13705983773466624
13,705,983,773,466,624 is an even composite number composed of four prime numbers multiplied together.
What does the number 13705983773466624 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 672 divisors.
13705983773466624 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 13705983773466624:
213 × 33 × 312 × 4013
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 31 × 31 × 401 × 401 × 401)See below for interesting mathematical facts about the number 13705983773466624 from the Numbermatics database.
Names of 13705983773466624
- Cardinal: 13705983773466624 can be written as Thirteen quadrillion, seven hundred five trillion, nine hundred eighty-three billion, seven hundred seventy-three million, four hundred sixty-six thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.3705983773466624 × 1016
Factors of 13705983773466624
Divisors of 13705983773466624
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 401 432 496 512 558 576 744 768 802 837 864 961 992 1024 1116 1152 1203 1488 1536 1604 1674 1728 1922 1984 2048 2232 2304 2406 2883 2976 3072 3208 3348 3456 3609 3844 3968 4096 4464 4608 4812 5766 5952 6144 6416 6696 6912 7218 7688 7936 8192 8649 8928 9216 9624 10827 11532 11904 12288 12431 12832 13392 13824 14436 15376 15872 17298 17856 18432 19248 21654 23064 23808 24576 24862 25664 25947 26784 27648 28872 30752 31744 34596 35712 36864 37293 38496 43308 46128 47616 49724 51328 51894 53568 55296 57744 61504 63488 69192 71424 73728 74586 76992 86616 92256 95232 99448 102656 103788 107136 110592 111879 115488 123008 126976 138384 142848 149172 153984 160801 173232 184512 190464 198896 205312 207576 214272 221184 223758 230976 246016 253952 276768 285696 298344 307968 321602 335637 346464 369024 380928 385361 397792 410624 415152 428544 447516 461952 482403 492032 553536 571392 596688 615936 643204 671274 692928 738048 761856 770722 795584 821248 830304 857088 895032 923904 964806 984064 1107072 1142784 1156083 1193376 1231872 1286408 1342548 1385856 1447209 1476096 1541444 1591168 1642496 1660608 1714176 1790064 1847808 1929612 1968128 2214144 2285568 2312166 2386752 2463744 2572816 2685096 2771712 2894418 2952192 3082888 3182336 3284992 3321216 3428352 3468249 3580128 3695616 3859224 3936256 4341627 4428288 4624332 4773504 4927488 4984831 5145632 5370192 5543424 5788836 5904384 6165776 6364672 6642432 6856704 6936498 7160256 7391232 7718448 7872512 8683254 8856576 9248664 9547008 9854976 9969662 10291264 10404747 10740384 11086848 11577672 11808768 12331552 12729344 13284864 13872996 14320512 14782464 14954493 15436896 17366508 17713152 18497328 19094016 19939324 20582528 20809494 21480768 22173696 23155344 23617536 24663104 25458688 26569728 27745992 28641024 29564928 29908986 30873792 34733016 35426304 36994656 38188032 39878648 41165056 41618988 42961536 44347392 44863479 46310688 49326208 50917376 53139456 55491984 57282048 59817972 61747584 64481201 69466032 70852608 73989312 76376064 79757296 82330112 83237976 85923072 88694784 89726958 92621376 98652416 101834752 106278912 110983968 114564096 119635944 123495168 128962402 134590437 138932064 147978624 152752128 154529761 159514592 164660224 166475952 171846144 179453916 185242752 193443603 197304832 212557824 221967936 229128192 239271888 246990336 257924804 269180874 277864128 295957248 305504256 309059522 319029184 329320448 332951904 343692288 358907832 370485504 386887206 394609664 443935872 458256384 463589283 478543776 493980672 515849608 538361748 555728256 580330809 591914496 618119044 638058368 658640896 665903808 687384576 717815664 740971008 773774412 789219328 887871744 916512768 927178566 957087552 987961344 1031699216 1076723496 1111456512 1160661618 1183828992 1236238088 1276116736 1317281792 1331807616 1374769152 1390767849 1435631328 1481942016 1547548824 1578438656 1740992427 1775743488 1854357132 1914175104 1975922688 1998917231 2063398432 2153446992 2222913024 2321323236 2367657984 2472476176 2552233472 2663615232 2749538304 2781535698 2871262656 2963884032 3095097648 3156877312 3481984854 3551486976 3708714264 3828350208 3951845376 3997834462 4126796864 4172303547 4306893984 4445826048 4642646472 4735315968 4944952352 5104466944 5327230464 5563071396 5742525312 5927768064 5996751693 6190195296 6963969708 7102973952 7417428528 7656700416 7995668924 8253593728 8344607094 8613787968 8891652096 9285292944 9470631936 9889904704 10208933888 10654460928 11126142792 