13820567224320
13,820,567,224,320 is an even composite number composed of four prime numbers multiplied together.
13820567224320 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred twenty-eight divisors.
Prime factorization of 13820567224320:
225 × 36 × 5 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 113)See below for interesting mathematical facts about the number 13820567224320 from the Numbermatics database.
Names of 13820567224320
- Cardinal: 13820567224320 can be written as Thirteen trillion, eight hundred twenty billion, five hundred sixty-seven million, two hundred twenty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.382056722432 × 1013
Factors of 13820567224320
Divisors of 13820567224320
- Number of divisors d(n): 728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 113 120 128 135 144 160 162 180 192 216 226 240 243 256 270 288 320 324 339 360 384 405 432 452 480 486 512 540 565 576 640 648 678 720 729 768 810 864 904 960 972 1017 1024 1080 1130 1152 1215 1280 1296 1356 1440 1458 1536 1620 1695 1728 1808 1920 1944 2034 2048 2160 2260 2304 2430 2560 2592 2712 2880 2916 3051 3072 3240 3390 3456 3616 3645 3840 3888 4068 4096 4320 4520 4608 4860 5085 5120 5184 5424 5760 5832 6102 6144 6480 6780 6912 7232 7290 7680 7776 8136 8192 8640 9040 9153 9216 9720 10170 10240 10368 10848 11520 11664 12204 12288 12960 13560 13824 14464 14580 15255 15360 15552 16272 16384 17280 18080 18306 18432 19440 20340 20480 20736 21696 23040 23328 24408 24576 25920 27120 27459 27648 28928 29160 30510 30720 31104 32544 32768 34560 36160 36612 36864 38880 40680 40960 41472 43392 45765 46080 46656 48816 49152 51840 54240 54918 55296 57856 58320 61020 61440 62208 65088 65536 69120 72320 73224 73728 77760 81360 81920 82377 82944 86784 91530 92160 93312 97632 98304 103680 108480 109836 110592 115712 116640 122040 122880 124416 130176 131072 137295 138240 144640 146448 147456 155520 162720 163840 164754 165888 173568 183060 184320 186624 195264 196608 207360 216960 219672 221184 231424 233280 244080 245760 248832 260352 262144 274590 276480 289280 292896 294912 311040 325440 327680 329508 331776 347136 366120 368640 373248 390528 393216 411885 414720 433920 439344 442368 462848 466560 488160 491520 497664 520704 524288 549180 552960 578560 585792 589824 622080 650880 655360 659016 663552 694272 732240 737280 746496 781056 786432 823770 829440 867840 878688 884736 925696 933120 976320 983040 995328 1041408 1048576 1098360 1105920 1157120 1171584 1179648 1244160 1301760 1310720 1318032 1327104 1388544 1464480 1474560 1492992 1562112 1572864 1647540 1658880 1735680 1757376 1769472 1851392 1866240 1952640 1966080 1990656 2082816 2097152 2196720 2211840 2314240 2343168 2359296 2488320 2603520 2621440 2636064 2654208 2777088 2928960 2949120 2985984 3124224 3145728 3295080 3317760 3471360 3514752 3538944 3702784 3732480 3905280 3932160 3981312 4165632 4194304 4393440 4423680 4628480 4686336 4718592 4976640 5207040 5242880 5272128 5308416 5554176 5857920 5898240 5971968 6248448 6291456 6590160 6635520 6942720 7029504 7077888 7405568 7464960 7810560 7864320 7962624 8331264 8388608 8786880 8847360 9256960 9372672 9437184 9953280 10414080 10485760 10544256 10616832 11108352 11715840 11796480 11943936 12496896 12582912 13180320 13271040 13885440 14059008 14155776 14811136 14929920 15621120 15728640 15925248 16662528 16777216 17573760 17694720 18513920 18745344 18874368 19906560 20828160 20971520 21088512 21233664 22216704 23431680 23592960 23887872 24993792 25165824 26360640 26542080 27770880 28118016 28311552 29622272 29859840 31242240 31457280 31850496 33325056 33554432 35147520 35389440 37027840 37490688 37748736 39813120 41656320 41943040 42177024 42467328 44433408 46863360 47185920 47775744 49987584 50331648 52721280 53084160 55541760 56236032 56623104 59244544 59719680 62484480 62914560 63700992 66650112 70295040 70778880 74055680 74981376 75497472 79626240 83312640 83886080 84354048 84934656 88866816 