48808320213199680
48,808,320,213,199,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 48808320213199680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2688 divisors.
48808320213199680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 48808320213199680:
26 × 33 × 5 × 72 × 313 × 1573
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 31 × 31 × 31 × 157 × 157 × 157)See below for interesting mathematical facts about the number 48808320213199680 from the Numbermatics database.
Names of 48808320213199680
- Cardinal: 48808320213199680 can be written as Forty-eight quadrillion, eight hundred eight trillion, three hundred twenty billion, two hundred thirteen million, one hundred ninety-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.880832021319968 × 1016
Factors of 48808320213199680
Divisors of 48808320213199680
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 31 32 35 36 40 42 45 48 49 54 56 60 62 63 64 70 72 80 84 90 93 96 98 105 108 112 120 124 126 135 140 144 147 155 157 160 168 180 186 189 192 196 210 216 217 224 240 245 248 252 270 279 280 288 294 310 314 315 320 336 360 372 378 392 420 432 434 441 448 465 471 480 490 496 504 540 558 560 576 588 620 628 630 651 672 720 735 744 756 784 785 837 840 864 868 882 930 942 945 960 961 980 992 1008 1080 1085 1099 1116 1120 1176 1240 1256 1260 1302 1323 1344 1395 1413 1440 1470 1488 1512 1519 1568 1570 1674 1680 1728 1736 1764 1860 1884 1890 1922 1953 1960 1984 2016 2160 2170 2198 2205 2232 2240 2352 2355 2480 2512 2520 2604 2646 2790 2826 2880 2883 2940 2976 3024 3038 3136 3140 3255 3297 3348 3360 3472 3528 3720 3768 3780 3844 3906 3920 4032 4185 4239 4320 4340 4396 4410 4464 4557 4704 4710 4805 4867 4960 5024 5040 5208 5292 5495 5580 5652 5766 5859 5880 5952 6048 6076 6280 6510 6594 6615 6696 6720 6727 6944 7056 7065 7440 7536 7560 7595 7688 7693 7812 7840 8370 8478 8640 8649 8680 8792 8820 8928 9114 9408 9420 9610 9734 9765 9891 9920 10048 10080 10416 10584 10990 11160 11304 11532 11718 11760 12096 12152 12560 13020 13188 13230 13392 13454 13671 13888 14112 14130 14415 14601 14880 15072 15120 15190 15376 15386 15624 15680 16485 16740 16956 17298 17360 17584 17640 17856 18228 18840 19220 19468 19530 19782 20160 20181 20832 21168 21195 21980 22320 22608 22785 23064 23079 23436 23520 24304 24335 24649 25120 25947 26040 26376 26460 26784 26908 27342 28224 28260 28830 29202 29295 29673 29760 29791 30144 30240 30380 30752 30772 31248 32970 33480 33635 33912 34069 34596 34720 35168 35280 36456 37680 38440 38465 38936 39060 39564 40362 41013 41664 42336 42390 43245 43803 43960 44640 45216 45570 46128 46158 46872 47040 47089 48608 48670 49298 49455 50240 51894 52080 52752 52920 53568 53816 54684 56520 57660 58404 58590 59346 59582 60480 60543 60760 61504 61544 62496 65940 66960 67270 67824 68138 68355 69192 69237 69440 70336 70560 72912 73005 73947 75360 76880 76930 77872 78120 79128 80724 82026 84672 84780 86490 87606 87920 89280 89373 90432 91140 92256 92316 93744 94178 97216 97340 98596 98910 100905 102207 103788 104160 105504 105840 107632 109368 113040 115320 115395 116808 117180 118692 119164 121086 121520 123088 123245 124992 129735 131409 131880 133920 134540 135648 136276 136710 138384 138474 141120 141267 145824 146010 147894 148365 148955 150720 150877 153760 153860 155744 156240 158256 161448 164052 169560 170345 172543 172980 175212 175840 178746 181629 182280 184512 184632 187488 188356 194680 197192 197820 201810 204414 205065 207576 207711 208320 208537 211008 211680 215264 218736 219015 221841 226080 230640 230790 233616 234360 235445 237384 238328 238483 242172 243040 246176 246490 259470 262818 263760 267840 268119 269080 271296 272552 273420 276768 276948 282534 291648 292020 295788 296730 297910 301754 302715 306621 307520 307720 311488 312480 316512 322896 328104 339120 340690 345086 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7255584987840 7263142888869 7289175659080 7378430871232 7401929058720 7497437820768 7772025511656 8032969093680 8070158765410 8200322616465 8300734730136 8330486467520 8464849152480 8635583901840 8747010790896 8882314870464 9223038589040 9371797275960 9684190518492 9715031889570 