42053310668390400
42,053,310,668,390,400 is an even composite number composed of six prime numbers multiplied together.
42053310668390400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, seven hundred divisors.
Prime factorization of 42053310668390400:
214 × 34 × 52 × 192 × 89 × 39451
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 19 × 19 × 89 × 39451)See below for interesting mathematical facts about the number 42053310668390400 from the Numbermatics database.
Names of 42053310668390400
- Cardinal: 42053310668390400 can be written as Forty-two quadrillion, fifty-three trillion, three hundred ten billion, six hundred sixty-eight million, three hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 4.20533106683904 × 1016
Factors of 42053310668390400
Divisors of 42053310668390400
- Number of divisors d(n): 2700
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 81 89 90 95 96 100 108 114 120 128 135 144 150 152 160 162 171 178 180 190 192 200 216 225 228 240 256 267 270 285 288 300 304 320 324 342 356 360 361 380 384 400 405 432 445 450 456 475 480 512 513 534 540 570 576 600 608 640 648 675 684 712 720 722 760 768 800 801 810 855 864 890 900 912 950 960 1024 1026 1068 1080 1083 1140 1152 1200 1216 1280 1296 1335 1350 1368 1424 1425 1440 1444 1520 1536 1539 1600 1602 1620 1691 1710 1728 1780 1800 1805 1824 1900 1920 2025 2048 2052 2136 2160 2166 2225 2280 2304 2400 2403 2432 2560 2565 2592 2670 2700 2736 2848 2850 2880 2888 3040 3072 3078 3200 3204 3240 3249 3382 3420 3456 3560 3600 3610 3648 3800 3840 4005 4050 4096 4104 4272 4275 4320 4332 4450 4560 4608 4800 4806 4864 5073 5120 5130 5184 5340 5400 5415 5472 5696 5700 5760 5776 6080 6144 6156 6400 6408 6480 6498 6675 6764 6840 6912 7120 7200 7209 7220 7296 7600 7680 7695 8010 8100 8192 8208 8455 8544 8550 8640 8664 8900 9025 9120 9216 9600 9612 9728 9747 10146 10240 10260 10368 10680 10800 10830 10944 11392 11400 11520 11552 12015 12160 12288 12312 12800 12816 12825 12960 12996 13350 13528 13680 13824 14240 14400 14418 14440 14592 15200 15219 15360 15390 16020 16200 16245 16384 16416 16910 17088 17100 17280 17328 17800 18050 18240 18432 19200 19224 19456 19494 20025 20292 20480 20520 20736 21360 21600 21660 21888 22784 22800 23040 23104 24030 24320 24576 24624 25365 25600 25632 25650 25920 25992 26700 27056 27075 27360 27648 28480 28800 28836 28880 29184 29241 30400 30438 30720 30780 32040 32129 32400 32490 32832 33820 34176 34200 34560 34656 35600 36045 36100 36480 36864 38400 38448 38475 38912 38988 39451 40050 40584 40960 41040 41472 42275 42720 43200 43320 43776 45568 45600 45657 46080 46208 48060 48640 48735 49152 49248 50730 51200 51264 51300 51840 51984 53400 54112 54150 54720 55296 56960 57600 57672 57760 58368 58482 60075 60800 60876 61440 61560 64080 64258 64800 64980 65664 67640 68352 68400 69120 69312 71200 72090 72200 72960 73728 76095 76800 76896 76950 77824 77976 78902 80100 81168 81225 81920 82080 82944 84550 85440 86400 86640 87552 91136 91200 91314 92160 92416 96120 96387 97280 97470 98496 101460 102400 102528 102600 103680 103968 106800 108224 108300 109440 110592 113920 115200 115344 115520 116736 116964 118353 120150 121600 121752 122880 123120 126825 128160 128516 129600 129960 131328 135280 136704 136800 136971 138240 138624 142400 144180 144400 145920 146205 147456 152190 153600 153792 153900 155648 155952 157804 160200 160645 162336 162450 164160 165888 169100 170880 172800 173280 175104 180225 182272 182400 182628 184320 184832 192240 192774 194560 194940 196992 197255 202920 204800 205056 205200 207360 207936 213600 216448 216600 218880 221184 227840 228285 230400 230688 231040 233472 233928 236706 240300 243200 243504 243675 245760 246240 253650 256320 257032 259200 259920 262656 270560 273408 273600 273942 276480 277248 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364590361600 365046099552 369147741120 380256353700 384259052160 388303884288 388576569600 393757590528 404483212800 405606777280 409876322304 410164156800 410676861996 414481674240 426954502400 431448760320 432291433680 436296499200 437508433920 