48141462957312144
48,141,462,957,312,144 is an even composite number composed of six prime numbers multiplied together.
What does the number 48141462957312144 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1120 divisors.
48141462957312144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 48141462957312144:
24 × 3 × 7 × 173 × 236 × 197
(2 × 2 × 2 × 2 × 3 × 7 × 17 × 17 × 17 × 23 × 23 × 23 × 23 × 23 × 23 × 197)See below for interesting mathematical facts about the number 48141462957312144 from the Numbermatics database.
Names of 48141462957312144
- Cardinal: 48141462957312144 can be written as Forty-eight quadrillion, one hundred forty-one trillion, four hundred sixty-two billion, nine hundred fifty-seven million, three hundred twelve thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.8141462957312144 × 1016
Factors of 48141462957312144
Divisors of 48141462957312144
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 23 24 28 34 42 46 48 51 56 68 69 84 92 102 112 119 136 138 161 168 184 197 204 238 272 276 289 322 336 357 368 391 394 408 476 483 529 552 578 591 644 714 782 788 816 867 952 966 1058 1104 1156 1173 1182 1288 1379 1428 1564 1576 1587 1734 1904 1932 2023 2116 2312 2346 2364 2576 2737 2758 2856 3128 3152 3174 3349 3468 3703 3864 4046 4137 4232 4531 4624 4692 4728 4913 5474 5516 5712 6069 6256 6348 6647 6698 6936 7406 7728 8092 8211 8274 8464 8993 9062 9384 9456 9826 10047 10948 11032 11109 12138 12167 12696 13294 13396 13593 13872 14739 14812 16184 16422 16548 17986 18124 18768 19652 19941 20094 21896 22064 22218 23443 24276 24334 25392 26588 26792 26979 27186 29478 29624 31717 32368 32844 33096 34391 35972 36248 36501 39304 39882 40188 43792 44436 46529 46886 48552 48668 53176 53584 53958 54372 56933 58956 59248 62951 63434 65688 66192 68782 70329 71944 72496 73002 77027 78608 79764 80376 85169 88872 93058 93772 95151 97104 97336 103173 104213 106352 107916 108744 112999 113866 117912 125902 126868 131376 137564 139587 140658 143888 146004 152881 154054 159528 160752 170338 170799 177744 186116 187544 188853 190302 194672 206346 206839 208426 215832 217488 225998 227732 231081 235824 251804 253736 255507 275128 279174 279841 281316 292008 305762 308108 312639 319056 338997 340676 341598 372232 375088 377706 380604 398531 412692 413678 416852 431664 451996 455464 458643 462162 503608 507472 511014 539189 550256 558348 559682 562632 584016 611524 616216 620517 625278 677994 681352 683196 729491 744464 755412 761208 790993 797062 825384 827356 833704 839523 903992 910928 917286 924324 967861 1007216 1022028 1070167 1078378 1116696 1119364 1125264 1195593 1223048 1232432 1241034 1250556 1309459 1355988 1362704 1366392 1447873 1458982 1510824 1522416 1581986 1594124 1617567 1650768 1654712 1667408 1679046 1771621 1807984 1834572 1848648 1935722 1958887 2044056 2140334 2156756 2188473 2233392 2238728 2372979 2391186 2396899 2446096 2482068 2501112 2598977 2618918 2711976 2732784 2895746 2903583 2917964 3021648 3163972 3188248 3210501 3235134 3309424 3358092 3516263 3543242 3669144 3697296 3871444 3917774 3928377 4088112 4280668 4313512 4343619 4376946 4477456 4745958 4757297 4782372 4793798 4964136 5002224 5197954 5237836 5314863 5423952 5791492 5807166 5835928 5876661 6327944 6376496 6421002 6436343 6470268 6716184 6775027 7032526 7086484 7190697 7338288 7742888 7796931 7835548 7856754 8561336 8627024 8687238 8753892 9166213 9491916 9514594 9564744 9587596 9928272 10395908 10475672 10548789 10629726 11582984 11614332 11671856 11753322 12401347 12655888 12842004 12872686 12940536 13432368 13550054 14065052 14172968 14271891 14381394 15485776 15593862 15671096 15713508 16778293 17122672 17374476 17507784 18192839 18332426 18983832 19029188 19129488 19175192 19309029 20325081 20791816 20951344 21097578 21259452 22260803 23165968 23228664 23506644 24613841 24802694 25684008 25745372 25881072 27100108 27498639 28130104 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349956841596 366440316019 379461037908 382372503672 408282981862 422790498984 426034415856 442704544226 446101254284 452661566847 461952567888 466609122128 494590521054 495772192261 505948050544 513388463052 517327504968 541694380202 565246309776 598953206894 603548755796 612424472793 624994650672 659454028072 664056816339 669151881426 684517950736 699913683192 727300322657 732880632038 758922075816 764745007344 812541570303 816565963724 845580997968 885409088452 892202508568 898429810341 905323133694 989181042108 991544384522 1026776926104 1034655009936 1083388760404 1099320948057 1197906413788 1207097511592 1224848945586 1318908056144 