42138066106240
42,138,066,106,240 is an even composite number composed of eight prime numbers multiplied together.
42138066106240 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 42138066106240:
27 × 5 × 13 × 19 × 31 × 37 × 307 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 19 × 31 × 37 × 307 × 757)See below for interesting mathematical facts about the number 42138066106240 from the Numbermatics database.
Names of 42138066106240
- Cardinal: 42138066106240 can be written as Forty-two trillion, one hundred thirty-eight billion, sixty-six million, one hundred six thousand, two hundred forty.
Scientific notation
- Scientific notation: 4.213806610624 × 1013
Factors of 42138066106240
Divisors of 42138066106240
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 26 31 32 37 38 40 52 62 64 65 74 76 80 95 104 124 128 130 148 152 155 160 185 190 208 247 248 260 296 304 307 310 320 370 380 403 416 481 494 496 520 589 592 608 614 620 640 703 740 757 760 806 832 962 988 992 1040 1147 1178 1184 1216 1228 1235 1240 1406 1480 1514 1520 1535 1612 1664 1924 1976 1984 2015 2080 2294 2356 2368 2405 2432 2456 2470 2480 2812 2945 2960 3028 3040 3070 3224 3515 3785 3848 3952 3968 3991 4030 4160 4588 4712 4736 4810 4912 4940 4960 5624 5735 5833 5890 5920 6056 6080 6140 6448 7030 7570 7657 7696 7904 7982 8060 8320 9139 9176 9424 9517 9620 9824 9841 9880 9920 11248 11359 11470 11666 11780 11840 12112 12160 12280 12896 14060 14383 14911 15140 15314 15392 15808 15964 16120 18278 18352 18848 19034 19240 19648 19682 19760 19840 19955 21793 22496 22718 22940 23332 23467 23560 23680 24224 24560 25792 28009 28120 28766 29165 29822 30280 30628 30784 31616 31928 32240 36556 36704 37696 38068 38285 38480 39296 39364 39520 39910 43586 44992 45436 45695 45880 46664 46934 47120 47585 48448 49120 49205 51584 56018 56240 56795 57532 58330 59644 60560 61256 61568 63856 64480 71915 73112 73408 74555 75392 75829 76136 76570 76960 78728 79040 79820 87172 89984 90872 91390 91760 93328 93868 94240 95170 96896 98240 98410 108965 112036 112480 113590 115064 116660 117335 119288 121120 122512 123721 127712 128960 140045 143830 146224 146816 147667 149110 151658 152272 153140 153920 157456 158080 159640 174344 180823 181744 182780 183520 186656 186979 187736 188480 190340 196480 196820 215821 217930 224072 224960 227180 230128 232399 233320 234670 238576 242240 245024 247442 255424 257920 280090 283309 287660 292448 295334 298220 303316 304544 305071 306280 307840 314912 319280 348688 352129 361646 363488 364117 365560 367040 373312 373958 375472 376960 379145 380680 393640 431642 435860 445873 448144 449920 454360 460256 464798 466640 469340 477152 484480 490048 494884 510848 532171 560180 566618 575320 584896 590668 596440 606632 609088 610142 612560 618605 629824 638560 697376 704258 723292 726976 728234 731120 734080 738335 746624 747916 750944 758290 761360 787280 863284 868279 871720 891746 896288 904115 908720 920512 929596 933280 934895 938680 954304 980096 989768 1064342 1079105 1120360 1133236 1150640 1161995 1169792 1181336 1192880 1213264 1218176 1220284 1225120 1237210 1259648 1277120 1394752 1408516 1416545 1446584 1453952 1456468 1462240 1476670 1495832 1501888 1516580 1522720 1525355 1574560 1726568 1736558 1743440 1760645 1783492 1792576 1808230 1817440 1820585 1841024 1859192 1866560 1869790 1877360 1908608 1979536 2128684 2158210 2229365 2240720 2266472 2301280 2323990 2350699 2362672 2385760 2426528 2440568 2450240 2474420 2554240 2660855 2789504 2805673 2817032 2833090 2893168 2912936 2924480 2953340 2991664 3003776 3021187 3033160 3045440 