146139384961024
146,139,384,961,024 is an even composite number composed of seven prime numbers multiplied together.
146139384961024 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 146139384961024:
211 × 72 × 13 × 17 × 19 × 472 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 17 × 19 × 47 × 47 × 157)See below for interesting mathematical facts about the number 146139384961024 from the Numbermatics database.
Names of 146139384961024
- Cardinal: 146139384961024 can be written as One hundred forty-six trillion, one hundred thirty-nine billion, three hundred eighty-four million, nine hundred sixty-one thousand and twenty-four.
Scientific notation
- Scientific notation: 1.46139384961024 × 1014
Factors of 146139384961024
Divisors of 146139384961024
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 19 26 28 32 34 38 47 49 52 56 64 68 76 91 94 98 104 112 119 128 133 136 152 157 182 188 196 208 221 224 238 247 256 266 272 304 314 323 329 364 376 392 416 442 448 476 494 512 532 544 608 611 628 637 646 658 728 752 784 799 832 833 884 893 896 931 952 988 1024 1064 1088 1099 1216 1222 1256 1274 1292 1316 1456 1504 1547 1568 1598 1664 1666 1729 1768 1786 1792 1862 1904 1976 2041 2048 2128 2176 2198 2209 2261 2303 2432 2444 2512 2548 2584 2632 2669 2912 2983 3008 3094 3136 3196 3328 3332 3458 3536 3572 3584 3724 3808 3952 4082 4199 4256 4277 4352 4396 4418 4522 4606 4864 4888 5024 5096 5168 5264 5338 5593 5824 5966 6016 6188 6251 6272 6392 6656 6664 6916 7072 7144 7168 7379 7448 7616 7693 7904 8164 8398 8512 8554 8704 8792 8836 9044 9212 9728 9776 10048 10192 10336 10387 10528 10676 10829 11186 11609 11648 11932 12032 12103 12376 12502 12544 12784 13312 13328 13832 14144 14287 14288 14336 14758 14896 15181 15232 15386 15463 15808 15827 16328 16796 17024 17108 17408 17584 17672 18088 18424 18683 19456 19552 20096 20384 20672 20774 20881 21056 21352 21658 22372 23218 23296 23864 24064 24206 24752 25004 25088 25568 26624 26656 27664 28288 28574 28576 28717 29393 29516 29792 29939 30362 30464 30772 30926 31616 31654 32656 33592 34048 34216 34697 34816 35168 35344 36176 36848 37366 37553 38779 38912 39104 39151 40192 40768 41344 41548 41762 41971 42112 42704 43316 43757 44744 46436 46592 47728 48128 48412 49504 50008 50176 50711 51136 51653 53312 55328 56576 57148 57152 57434 58786 59032 59584 59878 60724 60928 61544 61852 63232 63308 65312 67184 68096 68432 69394 70336 70688 72352 72709 73696 74732 75106 77558 78208 78302 80384 81263 81536 82688 83096 83524 83942 84224 85408 86632 87514 89488 92872 93184 95456 95927 96256 96824 99008 100009 100016 100352 101422 102272 103306 106267 106624 108241 110656 113152 114296 114304 114868 117572 118064 119168 119756 121448 121856 123088 123704 125443 126464 126616 130624 130781 134368 136192 136864 138788 140201 140672 141376 144704 145418 146167 147392 149464 150212 155116 156416 156604 160768 162526 163072 165376 166192 167048 167884 168448 170816 173264 175028 178976 185744 186368 190912 191854 193648 197353 198016 200018 200032 201019 202844 204544 205751 206612 212534 213248 216482 221312 226304 228592 228608 229736 235144 236128 238336 239512 242879 242896 243712 246176 247408 250886 252928 253232 261248 261562 262871 268736 271453 272384 273728 277576 280402 281344 282752 289408 290836 292334 293797 294784 298928 300424 310232 312832 313208 321536 325052 326144 330752 332384 334096 335768 336896 341632 346528 346813 350056 354977 357952 361571 371488 381824 383708 387296 394706 396032 400036 400064 402038 405688 409088 411502 413224 425068 426496 432964 442624 452608 457184 457216 459472 470288 472256 476672 479024 485758 485792 488189 492352 494816 501772 505856 506464 508963 522496 523124 525742 537472 542906 545623 547456 555152 560804 562688 565504 568841 578816 581672 584668 587594 589568 597856 600848 620464 625664 626416 650104 652288 659243 661504 664768 668192 671489 671536 673792 683264 693056 693626 700112 709954 713507 715904 723142 742976 743869 763648 767416 774592 789412 792064 800072 800128 804076 811376 818176 823004 826448 850136 852992 865928 878101 885248 914368 914432 918944 940576 944512 953344 958048 971516 971584 976378 981407 984704 989632 1003544 1012928 1017926 1044992 1046248 1051484 1074944 1085812 1091246 1094912 1110304 1121608 1125376 1131008 1137682 1157632 1163344 1169336 1175188 1179136 1195712 1201696 1240928 1251328 1252832 1300208 1304576 1318486 1329536 1336384 1342978 1343072 1366528 1381471 1386112 1387252 1400224 1407133 1419908 1427014 1431808 1446284 1485952 1487738 1527296 1534832 1549184 1578824 1584128 1600144 1600256 1608152 1622752 1630759 1636352 1646008 1652896 1700153 1700272 1705984 1731856 1756202 1770496 1822613 1828736 1828864 1837888 1840097 1881152 1889024 1900171 1906688 1916096 1943032 1943168 1952756 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1983002944 2009921536 2019838912 2067386048 2077732384 2105936896 2135541632 2146078844 2175211136 2237557952 2308387328 2311161832 2362726912 2374551296 2398558708 2406616576 2440619008 2452661536 2475596032 2485955584 2544475136 2557030112 2557209088 2583063224 2641327808 2741209952 2829252608 2857857184 2881808384 2912535574 2922320128 2952072256 3018660352 3036473258 3061921408 3136576772 3147113984 3266122496 