138634698424320
138,634,698,424,320 is an even composite number composed of five prime numbers multiplied together.
What does the number 138634698424320 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2736 divisors.
138634698424320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, seven hundred thirty-six divisors.
Prime factorization of 138634698424320:
218 × 38 × 5 × 73 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 47)See below for interesting mathematical facts about the number 138634698424320 from the Numbermatics database.
Names of 138634698424320
- Cardinal: 138634698424320 can be written as One hundred thirty-eight trillion, six hundred thirty-four billion, six hundred ninety-eight million, four hundred twenty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3863469842432 × 1014
Factors of 138634698424320
Divisors of 138634698424320
- Number of divisors d(n): 2736
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 47 48 49 54 56 60 63 64 70 72 80 81 84 90 94 96 98 105 108 112 120 126 128 135 140 141 144 147 160 162 168 180 188 189 192 196 210 216 224 235 240 243 245 252 256 270 280 282 288 294 315 320 324 329 336 343 360 376 378 384 392 405 420 423 432 441 448 470 480 486 490 504 512 540 560 564 567 576 588 630 640 648 658 672 686 705 720 729 735 752 756 768 784 810 840 846 864 882 896 940 945 960 972 980 987 1008 1024 1029 1080 1120 1128 1134 1152 1176 1215 1260 1269 1280 1296 1316 1323 1344 1372 1410 1440 1458 1470 1504 1512 1536 1568 1620 1645 1680 1692 1701 1715 1728 1764 1792 1880 1890 1920 1944 1960 1974 2016 2048 2058 2115 2160 2187 2205 2240 2256 2268 2303 2304 2352 2430 2520 2538 2560 2592 2632 2646 2688 2744 2820 2835 2880 2916 2940 2961 3008 3024 3072 3087 3136 3240 3290 3360 3384 3402 3430 3456 3528 3584 3645 3760 3780 3807 3840 3888 3920 3948 3969 4032 4096 4116 4230 4320 4374 4410 4480 4512 4536 4606 4608 4704 4860 4935 5040 5076 5103 5120 5145 5184 5264 5292 5376 5488 5640 5670 5760 5832 5880 5922 6016 6048 6144 6174 6272 6345 6480 6561 6580 6615 6720 6768 6804 6860 6909 6912 7056 7168 7290 7520 7560 7614 7680 7776 7840 7896 7938 8064 8192 8232 8460 8505 8640 8748 8820 8883 8960 9024 9072 9212 9216 9261 9408 9720 9870 10080 10152 10206 10240 10290 10368 10528 10584 10752 10935 10976 11280 11340 11421 11515 11520 11664 11760 11844 11907 12032 12096 12288 12348 12544 12690 12960 13122 13160 13230 13440 13536 13608 13720 13818 13824 14112 14336 14580 14805 15040 15120 15228 15309 15360 15435 15552 15680 15792 15876 16121 16128 16384 16464 16920 17010 17280 17496 17640 17766 17920 18048 18144 18424 18432 18522 18816 19035 19440 19740 19845 20160 20304 20412 20480 20580 20727 20736 21056 21168 21504 21870 21952 22560 22680 22842 23030 23040 23328 23520 23688 23814 24064 24192 24576 24696 25088 25380 25515 25920 26244 26320 26460 26649 26880 27072 27216 27440 27636 27648 27783 28224 28672 29160 29610 30080 30240 30456 30618 30720 30870 31104 31360 31584 31752 32242 32256 32768 32805 32928 33840 34020 34263 34545 34560 34992 35280 35532 35721 35840 36096 36288 36848 36864 37044 37632 38070 38880 39480 39690 40320 40608 40824 40960 41160 41454 41472 42112 42336 43008 43740 43904 44415 45120 45360 45684 45927 46060 46080 46305 46656 47040 47376 47628 48128 48363 48384 49152 49392 50176 50760 51030 51840 52488 52640 52920 53298 53760 54144 54432 54880 55272 55296 55566 56448 57105 57344 58320 59220 59535 60160 60480 60912 61236 61440 61740 62181 62208 62720 63168 63504 64484 64512 65536 65610 65856 67680 68040 68526 69090 69120 69984 70560 71064 71442 71680 72192 72576 73696 73728 74088 75264 76140 76545 77760 78960 79380 79947 80605 80640 81216 81648 81920 82320 82908 82944 83349 84224 84672 86016 87480 87808 88830 90240 90720 91368 91854 92120 92160 92610 93312 94080 94752 95256 96256 96726 96768 98304 98784 100352 101520 102060 102789 103635 103680 104976 105280 105840 106596 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20057103360 20065812480 20209139712 20375470080 20483850240 20630163456 20957626368 21069103104 21130117120 21394243584 21849440256 22103746560 22454599680 22564241280 