48142311168208400
48,142,311,168,208,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48142311168208400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
48142311168208400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 48142311168208400:
24 × 52 × 11 × 13 × 43 × 967 × 20241187
(2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 43 × 967 × 20241187)See below for interesting mathematical facts about the number 48142311168208400 from the Numbermatics database.
Names of 48142311168208400
- Cardinal: 48142311168208400 can be written as Forty-eight quadrillion, one hundred forty-two trillion, three hundred eleven billion, one hundred sixty-eight million, two hundred eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.81423111682084 × 1016
Factors of 48142311168208400
Divisors of 48142311168208400
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 40 43 44 50 52 55 65 80 86 88 100 104 110 130 143 172 176 200 208 215 220 260 275 286 325 344 400 430 440 473 520 550 559 572 650 688 715 860 880 946 967 1040 1075 1100 1118 1144 1300 1430 1720 1892 1934 2150 2200 2236 2288 2365 2600 2795 2860 3440 3575 3784 3868 4300 4400 4472 4730 4835 5200 5590 5720 6149 7150 7568 7736 8600 8944 9460 9670 10637 11180 11440 11825 12298 12571 13975 14300 15472 17200 18920 19340 21274 22360 23650 24175 24596 25142 27950 28600 30745 37840 38680 41581 42548 44720 47300 48350 49192 50284 53185 55900 57200 61490 62855 77360 83162 85096 94600 96700 98384 100568 106370 111800 122980 125710 138281 153725 166324 170192 189200 193400 201136 207905 212740 223600 245960 251420 265925 276562 307450 314275 332648 386800 415810 425480 457391 491920 502840 531850 540553 553124 614900 628550 665296 691405 831620 850960 914782 1005680 1039525 1063700 1081106 1106248 1229800 1257100 1382810 1663240 1829564 2079050 2127400 2162212 2212496 2286955 2459600 2514200 2702765 2765620 3326480 3457025 3659128 4158100 4254800 4324424 4573910 5028400 5405530 5531240 5946083 6914050 7318256 8316200 8648848 9147820 10811060 11062480 11434775 11892166 13513825 13828100 16632400 18295640 20241187 21622120 22869550 23784332 27027650 27656200 29730415 36591280 40482374 43244240 45739100 47568664 54055300 55312400 59460830 80964748 91478200 95137328 101205935 108110600 118921660 148652075 161929496 182956400 202411870 216221200 222653057 237843320 263135431 297304150 323858992 404823740 445306114 475686640 506029675 526270862 594608300 809647480 870371041 890612228 1012059350 1052541724 1113265285 1189216600 1315677155 1619294960 1740742082 1781224456 2024118700 2105083448 2226530570 2378433200 2631354310 2894489741 3481484164 3562448912 4048237400 4210166896 4351855205 4453061140 5262708620 5566326425 5788979482 6578385775 6962968328 8096474800 8703710410 8906122280 9574081451 10525417240 11132652850 11314823533 11577958964 13156771550 13925936656 14472448705 17407420820 17812244560 19148162902 19573227829 21050834480 21759276025 22265305700 22629647066 23155917928 26313543100 28944897410 34814841640 38296325804 39146455658 43518552050 44530611400 45259294132 46311835856 47870407255 52627086200 56574117665 57889794820 69629683280 72362243525 76592651608 78292911316 87037104100 89061222800 90518588264 95740814510 97866139145 105254172400 113148235330 115779589640 124463058863 144724487050 153185303216 156585822632 174074208200 181037176528 191481629020 195732278290 215305506119 226296470660 231559179280 239352036275 248926117726 254451961777 282870588325 289448974100 313171645264 348148416400 382963258040 391464556580 430611012238 452592941320 478704072550 489330695725 497852235452 508903923554 565741176650 578897948200 622315294315 765926516080 782929113160 841648796647 861222024476 905185882640 957408145100 978661391450 995704470904 1017807847108 1076527530595 1131482353300 1157795896400 1244630588630 1272259808885 1565858226320 1683297593294 1722444048952 1914816290200 1957322782900 1991408941808 2035615694216 2153055061190 2262964706600 2489261177260 2544519617770 2798971579547 3111576471575 3366595186588 3444888097904 3829632580400 3914645565800 4071231388432 4208243983235 4306110122380 4525929413200 4978522354520 5089039235540 5382637652975 5597943159094 6223152943150 6361299044425 6733190373176 7829291131600 8416487966470 8612220244760 9258136763117 9957044709040 10178078471080 10765275305950 10941434356411 11195886318188 12446305886300 12722598088850 13466380746352 13994857897735 16832975932940 17224440489520 18516273526234 20356156942160 21041219916175 21530550611900 21882868712822 22391772636376 24892611772600 25445196177700 27989715795470 33665951865880 37032547052468 42082439832350 43061101223800 43765737425644 44783545272752 46290683815585 49785223545200 50890392355400 54707171782055 55979431590940 67331903731760 69974289488675 74065094104936 84164879664700 86122202447600 87531474851288 92581367631170 101780784710800 109414343564110 111958863181880 120355777920521 139948578977350 148130188209872 168329759329400 175062949702576 185162735262340 218828687128220 223917726363760 231453419077925 240711555841042 273535858910275 279897157954700 336659518658800 370325470524680 437657374256440 462906838155850 481423111682084 547071717820550 559794315909400 601778889602605 740650941049360 875314748512880 925813676311700 962846223364168 1094143435641100 1119588631818800 1203557779205210 1851627352623400 1925692446728336 2188286871282200 2407115558410420 3008894448013025 3703254705246800 4376573742564400 4814231116820840 6017788896026050 9628462233641680 12035577792052100 24071155584104200 48142311168208400
- Sum of all divisors σ(n): 139186367846980608
- Sum of proper divisors (its aliquot sum) s(n): 91044056678772208
- 48142311168208400 is an abundant number, because the sum of its proper divisors (91044056678772208) is greater than itself. Its abundance is 42901745510563808
Bases of 48142311168208400
- Binary: 101010110000100100101101010010111101100011101110000100002
- Hexadecimal: 0xAB092D4BD8EE10
- Base-36: D610WFJWTU8
Squares and roots of 48142311168208400
- 48142311168208400 squared (481423111682084002) is 2317682124616603239518865830560000
- 48142311168208400 cubed (481423111682084003) is 111578574032286870810884173536378015333168704000000
-
The
square root of 48142311168208400 is 219413561.9514172145 -
The
cube root of 48142311168208400 is 363782.9260813185
Scales and comparisons
How big is 48142311168208400?- 48,142,311,168,208,400 seconds is equal to 1,530,776,581 years, 10 weeks, 3 days, 23 hours, 13 minutes, 20 seconds.
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To count from 1 to 48,142,311,168,208,400 would take you about four billion, five hundred ninety-two million, three hundred twenty-nine thousand, seven hundred forty-three 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 48142311168208400 cubic inches would be around 30315.2 feet tall.
Recreational maths with 48142311168208400
- 48142311168208400 backwards is 00480286111324184
- The number of decimal digits it has is: 17
- The sum of 48142311168208400's digits is 53
- More coming soon!
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"Number 48142311168208400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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The information we have on file for 48142311168208400 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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