142105420300032
142,105,420,300,032 is an even composite number composed of six prime numbers multiplied together.
What does the number 142105420300032 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
142105420300032 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 142105420300032:
28 × 33 × 72 × 23 × 37 × 793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 23 × 37 × 79 × 79 × 79)See below for interesting mathematical facts about the number 142105420300032 from the Numbermatics database.
Names of 142105420300032
- Cardinal: 142105420300032 can be written as One hundred forty-two trillion, one hundred five billion, four hundred twenty million, three hundred thousand and thirty-two.
Scientific notation
- Scientific notation: 1.42105420300032 × 1014
Factors of 142105420300032
Divisors of 142105420300032
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 37 42 46 48 49 54 56 63 64 69 72 74 79 84 92 96 98 108 111 112 126 128 138 144 147 148 158 161 168 184 189 192 196 207 216 222 224 237 252 256 259 276 288 294 296 316 322 333 336 368 378 384 392 414 432 441 444 448 474 483 504 518 552 553 576 588 592 621 632 644 666 672 711 736 756 768 777 784 828 851 864 882 888 896 948 966 999 1008 1036 1104 1106 1127 1152 1176 1184 1242 1264 1288 1323 1332 1344 1422 1449 1472 1512 1554 1568 1656 1659 1702 1728 1764 1776 1792 1813 1817 1896 1932 1998 2016 2072 2133 2208 2212 2254 2304 2331 2352 2368 2484 2528 2553 2576 2646 2664 2688 2844 2898 2923 2944 3024 3108 3136 3312 3318 3381 3404 3456 3528 3552 3626 3634 3792 3864 3871 3996 4032 4144 4266 4347 4416 4424 4508 4662 4704 4736 4968 4977 5056 5106 5152 5292 5328 5376 5439 5451 5688 5796 5846 5888 5957 6048 6216 6241 6272 6624 6636 6762 6808 6912 6993 7056 7104 7252 7268 7584 7659 7728 7742 7992 8064 8288 8532 8694 8769 8832 8848 9016 9324 9408 9472 9936 9954 10112 10143 10212 10304 10584 10656 10878 10902 11376 11592 11613 11692 11914 12096 12432 12482 12544 12719 13248 13272 13524 13616 13986 14112 14208 14504 14536 14931 15168 15318 15456 15484 15984 16128 16317 16353 16576 17064 17388 17538 17664 17696 17871 18032 18648 18723 18816 19872 19908 20224 20286 20424 20461 20608 21168 21312 21756 21804 22752 22977 23184 23226 23384 23828 24192 24864 24964 25438 26307 26496 26544 27048 27232 27972 28224 28416 29008 29072 29862 30336 30429 30636 30912 30968 31968 32634 32706 33152 34128 34776 34839 35076 35392 35742 36064 37296 37446 37632 38157 39744 39816 40572 40848 40922 41216 41699 42336 42624 43512 43608 43687 45504 45954 46368 46452 46768 47656 48384 48951 49059 49728 49928 50876 52614 52992 53088 53613 54096 54464 55944 56169 56448 58016 58144 59724 60672 60858 61272 61383 61824 61936 63936 65268 65412 66304 67229 68256 69552 69678 70152 70784 71484 72128 74592 74892 76314 78921 79488 79632 81144 81696 81844 83398 84672 85248 87024 87216 87374 89033 91008 91908 92736 92904 93536 95312 97902 98118 99456 99856 101752 104517 105228 106176 107226 108192 108928 111888 112338 112896 114471 116032 116288 119448 121716 122544 122766 123648 123872 125097 127872 130536 130824 131061 134458 136512 139104 139356 140304 141568 142968 143227 143543 144256 149184 149784 152628 157842 158976 159264 160839 162288 163392 163688 166796 168507 169344 174048 174432 174748 178066 182016 183816 184149 185472 185808 187072 190624 195804 196236 198912 199712 201687 203504 209034 210456 212352 214452 216384 217856 223776 224676 228942 230917 232064 232576 238896 243432 245088 245532 247744 250194 255744 261072 261648 262122 267099 268916 273024 278208 278712 280608 285936 286454 287086 288512 298368 299568 305256 305809 315684 318528 321678 324576 326784 327376 333592 337014 338688 343413 348096 348864 349496 356132 367632 368298 370944 371616 374144 375291 381248 391608 392472 393183 399424 403374 407008 418068 420912 424704 428904 429681 430629 432768 447552 449352 457884 461834 464128 465152 470603 477792 486864 490176 491064 493039 495488 500388 522144 523296 524244 534198 537832 546048 552447 556416 557424 561216 571872 572908 574172 596736 599136 605061 610512 611618 631368 637056 643356 649152 653568 654752 667184 674028 686826 692751 696192 697728 698992 712264 735264 736596 743232 748288 750582 762496 783216 784944 786366 798848 