455043614400 456307624440 460535193600 461110862592 461434676400 480323815200 485379855360 486728132736 492196988160 497378009088 507008471600 512345402880 513346077495 517738512384 518102092800 525010120704 532981555200 539310950400 540364292100 546501763072 546885542400 547569149328 552642232320 570384530550 576388578240 582455826432 583344578560 590636385792 606724819200 608410165920 614814483456 615246235200 621722511360 640431753600 647173140480 648970843648 654444748800 656262650880 683127203840 684461436660 690802790400 691666293888 700013494272 719081267200 720485722800 728069783040 729180723200 730092199104 738295482240 760512707400 768518104320 776607768576 777153139200 787515181056 808966425600 811213554560 819752644608 820328313600 821353723992 828963348480 853909004800 855576795825 862897520640 864582867360 875016867840 910087228800 912615248880 921070387200 922221725184 922869352800 960647630400 970759710720 973456265472 984393976320 994756018176 1014016943200 1024690805760 1026692154990 1036204185600 1050020241408 1065963110400 1078621900800 1080728584200 1093003526144 1093771084800 1095138298656 1140769061100 1152777156480 1164911652864 1166689157120 1181272771584 1213449638400 1216820331840 1229628966912 1230492470400 1243445022720 1280863507200 1294346280960 1297941687296 1308889497600 1312525301760 1366254407680 1368922873320 1381605580800 1383332587776 1438162534400 1440971445600 1456139566080 1458361446400 1460184398208 1476590964480 1521025414800 1537036208640 1553215537152 1554306278400 1575030362112 1617932851200 1622427109120 1639505289216 1640656627200 1642707447984 1657926696960 1707818009600 1711153591650 1729165734720 1750033735680 1820174457600 1825230497760 1844443450368 1845738705600 1921295260800 1941519421440 1946912530944 1968787952640 2028033886400 2049381611520 2053384309980 2072408371200 2100040482816 2157243801600 2161457168400 2187542169600 2190276597312 2281538122200 2305554312960 2329823305728 2362545543168 2426899276800 2433640663680 2459257933824 2460984940800 2486890045440 2561727014400 2566730387475 2588692561920 2595883374592 2625050603520 2732508815360 2737845746640 2763211161600 2766665175552 2881942891200 2912279132160 2916722892800 2920368796416 2953181928960 3042050829600 3074072417280 3108612556800 3150060724224 3235865702400 3244854218240 3279010578432 3281313254400 3285414895968 3415636019200 3422307183300 3458331469440 3500067471360 3640348915200 3650460995520 3688886900736 3691477411200 3842590521600 3883038842880 3893825061888 3937575905280 4056067772800 4098763223040 4106768619960 4144816742400 4314487603200 4322914336800 4375084339200 4380553194624 4563076244400 4611108625920 4659646611456 4725091086336 4853798553600 4867281327360 4918515867648 4921969881600 4973780090880 5123454028800 5133460774950 5191766749184 5250101207040 5465017630720 5475691493280 5533330351104 5763885782400 5824558264320 5833445785600 5840737592832 5906363857920 6084101659200 6148144834560 6217225113600 6300121448448 6471731404800 6489708436480 6562626508800 6570829791936 6831272038400 6844614366600 6916662938880 7280697830400 7300921991040 7377773801472 7382954822400 7685181043200 7766077685760 7787650123776 7875151810560 8112135545600 8197526446080 8213537239920 8289633484800 8645828673600 8750168678400 8761106389248 9126152488800 9222217251840 9450182172672 9707597107200 9734562654720 9837031735296 9843939763200 10246908057600 10266921549900 10383533498368 10500202414080 10951382986560 11066660702208 11527771564800 11649116528640 11681475185664 11812727715840 12168203318400 12296289669120 12434450227200 12943462809600 12979416872960 13125253017600 13141659583872 13662544076800 13689228733200 13833325877760 14561395660800 14601843982080 14755547602944 14765909644800 15370362086400 15575300247552 15750303621120 16224271091200 16395052892160 16427074479840 17291657347200 17500337356800 17522212778496 18252304977600 18444434503680 18900364345344 19415194214400 19469125309440 19687879526400 20493816115200 20533843099800 20767066996736 21902765973120 22133321404416 23055543129600 