93726720 94371840 95551488 99975168 100663296 105442560 106168320 111083520 112472064 113246208 118489088 119439360 124968960 125829120 127401984 133300224 140590080 141557760 148111360 149962752 150994944 159252480 166625280 167772160 168708096 169869312 177733632 187453440 188743680 191102976 199950336 210885120 212336640 222167040 224944128 226492416 236978176 238878720 249937920 251658240 254803968 266600448 281180160 283115520 296222720 299925504 301989888 318504960 333250560 337416192 339738624 355467264 374906880 377487360 382205952 399900672 421770240 424673280 444334080 449888256 452984832 473956352 477757440 499875840 503316480 509607936 533200896 562360320 566231040 592445440 599851008 637009920 666501120 674832384 679477248 710934528 749813760 754974720 764411904 799801344 843540480 849346560 888668160 899776512 905969664 947912704 955514880 999751680 1019215872 1066401792 1124720640 1132462080 1184890880 1199702016 1274019840 1333002240 1349664768 1358954496 1421869056 1499627520 1509949440 1528823808 1599602688 1687080960 1698693120 1777336320 1799553024 1895825408 1911029760 1999503360 2038431744 2132803584 2249441280 2264924160 2369781760 2399404032 2548039680 2666004480 2699329536 2717908992 2843738112 2999255040 3057647616 3199205376 3374161920 3397386240 3554672640 3599106048 3791650816 3822059520 3999006720 4076863488 4265607168 4498882560 4529848320 4739563520 4798808064 5096079360 5332008960 5398659072 5687476224 5998510080 6115295232 6398410752 6748323840 6794772480 7109345280 7198212096 7644119040 7998013440 8153726976 8531214336 8997765120 9479127040 9597616128 10192158720 10664017920 10797318144 11374952448 11997020160 12230590464 12796821504 13496647680 13589544960 14218690560 14396424192 15288238080 15996026880 17062428672 17995530240 18958254080 19195232256 20384317440 21328035840 21594636288 23994040320 24461180928 25593643008 26993295360 28437381120 28792848384 30576476160 31992053760 34124857344 35991060480 38390464512 40768634880 42656071680 43189272576 47988080640 51187286016 53986590720 56874762240 57585696768 61152952320 63984107520 71982120960 76780929024 85312143360 86378545152 95976161280 102374572032 107973181440 115171393536 122305904640 127968215040 143964241920 153561858048 170624286720 172757090304 191952322560 215946362880 230342787072 255936430080 287928483840 307123716096 345514180608 383904645120 431892725760 460685574144 511872860160 575856967680 691028361216 767809290240 863785451520 921371148288 1151713935360 1382056722432 1535618580480 1727570903040 2303427870720 2764113444864 3455141806080 4606855741440 6910283612160 13820567224320
- Sum of all divisors σ(n): 50171391285156
- Sum of proper divisors (its aliquot sum) s(n): 36350824060836
- 13820567224320 is an abundant number, because the sum of its proper divisors (36350824060836) is greater than itself. Its abundance is 22530256836516
Bases of 13820567224320
- Binary: 110010010001110110100000000000000000000000002
- Hexadecimal: 0xC91DA000000
- Base-36: 4WD2WW000
Squares and roots of 13820567224320
- 13820567224320 squared (138205672243202) is 191008078401948229199462400
- 13820567224320 cubed (138205672243203) is 2639839987942310579307553237204205568000
-
The
square root of 13820567224320 is 3717602.3488694969 -
The
cube root of 13820567224320 is 23998.0132755431
Scales and comparisons
How big is 13820567224320?- 13,820,567,224,320 seconds is equal to 439,451 years, 14 weeks, 6 days, 19 hours, 12 minutes.
-
To count from 1 to 13,820,567,224,320 would take you about one million, ninety-eight thousand, six hundred twenty-eight 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 13820567224320 cubic inches would be around 1999.8 feet tall.
Recreational maths with 13820567224320
- 13820567224320 backwards is 02342276502831
- 13820567224320 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13820567224320's digits is 45
- More coming soon!
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