9840387139758 10028420015040 10157818982976 10362700682208 10375918412670 10710625458240 10933763488620 11067646306848 11102893588080 11246156731152 11298222271574 11514111869120 11662681054528 12105238148115 12451102095204 12495729701280 12697273728720 12912254024656 12953375852760 13120516186344 13834557883560 14057695913940 14526285777738 14578351318160 14803858117440 14994875641536 15544051023312 15563877619005 16065938187360 16140317530820 16400645232930 16601469460272 16929698304960 16947333407361 17271167803680 17494021581792 18446077178080 18743594551920 19368381036984 19430063779140 19680774279516 20725401364416 20751836825340 21789428666607 21867526977240 22135292613696 22205787176160 22492313462304 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99608816761632 101684000444166 103627006822080 104964129490752 108947143333035 110676463068480 112461567311520 112982222715740 116210286221904 124511020952040 129122540246560 131205161863440 135578667258888 145262857777380 152526000666249 154947048295872 155440510233120 157446194236128 166014694602720 169473334073610 174315429332856 174940215817920 180771556345184 193683810369840 196807742795160 199217633523264 203368000888332 217894286666070 224923134623040 225964445431480 232420572443808 249022041904080 254210001110415 258245080493120 262410323726880 271157334517776 290525715554760 305052001332498 310881020466240 314892388472256 332029389205440 338946668147220 348630858665712 361543112690368 387367620739680 393615485590320 406736001776664 435788573332140 451928890862960 464841144887616 498044083808160 508420002220830 524820647453760 542314669035552 581051431109520 610104002664996 677893336294440 697261717331424 762630003331245 774735241479360 787230971180640 813472003553328 871577146664280 903857781725920 996088167616320 1016840004441660 1084629338071104 1162102862219040 1220208005329992 1355786672588880 1394523434662848 1525260006662490 1574461942361280 1626944007106656 1743154293328560 1807715563451840 2033680008883320 2324205724438080 2440416010659984 2711573345177760 3050520013324980 3253888014213312 3486308586657120 4067360017766640 4880832021319968 5423146690355520 6101040026649960 6972617173314240 8134720035533280 9761664042639936 12202080053299920 16269440071066560 24404160106599840 48808320213199680
- Sum of all divisors σ(n): 208299812617728000
- Sum of proper divisors (its aliquot sum) s(n): 159491492404528320
- 48808320213199680 is an abundant number, because the sum of its proper divisors (159491492404528320) is greater than itself. Its abundance is 110683172191328640
Bases of 48808320213199680
- Binary: 101011010110011011101000100111000110010000101011010000002
- Hexadecimal: 0xAD66E89C642B40
- Base-36: DCL3SRHGEO0
Squares and roots of 48808320213199680
- 48808320213199680 squared (488083202131996802) is 2382252122034236456129303552102400
- 48808320213199680 cubed (488083202131996803) is 116273724400821454003445170639252167899095007232000
-
The
square root of 48808320213199680 is 220926051.4588528103 -
The
cube root of 48808320213199680 is 365452.7944464595
Scales and comparisons
How big is 48808320213199680?- 48,808,320,213,199,680 seconds is equal to 1,551,953,608 years, 38 weeks, 16 hours, 48 minutes.
-
To count from 1 to 48,808,320,213,199,680 would take you about four billion, six hundred fifty-five million, eight hundred sixty thousand, eight hundred twenty-six 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 48808320213199680 cubic inches would be around 30454.4 feet tall.
Recreational maths with 48808320213199680
- 48808320213199680 backwards is 08699131202380884
- 48808320213199680 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48808320213199680's digits is 72
- More coming soon!
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"Number 48808320213199680 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 48808320213199680 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/48808320213199680/
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The information we have on file for 48808320213199680 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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