42768120165120
42,768,120,165,120 is an even composite number composed of seven prime numbers multiplied together.
42768120165120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 42768120165120:
28 × 34 × 5 × 72 × 23 × 31 × 11807
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 23 × 31 × 11807)See below for interesting mathematical facts about the number 42768120165120 from the Numbermatics database.
Names of 42768120165120
- Cardinal: 42768120165120 can be written as Forty-two trillion, seven hundred sixty-eight billion, one hundred twenty million, one hundred sixty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.276812016512 × 1013
Factors of 42768120165120
Divisors of 42768120165120
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 27 28 30 31 32 35 36 40 42 45 46 48 49 54 56 60 62 63 64 69 70 72 80 81 84 90 92 93 96 98 105 108 112 115 120 124 126 128 135 138 140 144 147 155 160 161 162 168 180 184 186 189 192 196 207 210 216 217 224 230 240 245 248 252 256 270 276 279 280 288 294 310 315 320 322 324 336 345 360 368 372 378 384 392 405 414 420 432 434 441 448 460 465 480 483 490 496 504 540 552 558 560 567 576 588 620 621 630 640 644 648 651 672 690 713 720 735 736 744 756 768 784 805 810 828 837 840 864 868 882 896 920 930 945 960 966 980 992 1008 1035 1080 1085 1104 1116 1120 1127 1134 1152 1176 1240 1242 1260 1280 1288 1296 1302 1323 1344 1380 1395 1426 1440 1449 1470 1472 1488 1512 1519 1568 1610 1620 1656 1674 1680 1728 1736 1764 1792 1840 1860 1863 1890 1920 1932 1953 1960 1984 2016 2070 2139 2160 2170 2205 2208 2232 2240 2254 2268 2304 2352 2415 2480 2484 2511 2520 2576 2592 2604 2646 2688 2760 2790 2835 2852 2880 2898 2940 2944 2976 3024 3038 3105 3136 3220 3240 3255 3312 3348 3360 3381 3456 3472 3528 3565 3680 3720 3726 3780 3840 3864 3906 3920 3968 3969 4032 4140 4185 4278 4320 4340 4347 4410 4416 4464 4480 4508 4536 4557 4704 4830 4960 4968 4991 5022 5040 5152 5184 5208 5292 5376 5520 5580 5635 5670 5704 5760 5796 5859 5880 5888 5952 6048 6076 6210 6272 6417 6440 6480 6510 6615 6624 6696 6720 6762 6912 6944 7056 7130 7245 7360 7440 7452 7560 7595 7728 7812 7840 7936 7938 8064 8280 8370 8556 8640 8680 8694 8820 8832 8928 8960 9016 9072 9114 9315 9408 9660 9765 9920 9936 9982 10044 10080 10143 10304 10368 10416 10584 10695 11040 11160 11270 11340 11408 11520 11592 11718 11760 11807 11904 12096 12152 12420 12544 12555 12834 12880 12960 13020 13041 13230 13248 13392 13440 13524 13671 13888 14112 14260 14490 14720 14880 14904 14973 15120 15190 15456 15624 15680 15876 16128 16560 16740 16905 17112 17280 17360 17388 17577 17640 17664 17856 18032 18144 18228 18630 18816 19251 19320 19530 19840 19845 19872 19964 20088 20160 20286 20608 20736 20832 21168 21390 21735 22080 22320 22540 22680 22785 22816 23184 23436 23520 23614 23808 24192 24304 24840 24955 25110 25668 25760 25920 26040 26082 26460 26496 26784 26880 27048 27342 27776 28224 28520 28980 29295 29440 29760 29808 29946 30240 30380 30429 30912 31248 31360 31752 32085 33120 33480 33810 34224 34560 34720 34776 34937 35154 35280 35421 35712 36064 36288 36456 37260 37632 38502 38640 39060 39680 39690 39744 39928 40176 40320 40572 41013 41216 41664 42336 42780 43470 44160 44640 44919 45080 45360 45570 45632 46368 46872 47040 47228 48384 48608 49680 49910 50220 50715 51336 51520 51840 52080 52164 52920 52992 53568 54096 54684 55552 56448 57040 57753 57960 58590 59035 59520 59616 59892 60480 60760 60858 61824 62496 62720 63504 64170 65205 66240 66960 67620 68355 68448 69440 69552 69874 70308 70560 70842 71424 72128 72576 72912 74520 74865 77004 77280 78120 79380 79488 79856 80352 80640 81144 82026 82649 83328 84672 85560 86940 87885 88320 89280 89838 90160 90720 91140 91264 91287 92736 93744 94080 94456 96255 97216 99360 99820 100440 101430 102672 103040 103680 104160 104328 104811 105840 106263 107136 108192 109368 112896 114080 115506 115920 117180 118070 119040 119232 119784 120960 121520 121716 123039 123648 124992 127008 128340 130410 132480 133920 134757 135240 136710 136896 138880 139104 139748 140616 141120 141684 144256 145152 145824 149040 149730 152145 154008 154560 156240 158760 158976 159712 