42434230416561233200
42,434,230,416,561,233,200 is an even composite number composed of nine prime numbers multiplied together.
What does the number 42434230416561233200 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1920 divisors.
42434230416561233200 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 42434230416561233200:
24 × 52 × 23 × 31 × 41 × 89 × 103 × 4733 × 83641
(2 × 2 × 2 × 2 × 5 × 5 × 23 × 31 × 41 × 89 × 103 × 4733 × 83641)See below for interesting mathematical facts about the number 42434230416561233200 from the Numbermatics database.
Names of 42434230416561233200
- Cardinal: 42434230416561233200 can be written as Forty-two quintillion, four hundred thirty-four quadrillion, two hundred thirty trillion, four hundred sixteen billion, five hundred sixty-one million, two hundred thirty-three thousand, two hundred.
Scientific notation
- Scientific notation: 4.24342304165612332 × 1019
Factors of 42434230416561233200
Divisors of 42434230416561233200
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 31 40 41 46 50 62 80 82 89 92 100 103 115 124 155 164 178 184 200 205 206 230 248 310 328 356 368 400 410 412 445 460 496 515 575 620 656 712 713 775 820 824 890 920 943 1025 1030 1150 1240 1271 1424 1426 1550 1640 1648 1780 1840 1886 2047 2050 2060 2225 2300 2369 2480 2542 2575 2759 2852 3100 3193 3280 3560 3565 3649 3772 4094 4100 4120 4223 4450 4600 4715 4733 4738 5084 5150 5518 5704 6200 6355 6386 7120 7130 7298 7544 8188 8200 8240 8446 8900 9167 9200 9430 9466 9476 10168 10235 10300 11036 11408 11845 12400 12710 12772 13795 14260 14596 15088 15965 16376 16400 16892 17800 17825 18245 18334 18860 18932 18952 20336 20470 20600 21115 22072 23575 23665 23690 25420 25544 27590 28520 29192 29233 31775 31930 32752 33784 35600 35650 36490 36668 37720 37864 37904 40940 41200 42230 44144 45835 47150 47330 47380 50840 51088 51175 55180 57040 58384 58466 59225 63457 63550 63860 67568 68975 71300 72980 73336 73439 75440 75728 79825 81880 83641 83927 84460 91225 91670 94300 94660 94760 97129 101680 102350 105575 108859 110360 113119 116932 118325 118450 126914 127100 127720 130913 137950 142600 145960 146165 146672 146723 146878 159650 163760 167282 167854 168920 182450 183340 188600 189320 189520 194053 194258 204700 210841 211150 217718 220720 226238 229175 233864 236650 236900 253828 254200 255440 261826 275900 284177 285200 291920 292330 293446 293756 317285 319300 334564 335708 337840 364900 366680 367195 375847 377200 378640 388106 388516 409400 418205 419635 421237 421682 422300 435436 452476 458350 467728 473300 473800 485645 487499 507656 508400 523652 544295 551800 565595 568354 584660 586892 587512 634570 638600 654565 669128 671416 729800 730825 733360 733615 734390 751694 776212 777032 818800 836410 839270 842474 843364 844600 870872 904952 916700 946600 947600 970265 971290 974998 1015312 1047304 1054205 1088590 1103600 1131190 1136708 1169320 1173784 1175024 1269140 1277200 1309130 1338256 1342832 1420885 1459600 1461650 1467230 1468780 1503388 1552424 1554064 1586425 1672820 1678540 1684948 1686728 1689200 1741744 1809904 1833400 1835975 1879235 1893200 1923743 1940530 1942580 1949996 2091025 2094608 2098175 2106185 2108410 2177180 2262380 2273416 2338640 2347568 2428225 2437495 2538280 2592871 2601737 2618260 2721475 2827975 2841770 2923300 2934460 2937560 3006776 3010999 3104848 3172850 3272825 3345640 3357080 3369896 3373456 3374629 3429281 3666800 3668075 3671950 3758470 3847486 3881060 3885160 3899992 4182050 4196350 4212370 4216820 4354360 4463219 4524760 4546832 4851325 4856450 4874990 5076560 5185742 5203474 5236520 5271025 5442950 5655950 5683540 5846600 5868920 5875120 6013552 6015643 6021998 6345700 6536071 6545650 6691280 6714160 6739792 6749258 6858562 7104425 7336150 7343900 7444049 7516940 7694972 7762120 7770320 7799984 8364100 8392700 8424740 8433640 8615023 8644481 8708720 8926438 9049520 9396175 9618715 9688451 9702650 9712900 9749980 10371484 10406948 10473040 10530925 10542050 10885900 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1295622570119725 1328976837349240 1335459651189968 1451586577380400 1453625322573350 1487876241814910 1538029373561480 1661221046686550 1669324563987460 1791229650340280 1793121927596080 1799967355951696 1922536716951850 2009672290625680 2059914097891322 2072996112191560 