138514318374432
138,514,318,374,432 is an even composite number composed of eight prime numbers multiplied together.
138514318374432 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138514318374432:
25 × 3 × 72 × 11 × 132 × 37 × 79 × 5419
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 13 × 13 × 37 × 79 × 5419)See below for interesting mathematical facts about the number 138514318374432 from the Numbermatics database.
Names of 138514318374432
- Cardinal: 138514318374432 can be written as One hundred thirty-eight trillion, five hundred fourteen billion, three hundred eighteen million, three hundred seventy-four thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.38514318374432 × 1014
Factors of 138514318374432
Divisors of 138514318374432
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 37 39 42 44 48 49 52 56 66 74 77 78 79 84 88 91 96 98 104 111 112 132 143 147 148 154 156 158 168 169 176 182 196 208 222 224 231 237 259 264 273 286 294 296 308 312 316 336 338 352 364 392 407 416 429 444 462 474 481 507 518 528 539 546 553 572 588 592 616 624 632 637 672 676 728 777 784 814 858 869 888 924 948 962 1001 1014 1027 1036 1056 1078 1092 1106 1144 1176 1183 1184 1221 1232 1248 1264 1274 1352 1443 1456 1554 1568 1617 1628 1659 1716 1738 1776 1813 1848 1859 1896 1911 1924 2002 2028 2054 2072 2156 2184 2212 2288 2352 2366 2442 2464 2528 2548 2607 2704 2849 2886 2912 2923 3003 3081 3108 3234 3256 3318 3367 3432 3476 3549 3552 3626 3696 3718 3792 3822 3848 3871 4004 4056 4108 4144 4312 4368 4424 4576 4704 4732 4884 5096 5214 5291 5408 5419 5439 5577 5698 5772 5846 6006 6083 6162 6216 6253 6468 6512 6636 6734 6864 6952 7007 7098 7189 7252 7392 7436 7584 7644 7696 7742 8008 8112 8216 8281 8288 8547 8624 8736 8769 8848 9464 9768 10101 10192 10428 10582 10838 10878 11154 11297 11396 11544 11613 11692 12012 12166 12324 12432 12506 12936 13013 13024 13272 13351 13468 13728 13904 14014 14196 14378 14504 14872 15288 15392 15484 15873 16016 16224 16257 16432 16562 17094 17248 17538 17696 18249 18759 18928 19536 19943 20202 20384 20461 20856 21021 21164 21567 21676 21756 22308 22594 22792 23088 23226 23384 23569 24024 24332 24648 24843 24864 25012 25872 26026 26544 26702 26936 27808 28028 28392 28756 29008 29744 30576 30968 31746 32032 32153 32514 32864 33124 33891 34188 35076 36498 37037 37518 37856 37933 37999 39039 39072 39886 40053 40404 40922 41712 42042 42328 42581 43134 43352 43512 43771 44616 45188 45584 46176 46452 46768 47138 48048 48664 49296 49686 50024 50323 51744 52052 53088 53404 53872 56056 56784 57512 58016 59488 59609 59829 61152 61383 61936 63492 64306 65028 66248 67782 68376 68783 70152 70447 70707 72996 74074 75036 75866 75998 78078 79079 79772 80106 80808 81844 83424 84084 84656 85162 86268 86704 87024 87542 89232 90376 91091 91168 92904 93457 93536 94276 96096 96459 97328 98592 99372 100048 100646 104104 106808 107744 111111 112112 113568 113799 113997 115024 119218 119658 122766 123872 126984 127743 128612 130056 131313 132496 135564 136752 137566 140304 140894 141414 143227 145992 146861 148148 150072 150969 151732 151996 156156 158158 159544 160212 161616 163688 168168 169312 170324 172536 173408 174048 175084 178464 178827 180752 182182 185808 186914 188552 192918 194656 198744 200096 200503 201292 206349 208208 211341 213616 222222 224224 225071 227598 227994 230048 237237 238436 239316 245532 253968 255486 257224 259259 260112 262626 264992 265531 265993 271128 273273 273504 275132 280371 280608 281788 282828 286454 291984 293722 296296 300144 301938 303464 303992 306397 312312 316316 319088 320424 323232 327376 336336 340648 345072 350168 357654 361504 364364 371616 373828 377104 385836 397488 401006 402584 412698 416416 417263 417989 422682 427232 428101 429681 440583 444444 450142 455196 455988 474474 476872 478632 481481 491064 493129 493987 507936 510972 514448 518518 520224 525252 531062 531986 542256 546546 550264 553553 560742 563576 565656 572908 583968 587444 592592 600288 601509 603876 606928 607984 612794 624624 632632 638176 640848 654199 654752 672672 675213 681296 690144 700336 715308 728728 747656 754208 771672 774917 777777 794976 796593 797979 802012 805168 825396 834526 835978 845364 856202 859362 881166 888888 900284 910392 911976 915811 919191 948948 953744 957264 962962 982128 986258 987974 1021944 1028027 1028896 1037036 1050504 1062124 1063972 1084512 1093092 1100528 1107106 1121484 1127152 1131312 1145816 1174888 1185184 1203018 1207752 1213856 1215968 1225588 1249248 1251789 1253967 1265264 1281696 1284303 1308398 1350426 1362592 1400672 1403521 1430616 1444443 1457456 1479387 1481961 1495312 1543344 1549834 1555554 1575497 1593186 1595958 1604024 1610336 1650792 1660659 1669052 1671956 1690728 1712404 1718724 1762332 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510881644 520744224 521650272 522711321 527420432 532517986 534270048 538496868 542160112 545400674 564139576 578792552 580928712 583864736 602110509 607534928 608591984 615424992 617749743 623315056 648426702 655406752 665268954 671262368 688126296 690834144 692239317 696948428 711585147 717995824 734621316 741059088 745470154 760307376 766322466 774571616 776147113 791130648 795839759 