160704 162288 164052 165298 166656 169344 171120 173880 174685 175770 177105 178560 179676 180320 181440 182280 182528 182574 185472 187488 188160 188912 192510 194432 198720 199640 200880 202860 205065 205344 206080 208320 208656 209622 211680 212526 214272 216384 218736 224595 228160 231012 231840 234360 236140 238464 239568 241920 243040 243432 246078 247947 249984 254016 256680 260820 264960 267840 269514 270480 271561 273420 273792 277760 278208 279496 281232 282240 283368 288512 288765 291648 298080 299460 304290 308016 309120 312480 314433 317520 318789 319424 321408 324576 328104 330596 338688 342240 347760 349370 351540 354210 357120 359352 360640 362880 364560 365148 366017 370944 374976 377824 385020 388864 397440 399280 401760 404271 405720 410130 410688 413245 416640 417312 419244 423360 425052 432768 437472 449190 456320 456435 462024 463680 468720 472280 476928 479136 486080 486864 492156 495894 499968 508032 513360 521640 524055 531315 535680 539028 540960 543122 546840 547584 556416 558992 562464 564480 566736 577530 578543 583296 596160 598920 608580 615195 616032 618240 624960 628866 635040 637578 638848 642816 649152 656208 661192 673785 684480 695520 698740 703080 708420 718704 721280 725760 729120 730296 732034 743841 749952 755648 770040 794880 798560 803520 808542 811440 814683 820260 821376 826490 833280 834624 838488 846720 850104 865536 874944 898380 912640 912870 924048 927360 937440 943299 944560 956367 958272 972160 973728 984312 991788 1016064 1026720 1043280 1048110 1062630 1071360 1078056 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2221605120 2272965570 2295658624 2346287040 2357149480 2371790160 2395168020 2421202455 2424496608 2433186560 2459634240 2463601392 2475006954 2499305760 2529909504 2554845888 2582615952 2651793165 2693885120 2727558684 2737334880 2767088520 2815544448 2828579376 2856349440 2869573280 2874201624 2905442946 2951561088 2999166912 3030620760 3079501740 3128382720 3162386880 3182151798 3193557360 3228269940 3232662144 3279512320 3284801856 3300009272 3320506224 3332407680 3406461184 3409448355 3443487936 3519430560 3535724220 3592752030 3622268160 3636744912 3649779840 3689451360 3712510431 3748958640 3771439168 3794864256 3832268832 3873923928 3998889216 4040827680 4106002320 4125011590 4150632780 4216515840 4242869064 4258076480 4284524160 4304359920 4311302436 4379735808 4427341632 4545931140 4591317248 4692574080 4714298960 4743580320 4773227697 4790336040 4842404910 4848993216 4919268480 4927202784 4950013908 4998611520 5109691776 5165231904 5303586330 5387770240 5389128045 5455117368 5474669760 5534177040 5631088896 5657158752 5739146560 5748403248 5810885892 5903122176 5998333824 6061241520 6159003480 6187517385 6324773760 6364303596 6387114720 6456539880 6465324288 6569603712 6600018544 6641012448 6664815360 6818896710 6886975872 7038861120 7071448440 7185504060 7263607365 7273489824 7299559680 7378902720 7425020862 7497917280 7542878336 7589728512 7664537664 7747847856 7955379495 8081655360 8212004640 8250023180 8301265560 8485738128 8516152960 8569048320 8608719840 8622604872 8854683264 9091862280 9385148160 9428597920 9487160640 9546455394 9580672080 9684809820 9697986432 9838536960 9854405568 9900027816 9997223040 10219383552 10330463808 10607172660 10775540480 10778256090 10910234736 10949339520 11068354080 11137531293 11314317504 11478293120 11496806496 11621771784 11996667648 12122483040 12318006960 12375034770 12649547520 12728607192 12774229440 12913079760 13139207424 13200037088 13282024896 13637793420 13773951744 14077722240 14142896880 14371008120 14527214730 14546979648 14757805440 14850041724 14995834560 15085756672 15329075328 15495695712 15910758990 16163310720 16424009280 16500046360 16602531120 16971476256 17032305920 17217439680 17245209744 17709366528 18183724560 18562552155 18857195840 18974321280 19092910788 19161344160 19369619640 19395972864 19708811136 19800055632 19994446080 20660927616 21214345320 21556512180 21820469472 21898679040 22136708160 22275062586 22628635008 22956586240 22993612992 23243543568 23866138485 24244966080 24636013920 24750069540 25457214384 25548458880 