48668138668032
48,668,138,668,032 is an even composite number composed of seven prime numbers multiplied together.
48668138668032 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 48668138668032:
217 × 3 × 13 × 19 × 29 × 37 × 467
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 19 × 29 × 37 × 467)See below for interesting mathematical facts about the number 48668138668032 from the Numbermatics database.
Names of 48668138668032
- Cardinal: 48668138668032 can be written as Forty-eight trillion, six hundred sixty-eight billion, one hundred thirty-eight million, six hundred sixty-eight thousand and thirty-two.
Scientific notation
- Scientific notation: 4.8668138668032 × 1013
Factors of 48668138668032
Divisors of 48668138668032
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 29 32 37 38 39 48 52 57 58 64 74 76 78 87 96 104 111 114 116 128 148 152 156 174 192 208 222 228 232 247 256 296 304 312 348 377 384 416 444 456 464 467 481 494 512 551 592 608 624 696 703 741 754 768 832 888 912 928 934 962 988 1024 1073 1102 1131 1184 1216 1248 1392 1401 1406 1443 1482 1508 1536 1653 1664 1776 1824 1856 1868 1924 1976 2048 2109 2146 2204 2262 2368 2432 2496 2784 2802 2812 2886 2964 3016 3072 3219 3306 3328 3552 3648 3712 3736 3848 3952 4096 4218 4292 4408 4524 4736 4864 4992 5568 5604 5624 5772 5928 6032 6071 6144 6438 6612 6656 7104 7163 7296 7424 7472 7696 7904 8192 8436 8584 8816 8873 9048 9139 9472 9728 9984 11136 11208 11248 11544 11856 12064 12142 12288 12876 13224 13312 13543 13949 14208 14326 14592 14848 14944 15392 15808 16384 16872 17168 17279 17632 17746 18096 18213 18278 18944 19456 19968 20387 21489 22272 22416 22496 23088 23712 24128 24284 24576 25752 26448 26619 26624 27086 27417 27898 28416 28652 29184 29696 29888 30784 31616 32768 33744 34336 34558 35264 35492 36192 36426 36556 37888 38912 39936 40629 40774 41847 42978 44544 44832 44992 46176 47424 48256 48568 49152 51504 51837 52896 53238 53248 54172 54834 55796 56832 57304 58368 59392 59776 61161 61568 63232 65536 67488 68672 69116 70528 70984 72384 72852 73112 75776 77824 79872 81258 81548 83694 85956 89088 89664 89984 92352 94848 96512 97136 98304 103008 103674 105792 106476 106496 108344 109668 111592 113664 114608 115349 116736 118784 119552 122322 123136 126464 131072 134976 137344 138232 141056 141968 144768 145704 146224 151552 155648 159744 162516 163096 167388 171912 176059 178176 179328 179968 184704 189696 193024 194272 196608 206016 207348 211584 212952 212992 216688 219336 223184 224627 227328 229216 230698 233472 237568 239104 244644 246272 252928 257317 265031 269952 274688 276464 282112 283936 289536 291408 292448 303104 311296 319488 325032 326192 328301 334776 343824 346047 352118 356352 358656 359936 369408 379392 386048 388544 393216 412032 414696 423168 425904 425984 433376 438672 446368 449254 454656 458432 461396 466944 475136 478208 489288 492544 501091 505856 514634 528177 530062 539904 549376 552928 564224 567872 579072 582816 584896 606208 622592 638976 650064 652384 656602 669552 673881 687648 692094 704236 712704 717312 719872 738816 758784 771951 772096 777088 795093 824064 829392 846336 851808 851968 866752 877344 892736 898508 909312 916864 922792 933888 950272 956416 978576 984903 985088 1002182 1011712 1029268 1056354 1060124 1079808 1098752 1105856 1128448 1135744 1158144 1165632 1169792 1212416 1245184 1277952 1300128 1304768 1313204 1339104 1347762 1375296 1384188 1408472 1425408 1434624 1439744 1477632 1503273 1517568 1543902 1544192 1554176 1590186 1648128 1658784 1692672 1703616 1703936 1733504 1754688 1785472 1797016 1818624 1833728 1845584 1867776 1900544 1912832 1957152 1969806 1970176 2004364 2023424 2058536 2112708 2120248 2159616 2197504 2211712 2256896 2271488 2316288 2331264 2339584 2424832 2490368 2555904 2600256 2609536 2626408 2678208 2695524 2750592 2768376 2816944 2850816 2869248 2879488 2955264 3006546 3035136 3087804 3088384 3108352 3180372 3296256 3317568 3345121 3385344 3407232 3467008 3509376 3570944 3594032 3637248 3667456 3691168 3735552 3801088 