47975730929664
47,975,730,929,664 is an even composite number composed of five prime numbers multiplied together.
47975730929664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 47975730929664:
213 × 3 × 172 × 232 × 1132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 17 × 23 × 23 × 113 × 113)See below for interesting mathematical facts about the number 47975730929664 from the Numbermatics database.
Names of 47975730929664
- Cardinal: 47975730929664 can be written as Forty-seven trillion, nine hundred seventy-five billion, seven hundred thirty million, nine hundred twenty-nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.7975730929664 × 1013
Factors of 47975730929664
Divisors of 47975730929664
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 113 128 136 138 184 192 204 226 256 272 276 289 339 368 384 391 408 452 512 529 544 552 578 678 736 768 782 816 867 904 1024 1058 1088 1104 1156 1173 1356 1472 1536 1564 1587 1632 1734 1808 1921 2048 2116 2176 2208 2312 2346 2599 2712 2944 3072 3128 3174 3264 3468 3616 3842 4096 4232 4352 4416 4624 4692 5198 5424 5763 5888 6144 6256 6348 6528 6647 6936 7232 7684 7797 8192 8464 8704 8832 8993 9248 9384 10396 10848 11526 11776 12288 12512 12696 12769 13056 13294 13872 14464 15368 15594 16928 17408 17664 17986 18496 18768 19941 20792 21696 23052 23552 24576 25024 25392 25538 26112 26588 26979 27744 28928 30736 31188 32657 33856 34816 35328 35972 36992 37536 38307 39882 41584 43392 44183 46104 47104 50048 50784 51076 52224 53176 53958 55488 57856 59777 61472 62376 65314 67712 69632 70656 71944 73984 75072 76614 79764 83168 86784 88366 92208 94208 97971 100096 101568 102152 104448 106352 107916 110976 115712 119554 122944 124752 130628 132549 135424 139264 141312 143888 147968 150144 152881 153228 159528 166336 173568 176732 179331 184416 188416 195942 200192 203136 204304 208896 212704 215832 217073 221952 231424 239108 245888 249504 261256 265098 270848 282624 287776 293687 295936 300288 305762 306456 319056 332672 347136 353464 358662 368832 391884 400384 406272 408608 417792 425408 431664 434146 443904 458643 462848 478216 491776 499008 522512 530196 541696 565248 575552 587374 591872 600576 611524 612912 638112 651219 665344 694272 706928 717324 737664 751111 783768 800768 812544 817216 850816 863328 868292 881061 887808 917286 925696 956432 983552 998016 1016209 1045024 1060392 1083392 1151104 1174748 1183744 1201152 1223048 1225824 1276224 1302438 1330688 1388544 1413856 1434648 1475328 1502222 1567536 1601536 1625088 1634432 1701632 1726656 1736584 1762122 1775616 1834572 1912864 1967104 1996032 2032418 2090048 2120784 2166784 2253333 2302208 2349496 2367488 2402304 2446096 2451648 2552448 2604876 2661376 2777088 2827712 2869296 2950656 3004444 3048627 3135072 3203072 3250176 3268864 3403264 3453312 3473168 3524244 3551232 3669144 3690241 3825728 3934208 3992064 4064836 4180096 4241568 4333568 4506666 4604416 4698992 4804608 4892192 4903296 4992679 5104896 5209752 5322752 5655424 5738592 5901312 6008888 6097254 6270144 6500352 6537728 6754801 6806528 6906624 6946336 7048488 7102464 7338288 7380482 7651456 7868416 7984128 8129672 8360192 8483136 9013332 9208832 9397984 9609216 9784384 9806592 9985358 10209792 10419504 10645504 11070723 11310848 11477184 11802624 12017776 12194508 12540288 13000704 13075456 13509602 13613056 13813248 13892672 14096976 14676576 14760964 14978037 15302912 15736832 15968256 16259344 16720384 16966272 17275553 18026664 18417664 18795968 19568768 19613184 19970716 20264403 20419584 20839008 21291008 22141446 22621696 22954368 23605248 24035552 24389016 25080576 26150912 27019204 27226112 27626496 27785344 28193952 29353152 29521928 29956074 30605824 31936512 32518688 33440768 33932544 34551106 36053328 36835328 37591936 39137536 39226368 39941432 40528806 40839168 41678016 44282892 45243392 45908736 47210496 48071104 48778032 50161152 51826659 52301824 54038408 54452224 55252992 55570688 56387904 58706304 59043856 59912148 61211648 63873024 65037376 66881536 67865088 69102212 72106656 73670656 75183872 78275072 78452736 79882864 81057612 81678336 83356032 84875543 88565784 90486784 91817472 96142208 97556064 100322304 