42405983036584972
42,405,983,036,584,972 is an even composite number composed of five prime numbers multiplied together.
What does the number 42405983036584972 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 576 divisors.
42405983036584972 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 42405983036584972:
22 × 73 × 195 × 433 × 157
(2 × 2 × 7 × 7 × 7 × 19 × 19 × 19 × 19 × 19 × 43 × 43 × 43 × 157)See below for interesting mathematical facts about the number 42405983036584972 from the Numbermatics database.
Names of 42405983036584972
- Cardinal: 42405983036584972 can be written as Forty-two quadrillion, four hundred five trillion, nine hundred eighty-three billion, thirty-six million, five hundred eighty-four thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 4.2405983036584972 × 1016
Factors of 42405983036584972
Divisors of 42405983036584972
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 7 14 19 28 38 43 49 76 86 98 133 157 172 196 266 301 314 343 361 532 602 628 686 722 817 931 1099 1204 1372 1444 1634 1849 1862 2107 2198 2527 2983 3268 3698 3724 4214 4396 5054 5719 5966 6517 6751 6859 7396 7693 8428 10108 11438 11932 12943 13034 13502 13718 14749 15386 15523 17689 20881 22876 25886 26068 27004 27436 29498 30772 31046 35131 35378 40033 41762 47257 48013 51772 53851 56677 58996 62092 70262 70756 79507 80066 83524 90601 94514 96026 107702 108661 113354 123823 128269 130321 140524 146167 159014 160132 181202 189028 192052 215404 217322 226708 245917 247646 256538 260642 280231 290293 292334 294937 318028 330799 336091 362404 396739 434644 491834 495292 513076 521284 556549 560462 580586 584668 589874 634207 661598 667489 672182 760627 793478 897883 912247 983668 1023169 1076863 1113098 1120924 1161172 1179748 1268414 1323196 1334978 1344364 1510633 1521254 1586956 1721419 1795766 1824494 2032051 2046338 2064559 2153726 2226196 2315593 2352637 2437111 2476099 2536828 2669956 2777173 3021266 3042508 3442838 3591532 3648988 3895843 4064102 4092676 4129118 4307452 4631186 4672423 4705274 4874222 4952198 5324389 5515567 5554346 5603803 6042532 6285181 6385729 6885676 7538041 7791686 8128204 8258236 9262372 9344846 9410548 9748444 9904396 10574431 10648778 11031134 11108692 11207606 12049933 12482599 12570362 12682291 12771458 14224357 14451913 15076082 15583372 17059777 17332693 18689692 19440211 20460397 21148862 21297556 22062268 22415212 24099866 24965198 25140724 25364582 25542916 27270901 28448714 28702027 28903826 30152164 32706961 34119554 34665386 38608969 38880422 39226621 40920794 42297724 43996267 44700103 46305109 48199732 49930396 50729164 52766287 54541802 56897428 57404054 57807652 65413922 68239108 69330772 74021017 77217938 77760844 78453242 81841588 87378193 87992534 88776037 89400206 92610218 99570499 101163391 104795773 105532574 106472257 109083604 114808108 119418439 121328851 130827844 143222779 148042034 154435876 156906484 174756386 175985068 177552074 178800412 185220436 199140998 200914189 202326782 209591546 211065148 212944514 228948727 237169381 238836878 240963529 242657702 270262783 274586347 286445558 296084068 324135763 349512772 355104148 369364009 388747543 398281996 401828378 404653564 419183092 425889028 457897454 474338762 477673756 481927058 485315404 518147119 540525566 545338513 549172694 572891116 611647351 621432259 648271526 733570411 738728018 745305799 777495086 803656756 835929073 849301957 879797071 915794908 948677524 963854116 1002559453 1036294238 1081051132 1090677026 1098345388 1223294702 1242864518 1296543052 1406399323 1467140822 1477456036 1490611598 1554990172 1660185667 1671858146 1686744703 1698603914 1759594142 1891839481 1922104429 1991119687 2005118906 2072588476 2181354052 2268950341 2446589404 2485729036 2721232801 2812798646 2934281644 2981223196 3320371334 3343716292 3373489406 3397207828 3519188284 3783678962 3817369591 3844208858 3982239374 4010237812 4281531457 4350025813 4506218239 4537900682 4578307051 5134992877 5217140593 5442465602 5625597292 6158579497 6640742668 6746978812 7017916171 7567357924 7634739182 7688417716 7964478748 8563062914 