292472 5981500341 6019119840 6207217335 6571436080 6621031824 6646111490 7168839360 7222943808 7310722639 7392865590 7885723296 7975333788 8025493120 8276289780 8602607232 8828042432 8927233920 9028679760 9857154120 9931547736 9969167235 10514297728 10633778384 10753259040 11035053040 11828584944 11963000682 12038239680 12414434670 13142872160 13242063648 13292222980 14337678720 14445887616 14621445278 14785731180 15771446592 15950667576 16552579560 17656084864 18057359520 19714308240 19863095472 19938334470 21267556768 21506518080 21932167917 22070106080 23657169888 23926001364 24076479360 24828869340 26285744320 26484127296 26584445960 29242890556 29571462360 29907501705 31542893184 31901335152 33105159120 36114719040 36553613195 39428616480 39726190944 39876668940 42535113536 43013036160 43864335834 44140212160 47314339776 47852002728 49657738680 52571488640 52968254592 53168891920 58485781112 59142924720 59815003410 63802670304 65796503751 66210318240 72229438080 73107226390 78857232960 79452381888 79753337880 85070227072 87728671668 88280424320 94628679552 95704005456 99315477360 106337783840 109660839585 116971562224 118285849440 119630006820 127605340608 131593007502 132420636480 146214452780 157714465920 158904763776 159506675760 175457343336 191408010912 198630954720 212675567680 219321679170 233943124448 236571698880 239260013640 255210681216 263186015004 264841272960 292428905560 319013351520 328982518755 350914686672 382816021824 397261909440 425351135360 438643358340 467886248896 473143397760 478520027280 526372030008 584857811120 638026703040 657965037510 701829373344 765632043648 794523818880 877286716680 935772497792 957040054560 1052744060016 1169715622240 1276053406080 1315930075020 1403658746688 1754573433360 1914080109120 2105488120032 2339431244480 2631860150040 2807317493376 3509146866720 3828160218240 4210976240064 4678862488960 5263720300080 7018293733440 8421952480128 10527440600160 14036587466880 21054881200320 42109762400640
- Sum of all divisors σ(n): 163439538350400
- Sum of proper divisors (its aliquot sum) s(n): 121329775949760
- 42109762400640 is an abundant number, because the sum of its proper divisors (121329775949760) is greater than itself. Its abundance is 79220013549120
Bases of 42109762400640
- Binary: 10011001001100011100010110110111110001100000002
- Hexadecimal: 0x264C716DF180
- Base-36: EXCYHAHS0
Squares and roots of 42109762400640
- 42109762400640 squared (421097624006402) is 1773232089438354255872409600
- 42109762400640 cubed (421097624006403) is 74670381967439515699056519695237382144000
-
The
square root of 42109762400640 is 6489203.5259067041 -
The
cube root of 42109762400640 is 34790.5208252563
Scales and comparisons
How big is 42109762400640?- 42,109,762,400,640 seconds is equal to 1,338,960 years, 9 weeks, 6 days, 6 hours, 24 minutes.
-
To count from 1 to 42,109,762,400,640 would take you about three million, three hundred forty-seven thousand, four hundred 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 42109762400640 cubic inches would be around 2899.2 feet tall.
Recreational maths with 42109762400640
- 42109762400640 backwards is 04600426790124
- 42109762400640 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42109762400640's digits is 45
- More coming soon!
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The information we have on file for 42109762400640 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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