3825664 3914304 3939612 3940352 4008728 4046848 4117072 4225416 4240496 4267913 4319232 4395008 4423424 4513792 4542976 4632576 4662528 4679168 4849664 5111808 5200512 5219072 5252816 5356416 5391048 5501184 5536752 5633888 5701632 5738496 5758976 5910528 6013092 6070272 6175608 6176768 6216704 6360744 6514183 6592512 6635136 6690242 6770688 6814464 6934016 7018752 7141888 7188064 7274496 7334912 7382336 7471104 7651328 7828608 7879224 7880704 8017456 8093696 8234144 8450832 8480992 8535826 8638464 8790016 8846848 9027584 9085952 9265152 9325056 9358336 9520729 10035363 10401024 10438144 10505632 10712832 10782096 11002368 11073504 11267776 11403264 11476992 11517952 11821056 12026184 12140544 12351216 12353536 12433408 12721488 12803739 13028366 13185024 13270272 13380484 13541376 13628928 13868032 14037504 14283776 14376128 14548992 14669824 14764672 15302656 15657216 15758448 15761408 16034912 16187392 16468288 16901664 16961984 17071652 17276928 17580032 17693696 18055168 18171904 18530304 18650112 18716672 19041458 19542549 20070726 20802048 20876288 21011264 21425664 21564192 22004736 22147008 22535552 22953984 23035904 23642112 24052368 24281088 24702432 24707072 24866816 25442976 25607478 26056732 26370048 26540544 26760968 27082752 27257856 27736064 28075008 28562187 28567552 28752256 29339648 29529344 30605312 31314432 31516896 31522816 32069824 32374784 32936576 33803328 33923968 34143304 34553856 35160064 35387392 36110336 36343808 37060608 37300224 37433344 38082916 39085098 40141452 41604096 41752576 42022528 42851328 43128384 44009472 44294016 45071104 45907968 46071808 47284224 48104736 48562176 49404864 49414144 49733632 50885952 51214956 52113464 52740096 53081088 53521936 54165504 54515712 55472128 56150016 57124374 57135104 57504512 58679296 59058688 61210624 62628864 63033792 63045632 64139648 65873152 67606656 67847936 68286608 69107712 70320128 70774784 72220672 72687616 74121216 74600448 74866688 76165832 78170196 80282904 83208192 83505152 84045056 85702656 86256768 88018944 88588032 90142208 91815936 92143616 94568448 96209472 97124352 98809728 99467264 101771904 102429912 104226928 105480192 106162176 107043872 108331008 109031424 110944256 112300032 114248748 114270208 115009024 117358592 118117376 123769477 125257728 126067584 128279296 131746304 135213312 135695872 136573216 138215424 140640256 141549568 145375232 148242432 149200896 149733376 152331664 156340392 160565808 166416384 167010304 168090112 171405312 172513536 176037888 177176064 180284416 183631872 189136896 192418944 197619456 198934528 203543808 204859824 208453856 210960384 212324352 214087744 216662016 218062848 221888512 224600064 228497496 228540416 230018048 234717184 236234752 247538954 250515456 252135168 256558592 263492608 270426624 271391744 273146432 276430848 283099136 290750464 298401792 299466752 304663328 312680784 321131616 332832768 334020608 336180224 342810624 345027072 352075776 354352128 360568832 371308431 384837888 395238912 397869056 407087616 409719648 416907712 421920768 424648704 428175488 436125696 443777024 449200128 456994992 457080832 460036096 469434368 472469504 495077908 501030912 504270336 513117184 526985216 540853248 542783488 546292864 566198272 581500928 596803584 598933504 609326656 625361568 642263232 665665536 668041216 672360448 685621248 690054144 704151552 708704256 721137664 742616862 769675776 790477824 795738112 814175232 819439296 833815424 849297408 856350976 872251392 887554048 898400256 913989984 914161664 920072192 938868736 944939008 990155816 1002061824 1008540672 1026234368 1053970432 1081706496 1085566976 1092585728 1132396544 1163001856 1193607168 1197867008 1218653312 1250723136 1284526464 1331331072 1336082432 1344720896 1371242496 1380108288 1408303104 1417408512 1442275328 1485233724 1539351552 1580955648 1628350464 1638878592 1667630848 1698594816 1712701952 1744502784 1775108096 1796800512 1827979968 1828323328 1840144384 1889878016 1980311632 2004123648 2017081344 2052468736 2107940864 2163412992 2171133952 2185171456 