1328113632678 1338303762852 1399827366384 1454600645314 1465761264076 1487316576783 1517844151632 1625083140606 1633131927448 1770818176904 1784405017136 1796859620682 1810646267388 1895930330707 1978362084216 1983088769044 2053553852208 2166777520808 2181900967971 2198641896114 2395812827576 2414195023184 2449697891172 2565082212133 2656227265356 2676607525704 2909201290628 2931522528152 2974633153566 3250166281212 3266263854896 3470405345827 3541636353808 3593719241364 3621292534776 3791860661414 3956724168432 3966177538088 4333555041616 4363801935942 4397283792228 4791625655152 4899395782344 5091102258599 5130164424266 5312454530712 5353215051408 5687790992121 5818402581256 5863045056304 5949266307132 6229485372323 6500332562424 6940810691654 7187438482728 7242585069552 7583721322828 7695246636399 7932355076176 8428127268437 8727603871884 8794567584456 9798791564688 10182204517198 10260328848532 10411216037481 10624909061424 11375581984242 11636805162512 11898532614264 12458970744646 13000665124848 13881621383308 14374876965456 15167442645656 15273306775797 15390493272798 16856254536874 17455207743768 17589135168912 18688456116969 20364409034396 20520657697064 20822432074962 22751163968484 23797065228528 24917941489292 25284381805311 27763242766616 30334885291312 30546613551594 30780986545596 33712509073748 34910415487536 37376912233938 40728818068792 41041315394128 41644864149924 43606397606261 45502327936968 49835882978584 50568763610622 55526485533232 58996890879059 61093227103188 61561973091192 67425018147496 74753824467876 81457636137584 83289728299848 87212795212522 91004655873936 99671765957168 101137527221244 117993781758118 122186454206376 123123946182384 130819192818783 134850036294992 143278163563429 149507648935752 166579456599696 174425590425044 176990672637177 202275054442488 235987563516236 244372908412752 261638385637566 286556327126858 299015297871504 348851180850088 353981345274354 404550108884976 429834490690287 471975127032472 523276771275132 573112654253716 697702361700176 707962690548708 859668981380574 943950254064944 1002947144944003 1046553542550264 1146225308507432 1415925381097416 1719337962761148 2005894289888006 2093107085100528 2292450617014864 2831850762194832 3008841434832009 3438675925522296 4011788579776012 6017682869664018 6877351851044592 8023577159552024 12035365739328036 16047154319104048 24070731478656072 48141462957312144
- Sum of all divisors σ(n): 158679029857455360
- Sum of proper divisors (its aliquot sum) s(n): 110537566900143216
- 48141462957312144 is an abundant number, because the sum of its proper divisors (110537566900143216) is greater than itself. Its abundance is 62396103942831072
Bases of 48141462957312144
- Binary: 101010110000100001100111110011101000100111001000100100002
- Hexadecimal: 0xAB0867CE89C890
- Base-36: D60Q2RP1LLC
Squares and roots of 48141462957312144
- 48141462957312144 squared (481414629573121442) is 2317600455670257321475597049876736
- 48141462957312144 cubed (481414629573121443) is 111572676486499438525110232757454046325605075881984
-
The
square root of 48141462957312144 is 219411629.0384631003 -
The
cube root of 48141462957312144 is 363780.7895930159
Scales and comparisons
How big is 48141462957312144?- 48,141,462,957,312,144 seconds is equal to 1,530,749,610 years, 37 weeks, 3 days, 5 hours, 22 minutes, 24 seconds.
-
To count from 1 to 48,141,462,957,312,144 would take you about four billion, five hundred ninety-two million, two hundred forty-eight thousand, eight hundred thirty-two 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 48141462957312144 cubic inches would be around 30315.1 feet tall.
Recreational maths with 48141462957312144
- 48141462957312144 backwards is 44121375926414184
- The number of decimal digits it has is: 17
- The sum of 48141462957312144's digits is 66
- More coming soon!
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"Number 48141462957312144 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 48141462957312144 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/48141462957312144/
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The information we have on file for 48141462957312144 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!
Keywords: Divisors of 48141462957312144, math, Factors of 48141462957312144, curriculum, school, college, exams, university, Prime factorization of 48141462957312144, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, one hundred forty-one trillion, four hundred sixty-two billion, nine hundred fifty-seven million, three hundred twelve thousand, one hundred forty-four.