45942338168425125
45,942,338,168,425,125 is an odd composite number composed of five prime numbers multiplied together.
45942338168425125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 45942338168425125:
32 × 53 × 76 × 312 × 6012
(3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 31 × 31 × 601 × 601)See below for interesting mathematical facts about the number 45942338168425125 from the Numbermatics database.
Names of 45942338168425125
- Cardinal: 45942338168425125 can be written as Forty-five quadrillion, nine hundred forty-two trillion, three hundred thirty-eight billion, one hundred sixty-eight million, four hundred twenty-five thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.5942338168425125 × 1016
Factors of 45942338168425125
Divisors of 45942338168425125
- Number of divisors d(n): 756
-
Complete list of divisors:
1 3 5 7 9 15 21 25 31 35 45 49 63 75 93 105 125 147 155 175 217 225 245 279 315 343 375 441 465 525 601 651 735 775 875 961 1029 1085 1125 1225 1395 1519 1575 1715 1803 1953 2205 2325 2401 2625 2883 3005 3087 3255 3675 3875 4207 4557 4805 5145 5409 5425 6125 6727 6975 7203 7595 7875 8575 8649 9015 9765 10633 11025 11625 12005 12621 13671 14415 15025 15435 16275 16807 18375 18631 20181 21035 21609 22785 24025 25725 27045 27125 29449 31899 33635 34875 36015 37863 37975 42875 43245 45075 47089 48825 50421 53165 55125 55893 60025 60543 63105 68355 72075 74431 75125 77175 81375 84035 88347 93155 95697 100905 105175 108045 113925 117649 120125 128625 130417 135225 141267 147245 151263 159495 167679 168175 180075 189315 189875 206143 216225 223293 225375 235445 244125 252105 265041 265825 279465 300125 302715 315525 329623 341775 352947 360375 361201 372155 385875 391251 420175 423801 441735 465775 478485 504525 521017 525875 540225 569625 577561 588245 618429 652085 669879 676125 706335 736225 756315 797475 838395 840875 900375 912919 946575 988869 1030715 1058841 1081125 1083603 1116465 1173753 1177225 1260525 1325205 1329125 1397325 1443001 1513575 1563051 1577625 1648115 1708875 1732683 1764735 1806005 1855287 1860775 1956255 2100875 2119005 2208675 2307361 2328875 2392425 2522625 2528407 2605085 2701125 2738757 2887805 2941225 2966607 3092145 3250809 3260425 3349395 3531675 3647119 3681125 3781575 3987375 4042927 4191975 4329003 4564595 4689153 4732875 4944345 5153575 5198049 5294205 5418015 5582325 5868765 5886125 6302625 6390433 6626025 6922083 6986625 7215005 7567875 7585221 7815255 8216271 8240575 8663415 8823675 9030025 9276435 9303875 9781275 10101007 10595025 10941357 11043375 11197231 11536805 11962125 12128781 12642035 12987009 13025425 13693785 14439025 14706125 14833035 15460725 16151527 16254045 16302125 16746975 17658375 17698849 18235595 18907875 19171299 20214635 20766249 20959875 21645015 22755663 22822975 23445765 24721725 25767875 25990245 26471025 27090075 27911625 28300489 29343825 30303021 31952165 32824071 33130125 33591693 34610415 36075025 36386343 37926105 39076275 41081355 41202875 43317075 44118375 44733031 45150125 46382175 48454581 48906375 50505035 52975125 53096547 54706785 55986155 57513897 57684025 60643905 63210175 64935045 65127125 68468925 70707049 72195125 74165175 77303625 78380617 80757635 81270225 83734875 84901467 88494245 90909063 91177975 95856495 100775079 101073175 103831245 108225075 113060689 113778315 114114875 117228825 123608625 123891943 129951225 132355125 134199093 135450375 141502445 145363743 146719125 151515105 159289641 159760825 164120355 167958465 173052075 180375125 181931715 189630525 195381375 198103423 205406775 212121147 216585375 223665155 231910875 235141851 242272905 252525175 254704401 265482735 273533925 279930775 287569485 288420125 303219525 313131217 316050875 324675225 339182067 342344625 347114161 353535245 370825875 371675829 391903085 402597279 403788175 406351125 424507335 442471225 454545315 455889875 479282475 503875395 505365875 519156225 541125375 548664319 565303445 568891575 586144125 594310269 619459715 636363441 649756125 670995465 705425553 707512225 726818715 757575525 796448205 798804125 820601775 839792325 865260375 867243601 909658575 939393651 948152625 990517115 1017546201 1027033875 1041342483 1060605735 1115027487 1118325775 1175709255 1211364525 1262625875 1273522005 1327413675 1367669625 1386723961 1399653875 1437847425 1516097625 1565656085 1623376125 1645992957 1695910335 1735570805 1767676225 1782930807 1858379145 1959515425 2012986395 2018940875 2122536675 2191918519 2212356125 2272726575 2396412375 2429799127 2519376975 2595781125 2601730803 2743321595 2818180953 2826517225 2844457875 2971551345 3097298575 3124027449 3181817205 3354977325 3527127765 3537561125 3634093575 3787877625 3840650233 3982241025 4103008875 4160171883 4198961625 4336218005 4548292875 4696968255 4937978871 4952585575 5087731005 5206712415 5303028675 5575137435 5591628875 5878546275 6056822625 6070705207 6367610025 6575755557 6637068375 6933619805 7189237125 7289397381 