42146768996640
42,146,768,996,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42146768996640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
42146768996640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 42146768996640:
25 × 34 × 5 × 7 × 11 × 31 × 1362407
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 31 × 1362407)See below for interesting mathematical facts about the number 42146768996640 from the Numbermatics database.
Names of 42146768996640
- Cardinal: 42146768996640 can be written as Forty-two trillion, one hundred forty-six billion, seven hundred sixty-eight million, nine hundred ninety-six thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.214676899664 × 1013
Factors of 42146768996640
Divisors of 42146768996640
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 31 32 33 35 36 40 42 44 45 48 54 55 56 60 62 63 66 70 72 77 80 81 84 88 90 93 96 99 105 108 110 112 120 124 126 132 135 140 144 154 155 160 162 165 168 176 180 186 189 198 210 216 217 220 224 231 240 248 252 264 270 279 280 288 297 308 310 315 324 330 336 341 352 360 372 378 385 396 405 420 432 434 440 462 465 480 495 496 504 528 540 558 560 567 594 616 620 630 648 651 660 672 682 693 720 744 756 770 792 810 837 840 864 868 880 891 924 930 945 990 992 1008 1023 1056 1080 1085 1116 1120 1134 1155 1188 1232 1240 1260 1296 1302 1320 1364 1386 1395 1440 1485 1488 1512 1540 1584 1620 1674 1680 1705 1736 1760 1782 1848 1860 1890 1953 1980 2016 2046 2079 2160 2170 2232 2268 2310 2376 2387 2464 2480 2511 2520 2592 2604 2640 2728 2772 2790 2835 2970 2976 3024 3069 3080 3168 3240 3255 3348 3360 3410 3465 3472 3564 3696 3720 3780 3906 3960 4092 4158 4185 4320 4340 4455 4464 4536 4620 4752 4774 4960 5022 5040 5115 5208 5280 5456 5544 5580 5670 5859 5940 6048 6138 6160 6237 6480 6510 6696 6820 6930 6944 7128 7161 7392 7440 7560 7812 7920 8184 8316 8370 8680 8910 8928 9072 9207 9240 9504 9548 9765 10044 10080 10230 10395 10416 10912 11088 11160 11340 11718 11880 11935 12276 12320 12474 12555 12960 13020 13392 13640 13860 14256 14322 14880 15120 15345 15624 15840 16368 16632 16740 17360 17577 17820 18144 18414 18480 19096 19530 20088 20460 20790 20832 21483 22176 22320 22680 23436 23760 23870 24552 24948 25110 26040 26784 27280 27621 27720 28512 28644 29295 30240 30690 31185 31248 32736 33264 33480 34720 35154 35640 35805 36828 36960 38192 39060 40176 40920 41580 42966 44640 45360 46035 46872 47520 47740 49104 49896 50220 52080 54560 55242 55440 57288 58590 61380 62370 62496 64449 66528 66960 70308 71280 71610 73656 76384 78120 80352 81840 83160 85932 87885 90720 92070 93744 95480 98208 99792 100440 104160 107415 110484 110880 114576 117180 122760 124740 128898 133920 138105 140616 142560 143220 147312 156240 163680 166320 171864 175770 184140 187488 190960 193347 199584 200880 214830 220968 229152 234360 245520 249480 257796 276210 281232 286440 294624 312480 322245 332640 343728 351540 368280 381920 386694 401760 429660 441936 468720 491040 498960 515592 552420 562464 572880 644490 687456 703080 736560 773388 859320 883872 937440 966735 997920 1031184 1104840 1145760 1288980 1362407 1406160 1473120 1546776 1718640 1933470 2062368 2209680 2577960 2724814 2812320 3093552 3437280 3866940 4087221 4419360 5155920 5449628 6187104 6812035 7733880 8174442 9536849 10311840 10899256 12261663 13624070 14986477 15467760 16348884 19073698 20436105 21798512 24523326 27248140 28610547 29972954 30935520 32697768 36784989 38147396 40872210 42234617 43597024 44959431 47684245 49046652 54496280 57221094 59945908 61308315 65395536 73569978 74932385 76294792 81744420 84469234 85831641 89918862 95368490 98093304 104905339 108992560 110354967 114442188 119891816 122616630 126703851 130791072 134878293 143052735 147139956 149864770 152589584 163488840 168938468 171663282 179837724 183924945 190736980 196186608 209810678 211173085 217985120 220709934 224797155 228884376 239783632 245233260 253407702 257494923 269756586 286105470 294279912 295642319 299729540 305179168 314716017 326977680 337876936 343326564 359675448 367849890 380111553 381473960 392373216 404634879 419621356 422346170 429158205 441419868 449594310 457768752 464580787 479567264 490466520 506815404 514989846 524526695 539513172 551774835 572210940 588559824 591284638 599459080 629432034 633519255 653955360 674391465 675753872 686653128 719350896 735699780 760223106 762947920 772484769 809269758 839242712 844692340 858316410 882839736 886926957 899188620 915537504 929161574 944148051 980933040 1013630808 1029979692 1049053390 1079026344 1103549670 1140334659 1144421880 1177119648 1182569276 1198918160 1213904637 1258864068 1267038510 1287474615 1348782930 1351507744 1373306256 1393742361 1438701792 1471399560 1478211595 1520446212 1525895840 1544969538 1573580085 1618539516 1678485424 1689384680 1716632820 1765679472 1773853914 1798377240 1858323148 1888296102 1900557765 1961866080 2023174395 2027261616 2059959384 2098106780 2158052688 2207099340 2280669318 2288843760 2322903935 2365138552 2397836320 2427809274 2517728136 2534077020 2574949230 2660780871 2697565860 2746612512 2787484722 2832444153 2942799120 2956423190 3040892424 3089939076 3147160170 3237079032 3252065509 3356970848 3378769360 3421003977 3433265640 