42157410713600
42,157,410,713,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 42157410713600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
42157410713600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42157410713600:
215 × 52 × 7 × 132 × 41 × 1061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 13 × 41 × 1061)See below for interesting mathematical facts about the number 42157410713600 from the Numbermatics database.
Names of 42157410713600
- Cardinal: 42157410713600 can be written as Forty-two trillion, one hundred fifty-seven billion, four hundred ten million, seven hundred thirteen thousand, six hundred.
Scientific notation
- Scientific notation: 4.21574107136 × 1013
Factors of 42157410713600
Divisors of 42157410713600
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 41 50 52 56 64 65 70 80 82 91 100 104 112 128 130 140 160 164 169 175 182 200 205 208 224 256 260 280 287 320 325 328 338 350 364 400 410 416 448 455 512 520 533 560 574 640 650 656 676 700 728 800 820 832 845 896 910 1024 1025 1040 1061 1066 1120 1148 1183 1280 1300 1312 1352 1400 1435 1456 1600 1640 1664 1690 1792 1820 2048 2050 2080 2122 2132 2240 2275 2296 2366 2560 2600 2624 2665 2704 2800 2870 2912 3200 3280 3328 3380 3584 3640 3731 4096 4100 4160 4225 4244 4264 4480 4550 4592 4732 5120 5200 5248 5305 5330 5408 5600 5740 5824 5915 6400 6560 6656 6760 6929 7168 7175 7280 7427 7462 8192 8200 8320 8450 8488 8528 8960 9100 9184 9464 10240 10400 10496 10610 10660 10816 11200 11480 11648 11830 12800 13120 13312 13325 13520 13793 13858 14336 14350 14560 14854 14924 16384 16400 16640 16900 16976 17056 17920 18200 18368 18655 18928 20480 20800 20992 21220 21320 21632 22400 22960 23296 23660 25600 26240 26525 26624 26650 27040 27586 27716 28672 28700 29120 29575 29708 29848 32768 32800 33280 33800 33952 34112 34645 35840 36400 36736 37135 37310 37856 40960 41600 41984 42440 42640 43264 43501 44800 45920 46592 47320 48503 51200 52480 53050 53248 53300 54080 55172 55432 57344 57400 58240 59150 59416 59696 65600 66560 67600 67904 68224 68965 69290 71680 72800 73472 74270 74620 75712 81920 83200 83968 84880 85280 86528 87002 89600 91840 93184 93275 94640 96551 97006 102400 104960 106100 106496 106600 108160 110344 110864 114688 114800 116480 118300 118832 119392 131200 133120 135200 135808 136448 137930 138580 143360 145600 146944 148540 149240 151424 163840 166400 167936 169760 170560 173056 173225 174004 179200 179309 183680 185675 186368 186550 189280 193102 194012 204800 209920 212200 212992 213200 216320 217505 220688 221728 229376 229600 232960 236600 237664 238784 242515 262400 266240 270400 271616 272896 275860 277160 286720 291200 293888 297080 298480 302848 304507 332800 335872 339520 341120 344825 346112 346450 348008 358400 358618 367360 371350 372736 373100 378560 386204 388024 409600 419840 424400 425984 426400 432640 435010 441376 443456 459200 465920 473200 475328 477568 482755 485030 524800 532480 540800 543232 545792 551720 554320 565513 573440 582400 587776 594160 596960 605696 609014 665600 671744 679040 682240 689650 692224 692900 696016 716800 717236 734720 742700 745472 746200 757120 772408 776048 819200 839680 848800 852800 865280 870020 882752 886912 896545 918400 931840 946400 950656 955136 965510 970060 1049600 1064960 1081600 1086464 1087525 1091584 1103440 1108640 1131026 1146880 1164800 1175552 1188320 1193920 1211392 1212575 1218028 1255163 1331200 1343488 1358080 1364480 1379300 1384448 1385800 1392032 1433600 1434472 1469440 1485400 1490944 1492400 1514240 1522535 1544816 1552096 1679360 1697600 1705600 1730560 1740040 1765504 1773824 1793090 1836800 1863680 1892800 1901312 1910272 1931020 1940120 2099200 2129920 2163200 2172928 2175050 2183168 2206880 2217280 2262052 2329600 2351104 2376640 2387840 2413775 2422784 2425150 2436056 2510326 2662400 2716160 2728960 2758600 2768896 2771600 2784064 2827565 2867200 2868944 2938880 2970800 2981888 2984800 3028480 