13648420800
13,648,420,800 is an even composite number composed of six prime numbers multiplied together.
13648420800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred thirty-four divisors.
Prime factorization of 13648420800:
26 × 32 × 52 × 72 × 23 × 292
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 23 × 29 × 29)See below for interesting mathematical facts about the number 13648420800 from the Numbermatics database.
Names of 13648420800
- Cardinal: 13648420800 can be written as Thirteen billion, six hundred forty-eight million, four hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.36484208 × 1010
Factors of 13648420800
Divisors of 13648420800
- Number of divisors d(n): 1134
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 25 28 29 30 32 35 36 40 42 45 46 48 49 50 56 58 60 63 64 69 70 72 75 80 84 87 90 92 96 98 100 105 112 115 116 120 126 138 140 144 145 147 150 160 161 168 174 175 180 184 192 196 200 203 207 210 224 225 230 232 240 245 252 261 276 280 288 290 294 300 315 320 322 336 345 348 350 360 368 392 400 406 414 420 435 441 448 450 460 464 480 483 490 504 522 525 552 560 575 576 580 588 600 609 630 644 667 672 690 696 700 720 725 735 736 784 800 805 812 828 840 841 870 882 900 920 928 960 966 980 1008 1015 1035 1044 1050 1104 1120 1127 1150 1160 1176 1200 1218 1225 1260 1288 1305 1334 1344 1380 1392 1400 1421 1440 1449 1450 1470 1472 1568 1575 1600 1610 1624 1656 1680 1682 1725 1740 1764 1800 1827 1840 1856 1932 1960 2001 2016 2030 2070 2088 2100 2175 2205 2208 2240 2254 2300 2320 2352 2400 2415 2436 2450 2520 2523 2576 2610 2668 2760 2784 2800 2842 2880 2898 2900 2940 3045 3136 3150 3220 3248 3312 3335 3360 3364 3381 3450 3480 3528 3600 3654 3675 3680 3864 3920 4002 4025 4032 4060 4140 4176 4200 4205 4263 4350 4410 4416 4508 4600 4640 4669 4704 4800 4830 4872 4900 5040 5046 5075 5152 5175 5220 5336 5520 5568 5600 5635 5684 5796 5800 5880 5887 6003 6090 6300 6440 6496 6525 6624 6670 6720 6728 6762 6900 6960 7056 7105 7200 7245 7308 7350 7360 7569 7728 7840 8004 8050 8120 8280 8352 8400 8410 8526 8700 8820 9016 9135 9200 9280 9338 9408 9660 9744 9800 10005 10080 10092 10143 10150 10304 10350 10440 10672 11025 11040 11200 11270 11368 11592 11600 11760 11774 12006 12075 12180 12600 12615 12789 12880 12992 13050 13248 13340 13456 13524 13800 13920 14007 14112 14210 14400 14490 14616 14700 15138 15225 15456 15680 16008 16100 16240 16560 16675 16704 16800 16820 16905 17052 17400 17640 17661 18032 18270 18400 18676 19320 19343 19488 19600 20010 20160 20184 20286 20300 20700 20880 21025 21315 21344 22050 22080 22540 22736 23184 23200 23345 23520 23548 24012 24150 24360 25200 25230 25578 25760 26100 26680 26912 27048 27600 27840 28014 28175 28224 28420 28980 29232 29400 29435 30015 30276 30450 30912 32016 32200 32480 32683 33120 33350 33600 33640 33810 34104 34800 35280 35322 35525 36064 36225 36540 36800 37352 37845 38640 38686 38976 39200 40020 40368 40572 40600 41209 41400 41760 42021 42050 42630 42688 44100 45080 45472 45675 46368 46400 46690 47040 47096 48024 48300 48720 50025 50400 50460 50715 51156 51520 52200 52983 53360 53824 54096 55200 56028 56350 56840 57960 58029 58464 58800 58870 60030 60552 60900 63075 63945 64032 64400 64960 65366 66240 66700 67280 67620 68208 69600 70035 70560 70644 71050 72128 72450 73080 74704 75690 77280 77372 78400 80040 80736 81144 81200 82418 82800 83520 84042 84100 84525 85260 88200 88305 90160 90944 91350 92736 93380 94192 96048 96600 96715 97440 98049 100050 100800 100920 101430 102312 104400 105966 106575 106720 108192 110400 112056 112700 113680 115920 116058 116725 116928 117600 117740 120060 121104 121800 123627 126150 127890 128064 128800 130732 133400 134560 135240 135401 136416 139200 140070 141120 141288 142100 144900 146160 147175 149408 150075 151380 154560 154744 160080 161472 162288 162400 163415 164836 165600 168084 168200 169050 170520 174087 176400 176610 180320 182700 186760 188384 189225 192096 193200 193430 194880 196098 200100 201840 202860 204624 206045 208800 210105 211932 213150 213440 216384 224112 225400 227360 231840 232116 233450 235200 235480 240120 242208 243600 247254 252300 253575 255780 257600 261464 264915 266800 269120 270480 270802 272832 280140 282576 284200 289800 290145 292320 294147 294350 298816 300150 302760 309488 319725 320160 324576 324800 326830 329672 331200 336168 336400 338100 341040 348174 350175 352800 353220 360640 365400 370881 373520 376768 378450 384192 386400 386860 392196 400200 403680 405720 406203 409248 412090 417600 420210 423864 426300 441525 448224 450800 454720 463680 464232 466900 470960 480240 483575 484416 487200 490245 494508 504600 507150 511560 522928 529830 533600 540960 541604 560280 565152 568400 579600 580290 584640 588294 588700 600300 605520 618135 618976 639450 640320 649152 653660 659344 672336 672800 676200 677005 682080 696348 700350 705600 706440 730800 741762 747040 756900 772800 773720 784392 800400 807360 811440 812406 817075 818496 824180 840420 847728 852600 870435 