138315835433374976
138,315,835,433,374,976 is an even composite number composed of seven prime numbers multiplied together.
138315835433374976 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138315835433374976:
28 × 13 × 31 × 37 × 131 × 691 × 400291
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 31 × 37 × 131 × 691 × 400291)See below for interesting mathematical facts about the number 138315835433374976 from the Numbermatics database.
Names of 138315835433374976
- Cardinal: 138315835433374976 can be written as One hundred thirty-eight quadrillion, three hundred fifteen trillion, eight hundred thirty-five billion, four hundred thirty-three million, three hundred seventy-four thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 1.38315835433374976 × 1017
Factors of 138315835433374976
Divisors of 138315835433374976
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 8 13 16 26 31 32 37 52 62 64 74 104 124 128 131 148 208 248 256 262 296 403 416 481 496 524 592 691 806 832 962 992 1048 1147 1184 1382 1612 1664 1703 1924 1984 2096 2294 2368 2764 3224 3328 3406 3848 3968 4061 4192 4588 4736 4847 5528 6448 6812 7696 7936 8122 8384 8983 9176 9472 9694 11056 12896 13624 14911 15392 16244 16768 17966 18352 19388 21421 22112 25567 25792 27248 29822 30784 32488 33536 35932 36704 38776 42842 44224 51134 51584 52793 54496 59644 61568 63011 64976 71864 73408 77552 85684 88448 90521 102268 103168 105586 108992 119288 123136 126022 129952 143728 146816 150257 155104 171368 176896 181042 204536 211172 217984 238576 252044 259904 278473 287456 293632 300514 310208 332371 342736 362084 400291 409072 422344 435968 477152 504088 519808 556946 574912 601028 620416 664742 685472 724168 792577 800582 818144 844688 954304 1008176 1039616 1113892 1149824 1176773 1202056 1240832 1329484 1370944 1448336 1585154 1601164 1636288 1689376 1908608 1953341 2016352 2227784 2299648 2353546 2404112 2658968 2741888 2806151 2896672 3170308 3202328 3272576 3349277 3378752 3817216 3906682 4032704 4455568 4707092 4808224 5203783 5317936 5483776 5612302 5793344 6340616 6404656 6545152 6698554 6757504 7813364 8065408 8911136 9414184 9616448 10303501 10407566 10635872 11224604 11586688 12409021 12681232 12809312 13397108 13515008 14810767 15626728 16130816 17822272 18828368 19232896 20607002 20815132 21271744 22449208 23173376 24818042 25362464 25618624 26794216 29621534 31253456 35644544 36479963 37656736 38465792 41214004 41630264 42543488 43540601 44898416 49636084 50724928 51237248 52438121 53588432 59243068 62506912 71289088 72959926 75313472 82428008 83260528 85086976 87081202 89796832 99272168 101449856 102474496 103827587 104876242 107176864 118486136 125013824 145919852 150626944 161317273 164856016 166521056 174162404 179593664 192539971 198544336 202899712 207655174 209752484 214353728 236972272 250027648 276601081 291839704 301253888 322634546 329712032 333042112 348324808 359187328 385079942 397088672 415310348 419504968 428707456 459133777 473944544 500055296 553202162 583679408 645269092 659424064 666084224 681695573 696649616 718374656 770159884 794177344 830620696 839009936 857414912 918267554 947889088 1106404324 1167358816 1290538184 1318848128 1332168448 1349758631 1363391146 1393299232 1540319768 1588354688 1625581751 1661241392 1678019872 1836535108 1895778176 1940210477 2212808648 2334717632 2581076368 2637696256 2699517262 2726782292 2786598464 3080639536 3176709376 3251163502 3322482784 3356039744 3595814053 3673070216 3791556352 3880420954 4425617296 4669435264 5162152736 5399034524 5453564584 5573196928 5968739101 6161279072 6502327004 6644965568 6712079488 7191628106 7346140432 7760841908 8574633511 8851234592 9338870528 10234239997 10324305472 10798069048 10907129168 11146393856 11937478202 12322558144 13004654008 13289931136 13424158976 14383256212 14692280864 15521683816 17149267022 17702469184 20468479994 20648610944 21132562763 21596138096 21814258336 23874956404 24645116288 25222736201 26009308016 26579862272 28766512424 29384561728 31043367632 34298534044 35404938368 36234741611 40936959988 41297221888 42265125526 43192276192 43628516672 47749912808 49290232576 50445472402 52018616032 57533024848 