48830648944000
48,830,648,944,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48830648944000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2048 divisors.
48830648944000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 48830648944000:
27 × 53 × 73 × 11 × 31 × 97 × 269
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 31 × 97 × 269)See below for interesting mathematical facts about the number 48830648944000 from the Numbermatics database.
Names of 48830648944000
- Cardinal: 48830648944000 can be written as Forty-eight trillion, eight hundred thirty billion, six hundred forty-eight million, nine hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.8830648944 × 1013
Factors of 48830648944000
Divisors of 48830648944000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 31 32 35 40 44 49 50 55 56 62 64 70 77 80 88 97 98 100 110 112 124 125 128 140 154 155 160 175 176 194 196 200 217 220 224 245 248 250 269 275 280 308 310 320 341 343 350 352 385 388 392 400 434 440 448 485 490 496 500 538 539 550 560 616 620 640 679 682 686 700 704 770 775 776 784 800 868 875 880 896 970 980 992 1000 1067 1076 1078 1085 1100 1120 1225 1232 1240 1345 1358 1364 1372 1375 1400 1408 1519 1540 1550 1552 1568 1600 1705 1715 1736 1750 1760 1883 1925 1940 1960 1984 2000 2134 2152 2156 2170 2200 2240 2387 2425 2450 2464 2480 2690 2695 2716 2728 2744 2750 2800 2959 3007 3038 3080 3100 3104 3136 3200 3395 3410 3430 3472 3500 3520 3766 3773 3850 3875 3880 3920 3968 4000 4268 4304 4312 4340 4400 4480 4753 4774 4850 4900 4928 4960 5335 5380 5390 5425 5432 5456 5488 5500 5600 5918 6014 6076 6125 6160 6200 6208 6272 6725 6790 6820 6860 6944 7000 7040 7469 7532 7546 7595 7700 7750 7760 7840 8000 8339 8525 8536 8575 8608 8624 8680 8800 9415 9506 9548 9625 9700 9800 9856 9920 10633 10670 10760 10780 10850 10864 10912 10976 11000 11200 11836 11935 12028 12125 12152 12250 12320 12400 12416 13181 13450 13475 13580 13640 13720 13888 14000 14795 14938 15035 15064 15092 15190 15400 15500 15520 15680 16000 16678 16709 16975 17050 17072 17150 17216 17248 17360 17600 18830 18865 19012 19096 19250 19400 19600 19840 20713 21049 21266 21340 21520 21560 21700 21728 21824 21952 22000 22400 23672 23765 23870 24056 24250 24304 24500 24640 24800 26093 26362 26675 26900 26950 27125 27160 27280 27440 27776 28000 29590 29876 30070 30128 30184 30380 30800 31000 31040 31360 33077 33271 33356 33418 33625 33950 34100 34144 34300 34432 34496 34720 35200 37345 37660 37730 37975 38024 38192 38500 38800 39200 41426 41695 42098 42532 42625 42680 42875 43040 43120 43400 43456 43648 43904 44000 47075 47344 47530 47740 48112 48500 48608 49000 49280 49600 52186 52283 52724 53165 53350 53800 53900 54250 54320 54560 54880 56000 58373 59180 59675 59752 60140 60256 60368 60760 61600 62000 62080 65905 66154 66542 66712 66836 67250 67375 67900 68200 68288 68600 68992 69440 73975 74690 75175 75320 75460 75950 76048 76384 77000 77600 78400 82852 83390 83545 84196 84875 85064 85250 85360 85750 86080 86240 86800 86912 88000 91729 92267 94150 94325 94688 95060 95480 96224 97000 97216 98000 99200 103565 104372 104566 105245 105448 106330 106700 107600 107800 108500 108640 109120 109760 112000 116746 116963 118360 118825 119350 119504 120280 120512 120736 121520 123200 124000 130465 131810 132308 133084 133375 133424 133672 134500 134750 135800 136400 136576 137200 138880 144991 147343 147950 149380 150350 150640 150920 151900 152096 152768 154000 155200 156800 165385 165704 166355 166780 167090 168392 169750 170128 170500 170720 171500 172160 172480 173600 176000 182651 183458 184534 186725 188300 188650 189376 189875 190120 190960 192448 194000 194432 196000 207130 208475 208744 209132 210490 210896 212660 213400 215200 215600 217000 217280 218240 219520 231539 233492 233926 235375 236720 237650 238700 239008 240560 241024 241472 243040 246400 248000 260930 261415 263620 264616 265825 266168 266750 266848 267344 269000 269500 271600 272800 274400 287023 289982 291865 294686 295900 298375 298760 300700 301280 301840 303800 304192 305536 308000 310400 329525 330770 331408 332710 333560 334180 336784 339500 340256 341000 341440 343000 344960 347200 365302 365981 366916 369068 369875 373450 375875 376600 377300 378752 379750 380240 381920 384896 388000 392000 408611 414260 416950 417488 417725 418264 420980 421792 425320 426800 430400 431200 434000 434560 458645 461335 463078 466984 467852 470750 471625 473440 475300 477400 478016 481120 482944 486080 496000 517825 521860 522830 526225 527240 529232 531650 532336 533500 533696 534688 538000 539000 543200 545600 548800 574046 579964 583730 584815 589372 591800 594125 596750 597520 601400 602560 603680 607600 608384 616000 642103 652325 659050 661540 662816 665420 667120 668360 673568 679000 680512 682000 682880 686000 694400 724955 730604 731962 733832 736715 738136 739750 746900 751750 753200 754600 759500 760480 763840 776000 784000 808883 817222 826925 828520 831775 833900 834976 835450 836528 841960 843584 850640 853600 860800 862400 868000 913255 917290 922670 926156 933625 933968 935704 941500 943250 946880 950600 954800 956032 962240 972160 1014937 1031401 1035650 1042375 1043720 1045660 1052450 1054480 1058464 1063300 1064672 1067000 1067392 1069376 1076000 1078000 1086400 1091200 1097600 1148092 1157695 1159928 1167460 1169630 1178744 1183600 1188250 1193500 1195040 1202800 1205120 1207360 