2086655704984325 2239037062925350 2241402409495100 2249959194939620 2314510222349800 2325800516117360 2380601986903856 2383945529020294 2512090363282100 2587453074180563 2591245140239450 2657953674698480 2812448993674525 2907250645146700 2975752483629820 3076058747122960 3322442093373100 3338649127974920 3422115356174293 3582459300680560 3719690604537275 3845073433903700 4119828195782644 4145992224383120 4173311409968650 4478074125850700 4482804818990200 4499918389879240 4612416349626221 4629020444699600 4767891058040588 5024180726564200 5149785244728305 5174906148361126 5182490280478900 5624897987349050 5814501290293400 5951504967259640 5959863822550735 6644884186746200 6677298255949840 6844230712348586 7439381209074550 7690146867807400 8239656391565288 8346622819937300 8956148251701400 8965609637980400 8999836779758480 9224832699252442 9535782116081176 10048361453128400 10299570489456610 10349812296722252 10364980560957800 11249795974698100 11629002580586800 11903009934519280 11919727645101470 12937265370902815 13289768373492400 13688461424697172 14878762418149100 15380293735614800 16479312783130576 16693245639874600 17110576780871465 17912296503402800 18449665398504884 19071564232162352 20599140978913220 20699624593444504 20729961121915600 22499591949396200 23062081748131105 23839455290202940 25748926223641525 25874530741805630 27376922849394344 29757524836298200 29799319112753675 33386491279749200 34221153561742930 36899330797009768 41198281957826440 41399249186889008 44999183898792400 46124163496262210 47678910580405880 51497852447283050 51749061483611260 54753845698788688 59515049672596400 59598638225507350 64686326854514075 68442307123485860 73798661594019536 82396563915652880 85552883904357325 92248326992524420 95357821160811760 102995704894566100 103498122967222520 106085576041403083 115310408740655525 119197276451014700 129372653709028150 136884614246971720 171105767808714650 184496653985048840 205991409789132200 206996245934445040 212171152082806166 230620817481311050 238394552902029400 258745307418056300 273769228493943440 342211535617429300 368993307970097680 411982819578264400 424342304165612332 461241634962622100 476789105804058800 517490614836112600 530427880207015415 684423071234858600 848684608331224664 922483269925244200 1034981229672225200 1060855760414030830 1368846142469717200 1697369216662449328 1844966539850488400 2121711520828061660 2652139401035077075 4243423041656123320 5304278802070154150 8486846083312246640 10608557604140308300 21217115208280616600 42434230416561233200
- Sum of all divisors σ(n): 114884756821445345280
- Sum of proper divisors (its aliquot sum) s(n): 72450526404884112080
- 42434230416561233200 is an abundant number, because the sum of its proper divisors (72450526404884112080) is greater than itself. Its abundance is 30016295988322878880
Bases of 42434230416561233200
- Binary: 1001001100111001001010101110111100110110000011010101011101001100002
- Hexadecimal: 0x24CE4ABBCD8355D30
- Base-36: 8YE8F9RDUSF1S
Squares and roots of 42434230416561233200
- 42434230416561233200 squared (424342304165612332002) is 1800663911045810530908133005104782240000
- 42434230416561233200 cubed (424342304165612332003) is 76409787304104243968955761257846104188145185111858368000000
-
The
square root of 42434230416561233200 is 6514156155.3712567721 -
The
cube root of 42434230416561233200 is 3487964.9336084959
Scales and comparisons
How big is 42434230416561233200?- 42,434,230,416,561,233,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,434,230,416,561,233,200 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42434230416561233200 cubic inches would be around 290663.7 feet tall.
Recreational maths with 42434230416561233200
- 42434230416561233200 backwards is 00233216561403243424
- The number of decimal digits it has is: 20
- The sum of 42434230416561233200's digits is 55
- More coming soon!
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"Number 42434230416561233200 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 42434230416561233200 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/42434230416561233200/
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The information we have on file for 42434230416561233200 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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