48735132138000
48,735,132,138,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48735132138000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2400 divisors.
48735132138000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 48735132138000:
24 × 34 × 53 × 7 × 11 × 432 × 2113
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 43 × 43 × 2113)See below for interesting mathematical facts about the number 48735132138000 from the Numbermatics database.
Names of 48735132138000
- Cardinal: 48735132138000 can be written as Forty-eight trillion, seven hundred thirty-five billion, one hundred thirty-two million, one hundred thirty-eight thousand.
Scientific notation
- Scientific notation: 4.8735132138 × 1013
Factors of 48735132138000
Divisors of 48735132138000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 30 33 35 36 40 42 43 44 45 48 50 54 55 56 60 63 66 70 72 75 77 80 81 84 86 88 90 99 100 105 108 110 112 120 125 126 129 132 135 140 144 150 154 162 165 168 172 175 176 180 189 198 200 210 215 216 220 225 231 240 250 252 258 264 270 275 280 297 300 301 308 315 324 330 336 344 350 360 375 378 385 387 396 400 405 420 430 432 440 450 462 473 495 500 504 516 525 528 540 550 560 567 594 600 602 616 630 645 648 660 675 688 693 700 720 750 756 770 774 792 810 825 840 860 875 880 891 900 903 924 945 946 990 1000 1008 1032 1050 1075 1080 1100 1125 1134 1155 1161 1188 1200 1204 1232 1260 1290 1296 1320 1350 1375 1386 1400 1419 1485 1500 1505 1512 1540 1548 1575 1584 1620 1650 1680 1720 1750 1782 1800 1806 1848 1849 1890 1892 1925 1935 1980 2000 2025 2064 2079 2100 2113 2150 2160 2200 2250 2268 2310 2322 2365 2376 2408 2475 2520 2580 2625 2640 2700 2709 2750 2772 2800 2835 2838 2970 3000 3010 3024 3080 3096 3150 3225 3240 3300 3311 3375 3440 3465 3483 3500 3564 3600 3612 3696 3698 3780 3784 3850 3870 3960 4050 4125 4158 4200 4226 4257 4300 4400 4455 4500 4515 4536 4620 4644 4725 4730 4752 4816 4950 5040 5160 5250 5375 5400 5418 5500 5544 5547 5670 5676 5775 5805 5940 6000 6020 6160 6192 6237 6300 6339 6450 6480 6600 6622 6750 6930 6966 7000 7095 7128 7224 7396 7425 7525 7560 7568 7700 7740 7875 7920 8100 8127 8250 8316 8400 8452 8514 8600 8910 9000 9030 9072 9240 9245 9288 9450 9460 9625 9675 9900 9933 10125 10320 10395 10500 10565 10750 10800 10836 11000 11088 11094 11340 11352 11550 11610 11825 11880 12040 12375 12474 12600 12678 12771 12900 12943 13200 13244 13500 13545 13860 13932 14000 14175 14190 14256 14448 14791 14792 14850 15050 15120 15400 15480 15750 16125 16200 16254 16500 16555 16632 16641 16904 17028 17200 17325 17415 17820 18000 18060 18480 18490 18576 18900 18920 19017 19250 19350 19800 19866 20250 20339 20790 21000 21130 21285 21500 21672 22000 22188 22275 22575 22680 22704 23100 23220 23243 23625 23650 23760 24080 24381 24750 24948 25200 25356 25542 25800 25886 26488 27000 27090 27720 27735 27864 28350 28380 28875 29025 29582 29584 29700 29799 30100 30800 30960 31185 31500 31695 32250 32400 32508 33000 33110 33264 33282 33808 34056 34650 34830 35475 35640 36120 36980 37125 37625 37800 37840 38034 38313 38500 38700 38829 39600 39732 40500 40635 40678 41580 42000 42260 42570 43000 43344 44373 44376 44550 45150 45360 46200 46225 46440 46486 47250 47300 48375 48762 49500 49665 49896 49923 50712 51084 51600 51772 51975 52825 52976 54000 54180 55440 55470 55728 56700 56760 57051 57750 58050 59125 59164 59400 59598 60200 61017 62370 63000 63390 63855 64500 64715 65016 66000 66220 66564 67725 68112 69300 69660 69729 70875 70950 71280 72240 73955 73960 74250 75250 75600 76068 76626 77000 77400 77658 79464 81000 81270 81356 82775 83160 83205 84520 85140 86000 86625 87075 88746 88752 89100 89397 90300 90859 92400 92450 92880 92972 94500 94600 95085 96750 97524 99000 99330 99792 99846 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14719158000 14768221860 15041707450 15111668880 15471470520 15741321750 15823094850 16116115125 16191073800 16245044046 16409135400 17172351000 17190522800 17405404335 17581216500 17721866232 17990082000 18050048940 18460277325 18565764624 18889586100 19339338150 19690962480 20238842250 20511419250 20606821200 20988429000 21097459800 21488153500 21660058728 22152332790 22562561175 22667503320 