3339794432 3373796864 3422147456 3470255152 3481913344 3499338752 3517362688 3534718096 3584659168 3636031672 3732711424 3737197856 3755637977 3768518656 3891550208 3911025664 3966005888 4039677824 4134772096 4155464768 4197477739 4211873792 4271083264 4292157688 4350422272 4475115904 4616774656 4622323664 4725453824 4749102592 4797117416 4813233152 4881238016 4905323072 4951192064 4971911168 5088950272 5114060224 5114418176 5166126448 5282655616 5482419904 5489009351 5715714368 5825071148 5844640256 5904144512 6037320704 6072946516 6123842816 6273153544 6294227968 6532244992 6747593728 6844294912 6940510304 6998677504 7034725376 7069436192 7169318336 7272063344 7474395712 7511275954 7822051328 7932011776 8079355648 8269544192 8310929536 8394955478 8542166528 8584315376 8700844544 8950231808 9233549312 9244647328 9450907648 9498205184 9594234832 9626466304 9810646144 9902384128 10193874509 10228120448 10228836352 10332252896 10565311232 10964839808 10978018702 11431428736 11650142296 11689280512 11808289024 12074641408 12145893032 12247685632 12546307088 12588455936 13064489984 13495187456 13688589824 13881020608 14069450752 14138872384 14338636672 14544126688 14948791424 15022551908 15864023552 16158711296 16539088384 16621859072 16789910956 17084333056 17168630752 17401689088 17900463616 18489294656 18996410368 19188469664 19621292288 19804768256 20387749018 20456240896 20664505792 21130622464 21929679616 21956037404 22862857472 23300284592 23378561024 23616578048 24291786064 24495371264 25092614176 26128979968 27377179648 27762041216 28277744768 28677273344 29088253376 29897582848 30045103816 31728047104 32317422592 33078176768 33243718144 33579821912 34168666112 34337261504 34803378176 35800927232 36978589312 38376939328 39242584576 40775498036 40912481792 41329011584 42261244928 43859359232 43912074808 45725714944 46600569184 47233156096 48583572128 48990742528 50185228352 54754359296 55524082432 56555489536 57354546688 58176506752 59795165696 60090207632 63456094208 64634845184 66156353536 66487436288 67159643824 68674523008 71357121563 71601854464 73957178624 76753878656 78485169152 81550996072 81824963584 82658023168 84522489856 87718718464 87824149616 91451429888 93201138368 94466312192 97167144256 100370456704 111048164864 113110979072 114709093376 116353013504 119590331392 120180415264 132974872576 134319287648 137349046016 142714243126 147914357248 153507757312 156970338304 163101992144 163649927168 165316046336 175437436928 175648299232 182902859776 186402276736 194334288512 200740913408 222096329728 226221958144 229418186752 232706027008 239180662784 240360830528 268638575296 274698092032 285428486252 295828714496 307015514624 326203984288 330632092672 351296598464 372804553472 388668577024 401481826816 444192659456 452443916288 465412054016 480721661056 537277150592 549396184064 570856972504 591657428992 614031029248 652407968576 661264185344 702593196928 745609106944 777337154048 802963653632 930824108032 961443322112 1074554301184 1098792368128 1141713945008 1228062058496 1304815937152 1405186393856 1491218213888 1554674308096 1605927307264 1922886644224 2149108602368 2283427890016 2609631874304 2810372787712 2982436427776 3109348616192 3845773288448 4298217204736 4566855780032 5219263748608 5620745575424 7691546576896 8596434409472 9133711560064 10438527497216 11241491150848 18267423120128 20877054994432 36534846240256 73069692480512 146139384961024
- Sum of all divisors σ(n): 419515435029600
- Sum of proper divisors (its aliquot sum) s(n): 273376050068576
- 146139384961024 is an abundant number, because the sum of its proper divisors (273376050068576) is greater than itself. Its abundance is 127236665107552
Bases of 146139384961024
- Binary: 1000010011101001101110100010000011011000000000002
- Hexadecimal: 0x84E9BA20D800
- Base-36: 1FSVI8LJWG
Squares and roots of 146139384961024
- 146139384961024 squared (1461393849610242) is 21356719836786367661999128576
- 146139384961024 cubed (1461393849610243) is 3121057901732860634149855054638487724621824
-
The
square root of 146139384961024 is 12088812.3883623903 -
The
cube root of 146139384961024 is 52673.1258165545
Scales and comparisons
How big is 146139384961024?- 146,139,384,961,024 seconds is equal to 4,646,780 years, 20 weeks, 6 days, 16 hours, 17 minutes, 4 seconds.
-
To count from 1 to 146,139,384,961,024 would take you about eleven million, six hundred sixteen thousand, nine hundred fifty-one 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 146139384961024 cubic inches would be around 4389.4 feet tall.
Recreational maths with 146139384961024
- 146139384961024 backwards is 420169483931641
- The number of decimal digits it has is: 15
- The sum of 146139384961024's digits is 61
- More coming soon!
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"Number 146139384961024 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
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Numbermatics. (2024). Number 146139384961024 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/146139384961024/
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The information we have on file for 146139384961024 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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