4006149882000134400
4,006,149,882,000,134,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 4006149882000134400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2187 divisors.
4006149882000134400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred eighty-seven divisors.
Prime factorization of 4006149882000134400:
28 × 32 × 52 × 72 × 612 × 195312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 61 × 61 × 19531 × 19531)See below for interesting mathematical facts about the number 4006149882000134400 from the Numbermatics database.
Names of 4006149882000134400
- Cardinal: 4006149882000134400 can be written as Four quintillion, six quadrillion, one hundred forty-nine trillion, eight hundred eighty-two billion, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 4.0061498820001344 × 1018
Factors of 4006149882000134400
Divisors of 4006149882000134400
- Number of divisors d(n): 2187
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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 25 28 30 32 35 36 40 42 45 48 49 50 56 60 61 63 64 70 72 75 80 84 90 96 98 100 105 112 120 122 126 128 140 144 147 150 160 168 175 180 183 192 196 200 210 224 225 240 244 245 252 256 280 288 294 300 305 315 320 336 350 360 366 384 392 400 420 427 441 448 450 480 488 490 504 525 549 560 576 588 600 610 630 640 672 700 720 732 735 768 784 800 840 854 882 896 900 915 960 976 980 1008 1050 1098 1120 1152 1176 1200 1220 1225 1260 1280 1281 1344 1400 1440 1464 1470 1525 1568 1575 1600 1680 1708 1764 1792 1800 1830 1920 1952 1960 2016 2100 2135 2196 2205 2240 2304 2352 2400 2440 2450 2520 2562 2688 2745 2800 2880 2928 2940 2989 3050 3136 3150 3200 3360 3416 3528 3600 3660 3675 3721 3840 3843 3904 3920 4032 4200 4270 4392 4410 4480 4575 4704 4800 4880 4900 5040 5124 5376 5490 5600 5760 5856 5880 5978 6100 6272 6300 6400 6405 6720 6832 7056 7200 7320 7350 7442 7686 7808 7840 8064 8400 8540 8784 8820 8960 8967 9150 9408 9600 9760 9800 10080 10248 10675 10980 11025 11163 11200 11520 11712 11760 11956 12200 12544 12600 12810 13440 13664 13725 14112 14400 14640 14700 14884 14945 15372 15616 15680 16128 16800 17080 17568 17640 17934 18300 18605 18816 19200 19215 19520 19531 19600 20160 20496 21350 21960 22050 22326 22400 23424 23520 23912 24400 25200 25620 26047 26880 26901 27328 27450 28224 28800 29280 29400 29768 29890 30744 31360 32025 33489 33600 34160 35136 35280 35868 36600 37210 37632 38430 39040 39062 39200 40320 40992 42700 43920 44100 44652 44800 44835 46848 47040 47824 48800 50400 51240 52094 53802 54656 54900 55815 56448 57600 58560 58593 58800 59536 59780 61488 62720 64050 66978 67200 68320 70272 70560 71736 73200 74420 74725 76860 78080 78124 78141 78400 80640 81984 85400 87840 88200 89304 89670 93025 94080 95648 96075 97600 97655 100800 102480 104188 107604 109312 109800 111630 112896 117120 117186 117600 119072 119560 122976 128100 130235 133956 134400 134505 136640 136717 140544 141120 143472 146400 148840 149450 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547288235245920 556409705833352 567765005952400 586380252049200 596153256250020 625472268852480 625960919062521 635896806666688 638735631696450 656745882295104 670148859484800 681318007142880 684110294057400 695512132291690 715383907500024 729717646994560 745191570312525 781840336065600 794871008333360 817581608571456 820932352868880 834614558750028 851647508928600 875661176393472 894229884375030 908424009523840 912147058743200 938208403278720 953845210000032 993588760416700 1021977010714320 1026165441086100 1042453781420800 1043268198437535 1076632593926400 1090108811428608 1094576470491840 1112819411666704 1135530011904800 1172760504098400 1192306512500040 1251921838125042 1271793613333376 1277471263392900 1313491764590208 1340297718969600 1362636014285760 1368220588114800 1391024264583380 1430767815000048 1459435293989120 1490383140625050 1563680672131200 1589742016666720 1635163217142912 1641864705737760 1669229117500056 1703295017857200 1738780330729225 1788459768750060 1816848019047680 1824294117486400 1876416806557440 1907690420000064 1987177520833400 2043954021428640 2052330882172200 2086536396875070 2189152940983680 2225638823333408 2235574710937575 2271060023809600 2345521008196800 2384613025000080 2503843676250084 2543587226666752 2554942526785800 2626983529180416 2725272028571520 2736441176229600 2782048529166760 2861535630000096 2980766281250100 