48828148088832
48,828,148,088,832 is an even composite number composed of four prime numbers multiplied together.
What does the number 48828148088832 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1216 divisors.
48828148088832 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixteen divisors.
Prime factorization of 48828148088832:
218 × 37 × 7 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 23 × 23 × 23)See below for interesting mathematical facts about the number 48828148088832 from the Numbermatics database.
Names of 48828148088832
- Cardinal: 48828148088832 can be written as Forty-eight trillion, eight hundred twenty-eight billion, one hundred forty-eight million, eighty-eight thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 4.8828148088832 × 1013
Factors of 48828148088832
Divisors of 48828148088832
- Number of divisors d(n): 1216
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 54 56 63 64 69 72 81 84 92 96 108 112 126 128 138 144 161 162 168 184 189 192 207 216 224 243 252 256 276 288 322 324 336 368 378 384 414 432 448 483 486 504 512 529 552 567 576 621 644 648 672 729 736 756 768 828 864 896 966 972 1008 1024 1058 1104 1134 1152 1242 1288 1296 1344 1449 1458 1472 1512 1536 1587 1656 1701 1728 1792 1863 1932 1944 2016 2048 2116 2187 2208 2268 2304 2484 2576 2592 2688 2898 2916 2944 3024 3072 3174 3312 3402 3456 3584 3703 3726 3864 3888 4032 4096 4232 4347 4374 4416 4536 4608 4761 4968 5103 5152 5184 5376 5589 5796 5832 5888 6048 6144 6348 6624 6804 6912 7168 7406 7452 7728 7776 8064 8192 8464 8694 8748 8832 9072 9216 9522 9936 10206 10304 10368 10752 11109 11178 11592 11664 11776 12096 12167 12288 12696 13041 13248 13608 13824 14283 14336 14812 14904 15309 15456 15552 16128 16384 16767 16928 17388 17496 17664 18144 18432 19044 19872 20412 20608 20736 21504 22218 22356 23184 23328 23552 24192 24334 24576 25392 26082 26496 27216 27648 28566 28672 29624 29808 30618 30912 31104 32256 32768 33327 33534 33856 34776 34992 35328 36288 36501 36864 38088 39123 39744 40824 41216 41472 42849 43008 44436 44712 46368 46656 47104 48384 48668 49152 50301 50784 52164 52992 54432 55296 57132 57344 59248 59616 61236 61824 62208 64512 65536 66654 67068 67712 69552 69984 70656 72576 73002 73728 76176 78246 79488 81648 82432 82944 85169 85698 86016 88872 89424 92736 93312 94208 96768 97336 98304 99981 100602 101568 104328 105984 108864 109503 110592 114264 114688 117369 118496 119232 122472 123648 124416 128547 129024 131072 133308 134136 135424 139104 139968 141312 145152 146004 147456 152352 156492 158976 163296 164864 165888 170338 171396 172032 177744 178848 185472 186624 188416 193536 194672 196608 199962 201204 203136 208656 211968 217728 219006 221184 228528 229376 234738 236992 238464 244944 247296 248832 255507 257094 258048 262144 266616 268272 270848 278208 279936 282624 290304 292008 294912 299943 304704 312984 317952 326592 328509 329728 331776 340676 342792 344064 352107 355488 357696 370944 373248 376832 385641 387072 389344 393216 399924 402408 406272 417312 423936 435456 438012 442368 457056 458752 469476 473984 476928 489888 494592 497664 511014 514188 516096 533232 536544 541696 556416 559872 565248 580608 584016 589824 599886 609408 625968 635904 653184 657018 659456 663552 681352 685584 688128 704214 710976 715392 741888 746496 753664 766521 771282 774144 778688 786432 799848 804816 812544 834624 847872 870912 876024 884736 899829 914112 917504 938952 947968 953856 979776 985527 989184 995328 1022028 1028376 1032192 1066464 1073088 1083392 1112832 1119744 1130496 1156923 1161216 1168032 1179648 1199772 1218816 1251936 1271808 1306368 1314036 1318912 1327104 1362704 1371168 1376256 1408428 1421952 1430784 1483776 1492992 1507328 1533042 1542564 1548288 1557376 1599696 1609632 1625088 1669248 1695744 1741824 1752048 1769472 1799658 1828224 1835008 1877904 1895936 1907712 1959552 1971054 1978368 1990656 2044056 2056752 2064384 2132928 2146176 2166784 2225664 2239488 2260992 2299563 2313846 2322432 2336064 2359296 2399544 2437632 2503872 2543616 2612736 2628072 2637824 2654208 2699487 2725408 2742336 2752512 2816856 2843904 2861568 2956581 2967552 2985984 3014656 3066084 3085128 3096576 3114752 3199392 3219264 3250176 3338496 3391488 3483648 