25826159520 26400074176 26564049792 27275586840 28155444480 28285793760 28742016240 29054429460 29093959296 29515610880 29700083448 29991669120 30658150656 30991391424 31821517980 32326621440 32848018560 33000092720 33205062240 33412593879 33942952512 34434879360 34490419488 36367449120 37125104310 37714391680 37948642560 38185821576 38322688320 38739239280 39417622272 39600111264 41321855232 42428690640 43113024360 43640938944 44273416320 44550125172 45257270016 45987225984 46487087136 47732276970 48489932160 49272027840 49500139080 50914428768 51096917760 51652319040 52800148352 53128099584 54551173680 55687656465 56571587520 57484032480 58108858920 58187918592 59400166896 59983338240 61982782848 63643035960 65696037120 66000185440 66410124480 66825187758 67885905024 68869758720 68980838976 72734898240 74250208620 75428783360 76371643152 76645376640 77478478560 79200222528 84857381280 86226048720 87281877888 88546832640 89100250344 91974451968 92974174272 95464553940 96979864320 98544055680 99000278160 101828857536 103304638080 105600296704 109102347360 111375312930 113143175040 114968064960 116217717840 118800333792 123965565696 127286071920 132000370880 132820248960 133650375516 135771810048 137961677952 145469796480 148500417240 152743286304 153290753280 154956957120 158400445056 167062969395 169714762560 172452097440 174563755776 178200500688 185948348544 190929107880 197088111360 198000556320 203657715072 206609276160 218204694720 222750625860 226286350080 229936129920 232435435680 237600667584 254572143840 264000741760 265640497920 267300751032 275923355904 290939592960 297000834480 305486572608 309913914240 316800890112 334125938790 339429525120 344904194880 356401001376 371896697088 381858215760 396001112640 407315430144 436409389440 445501251720 459872259840 464870871360 475201335168 509144287680 528001483520 534601502064 594001668960 610973145216 619827828480 668251877580 678859050240 689808389760 712802002752 763716431520 792002225280 872818778880 891002503440 929741742720 950402670336 1018288575360 1069203004128 1188003337920 1221946290432 1336503755160 1379616779520 1425604005504 1527432863040 1584004450560 1782005006880 1859483485440 2036577150720 2138406008256 2376006675840 2673007510320 2851208011008 3054865726080 3564010013760 4276812016512 4752013351680 5346015020640 6109731452160 7128020027520 8553624033024 10692030041280 14256040055040 21384060082560 42768120165120
- Sum of all divisors σ(n): 191765263269888
- Sum of proper divisors (its aliquot sum) s(n): 148997143104768
- 42768120165120 is an abundant number, because the sum of its proper divisors (148997143104768) is greater than itself. Its abundance is 106229022939648
Bases of 42768120165120
- Binary: 10011011100101101110101001110000110011000000002
- Hexadecimal: 0x26E5BA9C3300
- Base-36: F5REII800
Squares and roots of 42768120165120
- 42768120165120 squared (427681201651202) is 1829112102458143976064614400
- 42768120165120 cubed (427681201651203) is 78227686193405186903497289740717129728000
-
The
square root of 42768120165120 is 6539733.9521665559 -
The
cube root of 42768120165120 is 34970.8928519847
Scales and comparisons
How big is 42768120165120?- 42,768,120,165,120 seconds is equal to 1,359,893 years, 48 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 42,768,120,165,120 would take you about three million, three hundred ninety-nine thousand, seven hundred thirty-four 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 42768120165120 cubic inches would be around 2914.2 feet tall.
Recreational maths with 42768120165120
- 42768120165120 backwards is 02156102186724
- 42768120165120 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42768120165120's digits is 45
- More coming soon!
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"Number 42768120165120 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 42768120165120 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/42768120165120/
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The information we have on file for 42768120165120 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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