8700051626 9012436478 9075801364 9156614102 9844795261 10269985754 10361431747 10434281186 10884931204 11621299669 11807212921 12317158994 13937837809 14035832342 15269478364 15882652387 16716144349 17126125828 17400103252 18024872956 18313228204 19048629607 19689590522 20539971508 20722863494 20868562372 23242599338 23614425842 24634317988 26721587137 27875675618 28071664684 31543527673 31765304774 32048149357 33432288698 35944950139 36519984151 37831274053 38097259214 39379181044 41445726988 43110056479 46485198676 47228851684 53443174274 55751351236 63087055346 63530609548 64096298714 66864577396 71889900278 72530022229 73039968302 75662548106 76194518428 81349097683 82650490447 85618146541 86220112958 97564864663 106886348548 117013010443 126174110692 128192597428 133340407249 143779800556 145060044458 146079936604 151325096212 162698195366 165300980894 171236293082 172440225916 187051109959 195129729326 196867203193 220804693711 224337045499 234026020886 264818918371 266680814498 290120088916 301770395353 325396390732 330601961788 342472586164 374102219918 390259458652 393734406386 441609387422 448674090998 468052041772 507710155603 529637836742 533361628996 599327025787 603540790706 682954052641 718794207007 748204439836 787468812772 819091073101 883218774844 897348181996 1015420311206 1059275673484 1198654051574 1207081581412 1365908105282 1378070422351 1437588414014 1545632855977 1570359318493 1626744784279 1638182146202 1853732428597 2030840622412 2397308103148 2731816210564 2756140844702 2875176828028 3091265711954 3140718636986 3253489568558 3276364292404 3553971089221 3707464857194 4195289180509 5031559449049 5512281689404 5733637511707 6182531423908 6281437273972 6506979137116 7107942178442 7414929714388 8390578361018 9646492956457 10063118898098 11387213489953 11467275023414 12976127000179 14215884356884 16781156722036 19292985912914 20126237796196 22774426979906 22934550046828 25952254000358 29367024263563 30908150901301 35220916143343 38585971825828 45548853959812 51904508000716 58734048527126 61816301802602 67525450695199 70441832286686 79710494429671 117468097054252 123632603605204 135050901390398 140883664573372 159420988859342 216357056309107 246546413003401 270101802780796 318841977718684 432714112618214 493092826006802 557973461007697 865428225236428 986185652013604 1115946922015394 1514499394163749 2231893844030788 3028998788327498 6057997576654996 10601495759146243 21202991518292486 42405983036584972
- Sum of all divisors σ(n): 94121451177600000
- Sum of proper divisors (its aliquot sum) s(n): 51715468141015028
- 42405983036584972 is an abundant number, because the sum of its proper divisors (51715468141015028) is greater than itself. Its abundance is 9309485104430056
Bases of 42405983036584972
- Binary: 100101101010100000000100010100110011111100110100000011002
- Hexadecimal: 0x96A804533F340C
- Base-36: BLJNZO1Y2VG
Squares and roots of 42405983036584972
- 42405983036584972 squared (424059830365849722) is 1798267397299132402713412176240784
- 42405983036584972 cubed (424059830365849723) is 76257296745110816962915745195222598702900147898048
-
The
square root of 42405983036584972 is 205927130.4043859395 -
The
cube root of 42405983036584972 is 348719.0812181887
Scales and comparisons
How big is 42405983036584972?- 42,405,983,036,584,972 seconds is equal to 1,348,379,090 years, 12 weeks, 5 days, 8 hours, 42 minutes, 52 seconds.
-
To count from 1 to 42,405,983,036,584,972 would take you about four billion, forty-five million, one hundred thirty-seven thousand, two hundred seventy 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 42405983036584972 cubic inches would be around 29059.9 feet tall.
Recreational maths with 42405983036584972
- 42405983036584972 backwards is 27948563038950424
- The number of decimal digits it has is: 17
- The sum of 42405983036584972's digits is 79
- More coming soon!
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The information we have on file for 42405983036584972 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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