48738023314456709142
48,738,023,314,456,709,142 is an even composite number composed of five prime numbers multiplied together.
What does the number 48738023314456709142 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
48738023314456709142 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 48738023314456709142:
2 × 38 × 73 × 13 × 976
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 97 × 97 × 97 × 97 × 97 × 97)See below for interesting mathematical facts about the number 48738023314456709142 from the Numbermatics database.
Names of 48738023314456709142
- Cardinal: 48738023314456709142 can be written as Forty-eight quintillion, seven hundred thirty-eight quadrillion, twenty-three trillion, three hundred fourteen billion, four hundred fifty-six million, seven hundred nine thousand, one hundred forty-two.
Scientific notation
- Scientific notation: 4.8738023314456709142 × 1019
Factors of 48738023314456709142
Divisors of 48738023314456709142
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 97 98 117 126 147 162 182 189 194 234 243 273 291 294 343 351 378 441 486 546 567 582 637 679 686 702 729 819 873 882 1029 1053 1134 1261 1274 1323 1358 1458 1638 1701 1746 1911 2037 2058 2106 2187 2457 2522 2619 2646 3087 3159 3402 3783 3822 3969 4074 4374 4459 4753 4914 5103 5238 5733 6111 6174 6318 6561 7371 7566 7857 7938 8827 8918 9261 9409 9477 9506 10206 11349 11466 11907 12222 13122 13377 14259 14742 15309 15714 17199 17654 18333 18522 18818 18954 22113 22698 23571 23814 26481 26754 27783 28227 28431 28518 30618 33271 34047 34398 35721 36666 40131 42777 44226 45927 47142 51597 52962 54999 55566 56454 56862 61789 65863 66339 66542 68094 70713 71442 79443 80262 83349 84681 85293 85554 91854 99813 102141 103194 107163 109998 120393 122317 123578 128331 131726 132678 141426 154791 158886 164997 166698 169362 170586 185367 197589 199017 199626 204282 212139 214326 238329 240786 244634 250047 254043 256662 299439 306423 309582 321489 329994 361179 366951 370734 384993 395178 398034 424278 432523 461041 464373 476658 494991 500094 508086 556101 592767 597051 598878 612846 636417 642978 714987 722358 733902 750141 762129 769986 856219 865046 898317 912673 919269 922082 928746 989982 1083537 1100853 1112202 1154979 1185534 1194102 1272834 1297569 1383123 1393119 1429974 1484973 1500282 1524258 1668303 1712438 1778301 1796634 1825346 1838538 2144961 2167074 2201706 2250423 2286387 2309958 2568657 2595138 2694951 2738019 2757807 2766246 2786238 2969946 3227287 3250611 3302559 3336606 3464937 3556602 3892707 4149369 4179357 4289922 4454919 4500846 4572774 5004909 5137314 5334903 5389902 5476038 5515614 5993533 6388711 6434883 6454574 6501222 6605118 6859161 6929874 7705971 7785414 8084853 8214057 8273421 8298738 8358714 8909838 9681861 9751833 9907677 10009818 10394811 10669806 11678121 11864749 11987066 12448107 12777422 12869766 13718322 15014727 15411942 16004709 16169706 16428114 16546842 17980599 19166133 19304649 19363722 19503666 19815354 20577483 20789622 23117913 23356242 23729498 24254559 24642171 24896214 29045583 29255499 29723031 30029454 31184433 32009418 35034363 35594247 35961198 37344321 38332266 38609298 41154966 41954731 44720977 45044181 46235826 48014127 48509118 49284342 53941797 57498399 57913947 58091166 58510998 59446062 61732449 62368866 69353739 70068726 71188494 72763677 73926513 74688642 83053243 83909462 87136749 88529281 89169093 89441954 90088362 96028254 105103089 106782741 107883594 112032963 114996798 115827894 123464898 125864193 134162931 135132543 138707478 144042381 145527354 147853026 161825391 166106486 172495197 174273498 177058562 178338186 208061217 210206178 213565482 218291031 221779539 224065926 249159729 251728386 261410247 265587843 267507279 268325862 270265086 288084762 313046839 315309267 320348223 323650782 336098889 344990394 377592579 402488793 405397629 416122434 432127143 436582062 443559078 485476173 498319458 517485591 522820494 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114872850617889 122446884724563 123331823417439 126594570068694 131463591994413 132818886757242 134941464798498 147693665080143 151600904897078 157431708931581 159054716240154 162764447231178 189891855103041 191849503093794 194915449153386 199228330135863 202412197197747 204498920880198 227401357345617 229745701235778 238582074360231 244146670846767 244893769449126 246663646834878 262927183988826 285709397690647 287774254640691 292373173730079 295387330160286 306748381320297 314863417863162 344618551853667 367340654173689 369995470252317 379783710206082 394390775983239 398456660271726 404824394395494 443080995240429 454802714691234 472295126794743 477164148720462 488293341693534 530603167139773 569675565309123 571418795381294 575548509281382 584746347460158 607236591593241 613496762640594 682204072036851 689237103707334 715746223080693 732440012540301 