13821686968320
13,821,686,968,320 is an even composite number composed of six prime numbers multiplied together.
13821686968320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred eighty-four divisors.
Prime factorization of 13821686968320:
212 × 36 × 5 × 7 × 112 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 11 × 1093)See below for interesting mathematical facts about the number 13821686968320 from the Numbermatics database.
Names of 13821686968320
- Cardinal: 13821686968320 can be written as Thirteen trillion, eight hundred twenty-one billion, six hundred eighty-six million, nine hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.382168696832 × 1013
Factors of 13821686968320
Divisors of 13821686968320
- Number of divisors d(n): 2184
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 64 66 70 72 77 80 81 84 88 90 96 99 105 108 110 112 120 121 126 128 132 135 140 144 154 160 162 165 168 176 180 189 192 198 210 216 220 224 231 240 242 243 252 256 264 270 280 288 297 308 315 320 324 330 336 352 360 363 378 384 385 396 405 420 432 440 448 462 480 484 486 495 504 512 528 540 560 567 576 594 605 616 630 640 648 660 672 693 704 720 726 729 756 768 770 792 810 840 847 864 880 891 896 924 945 960 968 972 990 1008 1024 1056 1080 1089 1093 1120 1134 1152 1155 1188 1210 1215 1232 1260 1280 1296 1320 1344 1386 1408 1440 1452 1458 1485 1512 1536 1540 1584 1620 1680 1694 1701 1728 1760 1782 1792 1815 1848 1890 1920 1936 1944 1980 2016 2048 2079 2112 2160 2178 2186 2240 2268 2304 2310 2376 2420 2430 2464 2520 2541 2560 2592 2640 2673 2688 2772 2816 2835 2880 2904 2916 2970 3024 3072 3080 3168 3240 3267 3279 3360 3388 3402 3456 3465 3520 3564 3584 3630 3645 3696 3780 3840 3872 3888 3960 4032 4096 4158 4224 4235 4320 4356 4372 4455 4480 4536 4608 4620 4752 4840 4860 4928 5040 5082 5103 5120 5184 5280 5346 5376 5445 5465 5544 5632 5670 5760 5808 5832 5940 6048 6144 6160 6237 6336 6480 6534 6558 6720 6776 6804 6912 6930 7040 7128 7168 7260 7290 7392 7560 7623 7651 7680 7744 7776 7920 8019 8064 8316 8448 8470 8505 8640 8712 8744 8910 8960 9072 9216 9240 9504 9680 9720 9801 9837 9856 10080 10164 10206 10240 10368 10395 10560 10692 10752 10890 10930 11088 11264 11340 11520 11616 11664 11880 12023 12096 12288 12320 12474 12672 12705 12960 13068 13116 13365 13440 13552 13608 13824 13860 14080 14256 14336 14520 14580 14784 15120 15246 15302 15360 15488 15552 15840 16038 16128 16335 16395 16632 16896 16940 17010 17280 17424 17488 17820 17920 18144 18432 18480 18711 19008 19360 19440 19602 19674 19712 20160 20328 20412 20480 20736 20790 21120 21384 21504 21780 21860 22176 22528 22680 22869 22953 23040 23232 23328 23760 24046 24192 24640 24948 25344 25410 25515 25920 26136 26232 26730 26880 27104 27216 27648 27720 28160 28512 28672 29040 29160 29403 29511 29568 30240 30492 30604 30720 30976 31104 31185 31680 32076 32256 32670 32790 33264 33792 33880 34020 34560 34848 34976 35640 35840 36069 36288 36864 36960 37422 38016 38115 38255 38720 38880 39204 39348 39424 40095 40320 40656 40824 41472 41580 42240 42768 43008 43560 43720 44352 45056 45360 45738 45906 46080 46464 46656 47520 48092 48384 49005 49185 49280 49896 50688 50820 51030 51840 52272 52464 53460 53760 54208 54432 55296 55440 56133 56320 57024 58080 58320 58806 59022 59136 60115 60480 60984 61208 61440 61952 62208 62370 63360 64152 64512 65340 65580 66528 67584 67760 68040 68607 68859 69120 69696 69952 71280 71680 72138 72576 73920 74844 76032 76230 76510 77440 77760 78408 78696 78848 80190 80640 81312 81648 82944 83160 84161 84480 85536 86016 87120 87440 88209 88533 88704 90720 91476 91812 92160 92928 93312 93555 95040 96184 96768 98010 98370 98560 99792 101376 101640 102060 103680 104544 104928 106920 107520 108207 108416 108864 110592 110880 112266 112640 114048 114345 114765 116160 116640 117612 118044 118272 120230 120960 121968 122416 123904 124416 124740 126720 128304 129024 130680 131160 132253 133056 135168 135520 136080 137214 137718 138240 139392 139904 142560 143360 144276 145152 147015 147555 147840 149688 152064 152460 153020 154880 155520 156816 157392 157696 160380 161280 162624 163296 165888 166320 168322 168960 171072 174240 174880 176418 177066 177408 180345 181440 182952 183624 184320 185856 186624 187110 190080 192368 193536 196020 196740 197120 199584 202752 203280 204120 205821 206577 207360 209088 209856 213840 215040 216414 216832 217728 221760 224532 225280 228096 228690 229530 232320 233280 235224 236088 236544 240460 241920 243936 244832 247808 248832 249480 252483 253440 256608 258048 261360 262320 264506 265599 266112 271040 272160 274428 