138842429107200
138,842,429,107,200 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138842429107200 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3168 divisors.
138842429107200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 138842429107200:
210 × 3 × 52 × 7 × 13 × 19 × 612 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 19 × 61 × 61 × 281)See below for interesting mathematical facts about the number 138842429107200 from the Numbermatics database.
Names of 138842429107200
- Cardinal: 138842429107200 can be written as One hundred thirty-eight trillion, eight hundred forty-two billion, four hundred twenty-nine million, one hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.388424291072 × 1014
Factors of 138842429107200
Divisors of 138842429107200
- Number of divisors d(n): 3168
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 19 20 21 24 25 26 28 30 32 35 38 39 40 42 48 50 52 56 57 60 61 64 65 70 75 76 78 80 84 91 95 96 100 104 105 112 114 120 122 128 130 133 140 150 152 156 160 168 175 182 183 190 192 195 200 208 210 224 228 240 244 247 256 260 266 273 280 281 285 300 304 305 312 320 325 336 350 364 366 380 384 390 399 400 416 420 427 448 455 456 475 480 488 494 512 520 525 532 546 560 562 570 600 608 610 624 640 650 665 672 700 728 732 741 760 768 780 793 798 800 832 840 843 854 896 910 912 915 950 960 975 976 988 1024 1040 1050 1064 1092 1120 1124 1140 1159 1200 1216 1220 1235 1248 1280 1281 1300 1330 1344 1365 1400 1405 1425 1456 1464 1482 1520 1525 1536 1560 1586 1596 1600 1664 1680 1686 1708 1729 1792 1820 1824 1830 1900 1920 1950 1952 1967 1976 1995 2080 2100 2128 2135 2184 2240 2248 2275 2280 2318 2379 2400 2432 2440 2470 2496 2560 2562 2600 2660 2688 2730 2800 2810 2850 2912 2928 2964 3040 3050 3072 3120 3172 3192 3200 3325 3328 3360 3372 3416 3458 3477 3584 3640 3648 3653 3660 3705 3721 3800 3840 3900 3904 3934 3952 3965 3990 4160 4200 4215 4256 4270 4368 4480 4496 4550 4560 4575 4636 4758 4800 4864 4880 4940 4992 5120 5124 5187 5200 5320 5339 5376 5460 5551 5600 5620 5700 5795 5824 5856 5901 5928 6080 6100 6175 6240 6344 6384 6400 6405 6650 6656 6720 6744 6825 6832 6916 6954 7025 7168 7280 7296 7306 7320 7410 7442 7600 7680 7800 7808 7868 7904 7930 7980 8113 8320 8400 8430 8512 8540 8645 8736 8960 8992 9100 9120 9150 9272 9516 9600 9728 9760 9835 9880 9975 9984 10248 10374 10400 10640 10675 10678 10752 10920 10959 11102 11163 11200 11240 11400 11590 11648 11712 11802 11856 11895 12160 12200 12350 12480 12688 12768 12800 12810 13300 13312 13440 13488 13650 13664 13832 13908 14050 14560 14592 14612 14640 14820 14884 15067 15200 15360 15600 15616 15736 15808 15860 15960 16017 16226 16640 16653 16800 16860 17024 17080 17141 17290 17385 17472 17920 17984 18200 18240 18265 18300 18525 18544 18605 19032 19200 19456 19520 19670 19760 19825 19950 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7462640640 7487188800 7494867968 7587017984 7601556480 7611975280 7628704896 7720330800 7747903410 7946567600 7986334720 8030215680 8100019200 8128947840 8155687800 8235019520 8264430304 8337382400 8343895980 8556787200 8668441600 8699400320 8754251520 8783048400 8823235200 8891036700 8900155712 9039220645 9134370336 9215001600 9328300800 9368584960 9483772480 9501945600 9514969100 9535881120 9882023424 9982918400 10037769600 10161184800 10171606528 10293774400 10330537880 10429869975 10439280384 10838597120 10847064774 10874250400 10942814400 11125194640 11242301952 11380526976 11417962920 11672335360 11710731200 11764313600 11854715600 11919851400 11979502080 12179160448 12352529280 12396645456 12437734400 12506073600 12669260800 12714508160 12913172350 13002662400 13006316544 13049100480 13350233568 13383692800 13548246400 13906493300 13919040512 14052877440 14117176320 14225658720 14272453650 14462753032 14590419200 14974377600 15174035968 15223950560 15257409792 15440661600 15495806820 15893135200 16060431360 16257895680 16311375600 16470039040 16528860608 16687791960 17113574400 17398800640 17508503040 17566096800 17646470400 17782073400 17800311424 18078441290 18268740672 18656601600 18737169920 18967544960 19003891200 19029938200 19071762240 19369758525 19764046848 19965836800 20075539200 20322369600 20343213056 20587548800 20661075760 20859739950 20878560768 21677194240 21694129548 21748500800 21885628800 22250389280 22484603904 22761053952 22835925840 23421462400 23528627200 23709431200 23839702800 23959004160 24358320896 24705058560 24793290912 25012147200 25429016320 25826344700 26005324800 26098200960 26700467136 26767385600 27096492800 27117661935 27812986600 28105754880 28451317440 28544907300 28925506064 29180838400 29948755200 30348071936 30447901120 30514819584 30881323200 30991613640 31786270400 32515791360 32622751200 32940078080 33057721216 33375583920 34797601280 35017006080 35132193600 35292940800 35564146800 35600622848 36156882580 36537481344 37313203200 37474339840 37935089920 