13828214400
13,828,214,400 is an even composite number composed of seven prime numbers multiplied together.
13828214400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13828214400:
27 × 3 × 52 × 7 × 11 × 13 × 1439
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 13 × 1439)See below for interesting mathematical facts about the number 13828214400 from the Numbermatics database.
Names of 13828214400
- Cardinal: 13828214400 can be written as Thirteen billion, eight hundred twenty-eight million, two hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.38282144 × 1010
Factors of 13828214400
Divisors of 13828214400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 25 26 28 30 32 33 35 39 40 42 44 48 50 52 55 56 60 64 65 66 70 75 77 78 80 84 88 91 96 100 104 105 110 112 120 128 130 132 140 143 150 154 156 160 165 168 175 176 182 192 195 200 208 210 220 224 231 240 260 264 273 275 280 286 300 308 312 320 325 330 336 350 352 364 384 385 390 400 416 420 429 440 448 455 462 480 520 525 528 546 550 560 572 600 616 624 640 650 660 672 700 704 715 728 770 780 800 825 832 840 858 880 896 910 924 960 975 1001 1040 1050 1056 1092 1100 1120 1144 1155 1200 1232 1248 1300 1320 1344 1365 1400 1408 1430 1439 1456 1540 1560 1600 1650 1664 1680 1716 1760 1820 1848 1920 1925 1950 2002 2080 2100 2112 2145 2184 2200 2240 2275 2288 2310 2400 2464 2496 2600 2640 2688 2730 2800 2860 2878 2912 3003 3080 3120 3200 3300 3360 3432 3520 3575 3640 3696 3850 3900 4004 4160 4200 4224 4290 4317 4368 4400 4480 4550 4576 4620 4800 4928 4992 5005 5200 5280 5460 5600 5720 5756 5775 5824 6006 6160 6240 6600 6720 6825 6864 7040 7150 7195 7280 7392 7700 7800 8008 8320 8400 8580 8634 8736 8800 9100 9152 9240 9600 9856 10010 10073 10400 10560 10725 10920 11200 11440 11512 11550 11648 12012 12320 12480 13200 13440 13650 13728 14300 14390 14560 14784 15015 15400 15600 15829 16016 16800 17160 17268 17472 17600 18200 18304 18480 18707 20020 20146 20800 21120 21450 21585 21840 22400 22880 23024 23100 24024 24640 24960 25025 26400 27300 27456 28600 28780 29120 29568 30030 30219 30800 31200 31658 32032 33600 34320 34536 34944 35200 35975 36400 36960 37414 40040 40292 41600 42900 43170 43680 45760 46048 46200 47487 48048 49280 50050 50365 52800 54600 54912 56121 57200 57560 58240 60060 60438 61600 62400 63316 64064 67200 68640 69072 71950 72800 73920 74828 75075 79145 80080 80584 85800 86340 87360 91520 92096 92400 93535 94974 96096 100100 100730 105600 107925 109200 110803 112242 114400 115120 120120 120876 123200 124800 126632 128128 130949 137280 138144 143900 145600 147840 149656 150150 151095 158290 160160 161168 171600 172680 174720 184192 184800 187070 189948 192192 200200 201460 205777 215850 218400 221606 224484 228800 230240 237435 240240 241752 246400 251825 253264 261898 274560 276288 280605 287800 291200 299312 300300 302190 316580 320320 322336 332409 343200 345360 369600 374140 379896 384384 392847 395725 400400 402920 411554 431700 436800 443212 448968 457600 460480 467675 474870 480480 483504 503650 506528 523796 552576 554015 561210 575600 598624 600600 604380 617331 633160 640640 644672 654745 664818 686400 690720 739200 748280 755475 759792 785694 791450 800800 805840 823108 863400 873600 886424 897936 920960 935350 949740 960960 967008 1007300 1013056 1028885 1047592 1108030 1122420 1151200 1187175 1197248 1201200 1208760 1234662 1266320 1289344 1309490 1329636 1372800 1381440 1403025 1440439 1496560 1510950 1519584 1571388 1582900 1601600 1611680 1646216 1662045 