13828319642400
13,828,319,642,400 is an even composite number composed of seven prime numbers multiplied together.
13828319642400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 13828319642400:
25 × 3 × 52 × 17 × 23 × 2801 × 5261
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 23 × 2801 × 5261)See below for interesting mathematical facts about the number 13828319642400 from the Numbermatics database.
Names of 13828319642400
- Cardinal: 13828319642400 can be written as Thirteen trillion, eight hundred twenty-eight billion, three hundred nineteen million, six hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.38283196424 × 1013
Factors of 13828319642400
Divisors of 13828319642400
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 23 24 25 30 32 34 40 46 48 50 51 60 68 69 75 80 85 92 96 100 102 115 120 136 138 150 160 170 184 200 204 230 240 255 272 276 300 340 345 368 391 400 408 425 460 480 510 544 552 575 600 680 690 736 782 800 816 850 920 1020 1104 1150 1173 1200 1275 1360 1380 1564 1632 1700 1725 1840 1955 2040 2208 2300 2346 2400 2550 2720 2760 2801 3128 3400 3450 3680 3910 4080 4600 4692 5100 5261 5520 5602 5865 6256 6800 6900 7820 8160 8403 9200 9384 9775 10200 10522 11040 11204 11730 12512 13600 13800 14005 15640 15783 16806 18400 18768 19550 20400 21044 22408 23460 26305 27600 28010 29325 31280 31566 33612 37536 39100 40800 42015 42088 44816 46920 47617 52610 55200 56020 58650 62560 63132 64423 67224 70025 78200 78915 84030 84176 89437 89632 93840 95234 105220 112040 117300 121003 126264 128846 131525 134448 140050 142851 156400 157830 168060 168352 178874 187680 190468 193269 210075 210440 224080 234600 238085 242006 252528 257692 263050 268311 268896 280100 285702 312800 315660 322115 336120 357748 363009 380936 386538 394575 420150 420880 447185 448160 469200 476170 484012 505056 515384 526100 536622 560200 571404 605015 631320 644230 672240 714255 715496 726018 761872 773076 789150 840300 841760 894370 938400 952340 966345 968024 1030768 1052200 1073244 1095191 1120400 1142808 1190425 1210030 1262640 1288460 1341555 1344480 1428510 1430992 1452036 1523744 1546152 1578300 1610575 1680600 1788740 1815045 1904680 1932690 1936048 2057051 2061536 2104400 2146488 2190382 2235925 2240800 2285616 2380850 2420060 2525280 2576920 2683110 2857020 2861984 2904072 3025075 3092304 3156600 3221150 3285573 3361200 3571275 3577480 3630090 3809360 3865380 3872096 4114102 4208800 4292976 4380764 4471850 4571232 4761700 4831725 4840120 5153840 5366220 5475955 5714040 5808144 6050150 6171153 6184608 6313200 6442300 6571146 6707775 6722400 7142550 7154960 7260180 7618720 7730760 8228204 8585952 8761528 8943700 9075225 9523400 9663450 9680240 10285255 10307680 10732440 10951910 11428080 11616288 12100300 12342306 12626400 12884600 13142292 13415550 14285100 14309920 14520360 14736061 15461520 16427865 16456408 17523056 17887400 18150450 19046800 19326900 19360480 20570510 21464880 21903820 22856160 24200600 24684612 25769200 26284584 26831100 27379775 28570200 29040720 29472122 30855765 30923040 32855730 32912816 35046112 35774800 36300900 38093600 38653800 41141020 42929760 43807640 44208183 48401200 49369224 51426275 51538400 52569168 53662200 54759550 57140400 58081440 58944244 61711530 65711460 65825632 71549600 72601800 73680305 77307600 82139325 82282040 87615280 88416366 96802400 98738448 102852550 105138336 107324400 109519100 114280800 117888488 123423060 131422920 145203600 147360610 154278825 154615200 164278650 164564080 175230560 176832732 197476896 205705100 214648800 219038200 221040915 235776976 246846120 250513037 262845840 290407200 294721220 308557650 328557300 329128160 338929403 353665464 368401525 411410200 438076400 442081830 471553952 493692240 501026074 525691680 589442440 617115300 657114600 677858806 707330928 736803050 751539111 822820400 876152800 884163660 987384480 1002052148 1016788209 1105204575 1178884880 1234230600 1252565185 1314229200 1355717612 1414661856 1473606100 1503078222 1645640800 1694647015 1768327320 2004104296 2033576418 2210409150 2357769760 2468461200 2505130370 2628458400 2711435224 2947212200 3006156444 3389294030 3536654640 3757695555 4008208592 4067152836 4420818300 4936922400 5010260740 5083941045 5422870448 5761799851 5894424400 6012312888 6262825925 6778588060 7073309280 7515391110 8016417184 8134305672 8473235075 8841636600 10020521480 10167882090 10845740896 11523599702 11788848800 12024625776 12525651850 13557176120 15030782220 16268611344 16946470150 17285399553 17683273200 18788477775 20041042960 20335764180 23047199404 24049251552 25051303700 25419705225 27114352240 28808999255 30061564440 32537222688 33892940300 34570799106 35366546400 37576955550 40082085920 40671528360 46094398808 50102607400 50839410450 54228704480 57617998510 60123128880 67785880600 69141598212 75153911100 81343056720 86426997765 92188797616 100205214800 101678820900 115235997020 120246257760 135571761200 138283196424 144044996275 150307822200 162686113440 172853995530 184377595232 200410429600 203357641800 230471994040 271143522400 276566392848 288089992550 300615644400 345707991060 406715283600 432134988825 460943988080 553132785696 576179985100 601231288800 691415982120 813430567200 864269977650 921887976160 1152359970200 1382831964240 1728539955300 2304719940400 2765663928480 3457079910600 4609439880800 6914159821200 13828319642400
- Sum of all divisors σ(n): 49758233769216
- Sum of proper divisors (its aliquot sum) s(n): 35929914126816
- 13828319642400 is an abundant number, because the sum of its proper divisors (35929914126816) is greater than itself. Its abundance is 22101594484416
Bases of 13828319642400
- Binary: 110010010011101010000001010010000011001000002
- Hexadecimal: 0xC93A8148320
- Base-36: 4WGN4H82O
Squares and roots of 13828319642400
- 13828319642400 squared (138283196424002) is 191222424132385663877760000
- 13828319642400 cubed (138283196424003) is 2644284803697212453772992760513024000000
-
The
square root of 13828319642400 is 3718644.8663995867 -
The
cube root of 13828319642400 is 24002.4995327271
Scales and comparisons
How big is 13828319642400?- 13,828,319,642,400 seconds is equal to 439,697 years, 41 weeks, 20 hours, 40 minutes.
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To count from 1 to 13,828,319,642,400 would take you about one million, ninety-nine thousand, two hundred forty-four 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 13828319642400 cubic inches would be around 2000.2 feet tall.
Recreational maths with 13828319642400
- 13828319642400 backwards is 00424691382831
- 13828319642400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13828319642400's digits is 51
- More coming soon!
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The information we have on file for 13828319642400 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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