2264793088 2387214336 2437306624 2501446272 2569052928 2662662144 2672164864 2689441792 2742484992 2760216576 2816606208 2834817024 2884550656 2970467448 3078703104 3161911296 3256700928 3277757184 3335261696 3397189632 3425403904 3489005568 3593601024 3655959936 3680288768 3779756032 3960623264 4008247296 4034162688 4104937472 4215881728 4326825984 4342267904 4370342912 4874613248 5002892544 5138105856 5325324288 5378883584 5484969984 5520433152 5669634048 5769101312 5940934896 6157406208 6323822592 6513401856 6555514368 6670523392 6794379264 6850807808 7311919872 7360577536 7559512064 7921246528 8016494592 8068325376 8209874944 8431763456 8653651968 8684535808 8740685824 9749226496 10005785088 10276211712 10757767168 11040866304 11339268096 11538202624 11881869792 12314812416 12647645184 13026803712 13111028736 13341046784 13701615616 14623839744 14721155072 15119024128 15842493056 16136650752 16419749888 16863526912 17307303936 17369071616 17481371648 19498452992 20011570176 20552423424 21515534336 22081732608 22678536192 23076405248 23763739584 24629624832 25295290368 26053607424 26222057472 26682093568 27403231232 29247679488 29442310144 31684986112 32273301504 32839499776 33727053824 34614607872 34738143232 34962743296 38996905984 40023140352 41104846848 43031068672 44163465216 45357072384 47527479168 49259249664 50590580736 52107214848 52444114944 53364187136 54806462464 58495358976 63369972224 64546603008 65678999552 69229215744 69925486592 77993811968 80046280704 82209693696 88326930432 95054958336 98518499328 101181161472 104214429696 104888229888 106728374272 109612924928 116990717952 126739944448 129093206016 139850973184 155987623936 160092561408 164419387392 190109916672 197036998656 209776459776 213456748544 219225849856 233981435904 253479888896 279701946368 311975247872 320185122816 328838774784 380219833344 419552919552 426913497088 438451699712 467962871808 506959777792 559403892736 623950495744 640370245632 657677549568 760439666688 839105839104 853826994176 935925743616 1013919555584 1247900991488 1280740491264 1315355099136 1520879333376 1678211678208 1871851487232 2027839111168 2561480982528 3041758666752 3743702974464 4055678222336 6083517333504 8111356444672 12167034667008 16222712889344 24334069334016 48668138668032
- Sum of all divisors σ(n): 156641557363200
- Sum of proper divisors (its aliquot sum) s(n): 107973418695168
- 48668138668032 is an abundant number, because the sum of its proper divisors (107973418695168) is greater than itself. Its abundance is 59305280027136
Bases of 48668138668032
- Binary: 10110001000011011011110001111000000000000000002
- Hexadecimal: 0x2C436F1E0000
- Base-36: H91U16SQO
Squares and roots of 48668138668032
- 48668138668032 squared (486681386680322) is 2368587721410791575098753024
- 48668138668032 cubed (486681386680323) is 115274755673018351775637393296319492128768
-
The
square root of 48668138668032 is 6976255.3471064977 -
The
cube root of 48668138668032 is 36510.2588710043
Scales and comparisons
How big is 48668138668032?- 48,668,138,668,032 seconds is equal to 1,547,496 years, 13 weeks, 6 days, 23 hours, 47 minutes, 12 seconds.
-
To count from 1 to 48,668,138,668,032 would take you about three million, eight hundred sixty-eight thousand, seven hundred forty 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 48668138668032 cubic inches would be around 3042.5 feet tall.
Recreational maths with 48668138668032
- 48668138668032 backwards is 23086683186684
- The number of decimal digits it has is: 14
- The sum of 48668138668032's digits is 69
- More coming soon!
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The information we have on file for 48668138668032 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 48668138668032, math, Factors of 48668138668032, curriculum, school, college, exams, university, Prime factorization of 48668138668032, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, six hundred sixty-eight billion, one hundred thirty-eight million, six hundred sixty-eight thousand and thirty-two.