48438725798400
48,438,725,798,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48438725798400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
48438725798400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 48438725798400:
29 × 3 × 52 × 7 × 292 × 472 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 29 × 29 × 47 × 47 × 97)See below for interesting mathematical facts about the number 48438725798400 from the Numbermatics database.
Names of 48438725798400
- Cardinal: 48438725798400 can be written as Forty-eight trillion, four hundred thirty-eight billion, seven hundred twenty-five million, seven hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.84387257984 × 1013
Factors of 48438725798400
Divisors of 48438725798400
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 32 35 40 42 47 48 50 56 58 60 64 70 75 80 84 87 94 96 97 100 105 112 116 120 128 140 141 145 150 160 168 174 175 188 192 194 200 203 210 224 232 235 240 256 280 282 290 291 300 320 329 336 348 350 376 384 388 400 406 420 435 448 464 470 480 485 512 525 560 564 580 582 600 609 640 658 672 679 696 700 705 725 752 768 776 800 812 840 841 870 896 928 940 960 970 987 1015 1050 1120 1128 1160 1164 1175 1200 1218 1280 1316 1344 1358 1363 1392 1400 1410 1450 1455 1504 1536 1552 1600 1624 1645 1680 1682 1740 1792 1856 1880 1920 1940 1974 2030 2037 2100 2175 2209 2240 2256 2320 2328 2350 2400 2425 2436 2523 2560 2632 2688 2716 2726 2784 2800 2813 2820 2900 2910 3008 3045 3104 3200 3248 3290 3360 3364 3395 3480 3525 3584 3712 3760 3840 3880 3948 4060 4074 4089 4200 4205 4350 4418 4480 4512 4559 4640 4656 4700 4800 4850 4872 4935 5046 5075 5264 5376 5432 5452 5568 5600 5626 5640 5800 5820 5887 6016 6090 6208 6400 6496 6580 6627 6720 6728 6790 6815 6960 7050 7275 7424 7520 7680 7760 7896 8120 8148 8178 8225 8400 8410 8439 8700 8836 8960 9024 9118 9280 9312 9400 9541 9600 9700 9744 9870 10092 10150 10185 10528 10752 10864 10904 11045 11136 11200 11252 11280 11600 11640 11774 12032 12180 12416 12615 12800 12992 13160 13254 13440 13456 13580 13630 13677 13920 14065 14100 14550 14848 15040 15225 15463 15520 15792 16240 16296 16356 16450 16800 16820 16878 16975 17400 17661 17672 17920 18048 18236 18560 18624 18800 19082 19200 19400 19488 19691 19740 20184 20300 20370 20445 21025 21056 21728 21808 22090 22272 22400 22504 22560 22795 23200 23280 23548 24064 24360 24675 24832 25230 25984 26320 26508 26880 26912 27160 27260 27354 27840 28130 28200 28623 29100 29435 30080 30450 30926 31040 31584 31913 32480 32592 32712 32900 33135 33600 33640 33756 33950 34075 34800 35322 35344 36096 36472 37120 37248 37600 38164 38400 38800 38976 39382 39480 39527 40368 40600 40740 40890 42050 42112 42195 43456 43616 44180 44544 44800 45008 45120 45590 46389 46400 46560 47096 47705 48720 49350 49664 50460 50925 51968 52640 53016 53760 53824 54320 54520 54708 55225 55680 56260 56400 57246 58200 58870 59073 60160 60900 61852 62080 63075 63168 63826 64061 64960 65184 65424 65800 66270 67200 67280 67512 67900 68150 68385 69600 70325 70644 70688 72192 72944 74240 74496 75200 76328 77315 77600 77952 78764 78960 79054 80736 81200 81480 81577 81780 84100 84224 84390 86912 87232 88305 88360 89600 90016 90240 91180 92778 92800 93120 94192 95410 95739 97440 98455 98700 100920 101850 102225 103936 105280 106032 107648 108640 109040 109416 110450 111360 112520 112800 113975 114492 116400 117740 118146 118581 120320 121800 123704 124160 126150 126336 127652 128122 129920 130368 130848 131600 132211 132540 134400 134560 135024 135800 136300 136770 139200 140650 141288 141376 143115 145888 147175 148992 150400 152656 154630 155200 155904 157528 157920 158108 159565 161472 162400 162960 163154 163560 165675 168200 168448 168780 173824 174464 176610 176720 180032 180480 182360 185556 185600 186240 188384 190820 191478 192183 194880 196910 197400 197635 201840 203700 204450 210560 210975 212064 214273 215296 217280 218080 218832 220900 222720 225040 225600 227950 228984 231945 232800 235480 236292 237162 238525 243600 244731 247408 248320 252300 252672 255304 256244 259840 260736 261696 263200 264422 265080 268800 269120 270048 271600 272600 273540 276689 278400 281300 282576 282752 286230 291776 294350 295365 300800 305312 309260 310400 311808 315056 315840 316216 319130 320305 322944 324800 325920 326308 327120 331350 336400 337560 341925 347648 348928 353220 353440 360064 360960 364720 371112 371200 372480 376768 381640 382956 384366 386575 389760 393820 394800 395270 396633 403680 407400 407885 408900 421120 421950 424128 428546 430592 434560 436160 437664 441525 441800 448427 450080 451200 455900 457968 463890 465600 470960 472584 474324 477050 478695 487200 489462 492275 494816 504600 505344 510608 512488 519680 521472 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2080701280 