103653318 104603648 108076816 110505984 111141376 112775808 114831617 117412608 118087712 119824296 122423296 130074752 133763072 135730176 138204424 144213312 150367744 156550144 156905472 159765728 162115224 163356672 166712064 169751086 177131568 180973568 183634944 192284416 195112128 200644608 207306636 216153632 221011968 222282752 225551616 229663234 234825216 236175424 239648592 244846592 254626629 260149504 267526144 271460352 276408848 288426624 300735488 313100288 313810944 319531456 324230448 333424128 339502172 344494851 354263136 361947136 367269888 384568832 390224256 401289216 414613272 432307264 444565504 451103232 459326468 469650432 472350848 479297184 489693184 509253258 520299008 542920704 552817696 576853248 601470976 626200576 639062912 648460896 666848256 679004344 688989702 708526272 734539776 769137664 780448512 802578432 829226544 864614528 889131008 902206464 918652936 939300864 944701696 958594368 1018506516 1040598016 1085841408 1105635392 1153706496 1202941952 1252401152 1278125824 1296921792 1333696512 1358008688 1377979404 1417052544 1469079552 1538275328 1560897024 1658453088 1729229056 1778262016 1804412928 1837305872 1878601728 1889403392 1917188736 1952137489 2037013032 2081196032 2211270784 2307412992 2405883904 2556251648 2593843584 2667393024 2716017376 2755958808 2834105088 3076550656 3121794048 3316906176 3458458112 3608825856 3674611744 3757203456 3778806784 3834377472 3904274978 4074026064 4162392064 4422541568 4614825984 5112503296 5187687168 5334786048 5432034752 5511917616 5668210176 5856412467 6153101312 6243588096 6633812352 6916916224 7217651712 7349223488 7557613568 7668754944 7808549956 8148052128 8324784128 8845083136 9229651968 10225006592 10375374336 10864069504 11023835232 11336420352 11712824934 12487176192 13267624704 13833832448 14698446976 15115227136 15337509888 15617099912 16296104256 17690166272 18459303936 20450013184 20750748672 21728139008 22047670464 22672840704 23425649868 24974352384 26535249408 27667664896 29396893952 30230454272 30675019776 31234199824 32592208512 35380332544 40900026368 41501497344 43456278016 44095340928 45345681408 46851299736 53070498816 55335329792 58793787904 61350039552 62468399648 65184417024 70760665088 83002994688 86912556032 88190681856 90691362816 93702599472 106140997632 117587575808 122700079104 124936799296 130368834048 141521330176 166005989376 173825112064 176381363712 187405198944 212281995264 235175151616 249873598592 260737668096 347650224128 352762727424 374810397888 424563990528 470350303232 499747197184 521475336192 695300448256 705525454848 749620795776 940700606464 999494394368 1042950672384 1411050909696 1499241591552 1998988788736 2085901344768 2822101819392 2998483183104 3997977577472 5996966366208 7995955154944 11993932732416 15991910309888 23987865464832 47975730929664
- Sum of all divisors σ(n): 143328955554876
- Sum of proper divisors (its aliquot sum) s(n): 95353224625212
- 47975730929664 is an abundant number, because the sum of its proper divisors (95353224625212) is greater than itself. Its abundance is 47377493695548
Bases of 47975730929664
- Binary: 10101110100010001110000110011001100000000000002
- Hexadecimal: 0x2BA238666000
- Base-36: H07QVHYIO
Squares and roots of 47975730929664
- 47975730929664 squared (479757309296642) is 2301670758235518973715152896
- 47975730929664 cubed (479757309296643) is 110424336985782978477100783427137981906944
-
The
square root of 47975730929664 is 6926451.5395449063 -
The
cube root of 47975730929664 is 36336.2858480403
Scales and comparisons
How big is 47975730929664?- 47,975,730,929,664 seconds is equal to 1,525,479 years, 43 weeks, 6 days, 12 hours, 54 minutes, 24 seconds.
-
To count from 1 to 47,975,730,929,664 would take you about three million, eight hundred thirteen thousand, six hundred ninety-nine 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 47975730929664 cubic inches would be around 3028 feet tall.
Recreational maths with 47975730929664
- 47975730929664 backwards is 46692903757974
- The number of decimal digits it has is: 14
- The sum of 47975730929664's digits is 78
- More coming soon!
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