1215200 1232000 1278557 1284206 1304650 1307075 1318100 1323080 1325632 1329125 1330840 1334240 1336720 1347136 1358000 1361024 1364000 1372000 1435115 1449910 1459325 1461208 1463924 1467664 1473430 1476272 1479500 1493800 1503500 1506400 1509200 1519000 1520960 1527680 1552000 1617766 1620773 1634444 1647625 1653850 1657040 1663550 1667800 1669952 1670900 1673056 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1278557000 1284206000 1285863040 1294212800 1296618400 1307555200 1387234345 1406412700 1415545250 1418176375 1423634080 1430138500 1431983840 1438310720 1452212608 1461208000 1463924000 1467664000 1476272000 1557099775 1573152350 1575182224 1585410680 1607328800 1617766000 1620773000 1623899200 1634444000 1650241600 1743951748 1758015875 1779542600 1789979800 1797888400 1800208256 1811897920 1815265760 1830577280 1852312000 1871408000 1968977780 1981763350 1993087712 2009161000 2013635008 2029874000 2045691200 2054729600 2062802000 2179939685 2219574952 2224428250 2237474750 2247360500 2250260320 2264872400 2269082200 2288221600 2296184000 2319856000 2357488000 2461222225 2491359640 2517043760 2536657088 2557114000 2568412000 2588425600 2593236800 2774468690 2812825400 2831090500 2836352750 2847268160 2860277000 2863967680 2876621440 2922416000 2927848000 3051915559 3114199550 3146304700 3150364448 3170821360 3214657600 3235532000 3241546000 3247798400 3268888000 3300483200 3487903496 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12456798200 12585218800 12601457792 12683285440 12942128000 12966184000 13872343450 13951613984 14064127000 14236340800 14319838400 14383107200 15259577795 15570997750 15731523500 15751822240 15854106800 16073288000 16238992000 16502416000 17439517480 17756599616 17795426000 17899798000 17978884000 18118979200 18152657600 19689777800 19817633500 19930877120 20136350080 20456912000 21799396850 22195749520 22502603200 22648724000 22690822000 22882216000 24415324472 24612222250 24913596400 25170437600 25366570880 25932368000 27744686900 27903227968 28128254000 28472681600 28639676800 30519155590 31141995500 31463047000 31503644480 31708213600 32146576000 34680858625 34879034960 35513199232 35590852000 35799596000 35957768000 36305315200 39379555600 39635267000 39861754240 43598793700 44391499040 45005206400 45297448000 45381644000 45764432000 48830648944 49224444500 49827192800 50340875200 54498492125 55489373800 55806455936 56256508000 61038311180 62283991000 62926094000 63007288960 63416427200 69361717250 69758069920 71181704000 71599192000 71915536000 76297888975 78759111200 79270534000 87197587400 88782998080 90594896000 90763288000 97661297888 98448889000 99654385600 100681750400 108996984250 110978747600 112513016000 122076622360 124567982000 125852188000 126832854400 138723434500 139516139840 142363408000 143198384000 152595777950 157518222400 158541068000 174395174800 177565996160 181526576000 195322595776 196897778000 199308771200 217993968500 221957495200 225026032000 244153244720 249135964000 251704376000 277446869000 279032279680 305191555900 315036444800 317082136000 348790349600 381489444875 390645191552 393795556000 435987937000 443914990400 488306489440 498271928000 503408752000 554893738000 610383111800 634164272000 697580699200 762978889750 787591112000 871975874000 887829980800 976612978880 996543856000 1109787476000 1220766223600 1395161398400 1525957779500 1575182224000 1743951748000 1953225957760 2219574952000 2441532447200 3051915559000 3487903496000 4439149904000 4883064894400 6103831118000 6975806992000 9766129788800 12207662236000 24415324472000 48830648944000
- Sum of all divisors σ(n): 161676103680000
- Sum of proper divisors (its aliquot sum) s(n): 112845454736000
- 48830648944000 is an abundant number, because the sum of its proper divisors (112845454736000) is greater than itself. Its abundance is 64014805792000
Bases of 48830648944000
- Binary: 10110001101001010001010111110000000101100000002
- Hexadecimal: 0x2C69457C0580
- Base-36: HB4HNM074
Squares and roots of 48830648944000
- 48830648944000 squared (488306489440002) is 2384432276292168315136000000
- 48830648944000 cubed (488306489440003) is 116433375414365684972965977616384000000000
-
The
square root of 48830648944000 is 6987893.0260844721 -
The
cube root of 48830648944000 is 36550.8514816765
Scales and comparisons
How big is 48830648944000?- 48,830,648,944,000 seconds is equal to 1,552,663 years, 30 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 48,830,648,944,000 would take you about three million, eight hundred eighty-one thousand, six hundred fifty-eight 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 48830648944000 cubic inches would be around 3045.9 feet tall.
Recreational maths with 48830648944000
- 48830648944000 backwards is 00044984603884
- The number of decimal digits it has is: 14
- The sum of 48830648944000's digits is 58
- More coming soon!
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Cite this page
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"Number 48830648944000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 48830648944000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/48830648944000/
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The information we have on file for 48830648944000 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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