23064426000 23207205780 23441622000 23611982625 24066731920 24367566069 24613703100 25186114800 25316951760 25758526500 25785784200 26357562000 26371824750 26985123000 27075073410 27348559000 27848646936 28334379150 29009007225 29536443720 30083414900 30767128875 30942941040 31482643500 31646189700 32232230250 32382147600 32490088092 32818270800 34344702000 34810808670 35162433000 35443732464 36100097880 36920554650 37604268625 37779172200 38678676300 39557737125 40477684500 40612610115 41022838500 41976858000 42194919600 42976307000 43320117456 44304665580 45125122350 45335006640 46414411560 47223965250 48348345375 48735132138 49227406200 51517053000 51571568400 52743649500 53970246000 54150146820 54697118000 55380831975 55697293872 56668758300 58018014450 59072887440 60166829800 61534257750 62965287000 63292379400 64464460500 64980176184 67687683525 69621617340 70324866000 70835947875 72200195760 73841109300 75208537250 75558344400 77357352600 79115474250 80955369000 81225220230 82045677000 85952614000 87027021675 88609331160 90250244700 92301386625 92828823120 94447930500 96696690750 97470264276 98454812400 103034106000 105487299000 108300293640 110761663950 112812805875 113337516600 116036028900 120333659600 121837830345 123068515500 125930574000 126584758800 128928921000 129960352368 135375367050 139243234680 141671895750 145045036125 147682218600 150417074500 154714705200 158230948500 161910738000 162450440460 164091354000 174054043350 177218662320 180500489400 184602773250 188895861000 193393381500 194940528552 203063050575 210974598000 216600587280 221523327900 225625611750 226675033200 232072057800 243675660690 246137031000 257857842000 270750734100 276904159875 278486469360 283343791500 290090072250 295364437200 300834149000 316461897000 324900880920 338438417625 348108086700 361000978800 369205546500 377791722000 386786763000 389881057104 406126101150 435135108375 443046655800 451251223500 464144115600 487351321380 492274062000 541501468200 553808319750 566687583000 580180144500 601668298000 609189151725 632923794000 649801761840 676876835250 696216173400 738411093000 773573526000 812252202300 870270216750 886093311600 902502447000 974702642760 1015315252875 1083002936400 1107616639500 1133375166000 1160360289000 1218378303450 1353753670500 1392432346800 1476822186000 1624504404600 1740540433500 1805004894000 1949405285520 2030630505750 2215233279000 2320720578000 2436756606900 2707507341000 3045945758625 3249008809200 3481080867000 4061261011500 4430466558000 4873513213800 5415014682000 6091891517250 6962161734000 8122522023000 9747026427600 12183783034500 16245044046000 24367566069000 48735132138000
- Sum of all divisors σ(n): 224801131306752
- Sum of proper divisors (its aliquot sum) s(n): 176065999168752
- 48735132138000 is an abundant number, because the sum of its proper divisors (176065999168752) is greater than itself. Its abundance is 127330867030752
Bases of 48735132138000
- Binary: 10110001010011000010000011110100111010000100002
- Hexadecimal: 0x2C53083D3A10
- Base-36: H9WLZDD00
Squares and roots of 48735132138000
- 48735132138000 squared (487351321380002) is 2375113104508320451044000000
- 48735132138000 cubed (487351321380003) is 115751450990908400702077100052072000000000
-
The
square root of 48735132138000 is 6981055.2309804855 -
The
cube root of 48735132138000 is 36527.0037581999
Scales and comparisons
How big is 48735132138000?- 48,735,132,138,000 seconds is equal to 1,549,626 years, 23 weeks, 4 days, 9 hours.
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To count from 1 to 48,735,132,138,000 would take you about three million, eight hundred seventy-four thousand and sixty-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 48735132138000 cubic inches would be around 3043.9 feet tall.
Recreational maths with 48735132138000
- 48735132138000 backwards is 00083123153784
- 48735132138000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48735132138000's digits is 45
- More coming soon!
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The information we have on file for 48735132138000 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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