3045070 3089632 3104192 3358720 3395200 3411200 3461120 3480080 3531008 3547648 3586180 3673600 3727360 3785600 3802624 3820544 3862040 3880240 3958591 4198400 4326400 4345856 4350100 4366336 4413760 4434560 4482725 4524104 4659200 4702208 4753280 4775680 4827550 4845568 4850300 4872112 5020652 5324800 5432320 5457920 5517200 5537792 5543200 5568128 5655130 5734400 5737888 5877760 5941600 5969600 6056960 6090140 6179264 6208384 6275815 6717440 6790400 6822400 6922240 6960160 7062016 7095296 7172360 7347200 7351669 7454720 7571200 7605248 7612675 7641088 7724080 7760480 7917182 8396800 8652800 8691712 8700200 8732672 8827520 8869120 8965450 9048208 9318400 9404416 9506560 9551360 9655100 9691136 9700600 9744224 10041304 10649600 10864640 10915840 11034400 11086400 11136256 11310260 11475776 11755520 11883200 11939200 12113920 12180280 12358528 12416768 12551630 13580800 13644800 13844480 13920320 14124032 14137825 14190592 14344720 14694400 14703338 14909440 15142400 15210496 15225350 15282176 15448160 15520960 15834364 16793600 17305600 17383424 17400400 17465344 17655040 17738240 17930900 18096416 18636800 19013120 19102720 19310200 19382272 19401200 19488448 19792955 20082608 21729280 21831680 22068800 22172800 22272512 22620520 22951552 23511040 23766400 23878400 24227840 24360560 24717056 24833536 25103260 27161600 27289600 27688960 27840640 28248064 28275650 28381184 28689440 29388800 29406676 30284800 30420992 30450700 30564352 30896320 31041920 31379075 31668728 33587200 34611200 34766848 34800800 35310080 35476480 35861800 36192832 36758345 37273600 38026240 38205440 38620400 38764544 38802400 38976896 39585910 40165216 43458560 43663360 44137600 44345600 44545024 45241040 45903104 47022080 47532800 47756800 48455680 48721120 49434112 49667072 50206520 51461683 54323200 54579200 55681280 56496128 56551300 56762368 57378880 58777600 58813352 60569600 60841984 60901400 61128704 61792640 62083840 62758150 63337456 69222400 69601600 70620160 70952960 71723600 72385664 73516690 74547200 76052480 76410880 77240800 77604800 77953792 79171820 80330432 86917120 87326720 88275200 88691200 89090048 90482080 91806208 95065600 95513600 96911360 97442240 98868224 98964775 99334144 100413040 102923366 108646400 109158400 111362560 112992256 113102600 113524736 114757760 117555200 117626704 121139200 121683968 121802800 122257408 123585280 124167680 125516300 126674912 138444800 139203200 141240320 141905920 143447200 144771328 147033380 152104960 152821760 154481600 155209600 155907584 158343640 160660864 173834240 176550400 177382400 178180096 180964160 183612416 183791725 190131200 191027200 193822720 194884480 197736448 197929550 198668288 200826080 205846732 217292800 218316800 222725120 225984512 226205200 227049472 229515520 235110400 235253408 242278400 243367936 243605600 247170560 248335360 251032600 253349824 257308415 278406400 282480640 283811840 286894400 289542656 294066760 304209920 305643520 308963200 310419200 311815168 316687280 321321728 353100800 354764800 356360192 361928320 367224832 367583450 380262400 382054400 389768960 395472896 395859100 397336576 401652160 411693464 434585600 436633600 445450240 451969024 452410400 459031040 470506816 484556800 487211200 494341120 496670720 502065200 506699648 514616830 556812800 564961280 567623680 573788800 579085312 588133520 608419840 611287040 617926400 620838400 623630336 633374560 642643456 706201600 709529600 712720384 723856640 734449664 735166900 760524800 764108800 779537920 790945792 791718200 794673152 803304320 823386928 869171200 890900480 904820800 918062080 941013632 969113600 974422400 988682240 993341440 1004130400 1013399296 1029233660 1113625600 1129922560 1135247360 1147577600 1158170624 1176267040 1216839680 1235852800 1241676800 1247260672 1266749120 1285286912 1286542075 1412403200 1419059200 1425440768 1447713280 1468899328 1470333800 1521049600 1528217600 1559075840 1581891584 1583436400 1589346304 