3050710 3149120 3453136 3473116 3486880 3521290 3566984 3585152 3616460 3634880 3641170 3718384 3733120 3739580 3754720 3959072 4257368 4316420 4341395 4415581 4458730 4481440 4532944 4577677 4602560 4647980 4701398 4725344 4771520 4853056 4881136 4900480 4948840 5321710 5611346 5634064 5666180 5786336 5796349 5825872 5848960 5906680 5983328 6042374 6066320 6090880 6101420 6298240 6690451 6906272 6918223 6946232 6973760 7042580 7133968 7204369 7232920 7269760 7282340 7436768 7479160 7509440 7918144 8514736 8598763 8632840 8682790 8831162 8917460 8962880 9065888 9155354 9205120 9295960 9402796 9450688 9543040 9706112 9762272 9897680 10643420 11222692 11268128 11287627 11332360 11572672 11592698 11651744 11753495 11813360 11966656 12084748 12132640 12202840 13380902 13812544 13836446 13892464 13947520 14028365 14085160 14267936 14408738 14465840 14564680 14873536 14958320 15018880 15105935 15836288 16497301 17029472 17197526 17265680 17365580 17662324 17834920 17925760 18131776 18310708 18591920 18805592 18901376 19524544 19795360 21286840 22077905 22445384 22536256 22575254 22664720 22888385 23145344 23185396 23303488 23506990 23626720 23933312 24169496 24265280 24405680 26761804 27625088 27672892 27784928 28056730 28170320 28535872 28817476 28931680 28981745 29129360 29747072 29916640 30211870 32994602 33452255 34058944 34395052 34531360 34591115 34731160 35324648 35669840 36021845 36263552 36621416 37183840 37611184 39049088 39590720 42573680 42993815 44155810 44890768 45072512 45150508 45329440 45776770 46370792 46606976 47013980 47253440 48338992 48530560 48811360 53523608 55345784 55569856 56113460 56340640 56438135 57071744 57402553 57634952 57863360 57963490 58258720 59833280 60423740 65989204 66904510 68117888 68790104 69062720 69182230 69462320 70649296 71339680 72043690 73242832 74367680 75222368 79181440 82486505 85147360 85987630 86975863 88311620 89781536 90301016 90658880 91553540 92741584 93656797 94027960 94506880 96677984 97622720 107047216 110691568 111139712 111783919 112226920 112681280 112876270 114805106 115269904 115726720 115926980 116517440 119666560 120847480 131978408 133809020 136883011 137580208 138125440 138364460 138924640 141298592 142679360 144087380 146485664 148735360 150444736 163376497 164973010 170294720 171975260 173951726 176623240 179563072 180602032 181317760 183107080 185483168 187313594 188055920 193355968 195245440 214094432 214464913 221383136 223567838 224453840 225362560 225752540 229610212 230539808 231853960 233034880 241694960 263956816 266561653 267618040 273766022 275160416 276728920 277849280 282597184 285358720 287012765 288174760 292971328 300889472 326752994 329946020 340589440 343950520 347903452 353246480 359126144 361204064 366214160 370966336 374627188 376111840 386711936 428188864 428929826 434879315 442766272 447135676 448907680 451505080 459220424 461079616 463707920 468283985 483389920 527913632 533123306 535236080 547532044 550320832 553457840 555698560 558919595 565194368 574025530 576349520 585942656 653505988 659892040 684415055 687901040 695806904 706492960 722408128 732428320 741932672 749254376 752223680 816882485 856377728 857859652 869758630 885532544 894271352 897815360 903010160 918440848 922159232 927415840 936567970 966779840 1055827264 1066246612 1070472160 1072324565 1095064088 1100641664 1106915680 1117839190 1148051060 1152699040 1307011976 1319784080 1332808265 1368830110 1375802080 1391613808 1412985920 1444816256 1464856640 1498508752 1504447360 1633764970 1715719304 1739517260 1779479143 1788542704 1795630720 1806020320 1836881696 1854831680 