3531358944 3547707828 3596754480 3716646296 3776592204 3801115530 3862423845 4046348790 4054523232 4119918768 4181227083 4196213560 4316105376 4414198680 4434634785 4561338636 4577687520 4645807870 4720740255 4730277104 4855618548 5035456272 5068154040 5149898460 5321561742 5395131720 5574969444 5664888306 5701673295 5885598240 5912846380 6069523185 6081784848 6179878152 6294320340 6474158064 6504131018 6757538720 6842007954 6866531280 6968711805 7095415656 7193508960 7433292592 7553184408 7602231060 7724847690 7982342613 8092697580 8239837536 8362454166 8392427120 8497332459 8828397360 8869269570 9122677272 9291615740 9441480510 9460554208 9711237096 9756196527 10070912544 10136308080 10299796920 10643123484 10790263440 11149938888 11329776612 11403346590 11825692760 12139046370 12163569696 12359756304 12543681249 12588640680 12948316128 13008262036 13303904355 13684015908 13733062560 13937423610 14162220765 14190831312 14866585184 15106368816 15204462120 15449695380 15964685226 16185395160 16260327545 16724908332 16784854240 16994664918 17105019885 17656794720 17738539140 18245354544 18583231480 18882961020 19422474192 19512393054 20272616160 20599593840 20906135415 21286246968 21580526880 22299877776 22659553224 22806693180 23651385520 23947027839 24278092740 24719512608 25087362498 25177281360 26016524072 26607808710 27368031816 27874847220 28324441530 28381662624 29268589581 30212737632 30408924240 30899390760 31929370452 32370790320 32520655090 33449816664 33989329836 34210039770 35477078280 36490709088 37166462960 37631043747 37765922040 38844948384 39024786108 39911713065 41199187680 41812270830 42486662295 42572493936 44599755552 45319106448 45613386360 47302771040 47894055678 48556185480 48780982635 50174724996 50354562720 52033048144 53215617420 54736063632 55749694440 56648883060 58537179162 60817848480 61798781520 62718406245 63858740904 64741580640 65041310180 66899633328 67978659672 68420079540 70954156560 74332925920 75262087494 75531844080 78049572216 79823426130 83624541660 84973324590 85144987872 87805768743 90638212896 91226772720 95788111356 97112370960 97561965270 100349449992 104066096288 106431234840 109472127264 111499388880 113297766120 117074358324 119735139195 123597563040 125436812490 127717481808 130082620360 133799266656 135957319344 136840159080 141908313120 146342947905 150524174988 151063688160 156099144432 159646852260 167249083320 169946649180 175611537486 182453545440 188155218735 191576222712 194224741920 195123930540 200698899984 212862469680 222998777760 226595532240 234148716648 239470278390 250873624980 255434963616 260165240720 263417306229 271914638688 273680318160 292685895810 301048349976 312198288864 319293704520 334498166640 339893298360 351223074972 376310437470 383152445424 390247861080 401397799968 425724939360 439028843715 453191064480 468297433296 478940556780 501747249960 520330481440 526834612458 547360636320 585371791620 602096699952 638587409040 668996333280 679786596720 702446149944 752620874940 766304890848 780495722160 878057687430 936594866592 957881113560 1003494499920 1053669224916 1170743583240 1204193399904 1277174818080 1317086531145 1359573193440 1404892299888 1505241749880 1560991444320 1756115374860 1915762227120 2006988999840 2107338449832 2341487166480 2634173062290 2809784599776 3010483499760 3512230749720 3831524454240 4214676899664 4682974332960 5268346124580 6020966999520 7024461499440 8429353799328 10536692249160 14048922998880 21073384498320 42146768996640
- Sum of all divisors σ(n): 191428046143488
- Sum of proper divisors (its aliquot sum) s(n): 149281277146848
- 42146768996640 is an abundant number, because the sum of its proper divisors (149281277146848) is greater than itself. Its abundance is 107134508150208
Bases of 42146768996640
- Binary: 10011001010101000011110011000111001001001000002
- Hexadecimal: 0x26550F31C920
- Base-36: EXTYI2A00
Squares and roots of 42146768996640
- 42146768996640 squared (421467689966402) is 1776350136856134712331289600
- 42146768996640 cubed (421467689966403) is 74867418875225359493671701609869266944000
-
The
square root of 42146768996640 is 6492054.2971112003 -
The
cube root of 42146768996640 is 34800.7092923209
Scales and comparisons
How big is 42146768996640?- 42,146,768,996,640 seconds is equal to 1,340,136 years, 46 weeks, 8 hours, 24 minutes.
-
To count from 1 to 42,146,768,996,640 would take you about three million, three hundred fifty thousand, three hundred forty-two 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 42146768996640 cubic inches would be around 2900.1 feet tall.
Recreational maths with 42146768996640
- 42146768996640 backwards is 04669986764124
- 42146768996640 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42146768996640's digits is 72
- More coming soon!
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The information we have on file for 42146768996640 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 42146768996640, math, Factors of 42146768996640, curriculum, school, college, exams, university, Prime factorization of 42146768996640, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred forty-six billion, seven hundred sixty-eight million, nine hundred ninety-six thousand, six hundred forty.