58769123456 60146524787 62086735264 68597068088 70809876736 72469483222 81873919976 84530251052 86384552384 87257033344 95499825616 100890944804 104037232064 111470235643 115066049696 117538246912 120293049574 124173470528 133045119961 137194136176 144938966444 163747839952 169060502104 172769104768 174514066688 190999651232 201781889608 208074464128 222940471286 230132099392 240586099148 248346941056 266090239922 274388272352 289877932888 317261439907 327495679904 338121004208 345538209536 381999302464 403563779216 416148928256 445880942572 460264198784 471051640943 481172198296 496693882112 532180479844 548776544704 579755865776 634522879814 654991359808 676242008416 763998604928 781904822231 807127558432 891761885144 920528397568 942103281886 962344396592 1064360959688 1097553089408 1123276989941 1159511731552 1269045759628 1309982719616 1340685439607 1352484016832 1527997209856 1563809644462 1614255116864 1783523770288 1884206563772 1924688793184 2128721919376 2195106178816 2246553979882 2319023463104 2538091519256 2619965439232 2681370879214 2704968033664 3127619288924 3228510233728 3567047540576 3768413127544 3849377586368 4124398718791 4257443838752 4493107959764 4638046926208 5076183038512 5362741758428 5409936067328 6255238577848 6457020467456 7134095081152 7536826255088 7698755172736 8248797437582 8514887677504 8986215919528 9276093852416 10152366077024 10725483516856 12510477155696 14268190162304 14602600869233 15073652510176 15397510345472 16497594875164 17029775355008 17428910714891 17972431839056 20304732154048 21450967033712 25020954311392 28536380324608 29205201738466 30147305020352 32995189750328 34059550710016 34857821429782 35944863678112 40609464308096 41561248627817 42901934067424 50041908622784 58410403476932 60294610040704 65990379500656 69715642859564 71889727356224 81218928616192 83122497255634 85803868134848 100083817245568 116820806953864 120589220081408 131980759001312 139431285719128 143779454712448 166244994511268 171607736269696 200167634491136 233641613907728 263961518002624 278862571438256 287558909424896 332489989022536 343215472539392 467283227815456 527923036005248 540296232161621 557725142876512 664979978045072 934566455630912 1055846072010496 1080592464323242 1115450285753024 1329959956090144 1869132911261824 2161184928646484 2230900571506048 2659919912180288 3738265822523648 4322369857292968 4461801143012096 5319839824360576 8644739714585936 10639679648721152 17289479429171872 34578958858343744 69157917716687488 138315835433374976
- Sum of all divisors σ(n): 318082258993078272
- Sum of proper divisors (its aliquot sum) s(n): 179766423559703296
- 138315835433374976 is an abundant number, because the sum of its proper divisors (179766423559703296) is greater than itself. Its abundance is 41450588126328320
Bases of 138315835433374976
- Binary: 1111010110110010110000100111111011101000101010101000000002
- Hexadecimal: 0x1EB6584FDD15500
- Base-36: 11TWVDLJZMRK
Squares and roots of 138315835433374976
- 138315835433374976 squared (1383158354333749762) is 19131270331632468534903789823000576
- 138315835433374976 cubed (1383158354333749763) is 2646157638821485619337177426167511951772878871986176
-
The
square root of 138315835433374976 is 371908369.6737342533 -
The
cube root of 138315835433374976 is 517158.8583747131
Scales and comparisons
How big is 138315835433374976?- 138,315,835,433,374,976 seconds is equal to 4,398,015,727 years, 42 weeks, 1 day, 7 hours, 42 minutes, 56 seconds.
-
To count from 1 to 138,315,835,433,374,976 would take you about thirteen billion, one hundred ninety-four million, forty-seven thousand, one hundred eighty-three 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 138315835433374976 cubic inches would be around 43096.6 feet tall.
Recreational maths with 138315835433374976
- 138315835433374976 backwards is 679473334538513831
- The number of decimal digits it has is: 18
- The sum of 138315835433374976's digits is 83
- More coming soon!
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The information we have on file for 138315835433374976 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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