1873135940 1933559680 2111654528 2123894461 2132493224 2140944320 2144649130 2190128176 2213831360 2235678380 2296102120 2305398080 2614023952 2639568160 2665616530 2737660220 2751604160 2783227616 2825971840 2929713280 2997017504 3267529940 3431438608 3465301489 3479034520 3558958286 3577085408 3612040640 3673763392 3709663360 3746271880 4247788922 4264986448 4281888640 4289298260 4380256352 4427662720 4471356760 4592204240 4610796160 5064671407 5228047904 5279136320 5331233060 5475320440 5503208320 5566455232 5994035008 6535059880 6862877216 6930602978 6958069040 7117916572 7154170816 7224081280 7347526784 7492543760 8495577844 8529972896 8578596520 8760512704 8897395715 8942713520 9184408480 10129342814 10456095808 10558272640 10619472305 10662466120 10950640880 11132910464 11988070016 13070119760 13725754432 13861205956 13916138080 14235833144 14308341632 14985087520 16991155688 17059945792 17157193040 17326507445 17521025408 17794791430 17885427040 18368816960 20258685628 20912191616 21238944610 21324932240 21901281760 25323357035 26140239520 27451508864 27722411912 27832276160 28471666288 29970175040 33982311376 34119891584 34314386080 34653014890 35589582860 35770854080 36737633920 40517371256 42477889220 42649864480 43802563520 50646714070 52280479040 55444823824 55664552320 56943332576 59940350080 65840728291 67964622752 68628772160 69306029780 71179165720 71541708160 81034742512 84955778440 85299728960 87605127040 101293428140 104560958080 110889647648 113886665152 131681456582 135929245504 137257544320 138612059560 142358331440 162069485024 169911556880 170599457920 202586856280 221779295296 227773330304 263362913164 271858491008 277224119120 284716662880 324138970048 329203641455 339823113760 405173712560 443558590592 526725826328 554448238240 569433325760 648277940096 658407282910 679646227520 810347425120 1053451652656 1108896476480 1138866651520 1316814565820 1359292455040 1620694850240 2106903305312 2217792952960 2633629131640 3241389700480 4213806610624 5267258263280 8427613221248 10534516526560 21069033053120 42138066106240
- Sum of all divisors σ(n): 121619428761600
- Sum of proper divisors (its aliquot sum) s(n): 79481362655360
- 42138066106240 is an abundant number, because the sum of its proper divisors (79481362655360) is greater than itself. Its abundance is 37343296549120
Bases of 42138066106240
- Binary: 10011001010011000010000111011000110111100000002
- Hexadecimal: 0x265308763780
- Base-36: EXPYKL4SG
Squares and roots of 42138066106240
- 42138066106240 squared (421380661062402) is 1775616615173852274966937600
- 42138066106240 cubed (421380661062403) is 74821050309533897832877030099169050624000
-
The
square root of 42138066106240 is 6491383.9900471147 -
The
cube root of 42138066106240 is 34798.3137934901
Scales and comparisons
How big is 42138066106240?- 42,138,066,106,240 seconds is equal to 1,339,860 years, 8 weeks, 2 days, 10 hours, 50 minutes, 40 seconds.
-
To count from 1 to 42,138,066,106,240 would take you about three million, three hundred forty-nine thousand, six hundred fifty 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 42138066106240 cubic inches would be around 2899.9 feet tall.
Recreational maths with 42138066106240
- 42138066106240 backwards is 04260166083124
- The number of decimal digits it has is: 14
- The sum of 42138066106240's digits is 43
- More coming soon!
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The information we have on file for 42138066106240 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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