801297 806748 814016 836136 841824 857808 859362 861258 865536 895104 898704 915768 917427 923668 941206 955584 973728 980352 982128 986078 990976 1000776 1004801 1044288 1046592 1048488 1068396 1075664 1104894 1112832 1114848 1122432 1125873 1143744 1145816 1148344 1179549 1198272 1210122 1221024 1223236 1262736 1274112 1286712 1289043 1291887 1298304 1309504 1334368 1348056 1373652 1385502 1392384 1395456 1397984 1411809 1424528 1470528 1473192 1479117 1486464 1501164 1524992 1566432 1569888 1572732 1597696 1602594 1613496 1616419 1628032 1672272 1683648 1715616 1718724 1722516 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70488799752 71123833984 73553530176 74950116192 78208816896 78381368064 79299899721 80014313232 80558628288 82236933044 83493196416 85657275648 85812451872 90628456824 91444929408 93985066336 96539008356 98071373568 99933488256 105733199628 106685750976 107411504384 110330295264 112425174288 114416602496 120021469848 120837942432 123355399566 126091766016 128485913472 128718677808 137167394112 140977599504 142247667968 147107060352 149900232384 158599799442 160028626464 161117256576 164473866088 166986392832 171624903744 181256913648 182889858816 185033099349 187970132672 193078016712 199866976512 211466399256 213371501952 220660590528 224850348576 228833204992 240042939696 241675884864 246710799132 256971826944 257437355616 274334788224 281955199008 294214120704 299800464768 317199598884 320057252928 322234513152 328947732176 343249807488 362513827296 370066198698 375940265344 386156033424 422932798512 426743003904 441321181056 449700697152 480085879392 483351769728 493421598264 514874711232 548669576448 555099298047 563910398016 599600929536 634399197768 640114505856 657895464352 686499614976 725027654592 740132397396 751880530688 772312066848 845865597024 882642362112 899401394304 960171758784 966703539456 986843196528 1029749422464 1110198596094 1127820796032 1268798395536 1280229011712 1315790928704 1450055309184 1480264794792 1544624133696 1691731194048 1798802788608 1920343517568 1973686393056 2059498844928 2220397192188 2255641592064 2537596791072 2631581857408 2900110618368 2960529589584 3089248267392 3383462388096 3840687035136 3947372786112 4440794384376 5075193582144 5263163714816 5921059179168 6178496534784 6766924776192 7894745572224 8881588768752 10150387164288 11842118358336 15789491144448 17763177537504 20300774328576 23684236716672 35526355075008 47368473433344 71052710150016 142105420300032
- Sum of all divisors σ(n): 530596446105600
- Sum of proper divisors (its aliquot sum) s(n): 388491025805568
- 142105420300032 is an abundant number, because the sum of its proper divisors (388491025805568) is greater than itself. Its abundance is 246385605505536
Bases of 142105420300032
- Binary: 1000000100111110011111110001100011111111000000002
- Hexadecimal: 0x813E7F18FF00
- Base-36: 1EDEBU6YO0
Squares and roots of 142105420300032
- 142105420300032 squared (1421054203000322) is 20193950478648746836899201024
- 142105420300032 cubed (1421054203000323) is 2869669820286412551741173270148491161632768
-
The
square root of 142105420300032 is 11920797.8046786785 -
The
cube root of 142105420300032 is 52183.9417999333
Scales and comparisons
How big is 142105420300032?- 142,105,420,300,032 seconds is equal to 4,518,512 years, 41 weeks, 5 days, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 142,105,420,300,032 would take you about eleven million, two hundred ninety-six thousand, two hundred eighty-two 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 142105420300032 cubic inches would be around 4348.7 feet tall.
Recreational maths with 142105420300032
- 142105420300032 backwards is 230003024501241
- 142105420300032 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 142105420300032's digits is 27
- More coming soon!
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"Number 142105420300032 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 142105420300032 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/142105420300032/
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The information we have on file for 142105420300032 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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