38007782400 38059876400 38143524480 38739517050 39931673600 40151078400 40644739200 41175097600 41322151520 41719479900 41757121536 43388259096 43497001600 43771257600 44500778560 45196103225 45522107904 45671851680 46842924800 47418862400 47679405600 48716641792 49410117120 49586581824 50858032640 51652689400 52196401920 53400934272 54192985600 54235323870 55625973200 56211509760 56902634880 57089814600 57851012128 58361676800 59897510400 60895802240 61029639168 61762646400 61983227280 63572540800 65031582720 65245502400 66115442432 66751167840 69595202560 70264387200 70585881600 71128293600 71201245696 72313765160 73074962688 75870179840 76119752800 76287048960 77479034100 80302156800 81289478400 82350195200 82644303040 83438959800 86776518192 86994003200 87542515200 89001557120 90392206450 91044215808 91343703360 93685849600 94837724800 95358811200 97433283584 98820234240 99173163648 101716065280 103305378800 104392803840 106801868544 108385971200 108470647740 111251946400 112423019520 113805269760 114179629200 115702024256 119795020800 121791604480 123525292800 123966454560 127145081600 130491004800 132230884864 133502335680 135588309675 140528774400 142256587200 142402491392 144627530320 146149925376 151740359680 152239505600 152574097920 154958068200 162578956800 164700390400 165288606080 166877919600 173553036384 173988006400 175085030400 178003114240 180784412900 182687406720 187371699200 189675449600 190717622400 198346327296 206610757600 208785607680 213603737088 216941295480 222503892800 227610539520 228359258400 231404048512 243583208960 247050585600 247932909120 254290163200 260982009600 264461769728 267004671360 271176619350 281057548800 284513174400 289255060640 292299850752 304479011200 305148195840 309916136400 325157913600 330577212160 333755839200 347106072768 347976012800 356006228480 361568825800 365374813440 379350899200 381435244800 396692654592 413221515200 427207474176 433882590960 445007785600 455221079040 456718516800 462808097024 487166417920 494101171200 495865818240 508580326400 521964019200 534009342720 542353238700 562115097600 569026348800 578510121280 608958022400 619832272800 661154424320 667511678400 694212145536 712012456960 723137651600 730749626880 758701798400 762870489600 793385309184 826443030400 867765181920 890015571200 913437033600 925616194048 991731636480 1043928038400 1068018685440 1084706477400 1138052697600 1157020242560 1217916044800 1239664545600 1322308848640 1335023356800 1388424291072 1446275303200 1461499253760 1525740979200 1652886060800 1735530363840 1780031142400 1826874067200 1851232388096 1983463272960 2136037370880 2169412954800 2276105395200 2314040485120 2435832089600 2479329091200 2670046713600 2776848582144 2892550606400 3305772121600 3471060727680 3560062284800 3653748134400 3966926545920 4338825909600 4628080970240 4958658182400 5340093427200 5553697164288 5785101212800 6611544243200 6942121455360 7307496268800 8677651819200 9256161940480 9917316364800 10680186854400 11570202425600 13884242910720 17355303638400 19834632729600 23140404851200 27768485821440 34710607276800 46280809702400 69421214553600 138842429107200
- Sum of all divisors σ(n): 606558922744320
- Sum of proper divisors (its aliquot sum) s(n): 467716493637120
- 138842429107200 is an abundant number, because the sum of its proper divisors (467716493637120) is greater than itself. Its abundance is 328874064529920
Bases of 138842429107200
- Binary: 111111001000110110001011010101010101100000000002
- Hexadecimal: 0x7E46C5AAAC00
- Base-36: 1D7RBXHGQO
Squares and roots of 138842429107200
- 138842429107200 squared (1388424291072002) is 19277220120387857789091840000
- 138842429107200 cubed (1388424291072003) is 2676496067948840594449659124670005248000000
-
The
square root of 138842429107200 is 11783141.7333069537 -
The
cube root of 138842429107200 is 51781.4333348177
Scales and comparisons
How big is 138842429107200?- 138,842,429,107,200 seconds is equal to 4,414,759 years, 40 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 138,842,429,107,200 would take you about eleven million, thirty-six thousand, eight 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 138842429107200 cubic inches would be around 4315.1 feet tall.
Recreational maths with 138842429107200
- 138842429107200 backwards is 002701924248831
- The number of decimal digits it has is: 15
- The sum of 138842429107200's digits is 51
- More coming soon!
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Cite this page
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"Number 138842429107200 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138842429107200 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138842429107200/
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The information we have on file for 138842429107200 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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