42120918538380
42,120,918,538,380 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42120918538380 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1440 divisors.
42120918538380 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 42120918538380:
22 × 34 × 5 × 112 × 37 × 71 × 157 × 521
(2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 37 × 71 × 157 × 521)See below for interesting mathematical facts about the number 42120918538380 from the Numbermatics database.
Names of 42120918538380
- Cardinal: 42120918538380 can be written as Forty-two trillion, one hundred twenty billion, nine hundred eighteen million, five hundred thirty-eight thousand, three hundred eighty.
Scientific notation
- Scientific notation: 4.212091853838 × 1013
Factors of 42120918538380
Divisors of 42120918538380
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 37 44 45 54 55 60 66 71 74 81 90 99 108 110 111 121 132 135 142 148 157 162 165 180 185 198 213 220 222 242 270 284 297 314 324 330 333 355 363 370 396 405 407 426 444 471 484 495 521 540 555 594 605 628 639 660 666 710 726 740 781 785 810 814 852 891 942 990 999 1042 1065 1089 1110 1188 1210 1221 1278 1332 1413 1420 1452 1485 1562 1563 1570 1620 1628 1665 1727 1782 1815 1884 1917 1980 1998 2035 2084 2130 2178 2220 2343 2355 2420 2442 2556 2605 2627 2826 2970 2997 3124 3126 3140 3195 3267 3330 3454 3564 3630 3663 3834 3905 3996 4070 4239 4260 4356 4455 4477 4686 4689 4710 4884 4995 5181 5210 5254 5445 5652 5731 5751 5809 5940 5994 6105 6252 6390 6534 6660 6908 7029 7065 7260 7326 7668 7810 7815 7881 8140 8478 8591 8635 8910 8954 9372 9378 9420 9585 9801 9990 10362 10420 10508 10890 10989 11147 11462 11502 11618 11715 11988 12210 12717 12780 13068 13135 13431 14058 14067 14130 14652 14985 15543 15620 15630 15762 16335 16956 17182 17193 17270 17427 17820 17908 18315 18756 18997 19170 19277 19602 19980 20724 21087 21195 21780 21978 22294 22385 22924 23004 23236 23430 23445 23643 24420 25434 25773 25905 26270 26862 28116 28134 28260 28655 28755 28897 29045 29970 31086 31260 31524 32670 32967 33441 34364 34386 34540 34854 35145 36630 36991 37994 38340 38554 39204 39405 40293 42174 42201 42390 42955 43956 44588 44770 46629 46860 46890 47286 49005 50868 51546 51579 51810 52281 52540 53724 54945 55735 56268 56991 57310 57510 57794 57831 58090 59940 62172 63041 63261 63585 63899 65340 65934 66882 67155 68772 69708 70290 70335 70929 73260 73982 75988 77108 77319 77715 78810 80586 81797 84348 84402 84780 85910 85965 86691 87135 89540 93258 93780 94572 94985 96385 98010 100323 103092 103158 103620 104562 105435 109890 110973 111470 113982 114620 115020 115588 115662 116180 118215 120879 122617 126082 126522 127170 127798 128865 131868 133764 134310 139887 140580 140670 141858 144485 147964 154638 154737 155430 156843 157620 161172 163594 164835 167205 168804 170973 171820 171930 173382 173493 174270 184955 186516 189123 189970 191697 192770 196020 200646 201465 206316 209124 210870 211005 212047 212787 219780 221946 222940 227964 231324 231957 233145 236430 241758 245234 245391 252164 253044 254340 255596 257730 257895 260073 261405 268620 279774 281340 283716 284955 288970 289155 300969 309276 309474 310860 313686 315205 316305 317867 319495 327188 329670 332919 334410 341946 343860 346764 346986 348540 354645 362637 367851 369910 378246 379940 383394 385540 386595 401292 402930 406901 408985 412439 421740 422010 424094 425574 433455 443892 463914 464211 466290 470529 472860 483516 490468 490782 501615 512919 515460 515790 520146 520479 522810 554865 559548 567369 569910 575091 577940 578310 601938 604395 613085 618948 627372 630410 632610 635734 636141 638990 659340 665838 668820 683892 693972 695871 699435 702889 709290 725274 735702 736173 739820 756492 766788 773190 773685 780219 784215 805860 813802 817970 824878 844020 848188 851148 854865 866910 867465 899767 902907 927828 928422 932580 941058 945615 953601 958485 981564 998757 1003230 1025838 1031580 1040292 1040958 1045620 1060235 1063935 1103553 1109730 1134738 1139820 1150182 1156620 1159785 1203876 1208790 1220703 1226170 1226955 1237317 1260820 1265220 1271468 1272282 1277980 1300365 1331676 1348787 1368667 1391742 1398870 1405778 1418580 1450548 1471404 1472346 1504845 1538757 1546380 1547370 1560438 1561437 1568430 1589335 1627604 1635940 1649756 1664595 1702107 1709730 1725273 1733820 1734930 1799534 1805814 1813185 1839255 1856844 1882116 1891230 1907202 1908423 1916970 1997514 2006460 2034505 2051676 2062195 2081916 2108667 2120470 2127870 2207106 2208519 2219460 2269476 2300364 2319570 2321055 2332517 2340657 2352645 2417580 2441406 2452340 2453910 2474634 2544564 2564595 2600730 2602395 2697574 2699301 2737334 2783484 2797740 2811556 2836845 2860803 2875455 2944692 2996271 3009690 3026489 3077514 3094740 3120876 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1490478363 1497153570 1498112055 1568048490 1603384794 1625976396 1634304060 1656087070 1724853339 