48423219676416
48,423,219,676,416 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48423219676416 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
48423219676416 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 48423219676416:
28 × 33 × 13 × 172 × 53 × 151 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 17 × 17 × 53 × 151 × 233)See below for interesting mathematical facts about the number 48423219676416 from the Numbermatics database.
Names of 48423219676416
- Cardinal: 48423219676416 can be written as Forty-eight trillion, four hundred twenty-three billion, two hundred nineteen million, six hundred seventy-six thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 4.8423219676416 × 1013
Factors of 48423219676416
Divisors of 48423219676416
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 53 54 64 68 72 78 96 102 104 106 108 117 128 136 144 151 153 156 159 192 204 208 212 216 221 233 234 256 272 288 289 302 306 312 318 351 384 408 416 424 432 442 453 459 466 468 477 544 576 578 604 612 624 636 663 689 699 702 768 816 832 848 864 867 884 901 906 918 932 936 954 1088 1152 1156 1208 1224 1248 1272 1326 1359 1378 1398 1404 1431 1632 1664 1696 1728 1734 1768 1802 1812 1836 1864 1872 1908 1963 1989 2067 2097 2176 2304 2312 2416 2448 2496 2544 2567 2601 2652 2703 2718 2756 2796 2808 2862 3029 3264 3328 3392 3456 3468 3536 3604 3624 3672 3728 3744 3757 3816 3926 3961 3978 4077 4134 4194 4352 4624 4832 4896 4992 5088 5134 5202 5304 5406 5436 5512 5592 5616 5724 5889 5967 6058 6201 6291 6528 6784 6912 6936 7072 7208 7248 7344 7456 7488 7514 7632 7701 7803 7852 7922 7956 8003 8109 8154 8268 8388 9087 9248 9664 9792 9984 10176 10268 10404 10608 10812 10872 11024 11184 11232 11271 11448 11713 11778 11883 11934 12116 12349 12402 12582 13056 13568 13872 14144 14416 14496 14688 14912 14976 15028 15264 15317 15402 15606 15704 15844 15912 16006 16218 16308 16536 16776 17667 18174 18496 18603 19328 19584 20352 20536 20808 21216 21624 21744 22048 22368 22464 22542 22896 23103 23426 23556 23766 23868 24009 24232 24327 24698 24804 25164 27261 27744 28288 28832 28992 29376 29824 29952 30056 30528 30634 30804 31212 31408 31688 31824 32012 32436 32616 33072 33371 33552 33813 35139 35183 35334 35649 36348 36992 37047 37206 38656 39168 40704 41072 41616 42432 43248 43488 43639 44096 44736 44928 45084 45792 45951 46206 46852 47112 47532 47736 48018 48464 48654 49396 49608 50328 51493 53001 54522 55488 56576 57664 57984 58752 59648 60112 61056 61268 61608 62424 62816 63376 63648 64024 64872 65232 66144 66742 67104 67337 67626 69309 70278 70366 70668 71298 72027 72696 73984 74094 74412 81783 82144 83232 84864 86496 86976 87278 88192 89472 89856 90168 91584 91902 92412 93704 94224 95064 95472 96036 96928 97308 98792 99216 100113 100656 101439 102986 104039 105417 105549 106002 106947 109044 110976 111141 115328 115968 117504 120224 122112 122536 123216 124848 125632 126752 127296 128048 129744 130464 130917 132288 133484 134208 134674 135252 136051 137853 138618 140556 140732 141336 142596 144054 145392 148188 148824 154479 160537 163566 164288 166464 169728 172992 173952 174556 176384 178944 180336 183168 183804 184824 187408 188448 190128 190944 192072 193856 194616 197584 198432 199121 200226 201312 202011 202878 205972 208078 209933 210834 211098 212004 213894 216081 218088 221952 222282 230656 240448 245072 246432 249696 251264 253504 254592 256096 259488 260928 261834 264576 266968 268416 269348 270504 272102 275706 277236 281112 281464 282672 285192 288108 290784 296376 297648 300339 308958 312117 316251 316647 321074 327132 328576 332928 333423 345984 347904 349112 360672 366336 367608 369648 374816 376896 380256 381888 384144 387712 389232 392751 395168 396864 398242 400452 402624 404022 405756 408153 411944 413559 416156 419866 421668 422196 424008 427788 432162 436176 444564 457379 463437 480896 481611 490144 492864 499392 502528 507008 509184 512192 518976 521856 523668 529152 533936 536832 538696 541008 544204 551412 554472 562224 562928 565344 567307 570384 576216 581568 592752 595296 597363 598111 600678 606033 617916 624234 629799 632502 633294 642148 654264 657152 665856 666846 691968 698224 721344 735216 739296 749632 753792 760512 763776 768288 775424 778464 785502 790336 793728 796484 800904 805248 808044 811512 816306 823888 827118 832312 839732 843336 844392 848016 855576 864324 872352 875381 889128 901017 914758 926874 936351 949941 961792 963222 980288 985728 998784 1014016 1024384 1037952 1043712 1047336 1067872 1077392 1082016 1088408 1102824 1108944 1124448 1125856 1130688 1134614 1140768 1152432 1163136 1178253 1185504 1190592 1194726 1196222 1201356 1212066 1224459 1235832 1248468 1259598 1265004 1266588 1284296 1308528 1333692 1372137 1390311 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183021966 184938624 185580772 186610632 189082296 190199298 191015604 192718494 193928696 196497288 197587728 201387492 209936961 217845888 218169783 222035232 224097536 226388864 228407104 229387392 229674624 230660352 232716672 235096128 238681472 239705856 240538168 241842816 243184896 244029288 245076624 248814176 249789636 252109728 253599064 254687472 256957992 258383952 261996384 263450304 264365062 268516656 270605439 274532949 277407936 278371158 279915948 285298947 290893044 294745932 296046976 301632768 313461504 325372384 326768832 333052848 336146304 339583296 342610656 344081088 344511936 349328512 351267072 355919616 358022208 359558784 360807252 362764224 366043932 369877248 