7805192409 7828280425 8229964785 8479551675 8677854025 8838381125 8914654035 9291895725 9707067727 9797577125 10064931975 10612683375 10959592595 11363632875 11521950699 12148995635 12480515649 12596884875 13008654015 13716607975 14090904765 14132586125 14857756725 15486492875 15620137245 15909086025 16774886625 17008593889 17635638825 18170467875 18212115621 19203251165 19727266671 19911205125 20800859415 21681090025 21868192143 23484841275 24689894355 24762927875 25438655025 26033562075 26515143375 26884551631 27875687175 29121203181 29392731375 30353526035 31838050125 32878777785 34565852097 34668099025 36446986905 39025962045 39141402125 41149823925 42397758375 42494936449 43389270125 44573270175 46459478625 48535338635 50324659875 51025781667 54636346863 54797962975 57609753495 60744978175 62402578245 65043270075 67949474089 68583039875 70454523825 74288783625 78100686225 79545430125 80653654893 85042969445 87363609543 88178194125 91060578105 96016255825 98636333355 104004297075 108405450125 109340960715 117424206375 119060157223 123449471775 127193275125 127484809347 130167810375 134422758155 139378435875 145606015905 151767630175 153077345001 164393888925 172829260485 173340495125 182234934525 188191861417 195129810225 203848422267 205749119625 212474682245 222866350875 241960964679 242676693175 255128908335 273181734315 273989814875 288048767475 303724890875 312012891225 325216350375 339747370445 352272619125 357180471669 382454428041 390503431125 403268274465 425214847225 436818047715 455302890525 480081279125 493181666775 520021485375 546704803575 564575584251 595300786115 611545266801 617247358875 637424046735 672113790775 728030079525 758838150875 765386725005 821969444625 833421100561 864146302425 911174672625 940959307085 975649051125 1019242111335 1062373411225 1071541415007 1209804823395 1213383465875 1275644541675 1317343029919 1365908671575 1440243837375 1560064456125 1693726752753 1698736852225 1785902358345 1912272140205 2016341372325 2126074236125 2184090238575 2276514452625 2465908333875 2500263301683 2733524017875 2822877921255 2976503930575 3057726334005 3187120233675 3360568953875 3640150397625 3826933625025 3952029089757 4167105502805 4320731512125 4704796535425 5096210556675 5311867056125 5357707075035 5833947703927 6049024116975 6378222708375 6586715149595 6829543357875 7500789905049 8468633763765 8493684261125 8929511791725 9561360701025 10081706861625 10920451192875 11856087269271 12501316508415 14114389606275 14882519652875 15288631670025 15935601168375 17501843111781 19134668125125 19760145448785 20835527514025 23523982677125 25481052783375 26788535375175 29169738519635 30245120584875 32933575747975 37503949525245 40837633927489 42343168818825 44647558958625 47806803505125 52505529335343 59280436346355 62506582542075 70571948031375 76443158350125 87509215558905 98800727243925 104177637570125 122512901782467 133942676875875 145848692598175 164667878739875 187519747626225 204188169637445 211715844094125 262527646676715 296402181731775 312532912710375 367538705347401 437546077794525 494003636219625 612564508912335 729243462990875 937598738131125 1020940848187225 1312638233383575 1482010908658875 1837693526737005 2187730388972625 3062822544561675 5104704240936125 6563191166917875 9188467633685025 15314112722808375 45942338168425125
- Sum of all divisors σ(n): 100005495304297284
- Sum of proper divisors (its aliquot sum) s(n): 54063157135872159
- 45942338168425125 is an abundant number, because the sum of its proper divisors (54063157135872159) is greater than itself. Its abundance is 8120818967447034
Bases of 45942338168425125
- Binary: 101000110011100001010000001010101010111000001010101001012
- Hexadecimal: 0xA338502AAE0AA5
- Base-36: CKD76SDGKV9
Squares and roots of 45942338168425125
- 45942338168425125 squared (459423381684251252) is 2110698436381932069251522731265625
- 45942338168425125 cubed (459423381684251253) is 96970421335824868203524320839684883985004298828125
-
The
square root of 45942338168425125 is 214341638.9048687035 -
The
cube root of 45942338168425125 is 358155.0106590035
Scales and comparisons
How big is 45942338168425125?- 45,942,338,168,425,125 seconds is equal to 1,460,824,244 years, 40 weeks, 1 day, 12 hours, 18 minutes, 45 seconds.
-
To count from 1 to 45,942,338,168,425,125 would take you about four billion, three hundred eighty-two million, four hundred seventy-two thousand, seven hundred thirty-four 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 45942338168425125 cubic inches would be around 29846.3 feet tall.
Recreational maths with 45942338168425125
- 45942338168425125 backwards is 52152486183324954
- The number of decimal digits it has is: 17
- The sum of 45942338168425125's digits is 72
- More coming soon!
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The information we have on file for 45942338168425125 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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