275436 276480 278784 279808 280665 285120 288552 290304 294030 295110 295680 299376 304128 304920 306040 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613533690 623272320 632282112 634604544 642749580 646356480 654435936 664823808 666555120 674887059 677135360 679933440 685599552 701181360 702535680 705116160 710992128 713930112 727151040 738693120 747926784 749874510 761777280 771299496 775627776 790352640 793255680 799866144 812562432 815920128 818044920 831029760 843042816 846139392 856999440 861808640 872581248 888740160 892412640 899849412 903260160 906577920 914132736 934908480 947989504 951906816 964124370 969534720 981653904 997235712 999832680 1015703040 1019900160 1028399328 1034170368 1053803520 1057674240 1066488192 1087893504 1090726560 1108039680 1121890176 1124811765 1142665920 1149603840 1163441664 1184986880 1189883520 1199799216 1218843648 1227067380 1246544640 1264564224 1269209088 1285499160 1292712960 1308871872 1329647616 1333110240 1349774118 1354270720 1359866880 1371199104 1402362720 1405071360 1410232320 1421984256 1427860224 1454302080 1495853568 1499749020 1523554560 1542598992 1551255552 1580705280 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17950242816 17996988240 18282654720 18959790080 19038136320 19196787456 19633078080 19944714240 20567986560 20941949952 21329763840 21596385888 21939185664 22437803520 22845763584 23268833280 23995984320 24376872960 24681583872 25595716608 26177437440 26995482360 27423982080 27922599936 28439685120 28557204480 28795181184 29917071360 30851979840 31412924928 31994645760 32908778496 34127622144 34903249920 35900485632 35993976480 36565309440 38076272640 38393574912 39266156160 41135973120 41883899904 42659527680 43192771776 43878371328 44875607040 46537666560 47991968640 49363167744 51191433216 52354874880 53990964720 54847964160 56879370240 57114408960 57590362368 59834142720 61703959680 62825849856 63989291520 65817556992 69806499840 71987952960 73130618880 76787149824 78532312320 82271946240 83767799808 85319055360 86385543552 89751214080 95983937280 98726335488 102382866432 104709749760 107981929440 109695928320 114228817920 115180724736 123407919360 125651699712 127978583040 131635113984 139612999680 143975905920 153574299648 157064624640 164543892480 170638110720 172771087104 179502428160 191967874560 197452670976 209419499520 215963858880 219391856640 230361449472 246815838720 251303399424 255957166080 287951811840 307148599296 314129249280 329087784960 345542174208 383935749120 394905341952 418838999040 431927717760 460722898944 493631677440 511914332160 575903623680 628258498560 658175569920 691084348416 767871498240 863855435520 921445797888 987263354880 1151807247360 1256516997120 1382168696832 1535742996480 1727710871040 1974526709760 2303614494720 2764337393664 3455421742080 4607228989440 6910843484160 13821686968320
- Sum of all divisors σ(n): 62526956257248
- Sum of proper divisors (its aliquot sum) s(n): 48705269288928
- 13821686968320 is an abundant number, because the sum of its proper divisors (48705269288928) is greater than itself. Its abundance is 34883582320608
Bases of 13821686968320
- Binary: 110010010010000111001011110111110000000000002
- Hexadecimal: 0xC921CBDF000
- Base-36: 4WDLFK000
Squares and roots of 13821686968320
- 13821686968320 squared (138216869683202) is 191039030650226912683622400
- 13821686968320 cubed (138216869683203) is 2640481680378726375090170245171642368000
-
The
square root of 13821686968320 is 3717752.9461114007 -
The
cube root of 13821686968320 is 23998.6613653371
Scales and comparisons
How big is 13821686968320?- 13,821,686,968,320 seconds is equal to 439,486 years, 46 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 13,821,686,968,320 would take you about one million, ninety-eight thousand, seven hundred seventeen 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 13821686968320 cubic inches would be around 1999.9 feet tall.
Recreational maths with 13821686968320
- 13821686968320 backwards is 02386968612831
- 13821686968320 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13821686968320's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 13821686968320 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 13821686968320 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/13821686968320/
Chicago style:
Numbermatics. 2024. "Number 13821686968320 - Facts about the integer". https://numbermatics.com/n/13821686968320/
The information we have on file for 13821686968320 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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