3504096 3538944 3599316 3656448 3755808 3791872 3815424 3919104 3942108 3956736 3981312 4088112 4113504 4128768 4265856 4292352 4333568 4451328 4478976 4521984 4599126 4627692 4644864 4672128 4799088 4875264 5007744 5087232 5225472 5256144 5275648 5308416 5398974 5450816 5484672 5505024 5633712 5687808 5723136 5913162 5935104 5971968 6029312 6132168 6170256 6193152 6229504 6398784 6438528 6500352 6676992 6782976 6898689 6967296 7008192 7077888 7198632 7312896 7511616 7583744 7630848 7838208 7884216 7913472 7962624 8098461 8176224 8227008 8257536 8531712 8584704 8667136 8869743 8902656 8957952 9043968 9198252 9255384 9289728 9344256 9598176 9750528 10015488 10174464 10450944 10512288 10551296 10616832 10797948 10901632 10969344 11267424 11375616 11446272 11826324 11870208 11943936 12264336 12340512 12386304 12459008 12797568 12877056 13000704 13353984 13565952 13797378 13934592 14016384 14397264 14625792 15023232 15167488 15261696 15676416 15768432 15826944 15925248 16196922 16352448 16454016 16515072 17063424 17169408 17334272 17739486 17805312 17915904 18087936 18396504 18510768 18579456 18688512 19196352 19501056 20030976 20348928 20696067 20901888 21024576 21102592 21233664 21595896 21803264 21938688 22534848 22751232 22892544 23652648 23740416 23887872 24528672 24681024 24772608 24918016 25595136 25754112 26001408 26609229 26707968 27131904 27594756 27869184 28032768 28794528 29251584 30046464 30334976 30523392 31352832 31536864 31653888 31850496 32393844 32704896 32908032 34126848 34338816 34668544 35478972 35610624 35831808 36793008 37021536 37158912 37377024 38392704 39002112 40061952 40697856 41392134 41803776 42049152 42205184 43191792 43606528 43877376 45069696 45502464 45785088 47305296 47480832 47775744 49057344 49362048 49545216 49836032 51190272 51508224 52002816 53218458 53415936 54263808 55189512 55738368 56065536 57589056 58503168 60092928 60669952 61046784 62088201 62705664 63073728 63307776 63700992 64787688 65409792 65816064 68253696 68677632 69337088 70957944 71221248 71663616 73586016 74043072 74317824 74754048 76785408 78004224 80123904 81395712 82784268 83607552 84098304 86383584 87213056 87754752 90139392 91004928 91570176 94610592 94961664 95551488 98114688 98724096 99672064 102380544 103016448 104005632 106436916 106831872 110379024 111476736 112131072 115178112 117006336 120185856 121339904 122093568 124176402 125411328 126147456 126615552 129575376 130819584 131632128 136507392 137355264 138674176 141915888 142442496 143327232 147172032 148086144 148635648 149508096 153570816 156008448 160247808 162791424 165568536 167215104 168196608 172767168 174426112 175509504 180278784 182009856 183140352 186264603 189221184 189923328 191102976 196229376 197448192 199344128 204761088 206032896 208011264 212873832 213663744 220758048 222953472 224262144 230356224 234012672 240371712 242679808 244187136 248352804 250822656 252294912 259150752 261639168 263264256 273014784 274710528 283831776 284884992 286654464 294344064 296172288 299016192 307141632 312016896 320495616 331137072 334430208 336393216 345534336 348852224 351019008 360557568 364019712 366280704 372529206 378442368 379846656 392458752 394896384 398688256 409522176 412065792 416022528 425747664 427327488 441516096 445906944 448524288 460712448 468025344 480743424 485359616 488374272 496705608 501645312 504589824 518301504 523278336 526528512 546029568 549421056 567663552 569769984 573308928 588688128 592344576 598032384 614283264 624033792 640991232 662274144 668860416 672786432 691068672 697704448 702038016 721115136 728039424 732561408 745058412 756884736 784917504 789792768 797376512 819044352 824131584 851495328 854654976 883032192 897048576 921424896 936050688 961486848 970719232 993411216 1003290624 1009179648 1036603008 1046556672 1053057024 1092059136 1098842112 1135327104 1139539968 1177376256 1184689152 1196064768 1228566528 1248067584 1281982464 1324548288 1337720832 1345572864 1382137344 1395408896 1404076032 1442230272 1456078848 1465122816 1490116824 1513769472 1569835008 1579585536 1594753024 1638088704 1648263168 1702990656 1709309952 1766064384 1794097152 1842849792 1872101376 1922973696 1986822432 2006581248 2018359296 2073206016 2093113344 2106114048 2184118272 2197684224 