22922403840 23044331520 23410114560 23577329664 23771381760 24068524032 24450564096 24580620288 25261424640 25787704320 26197032960 26336378880 26742804480 26945519616 27077089536 27167293440 27311800320 27506884608 28092137472 28525658112 29471662080 30085655040 30098718720 30563205120 30725775360 30945245184 31436439552 31695175680 32091365376 32774160384 33681899520 33846361920 34383605760 34929377280 35115171840 35365994496 35657072640 36102786048 36415733760 36675846144 36870930432 38034210816 38681556480 39295549440 40114206720 40418279424 40750940160 40967700480 41260326912 42138206208 42788487168 44207493120 44909199360 45128482560 45844807680 46088663040 46820229120 47154659328 47542763520 48137048064 48901128192 49161240576 50522849280 51575408640 52394065920 52672757760 53485608960 54154179072 54623600640 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213942435840 216616716288 220055076864 235773296640 240685240320 244505640960 245806202880 247561961472 256730923008 270770895360 275068846080 282927955968 285256581120 288822288384 294967443456 309452451840 314364395520 320913653760 327741603840 330082615296 342307897344 353659944960 361027860480 366758461440 368709304320 385096384512 404182794240 412603269120 421382062080 427884871680 433233432576 440110153728 471546593280 481370480640 491612405760 495123922944 513461846016 541541790720 550137692160 565855911936 570513162240 577644576768 589934886912 618904903680 641827307520 660165230592 707319889920 722055720960 733516922880 737418608640 770192769024 825206538240 855769743360 866466865152 943093186560 962740961280 983224811520 990247845888 1026923692032 1083083581440 1100275384320 1155289153536 1237809807360 1283654615040 1320330461184 1414639779840 1444111441920 1474837217280 1540385538048 1650413076480 1711539486720 1732933730304 1925481922560 1980495691776 2166167162880 2200550768640 2310578307072 2475619614720 2567309230080 2829279559680 2888222883840 2949674434560 3080771076096 3300826152960 3465867460608 3850963845120 3960991383552 4332334325760 4621156614144 4951239229440 5134618460160 5776445767680 6601652305920 6931734921216 7701927690240 8664668651520 9242313228288 9902478458880 11552891535360 13863469842432 15403855380480 17329337303040 19804956917760 23105783070720 27726939684864 34658674606080 46211566141440 69317349212160 138634698424320
- Sum of all divisors σ(n): 594375363878400
- Sum of proper divisors (its aliquot sum) s(n): 455740665454080
- 138634698424320 is an abundant number, because the sum of its proper divisors (455740665454080) is greater than itself. Its abundance is 317105967029760
Bases of 138634698424320
- Binary: 111111000010110011001111111010000000000000000002
- Hexadecimal: 0x7E1667F40000
- Base-36: 1D53WG0000
Squares and roots of 138634698424320
- 138634698424320 squared (1386346984243202) is 19219579607202154290767462400
- 138634698424320 cubed (1386346984243203) is 2664500622686681303977969446708804845568000
-
The
square root of 138634698424320 is 11774323.6928632127 -
The
cube root of 138634698424320 is 51755.5959843463
Scales and comparisons
How big is 138634698424320?- 138,634,698,424,320 seconds is equal to 4,408,154 years, 30 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 138,634,698,424,320 would take you about eleven million, twenty thousand, three hundred eighty-six 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 138634698424320 cubic inches would be around 4313 feet tall.
Recreational maths with 138634698424320
- 138634698424320 backwards is 023424896436831
- 138634698424320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138634698424320's digits is 63
- More coming soon!
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"Number 138634698424320 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 138634698424320 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/138634698424320/
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The information we have on file for 138634698424320 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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