734681308347378 739990940504634 788781551966478 857128193071941 863322763922073 877119521190237 886161990480858 920245143960891 944590253589486 1033855655561001 1061206334279546 1102021962521067 1139351130618246 1214473183186482 1329242985721287 1364408144073702 1416885380384229 1431492446161386 1464880025080602 1591809501419319 1709026695927369 1714256386143882 1726645527844146 1754239042380474 1821709774779723 1840490287921782 2046612216110553 2067711311122002 2147238669242079 2204043925042134 2571384579215823 2589968291766219 2631358563570711 2658485971442574 2760735431882673 2833770760768458 3101566966683003 3183619002838638 3306065887563201 3418053391854738 3643419549559446 3714222169978411 3987728957163861 4093224432221106 4250656141152687 4294477338484158 4775428504257957 5127080087782107 5142769158431646 5179936583532438 5262717127141422 5465129324339169 5521470863765346 6139836648331659 6203133933366006 6441716007726237 6612131775126402 7428444339956822 7714153737647469 7894075690712133 7975457914327722 8501312282305374 9304700900049009 9550857008515914 9918197662689603 10254160175564214 10930258648678338 11142666509935233 11963186871491583 12279673296663318 12751968423458061 12883432015452474 14326285512773871 15428307475294938 15788151381424266 18419509944994977 18609401800098018 19325148023178711 19836395325379206 22285333019870466 23142461212942407 23682227072136399 23926373742983166 25503936846916122 27914102700147027 28652571025547742 29754592988068809 33427999529805699 35889560614474749 36839019889989954 38255905270374183 38650296046357422 42978856538321613 46284922425884814 47364454144272798 55258529834984931 55828205400294054 59509185976137618 66855999059611398 69427383638827221 71046681216409197 71779121228949498 76511810540748366 83742308100441081 85957713076643226 89263778964206427 100283998589417097 110517059669969862 128936569614964839 138854767277654442 142093362432818394 165775589504954793 167484616200882162 178527557928412854 200567997178834194 208282150916481663 251226924301323243 257873139229929678 267791336892619281 300851995768251291 331551179009909586 386809708844894517 416564301832963326 497326768514864379 502453848602646486 535582673785238562 601703991536502582 624846452749444989 773619417689789034 902555987304753873 994653537029728758 1160429126534683551 1249692905498889978 1805111974609507746 1874539358248334967 2320858253069367102 2707667961914261619 3481287379604050653 3749078716496669934 5415335923828523238 6962574759208101306 8123003885742784857 16246007771485569714 24369011657228354571 48738023314456709142
- Sum of all divisors σ(n): 139148785571092533600
- Sum of proper divisors (its aliquot sum) s(n): 90410762256635824458
- 48738023314456709142 is an abundant number, because the sum of its proper divisors (90410762256635824458) is greater than itself. Its abundance is 41672738942179115316
Bases of 48738023314456709142
- Binary: 1010100100011000000011110111111010101110001110011000001000000101102
- Hexadecimal: 0x2A4603DFAB8E60816
- Base-36: AAAE3CU0CC3DI
Squares and roots of 48738023314456709142
- 48738023314456709142 squared (487380233144567091422) is 2375394916600525744217234456416386376164
- 48738023314456709142 cubed (487380233144567091423) is 115772052826318373920588561286816320703315770104094349691288
-
The
square root of 48738023314456709142 is 6981262300.9350328479 -
The
cube root of 48738023314456709142 is 3652772.6056607543 - Being both a perfect square and a perfect cube, 48738023314456709142 is also a
perfect sixth number .
Scales and comparisons
How big is 48738023314456709142?- 48,738,023,314,456,709,142 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,738,023,314,456,709,142 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 48738023314456709142 cubic inches would be around 304397.7 feet tall.
Recreational maths with 48738023314456709142
- 48738023314456709142 backwards is 24190765441332083784
- 48738023314456709142 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 48738023314456709142's digits is 81
- More coming soon!
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"Number 48738023314456709142 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 48738023314456709142 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/48738023314456709142/
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The information we have on file for 48738023314456709142 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 48738023314456709142, math, Factors of 48738023314456709142, curriculum, school, college, exams, university, Prime factorization of 48738023314456709142, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quintillion, seven hundred thirty-eight quadrillion, twenty-three trillion, three hundred fourteen billion, four hundred fifty-six million, seven hundred nine thousand, one hundred forty-two.