11485050624 11855536128 11993503386 12380390592 13927939416 14205947904 14834857056 15313400832 15991337848 16507187456 16689214188 17227575936 17783304192 17990255079 18570585888 19779809408 20417867776 21308921856 22252285584 22970101248 23987006772 24760781184 27855878832 28411895808 29669714112 30626801664 31982675696 33014374912 33378428376 34455151872 35566608384 35980510158 37141171776 39559618816 40835735552 42617843712 44504571168 45940202496 47974013544 49521562368 53970765237 55711757664 59339428224 61253603328 61966434161 63965351392 66028749824 66756856752 68910303744 71961020316 74282343552 79119237632 85235687424 89009142336 91880404992 95948027088 99043124736 107941530474 111423515328 118678856448 122507206656 123932868322 127930702784 132057499648 133513713504 137820607488 143922040632 148564687104 158238475264 178018284672 183760809984 185899302483 191896054176 198086249472 215883060948 222847030656 237357712896 247865736644 255861405568 264114999296 267027427008 275641214976 287844081264 297129374208 316476950528 356036569344 367521619968 371798604966 383792108352 396172498944 431766121896 445694061312 474715425792 495731473288 511722811136 528229998592 534054854016 551282429952 557697907449 575688162528 594258748416 632953901056 712073138688 743597209932 767584216704 792344997888 863532243792 891388122624 949430851584 991462946576 1023445622272 1068109708032 1102564859904 1115395814898 1151376325056 1188517496832 1265907802112 1424146277376 1487194419864 1535168433408 1584689995776 1673093722347 1727064487584 1782776245248 1898861703168 1982925893152 2046891244544 2136219416064 2230791629796 2302752650112 2377034993664 2848292554752 2974388839728 3070336866816 3346187444694 3454128975168 3565552490496 3797723406336 3965851786304 4093782489088 4272438832128 4461583259592 4605505300224 4754069987328 5696585109504 5948777679456 6140673733632 6692374889388 6908257950336 7131104980992 7931703572608 8187564978176 8544877664256 8923166519184 9211010600448 11393170219008 11897555358912 12281347467264 13384749778776 13816515900672 14262209961984 15863407145216 16375129956352 17089755328512 17846333038368 18422021200896 23795110717824 24562694934528 26769499557552 27633031801344 31726814290432 34179510657024 35692666076736 36844042401792 47590221435648 49125389869056 53538999115104 55266063602688 63453628580864 71385332153472 73688084803584 95180442871296 107077998230208 110532127205376 126907257161728 142770664306944 147376169607168 190360885742592 214155996460416 221064254410752 253814514323456 285541328613888 380721771485184 428311992920832 442128508821504 507629028646912 571082657227776 761443542970368 856623985841664 1142165314455552 1522887085940736 1713247971683328 2284330628911104 3426495943366656 4568661257822208 6852991886733312 13705983773466624
- Sum of all divisors σ(n): 42064929967955040
- Sum of proper divisors (its aliquot sum) s(n): 28358946194488416
- 13705983773466624 is an abundant number, because the sum of its proper divisors (28358946194488416) is greater than itself. Its abundance is 14652962421021792
Bases of 13705983773466624
- Binary: 1100001011000110000101000001100001110101100000000000002
- Hexadecimal: 0x30B185061D6000
- Base-36: 3QYD60SPHC0
Squares and roots of 13705983773466624
- 13705983773466624 squared (137059837734666242) is 187853991198530397473402441957376
- 13705983773466624 cubed (137059837734666243) is 2574723755147999630006717116756998754735566618624
-
The
square root of 13705983773466624 is 117072557.7300958433 -
The
cube root of 13705983773466624 is 239315.0829548071
Scales and comparisons
How big is 13705983773466624?- 13,705,983,773,466,624 seconds is equal to 435,807,888 years, 31 weeks, 3 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 13,705,983,773,466,624 would take you about one billion, three hundred seven million, four hundred twenty-three thousand, six hundred sixty-five 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 13705983773466624 cubic inches would be around 19942.9 feet tall.
Recreational maths with 13705983773466624
- 13705983773466624 backwards is 42666437738950731
- The number of decimal digits it has is: 17
- The sum of 13705983773466624's digits is 81
- More coming soon!
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The information we have on file for 13705983773466624 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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