2087876112 2124971520 2147106640 2152449600 2162443116 2174870950 2192789760 2221144800 2229322800 2300471400 2303863296 2369221120 2377944320 2386144128 2399857600 2453836160 2459942400 2485566800 2496841536 2522850302 2538451200 2576527968 2600876600 2609845140 2656214400 2683883300 2703053895 2740987200 2742694400 2783834816 2853533184 2869932800 2879829120 2883257488 2944603392 2961526400 2972430400 2982680160 3067295200 3121051920 3132556800 3181525504 3220659960 3262306425 3329122048 3435370624 3443919360 3479793520 3541619200 3553831680 3566916480 3599786400 3604071860 3654649600 3680754240 3728350200 3784275453 3839772160 3901314900 3976906880 4025824950 4114041600 4161402560 4175752224 4294213280 4304899200 4324886232 4349741900 4385579520 4442289600 4458645600 4505089825 4600942800 4755888640 4772288256 4799715200 4907672320 4971133600 4993683072 5045700604 5076902400 5153055936 5201753200 5219690280 5312428800 5367766600 5406107790 5481974400 5567669632 5739865600 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20182802416 20612223744 20807012800 20878761120 21471066400 21624431160 21927897600 22270678528 23066059904 23779443200 23861441280 24538361600 24968415360 25228503020 25765279680 26098451400 27030538950 27838348160 28798291200 28832574880 29446033920 29826801600 30274203624 31210519200 31535628775 32206599600 33291220480 33406017792 34353706240 34599089856 34797935200 35538316800 35669164800 36040718600 36807542400 37842754530 39769068800 40365604832 41224447488 41614025600 41757522240 42942132800 43248862320 46132119808 47722882560 49076723200 49936830720 50457006040 51530559360 52196902800 54061077900 55676696320 57596582400 57665149760 59653603200 60548407248 62421038400 63071257550 64413199200 66812035584 68707412480 69198179712 69595870400 71338329600 72081437200 73615084800 75685509060 79538137600 80731209664 83228051200 83515044480 85884265600 86497724640 92264239616 94606886325 99873661440 100914012080 103061118720 104393805600 108122155800 111353392640 115330299520 119307206400 121096814496 124842076800 126142515100 128826398400 138396359424 139191740800 144162874400 147230169600 151371018120 161462419328 166456102400 167030088960 171768531200 172995449280 189213772650 201828024160 206122237440 208787611200 216244311600 230660599040 238614412800 242193628992 249684153600 252285030200 257652796800 276792718848 278383481600 288325748800 302742036240 322924838656 334060177920 343537062400 345990898560 378427545300 403656048320 417575222400 432488623200 461321198080 484387257984 499368307200 504570060400 515305593600 556766963200 576651497600 605484072480 645849677312 691981797120 756855090600 807312096640 835150444800 864977246400 968774515968 1009140120800 1030611187200 1153302995200 1210968144960 1383963594240 1513710181200 1614624193280 1670300889600 1729954492800 1937549031936 2018280241600 2306605990400 2421936289920 3027420362400 3229248386560 3459908985600 4036560483200 4843872579840 6054840724800 6919817971200 8073120966400 9687745159680 12109681449600 16146241932800 24219362899200 48438725798400
- Sum of all divisors σ(n): 195507352936896
- Sum of proper divisors (its aliquot sum) s(n): 147068627138496
- 48438725798400 is an abundant number, because the sum of its proper divisors (147068627138496) is greater than itself. Its abundance is 98629901340096
Bases of 48438725798400
- Binary: 10110000001110000001010000101101101010000000002
- Hexadecimal: 0x2C0E050B6A00
- Base-36: H64FYOTMO
Squares and roots of 48438725798400
- 48438725798400 squared (484387257984002) is 2346310156972581717442560000
- 48438725798400 cubed (484387257984003) is 113652274331595747678137110342139904000000
-
The
square root of 48438725798400 is 6959793.5169371225 -
The
cube root of 48438725798400 is 36452.8008917963
Scales and comparisons
How big is 48438725798400?- 48,438,725,798,400 seconds is equal to 1,540,201 years, 33 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 48,438,725,798,400 would take you about three million, eight hundred fifty thousand, five hundred four 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 48438725798400 cubic inches would be around 3037.7 feet tall.
Recreational maths with 48438725798400
- 48438725798400 backwards is 00489752783484
- The number of decimal digits it has is: 14
- The sum of 48438725798400's digits is 69
- More coming soon!
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"Number 48438725798400 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 48438725798400 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/48438725798400/
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The information we have on file for 48438725798400 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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