23298233057280 23362950371328 23625455431680 24336406636800 24592579338240 24868900454400 25958833745920 26250506035200 26283319167744 27325088153600 27378457466400 27666651755520 29122791321600 29203687964160 29511095205888 29531819289600 30740724172800 31150600495104 31500607242240 32448542182400 32854148959680 34583314694400 35044425556992 36504609955200 36888869007360 38830388428800 38938250618880 39375759052800 40987632230400 41067686199600 43805531946240 44266642808832 46111086259200 46725900742656 47250910863360 48672813273600 49185158676480 51917667491840 52501012070400 52566638335488 54756914932800 55333303511040 58245582643200 58407375928320 59063638579200 61481448345600 62301200990208 64897084364800 65708297919360 69166629388800 70088851113984 73009219910400 73777738014720 77876501237760 78751518105600 81975264460800 82135372399200 87611063892480 88533285617664 92222172518400 93451801485312 94501821726720 97345626547200 103835334983680 105133276670976 109513829865600 110666607022080 116491165286400 116814751856640 118127277158400 122962896691200 129794168729600 131416595838720 138333258777600 140177702227968 146018439820800 147555476029440 155753002475520 157503036211200 164270744798400 175222127784960 184444345036800 186903602970624 194691253094400 210266553341952 219027659731200 221333214044160 233629503713280 236254554316800 245925793382400 259588337459200 262833191677440 276666517555200 280355404455936 292036879641600 311506004951040 328541489596800 350444255569920 368888690073600 389382506188800 420533106683904 438055319462400 442666428088320 467259007426560 472509108633600 519176674918400 525666383354880 553333035110400 560710808911872 584073759283200 657082979193600 700888511139840 737777380147200 778765012377600 841066213367808 876110638924800 934518014853120 1051332766709760 1106666070220800 1168147518566400 1314165958387200 1401777022279680 1557530024755200 1682132426735616 1752221277849600 2102665533419520 2213332140441600 2336295037132800 2628331916774400 2803554044559360 3504442555699200 4205331066839040 4672590074265600 5256663833548800 7008885111398400 8410662133678080 10513327667097600 14017770222796800 21026655334195200 42053310668390400
- Sum of all divisors σ(n): 166272434211474360
- Sum of proper divisors (its aliquot sum) s(n): 124219123543083960
- 42053310668390400 is an abundant number, because the sum of its proper divisors (124219123543083960) is greater than itself. Its abundance is 82165812874693560
Bases of 42053310668390400
- Binary: 100101010110011101000011011001000000010011000000000000002
- Hexadecimal: 0x9567436404C000
- Base-36: BI2NK7VNK00
Squares and roots of 42053310668390400
- 42053310668390400 squared (420533106683904002) is 1768480938172157831193726812160000
- 42053310668390400 cubed (420533106683904003) is 74370478304080268301381305341783791070347264000000
-
The
square root of 42053310668390400 is 205069038.7854548851 -
The
cube root of 42053310668390400 is 347749.6731827373
Scales and comparisons
How big is 42053310668390400?- 42,053,310,668,390,400 seconds is equal to 1,337,165,199 years, 42 weeks, 6 days.
-
To count from 1 to 42,053,310,668,390,400 would take you about four billion, eleven million, four hundred ninety-five thousand, five hundred ninety-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 42053310668390400 cubic inches would be around 28979.1 feet tall.
Recreational maths with 42053310668390400
- 42053310668390400 backwards is 00409386601335024
- 42053310668390400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42053310668390400's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 42053310668390400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 42053310668390400 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/42053310668390400/
Chicago style:
Numbermatics. 2024. "Number 42053310668390400 - Facts about the integer". https://numbermatics.com/n/42053310668390400/
The information we have on file for 42053310668390400 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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