1606608640 1646773856 1781800960 1809641600 1836124160 1882027264 1948844800 1977364480 1986682880 2008260800 2026798592 2058467320 2227251200 2259845120 2295155200 2316341248 2352534080 2471705600 2483353600 2494521344 2533498240 2570573824 2573084150 2824806400 2838118400 2895426560 2937798656 2940667600 3042099200 3056435200 3118151680 3163783168 3166872800 3213217280 3293547712 3563601920 3619283200 3672248320 3764054528 3897689600 3954728960 3973365760 4016521600 4053597184 4116934640 4454502400 4590310400 4632682496 4705068160 4943411200 4966707200 4989042688 5066996480 5141147648 5146168300 5649612800 5676236800 5790853120 5875597312 5881335200 6084198400 6236303360 6333745600 6426434560 6587095424 7127203840 7238566400 7344496640 7528109056 7795379200 7909457920 7946731520 8033043200 8107194368 8233869280 8909004800 9180620800 9265364992 9410136320 9886822400 9933414400 9978085376 10133992960 10282295296 10292336600 11299225600 11581706240 11762670400 12472606720 12667491200 12852869120 13174190848 14477132800 14688993280 15056218112 15590758400 15818915840 16066086400 16214388736 16467738560 17818009600 18361241600 18530729984 18820272640 19773644800 19866828800 20267985920 20564590592 20584673200 23163412480 23525340800 24945213440 25334982400 25705738240 26348381696 28954265600 29377986560 30112436224 31181516800 32132172800 32428777472 32935477120 35636019200 36722483200 37640545280 39547289600 39733657600 40535971840 41129181184 41169346400 46326824960 47050681600 49890426880 50669964800 51411476480 52696763392 57908531200 60224872448 62363033600 64264345600 64857554944 65870954240 73444966400 75281090560 79094579200 81071943680 82338692800 92653649920 94101363200 101339929600 102822952960 105393526784 115817062400 120449744896 124726067200 128528691200 129715109888 131741908480 146889932800 150562181120 162143887360 164677385600 188202726400 202679859200 205645905920 210787053568 231634124800 240899489792 249452134400 257057382400 263483816960 301124362240 324287774720 329354771200 376405452800 405359718400 421574107136 463268249600 514114764800 526967633920 602248724480 648575549440 658709542400 752810905600 810719436800 843148214272 1028229529600 1053935267840 1204497448960 1317419084800 1505621811200 1621438873600 1686296428544 2107870535680 2634838169600 3011243622400 3242877747200 4215741071360 5269676339200 6022487244800 8431482142720 10539352678400 21078705356800 42157410713600
- Sum of all divisors σ(n): 132663020585760
- Sum of proper divisors (its aliquot sum) s(n): 90505609872160
- 42157410713600 is an abundant number, because the sum of its proper divisors (90505609872160) is greater than itself. Its abundance is 48348199158560
Bases of 42157410713600
- Binary: 10011001010111100010010111110110000000000000002
- Hexadecimal: 0x2657897D8000
- Base-36: EXYUHV7CW
Squares and roots of 42157410713600
- 42157410713600 squared (421574107136002) is 1777247278075156061224960000
- 42157410713600 cubed (421574107136003) is 74924143441442022521477106243731456000000
-
The
square root of 42157410713600 is 6492873.8408812473 -
The
cube root of 42157410713600 is 34803.6380113525
Scales and comparisons
How big is 42157410713600?- 42,157,410,713,600 seconds is equal to 1,340,475 years, 13 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 42,157,410,713,600 would take you about three million, three hundred fifty-one thousand, one hundred eighty-eight 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 42157410713600 cubic inches would be around 2900.3 feet tall.
Recreational maths with 42157410713600
- 42157410713600 backwards is 00631701475124
- 42157410713600 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42157410713600's digits is 41
- More coming soon!
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The information we have on file for 42157410713600 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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