883050 896448 901600 928464 933800 941920 947807 960480 967150 974400 980490 989016 1009200 1014300 1023120 1030225 1045856 1050525 1059660 1067200 1081920 1083208 1120560 1130304 1136800 1159200 1160580 1176588 1177400 1200600 1211040 1218609 1236270 1237952 1278900 1307320 1318688 1324575 1344672 1345600 1352400 1354010 1364160 1392696 1400700 1412880 1450725 1461600 1470735 1483524 1494080 1513800 1547440 1568784 1600800 1622880 1624812 1634150 1648360 1680840 1695456 1705200 1740870 1766100 1803200 1854405 1856928 1867600 1883840 1895614 1920960 1934300 1960980 1978032 2018400 2028600 2031015 2046240 2060450 2091712 2101050 2119320 2166416 2241120 2273600 2318400 2321160 2353176 2354800 2401200 2422080 2437218 2451225 2472540 2557800 2614640 2637376 2649150 2689344 2704800 2708020 2785392 2801400 2825760 2843421 2901450 2923200 2941470 2967048 3027600 3090675 3094880 3137568 3201600 3245760 3249624 3268300 3296720 3361680 3385025 3390912 3410400 3481740 3532200 3708810 3713856 3735200 3791228 3868600 3921960 3956064 4036800 4057200 4062030 4092480 4120900 4202100 4238640 4332832 4352175 4482240 4642320 4706352 4709600 4739035 4802400 4874436 4902450 4945080 5115600 5229280 5298300 5409600 5416040 5570784 5602800 5651520 5686842 5802900 5882940 5934096 6055200 6093045 6181350 6189760 6275136 6499248 6536600 6593440 6723360 6770050 6820800 6963480 7064400 7353675 7417620 7470400 7582456 7737200 7843920 7912128 8114400 8124060 8241800 8404200 8477280 8530263 8665664 8704350 9272025 9284640 9412704 9419200 9478070 9604800 9748872 9804900 9890160 10155075 10231200 10458560 10596600 10832080 11141568 11205600 11373684 11605800 11765880 11868192 12110400 12186090 12362700 12998496 13073200 13186880 13446720 13540100 13926960 14128800 14217105 14707350 14835240 15164912 15474400 15687840 16228800 16248120 16483600 16808400 16954560 17060526 17408700 18544050 18569280 18825408 18956140 19497744 19609800 19780320 20310150 20462400 21193200 21664160 22411200 22747368 23211600 23531760 23695175 23736384 24372180 24725400 25996992 26146400 27080200 27853920 28257600 28434210 29414700 29670480 30329824 30465225 30948800 31375680 32496240 32967200 33616800 34121052 34817400 37088100 37912280 38995488 39219600 39560640 40620300 42386400 42651315 43328320 45494736 46423200 47063520 47390350 48744360 49450800 52292800 54160400 55707840 56868420 58829400 59340960 60659648 60930450 64992480 65934400 67233600 68242104 69634800 71085525 74176200 75824560 77990976 78439200 81240600 84772800 85302630 90989472 92846400 94127040 94780700 97488720 98901600 108320800 113736840 117658800 118681920 121860900 129984960 136484208 139269600 142171050 148352400 151649120 156878400 162481200 170605260 181978944 189561400 194977440 197803200 213256575 216641600 227473680 235317600 243721800 272968416 278539200 284342100 296704800 303298240 324962400 341210520 379122800 389954880 426513150 454947360 470635200 487443600 545936832 568684200 593409600 649924800 682421040 758245600 853026300 909894720 974887200 1137368400 1364842080 1516491200 1706052600 1949774400 2274736800 2729684160 3412105200 4549473600 6824210400 13648420800
- Sum of all divisors σ(n): 60983594568
- Sum of proper divisors (its aliquot sum) s(n): 47335173768
- 13648420800 is an abundant number, because the sum of its proper divisors (47335173768) is greater than itself. Its abundance is 33686752968
Bases of 13648420800
- Binary: 11001011011000001001011111110000002
- Hexadecimal: 0x32D825FC0
- Base-36: 69PX0W0
Squares and roots of 13648420800
- 13648420800 squared (136484208002) is 186279390333872640000
- 13648420800 cubed (136484208003) is 2542419505644146284326912000000
-
The
square root of 13648420800 is 116826.4559078979 -
The
cube root of 13648420800 is 2389.7958428109
Scales and comparisons
How big is 13648420800?- 13,648,420,800 seconds is equal to 433 years, 50 weeks, 5 days, 20 hours.
-
To count from 1 to 13,648,420,800 would take you about eight hundred sixty-seven 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 13648420800 cubic inches would be around 199.1 feet tall.
Recreational maths with 13648420800
- 13648420800 backwards is 00802484631
- 13648420800 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13648420800's digits is 36
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13648420800 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 13648420800 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/13648420800/
Chicago style:
Numbermatics. 2024. "Number 13648420800 - Facts about the integer". https://numbermatics.com/n/13648420800/
The information we have on file for 13648420800 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!
Keywords: Divisors of 13648420800, math, Factors of 13648420800, curriculum, school, college, exams, university, Prime factorization of 13648420800, STEM, science, technology, engineering, physics, economics, calculator, thirteen billion, six hundred forty-eight million, four hundred twenty thousand, eight hundred.