48642284713516416
48,642,284,713,516,416 is an even composite number composed of five prime numbers multiplied together.
What does the number 48642284713516416 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
48642284713516416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 48642284713516416:
27 × 33 × 134 × 792 × 2812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 13 × 13 × 79 × 79 × 281 × 281)See below for interesting mathematical facts about the number 48642284713516416 from the Numbermatics database.
Names of 48642284713516416
- Cardinal: 48642284713516416 can be written as Forty-eight quadrillion, six hundred forty-two trillion, two hundred eighty-four billion, seven hundred thirteen million, five hundred sixteen thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 4.8642284713516416 × 1016
Factors of 48642284713516416
Divisors of 48642284713516416
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 79 96 104 108 117 128 144 156 158 169 192 208 216 234 237 281 288 312 316 338 351 384 416 432 468 474 507 562 576 624 632 676 702 711 832 843 864 936 948 1014 1027 1124 1152 1248 1264 1352 1404 1422 1521 1664 1686 1728 1872 1896 2028 2054 2133 2197 2248 2496 2528 2529 2704 2808 2844 3042 3081 3372 3456 3653 3744 3792 4056 4108 4266 4394 4496 4563 4992 5056 5058 5408 5616 5688 6084 6162 6241 6591 6744 7306 7488 7584 7587 8112 8216 8532 8788 8992 9126 9243 10112 10116 10816 10959 11232 11376 12168 12324 12482 13182 13351 13488 14612 14976 15168 15174 16224 16432 17064 17576 17984 18252 18486 18723 19773 20232 21632 21918 22199 22464 22752 24336 24648 24964 26364 26702 26976 27729 28561 29224 30336 30348 32448 32864 32877 34128 35152 35968 36504 36972 37446 39546 40053 40464 43836 44398 44928 45504 47489 48672 49296 49928 52728 53404 53952 55458 56169 57122 58448 59319 60696 64896 65728 65754 66597 68256 70304 73008 73944 74892 78961 79092 80106 80928 81133 85683 87672 88796 91008 94978 97344 98592 98631 99856 105456 106808 107904 110916 112338 114244 116896 118638 120159 121392 131456 131508 133194 136512 140608 142467 146016 147888 149784 157922 158184 160212 161856 162266 168507 171366 173563 175344 177592 189956 194688 197184 197262 199712 199791 210912 213616 221832 224676 228488 233792 236883 237276 240318 242784 243399 257049 263016 266388 273024 281216 284934 288587 292032 295776 299568 315844 316368 320424 323712 324532 337014 342732 347126 350688 355184 360477 379912 394368 394524 399424 399582 421824 427232 427401 443664 449352 456976 467584 473766 474552 480636 485568 486798 514098 520689 526032 532776 569868 577174 584064 591552 599136 599373 617357 631688 632736 640848 649064 674028 685464 694252 701376 710368 710649 720954 730197 759824 771147 789048 798848 799164 843648 854464 854802 865761 887328 898704 913952 947532 949104 961272 971136 973596 1026493 1028196 1041378 1052064 1054729 1065552 1139736 1154348 1183104 1198272 1198746 1234714 1263376 1265472 1281696 1282203 1298128 1348056 1370928 1388504 1402752 1420736 1421298 1441908 1460394 1519648 1542294 1562067 1578096 1598328 1708928 1709604 1731522 1753721 1774656 1797408 1827904 1852071 1895064 1898208 1922544 1947192 2052986 2056392 2082756 2104128 2109458 2131104 2131947 2190591 2256319 2279472 2308696 2396544 2397492 2469428 2526752 2530944 2563392 2564406 2596256 2597283 2696112 2741856 2777008 2841472 2842596 2883816 2920788 3039296 3079479 3084588 3124134 3156192 3164187 3196656 3419208 3463044 3507442 3549312 3594816 3655808 3704142 3751631 3790128 3796416 3845088 3894384 4105972 4112784 4165512 4208256 4218916 4262208 4263894 4381182 4512638 4558944 4617392 4686201 4794984 4938856 5053504 5126784 5128812 5192512 5194566 5261163 5392224 5483712 5554016 5556213 5685192 5767632 5841576 6078592 6158958 6169176 6237919 6248268 6312384 6328374 6393312 6768957 6838416 6926088 7014884 7189632 7408284 7503262 7580256 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28149470320322 28850702677056 29232142255719 31980463322496 34206951275328 34645501932704 35978021237808 38482820184744 38976189674292 42224205480483 43276054015584 47363470996608 47970694983744 51310426912992 51968252899056 56298940640644 57701405354112 58464284511438 68413902550656 69291003865408 71956042475616 76965640369488 77952379348584 84448410960966 86552108031168 95941389967488 102620853825984 103936505798112 112597881281288 116928569022876 126672616441449 138582007730816 143912084951232 153931280738976 155904758697168 168896821921932 173104216062336 205241707651968 207873011596224 225195762562576 233857138045752 253345232882898 287824169902464 307862561477952 311809517394336 337793643843864 380017849324347 415746023192448 450391525125152 467714276091504 506690465765796 615725122955904 623619034788672 675587287687728 760035698648694 900783050250304 935428552183008 1013380931531592 1247238069577344 1351174575375456 1520071397297388 1801566100500608 1870857104366016 2026761863063184 2702349150750912 3040142794594776 3741714208732032 4053523726126368 5404698301501824 6080285589189552 8107047452252736 12160571178379104 16214094904505472 24321142356758208 48642284713516416
- Sum of all divisors σ(n): 158081561335794600
- Sum of proper divisors (its aliquot sum) s(n): 109439276622278184
- 48642284713516416 is an abundant number, because the sum of its proper divisors (109439276622278184) is greater than itself. Its abundance is 60796991908761768
Bases of 48642284713516416
- Binary: 101011001100111111100110011101010110100110011101100000002
- Hexadecimal: 0xACCFE675699D80
- Base-36: DAY913VUQO0
Squares and roots of 48642284713516416
- 48642284713516416 squared (486422847135164162) is 2366071862150792800573963901485056
- 48642284713516416 cubed (486422847135164163) is 115091141171378829310953845725921581608898234679296
-
The
square root of 48642284713516416 is 220549959.6769775335 -
The
cube root of 48642284713516416 is 365037.9261610577
Scales and comparisons
How big is 48642284713516416?- 48,642,284,713,516,416 seconds is equal to 1,546,674,193 years, 22 weeks, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 48,642,284,713,516,416 would take you about four billion, six hundred forty million, twenty-two thousand, five hundred eighty 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 48642284713516416 cubic inches would be around 30419.8 feet tall.
Recreational maths with 48642284713516416
- 48642284713516416 backwards is 61461531748224684
- 48642284713516416 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48642284713516416's digits is 72
- More coming soon!
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"Number 48642284713516416 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 48642284713516416 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/48642284713516416/
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The information we have on file for 48642284713516416 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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