2270654208 2354752512 2369378304 2392129536 2457133056 2563964928 2649096576 2691145728 2764274688 2790817792 2808152064 2884460544 2912157696 2980233648 3027538944 3139670016 3159171072 3189506048 3276177408 3296526336 3405981312 3418619904 3532128768 3588194304 3685699584 3744202752 3845947392 3973644864 4013162496 4036718592 4146412032 4186226688 4212228096 4368236544 4395368448 4541308416 4709505024 4738756608 4784259072 4914266112 5127929856 5298193152 5382291456 5528549376 5581635584 5616304128 5768921088 5960467296 6055077888 6279340032 6318342144 6552354816 6593052672 6811962624 7064257536 7176388608 7371399168 7691894784 7947289728 8073437184 8292824064 8372453376 8424456192 8736473088 9082616832 9419010048 9477513216 9568518144 9828532224 10255859712 10596386304 10764582912 11057098752 11163271168 11232608256 11537842176 11920934592 12110155776 12558680064 12636684288 13104709632 13186105344 13623925248 14128515072 14352777216 14742798336 15383789568 15894579456 16146874368 16585648128 16744906752 16848912384 18165233664 18838020096 18955026432 19657064448 21192772608 21529165824 22114197504 22326542336 23075684352 23841869184 24220311552 25117360128 25273368576 26209419264 27247850496 28257030144 28705554432 29485596672 30767579136 31789158912 32293748736 33171296256 33489813504 33697824768 36330467328 37676040192 37910052864 39314128896 42385545216 43058331648 44228395008 46151368704 47683738368 48440623104 50234720256 50546737152 54495700992 56514060288 58971193344 63578317824 64587497472 66342592512 66979627008 72660934656 75352080384 75820105728 78628257792 84771090432 86116663296 88456790016 92302737408 95367476736 96881246208 100469440512 101093474304 108991401984 113028120576 117942386688 127156635648 129174994944 132685185024 145321869312 150704160768 151640211456 169542180864 176913580032 190734953472 193762492416 200938881024 217982803968 226056241152 235884773376 254313271296 258349989888 265370370048 290643738624 301408321536 303280422912 339084361728 353827160064 381469906944 387524984832 435965607936 452112482304 508626542592 530740740096 581287477248 602816643072 678168723456 707654320128 762939813888 775049969664 871931215872 904224964608 1017253085184 1061481480192 1162574954496 1356337446912 1525879627776 1743862431744 1808449929216 2034506170368 2122962960384 2325149908992 2712674893824 3051759255552 3487724863488 4069012340736 5425349787648 6103518511104 6975449726976 8138024681472 12207037022208 16276049362944 24414074044416 48828148088832
- Sum of all divisors σ(n): 174992739993600
- Sum of proper divisors (its aliquot sum) s(n): 126164591904768
- 48828148088832 is an abundant number, because the sum of its proper divisors (126164591904768) is greater than itself. Its abundance is 77336443815936
Bases of 48828148088832
- Binary: 10110001101000101100000110110000000000000000002
- Hexadecimal: 0x2C68B06C0000
- Base-36: HB3CAO000
Squares and roots of 48828148088832
- 48828148088832 squared (488281480888322) is 2384188045784908094163124224
- 48828148088832 cubed (488281480888323) is 116415486971208461071359921572555803066368
-
The
square root of 48828148088832 is 6987714.0817889795 -
The
cube root of 48828148088832 is 36550.2274886971
Scales and comparisons
How big is 48828148088832?- 48,828,148,088,832 seconds is equal to 1,552,584 years, 3 weeks, 5 days, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 48,828,148,088,832 would take you about three million, eight hundred eighty-one thousand, four hundred sixty 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 48828148088832 cubic inches would be around 3045.9 feet tall.
Recreational maths with 48828148088832
- 48828148088832 backwards is 23888084182884
- 48828148088832 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48828148088832's digits is 72
- More coming soon!
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"Number 48828148088832 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 48828148088832 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/48828148088832/
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The information we have on file for 48828148088832 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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