14738148028699200
14,738,148,028,699,200 is an even composite number composed of six prime numbers multiplied together.
14738148028699200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 14738148028699200:
26 × 32 × 52 × 7 × 43 × 3400274093
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 43 × 3400274093)See below for interesting mathematical facts about the number 14738148028699200 from the Numbermatics database.
Names of 14738148028699200
- Cardinal: 14738148028699200 can be written as Fourteen quadrillion, seven hundred thirty-eight trillion, one hundred forty-eight billion, twenty-eight million, six hundred ninety-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.47381480286992 × 1016
Factors of 14738148028699200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 3400274153
Divisors of 14738148028699200
- Number of divisors d(n): 504
-
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 43 45 48 50 56 60 63 64 70 72 75 80 84 86 90 96 100 105 112 120 126 129 140 144 150 160 168 172 175 180 192 200 210 215 224 225 240 252 258 280 288 300 301 315 320 336 344 350 360 387 400 420 430 448 450 480 504 516 525 560 576 600 602 630 645 672 688 700 720 774 800 840 860 900 903 960 1008 1032 1050 1075 1120 1200 1204 1260 1290 1344 1376 1400 1440 1505 1548 1575 1600 1680 1720 1800 1806 1935 2016 2064 2100 2150 2240 2400 2408 2520 2580 2709 2752 2800 2880 3010 3096 3150 3225 3360 3440 3600 3612 3870 4032 4128 4200 4300 4515 4800 4816 5040 5160 5418 5600 6020 6192 6300 6450 6720 6880 7200 7224 7525 7740 8256 8400 8600 9030 9632 9675 10080 10320 10836 11200 12040 12384 12600 12900 13545 13760 14400 14448 15050 15480 16800 17200 18060 19264 19350 20160 20640 21672 22575 24080 24768 25200 25800 27090 28896 30100 30960 33600 34400 36120 38700 41280 43344 45150 48160 50400 51600 54180 57792 60200 61920 67725 68800 72240 77400 86688 90300 96320 100800 103200 108360 120400 123840 135450 144480 154800 173376 180600 206400 216720 240800 270900 288960 309600 361200 433440 481600 541800 619200 722400 866880 1083600 1444800 2167200 4334400 3400274093 6800548186 10200822279 13601096372 17001370465 20401644558 23801918651 27202192744 30602466837 34002740930 40803289116 47603837302 51004111395 54404385488 61204933674 68005481860 71405755953 81606578232 85006852325 95207674604 102008222790 108808770976 119009593255 122409867348 136010963720 142811511906 146211785999 153012334185 163213156464 170013704650 190415349208 204016445580 214217267859 217617541952 238019186510 244819734696 255020556975 272021927440 285623023812 292423571998 306024668370 326426312928 340027409300 357028779765 380830698416 408032891160 428434535718 438635357997 476038373020 489639469392 510041113950 544043854880 571246047624 584847143996 595047966275 612049336740 652852625856 680054818600 714057559530 731058929995 761661396832 765061670925 816065782320 856869071436 877270715994 952076746040 979278938784 1020082227900 1023482501993 1071086339295 1088087709760 1142492095248 1169694287992 1190095932550 1224098673480 1315906073991 1360109637200 1428115119060 1462117859990 1523322793664 1530123341850 1632131564640 1713738142872 1754541431988 1785143898825 1904153492080 1958557877568 2040164455800 2046965003986 2142172678590 2193176789985 2284984190496 2339388575984 2380191865100 2448197346960 2631812147982 2720219274400 2856230238120 2924235719980 3060246683700 3070447505979 3264263129280 3427476285744 3509082863976 3570287797650 3655294649975 3808306984160 4080328911600 4093930007972 4284345357180 4386353579970 4569968380992 4678777151968 4760383730200 4896394693920 5117412509965 5263624295964 5355431696475 5440438548800 5712460476240 5848471439960 6120493367400 6140895011958 6579530369955 6854952571488 7018165727952 7140575595300 7310589299950 7616613968320 8160657823200 8187860015944 8568690714360 8772707159940 9211342517937 9357554303936 9520767460400 9792789387840 10234825019930 10527248591928 10710863392950 10965883949925 11424920952480 11696942879920 12240986734800 12281790023916 13159060739910 13709905142976 14036331455904 14281151190600 14621178599900 15352237529895 16321315646400 16375720031888 17137381428720 17545414319880 18422685035874 19041534920800 20469650039860 21054497183856 21421726785900 21931767899850 22849841904960 23393885759840 24481973469600 24563580047832 25587062549825 26318121479820 28072662911808 28562302381200 29242357199800 30704475059790 32751440063776 32897651849775 34274762857440 35090828639760 36845370071748 38083069841600 40939300079720 42108994367712 42843453571800 43863535799700 46056712589685 46787771519680 48963946939200 49127160095664 51174125099650 52636242959640 57124604762400 58484714399600 61408950119580 65502880127552 65795303699550 68549525714880 70181657279520 73690740143496 76761187649475 81878600159440 84217988735424 85686907143600 87727071599400 92113425179370 98254320191328 102348250199300 105272485919280 114249209524800 116969428799200 122817900239160 131590607399100 140363314559040 147381480286992 153522375298950 163757200318880 171373814287200 175454143198800 184226850358740 196508640382656 204696500398600 210544971838560 230283562948425 233938857598400 245635800478320 263181214798200 294762960573984 307044750597900 327514400637760 342747628574400 350908286397600 368453700717480 409393000797200 421089943677120 460567125896850 491271600956640 526362429596400 589525921147968 614089501195800 701816572795200 736907401434960 818786001594400 921134251793700 982543201913280 1052724859192800 1228179002391600 1473814802869920 1637572003188800 1842268503587400 2105449718385600 2456358004783200 2947629605739840 3684537007174800 4912716009566400 7369074014349600 14738148028699200
- Sum of all divisors σ(n): 61258358798564928
- Sum of proper divisors (its aliquot sum) s(n): 46520210769865728
- 14738148028699200 is an abundant number, because the sum of its proper divisors (46520210769865728) is greater than itself. Its abundance is 31782062741166528
Bases of 14738148028699200
- Binary: 1101000101110001000100011111011110010111010010010000002
- Hexadecimal: 0x345C447DE5D240
- Base-36: 4148JQGKY80
Squares and roots of 14738148028699200
- 14738148028699200 squared (147381480286992002) is 217213007315850114986844080640000
- 14738148028699200 cubed (147381480286992003) is 3201317455579921280052171733426690359103488000000
-
The
square root of 14738148028699200 is 121400774.4155662295 -
The
cube root of 14738148028699200 is 245177.7026965161
Scales and comparisons
How big is 14738148028699200?- 14,738,148,028,699,200 seconds is equal to 468,627,519 years, 11 weeks, 5 days, 20 hours.
-
To count from 1 to 14,738,148,028,699,200 would take you about one billion, four hundred five million, eight hundred eighty-two thousand, five hundred fifty-seven 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 14738148028699200 cubic inches would be around 20431.5 feet tall.
Recreational maths with 14738148028699200
- 14738148028699200 backwards is 00299682084183741
- 14738148028699200 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 14738148028699200's digits is 72
- More coming soon!
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