371161544 373221264 378164592 380398596 382031208 385436988 387857392 392994576 395175456 396547593 402774984 412098479 417556737 419873922 435691776 436339566 444070464 452777728 456814208 458774784 459349248 465433344 470192256 477362944 481076336 483685632 488058576 490153248 497628352 499579272 504219456 507198128 509374944 513915984 516767904 523992768 526900608 528730124 537033312 538898011 541210878 549065898 554815872 556742316 559831896 570597894 581786088 589491864 592093952 650744768 653537664 654509349 666105696 672292608 679166592 685221312 688162176 689023872 698657024 716044416 719117568 721614504 725528448 732087864 742323088 746442528 756329184 760797192 764062416 770873976 775714784 785989152 790350912 793095186 805549968 811816317 824196958 835113474 839747844 855896841 872679132 888140928 913628416 940384512 962152672 976117152 980306496 995256704 999158544 1008438912 1014396256 1018749888 1027831968 1033535808 1047985536 1053801216 1057460248 1074066624 1077796022 1082421756 1098131796 1109631744 1113484632 1119663792 1141195788 1163572176 1178983728 1189642779 1236295437 1252670211 1301489536 1307075328 1309018698 1332211392 1358333184 1370442624 1376324352 1378047744 1432088832 1443229008 1451056896 1464175728 1484646176 1492885056 1512658368 1521594384 1528124832 1541747952 1551429568 1571978304 1580701824 1586190372 1611099936 1616694033 1623632634 1648393916 1670226948 1679495688 1711793682 1745358264 1776281856 1924305344 1952234304 1960612992 1990513408 1998317088 2016877824 2028792512 2037499776 2055663936 2067071616 2095971072 2114920496 2148133248 2155592044 2164843512 2196263592 2226969264 2239327584 2282391576 2327144352 2357967456 2379285558 2472590874 2505340422 2602979072 2618037396 2664422784 2740885248 2886458016 2928351456 2969292352 2985770112 3025316736 3043188768 3056249664 3083495904 3102859136 3143956608 3161403648 3172380744 3222199872 3233388066 3247265268 3296787832 3340453896 3358991376 3423587364 3490716528 3568928337 3708886311 3848610688 3904468608 3921225984 3996634176 4057585024 4074999552 4111327872 4134143232 4229840992 4296266496 4311184088 4329687024 4392527184 4453938528 4478655168 4564783152 4654288704 4715934912 4758571116 4850082099 4945181748 5010680844 5236074792 5328845568 5772916032 5856702912 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27388698912 27925732224 28022696572 28551426696 29100492594 29671090488 33838727936 34489472704 34637496192 35140217472 35631508224 36518265216 38068568928 38800656792 39561453984 40085446752 41888598336 42034044858 44506635732 50758091904 51734209056 51956244288 52748605312 53447262336 53743862016 54777397824 55851464448 56045393144 57102853392 58200985188 59342180976 63051067287 68978945408 69274992384 70280434944 73036530432 76137137856 77601313584 79122907968 80170893504 83777196672 84068089716 89013271464 101516183808 103468418112 103912488576 105497210624 106894524672 109554795648 112090786288 114205706784 116401970376 118684361952 126102134574 137957890816 152274275712 155202627168 158245815936 160341787008 167554393344 168136179432 178026542928 189153201861 206936836224 207824977152 219109591296 224181572576 228411413568 232803940752 237368723904 252204269148 304548551424 310405254336 316491631872 320683574016 336272358864 356053085856 378306403722 413873672448 448363145152 456822827136 465607881504 474737447808 504408538296 620810508672 672544717728 712106171712 756612807444 896726290304 913645654272 931215763008 949474895616 1008817076592 1241621017344 1345089435456 1424212343424 1513225614888 1793452580608 1862431526016 2017634153184 2690178870912 2848424686848 3026451229776 3724863052032 4035268306368 5380357741824 6052902459552 8070536612736 12105804919104 16141073225472 24211609838208 48423219676416
- Sum of all divisors σ(n): 168733186352640
- Sum of proper divisors (its aliquot sum) s(n): 120309966676224
- 48423219676416 is an abundant number, because the sum of its proper divisors (120309966676224) is greater than itself. Its abundance is 71886746999808
Bases of 48423219676416
- Binary: 10110000001010011010001100111011000101000000002
- Hexadecimal: 0x2C0A68CEC500
- Base-36: H5XBIQTC0
Squares and roots of 48423219676416
- 48423219676416 squared (484232196764162) is 2344808203830441663746605056
- 48423219676416 cubed (484232196764163) is 113543162753143901552498245558018869559296
-
The
square root of 48423219676416 is 6958679.4491782705 -
The
cube root of 48423219676416 is 36448.9107405903
Scales and comparisons
How big is 48423219676416?- 48,423,219,676,416 seconds is equal to 1,539,708 years, 31 weeks, 2 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 48,423,219,676,416 would take you about three million, eight hundred forty-nine thousand, two hundred seventy-one 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 48423219676416 cubic inches would be around 3037.4 feet tall.
Recreational maths with 48423219676416
- 48423219676416 backwards is 61467691232484
- The number of decimal digits it has is: 14
- The sum of 48423219676416's digits is 63
- More coming soon!
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"Number 48423219676416 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 48423219676416 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/48423219676416/
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The information we have on file for 48423219676416 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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