1781538660 1796584284 1797734466 1812743955 1831025845 1837415745 1881658188 1889338770 1916503710 1933926471 1987304484 1997482740 2032470495 2108154081 2148807190 2185034940 2197231014 2217240540 2245730355 2299804452 2352072735 2363687909 2416991940 2438964594 2449887660 2451456090 2484130605 2578568628 2672307990 2694876426 2696601699 2709960660 2810872108 2874755565 2980956726 2994307140 2996224110 3136096980 3206769588 3223210785 3295846521 3312174140 3449706678 3513590135 3595468932 3625487910 3662051690 3674831490 3778677540 3833007420 3867852942 4008461985 4042314639 4064940990 4216308162 4297614380 4394462028 4471435089 4491460710 4494336165 4704145470 4727375818 4877929188 4902912180 4968261210 5174560017 5344615980 5389752852 5393203398 5493077535 5749511130 5801779413 5961913452 5992448220 6097411485 6324462243 6446421570 6591693042 6737191065 6899413356 7027180270 7091063727 7250975820 7324103380 7349662980 7452391815 7735705884 8016923970 8084629278 8129881980 8432616324 8624266695 8942870178 8982921420 8988672330 9408290940 9454751636 9669632355 9887539563 9936522420 10349120034 10540770405 10786406796 10986155070 11499022260 11603558826 11818439545 12194822970 12648924486 12892843140 13183386084 13414305267 13474382130 13483008495 14054360540 14182127454 14904783630 16033847940 16169258556 16479232605 17248533390 17405338239 17885740356 17977344660 18973386729 19339264710 19775079126 20211573195 20698240068 21081540810 21273191181 21972310140 22357175445 23207117652 23636879090 24389645940 25297848972 25872800085 26000566999 26828610534 26948764260 26966016990 28364254908 29008897065 29662618689 29809567260 31622311215 32958465210 34497066780 34810676478 35455318635 37946773458 38678529420 39550158252 40423146390 42163081620 42546382362 44714350890 47273758180 49437697815 51745600170 52001133998 53657221068 53932033980 56920160187 58017794130 59325237378 63244622430 63819573543 65916930420 67071526335 69621352956 70910637270 75893546916 78001700997 80846292780 85092764724 87026691195 89428701780 94866933645 98875395630 103491200340 104002267996 106365955905 113840320374 116035588260 118650474756 126489244860 127639147086 130002834995 134143052670 141821274540 148313093445 156003401994 174053382390 189733867290 191458720629 197750791260 212731911810 227680640748 234005102991 255278294172 260005669990 268286105340 284600800935 296626186890 312006803988 319097867715 348106764780 379467734580 382917441258 390008504985 425463823620 468010205982 520011339980 569201601870 593252373780 638195735430 702015308973 765834882516 780017009970 936020411964 957293603145 1138403203740 1170025514955 1276391470860 1404030617946 1560034019940 1914587206290 2106045926919 2340051029910 2808061235892 3510076544865 3829174412580 4212091853838 4680102059820 7020153089730 8424183707676 10530229634595 14040306179460 21060459269190 42120918538380
- Sum of all divisors σ(n): 152521119628416
- Sum of proper divisors (its aliquot sum) s(n): 110400201090036
- 42120918538380 is an abundant number, because the sum of its proper divisors (110400201090036) is greater than itself. Its abundance is 68279282551656
Bases of 42120918538380
- Binary: 10011001001111000010100110001100011000100011002
- Hexadecimal: 0x264F0A63188C
- Base-36: EXI2ZD8R0
Squares and roots of 42120918538380
- 42120918538380 squared (421209185383802) is 1774171778516843955533024400
- 42120918538380 cubed (421209185383803) is 74729744956000747987700615824268876472000
-
The
square root of 42120918538380 is 6490063.0612021021 -
The
cube root of 42120918538380 is 34793.5929044269
Scales and comparisons
How big is 42120918538380?- 42,120,918,538,380 seconds is equal to 1,339,314 years, 47 weeks, 6 days, 5 hours, 33 minutes.
-
To count from 1 to 42,120,918,538,380 would take you about three million, three hundred forty-eight thousand, two hundred eighty-seven 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 42120918538380 cubic inches would be around 2899.5 feet tall.
Recreational maths with 42120918538380
- 42120918538380 backwards is 08383581902124
- 42120918538380 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42120918538380's digits is 54
- More coming soon!
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"Number 42120918538380 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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Numbermatics. (2024). Number 42120918538380 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/42120918538380/
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The information we have on file for 42120918538380 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 42120918538380, math, Factors of 42120918538380, curriculum, school, college, exams, university, Prime factorization of 42120918538380, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred twenty billion, nine hundred eighteen million, five hundred thirty-eight thousand, three hundred eighty.