13688831864400
13,688,831,864,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13688831864400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2400 divisors.
13688831864400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 13688831864400:
24 × 3 × 52 × 74 × 11 × 23 × 89 × 211
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 23 × 89 × 211)See below for interesting mathematical facts about the number 13688831864400 from the Numbermatics database.
Names of 13688831864400
- Cardinal: 13688831864400 can be written as Thirteen trillion, six hundred eighty-eight billion, eight hundred thirty-one million, eight hundred sixty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.36888318644 × 1013
Factors of 13688831864400
Divisors of 13688831864400
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 23 24 25 28 30 33 35 40 42 44 46 48 49 50 55 56 60 66 69 70 75 77 80 84 88 89 92 98 100 105 110 112 115 120 132 138 140 147 150 154 161 165 168 175 176 178 184 196 200 210 211 220 230 231 240 245 253 264 267 275 276 280 294 300 308 322 330 336 343 345 350 356 368 385 392 400 420 422 440 445 460 462 483 490 506 525 528 534 539 550 552 560 575 588 600 616 623 633 644 660 686 690 700 712 735 759 770 784 805 825 840 844 880 890 920 924 966 979 980 1012 1029 1050 1055 1068 1078 1100 1104 1127 1150 1155 1176 1200 1225 1232 1246 1265 1266 1288 1320 1335 1372 1380 1400 1424 1470 1477 1518 1540 1610 1617 1650 1680 1688 1715 1725 1771 1780 1840 1848 1869 1925 1932 1958 1960 2024 2047 2058 2100 2110 2136 2156 2200 2225 2254 2300 2310 2321 2352 2401 2415 2450 2492 2530 2532 2576 2640 2670 2695 2744 2760 2800 2937 2940 2954 3036 3080 3115 3165 3220 3234 3300 3376 3381 3430 3450 3542 3560 3675 3696 3738 3773 3795 3850 3864 3916 3920 4025 4048 4094 4116 4200 4220 4272 4312 4361 4400 4431 4450 4508 4600 4620 4642 4802 4830 4853 4895 4900 4984 5060 5064 5145 5275 5313 5340 5390 5488 5520 5635 5775 5874 5880 5908 6072 6141 6160 6230 6325 6330 6440 6468 6600 6675 6762 6853 6860 6900 6963 7084 7120 7203 7350 7385 7476 7546 7590 7700 7728 7832 7889 8050 8085 8188 8232 8400 8440 8575 8624 8722 8855 8862 8900 9016 9200 9240 9284 9345 9604 9660 9706 9790 9800 9968 10120 10128 10235 10290 10339 10550 10626 10680 10780 11270 11319 11550 11605 11748 11760 11816 12005 12075 12144 12282 12397 12460 12650 12660 12880 12936 13083 13200 13350 13475 13524 13706 13720 13800 13926 14168 14329 14406 14559 14685 14700 14770 14952 15092 15180 15400 15575 15664 15778 15825 16100 16170 16247 16376 16464 16880 16905 17150 17444 17710 17724 17800 18032 18480 18568 18690 18779 18865 18975 19208 19320 19412 19580 19600 20240 20470 20559 20580 20678 21100 21252 21360 21560 21805 22155 22517 22540 22638 23100 23210 23496 23632 23667 24010 24150 24265 24475 24564 24794 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5668253360 5701304400 5820081575 5897816400 5925901240 5951666028 6073128600 6152283984 6222196302 6349179900 6408629150 6487598040 6518491364 6651521800 6687265200 6763256850 6984097890 6991231800 7085316700 7111081488 7324147600 7407376550 7439582535 7690354980 7729436400 7935554704 7981826160 8109497550 8148114205 8296261736 8465573200 8502380040 8888851860 9017675800 9267997200 9312130520 9612943725 9777737046 9919443380 9977282700 10253806640 10370327170 10627975050 10812663400 10821210960 10986221400 11111064825 11174556624 11407359887 11640163150 11851802480 11903332056 12146257200 12399304225 12444392604 12698359800 12817258300 12975196080 13036982728 13303043600 13526513700 13968195780 13982463600 14170633400 14814753100 14879165070 15380709960 15555490755 16218995100 16296228410 16592523472 17004760080 17460244725 17777703720 18035351600 18624261040 19225887450 19555474092 19838886760 19954565400 20740654340 21255950100 21625326800 21972442800 22222129650 22814719774 23280326300 23806664112 24444342615 24798608450 24888785208 25396719600 25634516600 25925817925 26073965456 27053027400 27936391560 28341266800 29629506200 29758330140 30761419920 31110981510 32437990200 32592456820 34222079661 34920489450 35555407440 37197912675 38451774900 39110948184 39677773520 39909130800 40740571025 41481308680 42511900200 44444259300 45629439548 46560652600 48888685230 49597216900 49777570416 51269033200 51851635850 54106054800 55872783120 57036799435 59259012400 59516660280 62221963020 64875980400 65184913640 68444159322 69840978900 74395825350 76903549800 77777453775 78221896368 81481142050 82962617360 85023800400 88888518600 91258879096 93121305200 97777370460 99194433800 103703271700 114073598870 119033320560 122221713075 124443926040 130369827280 136888318644 139681957800 148791650700 153807099600 155554907550 162962284100 171110398305 177777037200 182517758192 195554740920 198388867600 207406543400 228147197740 244443426150 248887852080 273776637288 279363915600 285183997175 297583301400 311109815100 325924568200 342220796610 391109481840 414813086800 456294395480 488886852300 547553274576 570367994350 595166602800 622219630200 651849136400 684441593220 855551991525 912588790960 977773704600 1140735988700 1244439260400 1368883186440 1711103983050 1955547409200 2281471977400 2737766372880 3422207966100 4562943954800 6844415932200 13688831864400
- Sum of all divisors σ(n): 59165337461760
- Sum of proper divisors (its aliquot sum) s(n): 45476505597360
- 13688831864400 is an abundant number, because the sum of its proper divisors (45476505597360) is greater than itself. Its abundance is 31787673732960
Bases of 13688831864400
- Binary: 110001110011001011011111010111101110010100002
- Hexadecimal: 0xC732DF5EE50
- Base-36: 4UOK921QO
Squares and roots of 13688831864400
- 13688831864400 squared (136888318644002) is 187384117811812779987360000
- 13688831864400 cubed (136888318644003) is 2565069682784826385418120197233984000000
-
The
square root of 13688831864400 is 3699842.1404703203 -
The
cube root of 13688831864400 is 23921.5213583005
Scales and comparisons
How big is 13688831864400?- 13,688,831,864,400 seconds is equal to 435,262 years, 26 weeks, 3 days, 23 hours, 40 minutes.
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To count from 1 to 13,688,831,864,400 would take you about one million, eighty-eight thousand, one hundred fifty-six 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 13688831864400 cubic inches would be around 1993.5 feet tall.
Recreational maths with 13688831864400
- 13688831864400 backwards is 00446813888631
- 13688831864400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13688831864400's digits is 60
- More coming soon!
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The information we have on file for 13688831864400 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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