3127361344262400 3129804595312605 3179484033333440 3270326434285824 3283729411475520 3338458235000112 3406590035714400 3477560661458450 3576919537500120 3648588234972800 3815380840000128 3974355041666800 4087908042857280 4104661764344400 4173072793750140 4378305881967360 4451277646666816 4471149421875150 4542120047619200 4691042016393600 4769226050000160 5007687352500168 5109885053571600 5216340992187675 5450544057143040 5472882352459200 5564097058333520 5723071260000192 5961532562500200 6259609190625210 6358968066666880 6567458822951040 6676916470000224 6813180071428800 6955121322916900 7153839075000240 7297176469945600 7630761680000256 7948710083333600 8175816085714560 8209323528688800 8346145587500280 8902555293333632 8942298843750300 9084240095238400 9382084032787200 9538452100000320 10015374705000336 10219770107143200 10432681984375350 10945764704918400 11128194116667040 11446142520000384 11923065125000400 12519218381250420 12717936133333760 13134917645902080 13353832940000448 13626360142857600 13910242645833800 14307678150000480 15649022976563025 15897420166667200 16351632171429120 16418647057377600 16692291175000560 17805110586667264 17884597687500600 19076904200000640 20030749410000672 20439540214286400 20865363968750700 21891529409836800 22256388233334080 22892285040000768 23846130250000800 25038436762500840 26707665880000896 27252720285715200 27820485291667600 28615356300000960 31298045953126050 31794840333334400 32837294114755200 33384582350001120 35769195375001200 38153808400001280 40061498820001344 40879080428572800 41730727937501400 44512776466668160 47692260500001600 50076873525001680 53415331760001792 55640970583335200 57230712600001920 62596091906252100 63589680666668800 65674588229510400 66769164700002240 71538390750002400 80122997640002688 81758160857145600 83461455875002800 89025552933336320 95384521000003200 100153747050003360 111281941166670400 114461425200003840 125192183812504200 133538329400004480 143076781500004800 160245995280005376 166922911750005600 190769042000006400 200307494100006720 222563882333340800 250384367625008400 267076658800008960 286153563000009600 333845823500011200 400614988200013440 445127764666681600 500768735250016800 572307126000019200 667691647000022400 801229976400026880 1001537470500033600 1335383294000044800 2003074941000067200 4006149882000134400
- Sum of all divisors σ(n): 16939802398441907439
- Sum of proper divisors (its aliquot sum) s(n): 12933652516441773039
- 4006149882000134400 is an abundant number, because the sum of its proper divisors (12933652516441773039) is greater than itself. Its abundance is 8927502634441638639
Bases of 4006149882000134400
- Binary: 110111100110001011010000010111100110011001011101010001000000002
- Hexadecimal: 0x3798B41799975100
- Base-36: UFQ5M0S25340
Squares and roots of 4006149882000134400
- 4006149882000134400 squared (40061498820001344002) is 16049236877049690777088281618063360000
- 4006149882000134400 cubed (40061498820001344003) is 64295648421184824232204983186227739397572987715584000000
-
4006149882000134400 is a
perfect square number . Itssquare root is 2001536880 -
The
cube root of 4006149882000134400 is 1588214.1628288511
Scales and comparisons
How big is 4006149882000134400?- 4,006,149,882,000,134,400 seconds is equal to 127,383,174,412 years, 20 weeks, 4 days, 16 hours.
-
To count from 1 to 4,006,149,882,000,134,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 4006149882000134400 cubic inches would be around 132351.2 feet tall.
Recreational maths with 4006149882000134400
- 4006149882000134400 backwards is 0044310002889416004
- The number of decimal digits it has is: 19
- The sum of 4006149882000134400's digits is 54
- More coming soon!
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"Number 4006149882000134400 - Facts about the integer". Numbermatics.com. 2024. Web. 20 May 2024.
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Numbermatics. (2024). Number 4006149882000134400 - Facts about the integer. Retrieved 20 May 2024, from https://numbermatics.com/n/4006149882000134400/
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Numbermatics. 2024. "Number 4006149882000134400 - Facts about the integer". https://numbermatics.com/n/4006149882000134400/
The information we have on file for 4006149882000134400 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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