1338128006800
1,338,128,006,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 1338128006800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 360 divisors.
1338128006800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 1338128006800:
24 × 52 × 132 × 79 × 331 × 757
(2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 79 × 331 × 757)See below for interesting mathematical facts about the number 1338128006800 from the Numbermatics database.
Names of 1338128006800
- Cardinal: 1338128006800 can be written as One trillion, three hundred thirty-eight billion, one hundred twenty-eight million, six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.3381280068 × 1012
Factors of 1338128006800
Divisors of 1338128006800
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 79 80 100 104 130 158 169 200 208 260 316 325 331 338 395 400 520 632 650 662 676 757 790 845 1027 1040 1264 1300 1324 1352 1514 1580 1655 1690 1975 2054 2600 2648 2704 3028 3160 3310 3380 3785 3950 4108 4225 4303 5135 5200 5296 6056 6320 6620 6760 7570 7900 8216 8275 8450 8606 9841 10270 12112 13240 13351 13520 15140 15800 16432 16550 16900 17212 18925 19682 20540 21515 25675 26149 26480 26702 30280 31600 33100 33800 34424 37850 39364 41080 43030 49205 51350 52298 53404 55939 59803 60560 66200 66755 67600 68848 75700 78728 82160 86060 98410 102700 104596 106808 107575 111878 119606 127933 130745 132400 133510 151400 157456 172120 196820 205400 209192 213616 215150 223756 239212 246025 250567 255866 261490 267020 279695 299015 302800 333775 339937 344240 393640 410800 418384 430300 447512 478424 492050 501134 511732 522980 534040 559390 598030 639665 653725 667550 679874 777439 787280 860600 895024 956848 984100 1002268 1023464 1045960 1068080 1118780 1196060 1252835 1279330 1307450 1335100 1359748 1398475 1495075 1554878 1699685 1721200 1968200 2004536 2046928 2091920 2237560 2392120 2505670 2558660 2614900 2670200 2719496 2796950 2990150 3109756 3198325 3257371 3399370 3887195 3936400 4009072 4419181 4475120 4784240 5011340 5117320 5229800 5340400 5438992 5593900 5980300 6219512 6264175 6396650 6514742 6798740 7774390 8498425 8838362 10022680 10106707 10234640 10459600 11187800 11960600 12439024 12528350 12793300 13029484 13597480 15548780 16286855 16996850 17676724 19435975 19794793 20045360 20213414 22095905 22375600 23921200 25056700 25586600 26058968 27194960 31097560 32573710 33993700 35353448 38871950 39589586 40426828 42345823 44191810 50113400 50533535 51173200 52117936 62195120 65147420 67987400 70706896 77743900 79179172 80853656 81434275 84691646 88383620 98973965 100226800 101067070 110479525 130294840 135974800 155487800 158358344 161707312 162868550 169383292 176767240 197947930 202134140 211729115 220959050 252667675 257332309 260589680 310975600 316716688 325737100 338766584 353534480 395895860 404268280 423458230 441918100 494869825 505335350 514664618 651474200 677533168 791791720 808536560 846916460 883836200 989739650 1010670700 1029329236 1058645575 1286661545 1302948400 1583583440 1693832920 1767672400 1979479300 2021341400 2058658472 2117291150 2573323090 3345320017 3387665840 3958958600 4042682800 4117316944 4234582300 5146646180 6433307725 6690640034 7917917200 8469164600 10293292360 12866615450 13381280068 16726600085 16938329200 20586584720 25733230900 26762560136 33453200170 51466461800 53525120272 66906400340 83633000425 102932923600 133812800680 167266000850 267625601360 334532001700 669064003400 1338128006800
- Sum of all divisors σ(n): 3540558330240
- Sum of proper divisors (its aliquot sum) s(n): 2202430323440
- 1338128006800 is an abundant number, because the sum of its proper divisors (2202430323440) is greater than itself. Its abundance is 864302316640
Bases of 1338128006800
- Binary: 100110111100011101010010011111110100100002
- Hexadecimal: 0x1378EA4FE90
- Base-36: H2Q6V634
Squares and roots of 1338128006800
- 1338128006800 squared (13381280068002) is 1790586562582540846240000
- 1338128006800 cubed (13381280068003) is 2396034027991438843058716474432000000
-
The
square root of 1338128006800 is 1156774.8297745763 -
The
cube root of 1338128006800 is 11019.6014328793
Scales and comparisons
How big is 1338128006800?- 1,338,128,006,800 seconds is equal to 42,548 years, 17 weeks, 1 day, 16 hours, 6 minutes, 40 seconds.
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To count from 1 to 1,338,128,006,800 would take you about one hundred six thousand, three hundred seventy 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 1338128006800 cubic inches would be around 918.3 feet tall.
Recreational maths with 1338128006800
- 1338128006800 backwards is 0086008218331
- 1338128006800 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1338128006800's digits is 40
- More coming soon!
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The information we have on file for 1338128006800 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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