1726800 1772848 1795872 1870700 1899480 1921920 1934016 1964235 2014600 2026112 2057770 2095184 2216060 2244840 2302400 2374350 2394496 2402400 2417520 2469324 2532640 2618980 2659272 2762880 2770075 2806050 2880878 2993120 3021900 3039168 3086655 3142776 3165800 3203200 3223360 3273725 3292432 3324090 3453600 3545696 3591744 3741400 3798960 3868032 3928470 4029200 4115540 4190368 4321317 4432120 4489680 4604800 4748700 4804800 4835040 4938648 5065280 5144425 5237960 5318544 5540150 5612100 5761756 5986240 6043800 6078336 6173310 6285552 6331600 6446720 6547450 6584864 6648180 6907200 7091392 7183488 7202195 7482800 7597920 7856940 8058400 8231080 8310225 8380736 8642634 8864240 8979360 9497400 9609600 9670080 9821175 9877296 10130560 10288850 10475920 10637088 11080300 11224200 11523512 11972480 12087600 12346620 12571104 12663200 13094900 13169728 13296360 13814400 14182784 14404390 14965600 15195840 15433275 15713880 16116800 16462160 16620450 16761472 17285268 17728480 17958720 18994800 19340160 19642350 19754592 20577700 20951840 21274176 21606585 22160600 22448400 23047024 24175200 24693240 25142208 25326400 26189800 26339456 26592720 28808780 29931200 30391680 30866550 31427760 32233600 32924320 33240900 34570536 35456960 35917440 36010975 37989600 39284700 39509184 41155400 41903680 42548352 43213170 44321200 44896800 46094048 48350400 49386480 50284416 50652800 52379600 53185440 57617560 59862400 61733100 62855520 65848640 66481800 69141072 70913920 72021950 75979200 78569400 79018368 82310800 83807360 86426340 88642400 89793600 92188096 96700800 98772960 104759200 106370880 108032925 115235120 123466200 125711040 131697280 132963600 138282144 144043900 151958400 157138800 164621600 172852680 177284800 179587200 184376192 197545920 209518400 212741760 216065850 230470240 246932400 251422080 265927200 276564288 288087800 314277600 329243200 345705360 354569600 395091840 419036800 432131700 460940480 493864800 531854400 553128576 576175600 628555200 658486400 691410720 864263400 921880960 987729600 1063708800 1152351200 1257110400 1382821440 1728526800 1975459200 2304702400 2765642880 3457053600 4609404800 6914107200 13828214400
- Sum of all divisors σ(n): 61196083200
- Sum of proper divisors (its aliquot sum) s(n): 47367868800
- 13828214400 is an abundant number, because the sum of its proper divisors (47367868800) is greater than itself. Its abundance is 33539654400
Bases of 13828214400
- Binary: 11001110000011100111001110100000002
- Hexadecimal: 0x33839CE80
- Base-36: 6COYMIO
Squares and roots of 13828214400
- 13828214400 squared (138282144002) is 191219513492367360000
- 13828214400 cubed (138282144003) is 2644224430036148617641984000000
-
The
square root of 13828214400 is 117593.4283878143 -
The
cube root of 13828214400 is 2400.2438641091
Scales and comparisons
How big is 13828214400?- 13,828,214,400 seconds is equal to 439 years, 36 weeks, 18 hours, 40 minutes.
-
To count from 1 to 13,828,214,400 would take you about eight hundred seventy-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 13828214400 cubic inches would be around 200 feet tall.
Recreational maths with 13828214400
- 13828214400 backwards is 00441282831
- 13828214400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13828214400's digits is 33
- More coming soon!
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The information we have on file for 13828214400 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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