798776979 802814012 813240168 818101011 823666324 846209364 857058202 864568936 868188828 875797104 887025272 911302392 912887976 917501728 922985756 934972584 943166112 948780196 967096416 979495088 983110128 987244258 1006893552 1012886966 1021763288 1045422642 1054840864 1065035972 1076993736 1084320224 1090801348 1118205231 1128279152 1157585104 1161857424 1204221018 1215069856 1217183968 1219659749 1235499486 1246630112 1285587303 1296853404 1330537908 1376252592 1384478634 1393896856 1404924521 1423170294 1435991648 1441416067 1469242632 1480866387 1482118176 1490940308 1519330449 1520614752 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16726762272 16859094252 17075236486 17296992804 17891283696 17998222242 18120659128 18264018773 18627530712 18738408871 19100154216 19267536288 19514555984 19767991776 19924384116 20179824938 20569396848 20873164312 21270626286 21415324424 22151658144 22283513252 22478792336 22770724704 23062657072 23693862192 23997629656 24309287184 24836707616 25466872288 25560863328 25612854729 26179232352 26565845488 27180988692 28360835048 29271833976 29446071083 30269737407 31309746468 31711153474 32122986636 33425269878 33718188504 34150472972 34593985608 35782567392 35996444484 36241318256 36528037546 37255061424 37476817742 38200308432 38996148191 39029111968 39848768232 40359649876 41138793696 41746328624 42541252572 42830648848 44567026504 44957584672 46125314144 47387724384 47566730211 47995259312 48618574368 51225709458 53131690976 54361977384 54792056319 56215226613 56721670096 58543667952 58892142166 60539474814 62619492936 63422306948 64245973272 66850539756 67436377008 68300945944 69187971216 71992888968 72482636512 73056075092 74510122848 74953635484 76400616864 77992296382 79697536464 80719299752 83492657248 85082505144 85661297696 88338213249 89134053008 95133460422 95990518624 102451418916 108723954768 109584112638 110989037159 112430453226 113443340192 116988444573 117087335904 117784284332 121078949628 125238985872 126844613896 128491946544 131168862097 133701079512 134872754016 136601891888 138375942432 143985777936 146112150184 149907270968 155984592764 159395072928 161438599504 170165010288 176676426498 178268106016 190266920844 204902837832 206122497581 217447909536 219168225276 221978074318 224860906452 233976889146 235568568664 242157899256 250477971744 253689227792 256983893088 262337724194 267402159024 273203783776 287971555872 292224300368 299814541936 311969185528 322877199008 332967111477 340330020576 353352852996 380533841688 393506586291 409805675664 412244995162 438336450552 443956148636 449721812904 467953778292 471137137328 484315798512 507378455584 524675448388 534804318048 584448600736 599629083872 618367492743 623938371056 665934222954 706705705992 761067683376 787013172582 819611351328 824489990324 876672901104 887912297272 899443625808 935907556584 942274274656 968631597024 1049350896776 1236734985486 1247876742112 1331868445908 1413411411984 1442857483067 1522135366752 1574026345164 1648979980648 1753345802208 1775824594544 1798887251616 1871815113168 2098701793552 2473469970972 2663736891816 2826822823968 2885714966134 3148052690328 3297959961296 3551649189088 3743630226336 4197403587104 4328572449201 4946939941944 5327473783632 5771429932268 6296105380656 6595919922592 8657144898402 9893879883888 10654947567264 11542859864536 12592210761312 17314289796804 19787759767776 23085719729072 34628579593608 46171439458144 69257159187216 138514318374432
- Sum of all divisors σ(n): 519733370419200
- Sum of proper divisors (its aliquot sum) s(n): 381219052044768
- 138514318374432 is an abundant number, because the sum of its proper divisors (381219052044768) is greater than itself. Its abundance is 242704733670336
Bases of 138514318374432
- Binary: 111110111111010011000001011111000110110001000002
- Hexadecimal: 0x7DFA60BE3620
- Base-36: 1D3KLKTR1C
Squares and roots of 138514318374432
- 138514318374432 squared (1385143183744322) is 19186216394733510374951322624
- 138514318374432 cubed (1385143183744323) is 2657565686100864358445164493175104064749568
-
The
square root of 138514318374432 is 11769210.6096556875 -
The
cube root of 138514318374432 is 51740.6114110049
Scales and comparisons
How big is 138514318374432?- 138,514,318,374,432 seconds is equal to 4,404,326 years, 45 weeks, 2 days, 4 hours, 27 minutes, 12 seconds.
-
To count from 1 to 138,514,318,374,432 would take you about eleven million, ten thousand, eight hundred seventeen 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 138514318374432 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138514318374432
- 138514318374432 backwards is 234473813415831
- The number of decimal digits it has is: 15
- The sum of 138514318374432's digits is 57
- More coming soon!
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"Number 138514318374432 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 138514318374432 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138514318374432/
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The information we have on file for 138514318374432 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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