146413614390312960
146,413,614,390,312,960 is an even composite number composed of five prime numbers multiplied together.
146413614390312960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred forty divisors.
Prime factorization of 146413614390312960:
218 × 34 × 5 × 53 × 51012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 53 × 5101 × 5101)See below for interesting mathematical facts about the number 146413614390312960 from the Numbermatics database.
Names of 146413614390312960
- Cardinal: 146413614390312960 can be written as One hundred forty-six quadrillion, four hundred thirteen trillion, six hundred fourteen billion, three hundred ninety million, three hundred twelve thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.4641361439031296 × 1017
Factors of 146413614390312960
Divisors of 146413614390312960
- Number of divisors d(n): 1140
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 53 54 60 64 72 80 81 90 96 106 108 120 128 135 144 159 160 162 180 192 212 216 240 256 265 270 288 318 320 324 360 384 405 424 432 477 480 512 530 540 576 636 640 648 720 768 795 810 848 864 954 960 1024 1060 1080 1152 1272 1280 1296 1431 1440 1536 1590 1620 1696 1728 1908 1920 2048 2120 2160 2304 2385 2544 2560 2592 2862 2880 3072 3180 3240 3392 3456 3816 3840 4096 4240 4293 4320 4608 4770 5088 5101 5120 5184 5724 5760 6144 6360 6480 6784 6912 7155 7632 7680 8192 8480 8586 8640 9216 9540 10176 10202 10240 10368 11448 11520 12288 12720 12960 13568 13824 14310 15264 15303 15360 16384 16960 17172 17280 18432 19080 20352 20404 20480 20736 21465 22896 23040 24576 25440 25505 25920 27136 27648 28620 30528 30606 30720 32768 33920 34344 34560 36864 38160 40704 40808 40960 41472 42930 45792 45909 46080 49152 50880 51010 51840 54272 55296 57240 61056 61212 61440 65536 67840 68688 69120 73728 76320 76515 81408 81616 81920 82944 85860 91584 91818 92160 98304 101760 102020 103680 108544 110592 114480 122112 122424 122880 131072 135680 137376 137727 138240 147456 152640 153030 162816 163232 163840 165888 171720 183168 183636 184320 196608 203520 204040 207360 217088 221184 228960 229545 244224 244848 245760 262144 270353 271360 274752 275454 276480 294912 305280 306060 325632 326464 327680 331776 343440 366336 367272 368640 393216 407040 408080 413181 414720 434176 442368 457920 459090 488448 489696 491520 540706 542720 549504 550908 552960 589824 610560 612120 651264 652928 655360 663552 686880 688635 732672 734544 737280 786432 811059 814080 816160 826362 829440 868352 884736 915840 918180 976896 979392 983040 1081412 1085440 1099008 1101816 1105920 1179648 1221120 1224240 1302528 1305856 1310720 1327104 1351765 1373760 1377270 1465344 1469088 1474560 1622118 1628160 1632320 1652724 1658880 1736704 1769472 1831680 1836360 1953792 1958784 1966080 2065905 2162824 2170880 2198016 2203632 2211840 2359296 2433177 2442240 2448480 2605056 2611712 2654208 2703530 2747520 2754540 2930688 2938176 2949120 3244236 3256320 3264640 3305448 3317760 3473408 3538944 3663360 3672720 3907584 3917568 3932160 4055295 4131810 4325648 4341760 4396032 4407264 4423680 4866354 4884480 4896960 5210112 5223424 5308416 5407060 5495040 5509080 5861376 5876352 5898240 6488472 6512640 6529280 6610896 6635520 6946816 7077888 7299531 7326720 7345440 7815168 7835136 8110590 8263620 8651296 8683520 8792064 8814528 8847360 9732708 9768960 9793920 10420224 10446848 10616832 10814120 10990080 11018160 11722752 11752704 11796480 12165885 12976944 13025280 13058560 13221792 13271040 13893632 14599062 14653440 14690880 15630336 15670272 16221180 16527240 17302592 17367040 17584128 17629056 17694720 19465416 19537920 19587840 20840448 20893696 21233664 21628240 21898593 21980160 22036320 23445504 23505408 24331770 25953888 26020201 26050560 26117120 26443584 26542080 29198124 29306880 29381760 31260672 31340544 32442360 33054480 34605184 34734080 35168256 35258112 35389440 36497655 38930832 39075840 39175680 41680896 41787392 43256480 43797186 43960320 44072640 46891008 47010816 48663540 51907776 52040402 52101120 52234240 52887168 53084160 58396248 58613760 58763520 62521344 62681088 64884720 66108960 69210368 69468160 70336512 70516224 72995310 77861664 78060603 78151680 78351360 83574784 86512960 87594372 87920640 88145280 93782016 94021632 97327080 103815552 104080804 104202240 104468480 105774336 106168320 109492965 116792496 117227520 117527040 125042688 125362176 129769440 130101005 132217920 138420736 140673024 141032448 145990620 155723328 156121206 156303360 156702720 167149568 173025920 175188744 175841280 176290560 187564032 188043264 194654160 207631104 208161608 208404480 208936960 211548672 218985930 233584992 234181809 234455040 235054080 250724352 259538880 260202010 264435840 276841472 281346048 282064896 291981240 311446656 312242412 312606720 313405440 334299136 346051840 350377488 351682560 352581120 375128064 376086528 389308320 390303015 415262208 416323216 417873920 423097344 437971860 467169984 468363618 468910080 470108160 501448704 519077760 520404020 528871680 553682944 562692096 564129792 583962480 622893312 624484824 625213440 626810880 668598272 692103680 700754976 702545427 703365120 705162240 752173056 778616640 780606030 830524416 832646432 835747840 846194688 875943720 934339968 936727236 937820160 940216320 1002897408 1038155520 1040808040 1057743360 1107365888 1125384192 1128259584 1167924960 1170909045 1245786624 1248969648 1253621760 1337196544 1379070653 1384207360 1401509952 1405090854 1406730240 1410324480 1504346112 1557233280 1561212060 1661048832 1665292864 1671495680 1692389376 1751887440 1868679936 1873454472 1875640320 1880432640 2005794816 2076311040 2081616080 2107636281 2115486720 2214731776 2256519168 2335849920 2341818090 2491573248 2497939296 2507243520 2758141306 2768414720 2803019904 2810181708 2813460480 2820648960 3008692224 3114466560 3122424120 3322097664 3330585728 3342991360 3384778752 3503774880 3512727135 3737359872 3746908944 3760865280 4011589632 4137211959 4152622080 4163232160 4215272562 4230973440 4429463552 4513038336 4671699840 4683636180 4983146496 4995878592 5014487040 5516282612 5536829440 5606039808 5620363416 5626920960 5641297920 6017384448 6228933120 6244848240 6644195328 6661171456 6685982720 6769557504 6895353265 7007549760 7025454270 7474719744 7493817888 7521730560 8274423918 8305244160 8326464320 8430545124 8461946880 8858927104 9026076672 9343399680 9367272360 9966292992 9991757184 10028974080 10538181405 11032565224 11073658880 11212079616 11240726832 11282595840 12034768896 12411635877 12457866240 12489696480 13288390656 13322342912 13539115008 13790706530 14015099520 14050908540 14949439488 14987635776 15043461120 16548847836 16610488320 16652928640 16861090248 16923893760 17717854208 18052153344 18686799360 18734544720 19932585984 19983514368 20057948160 20686059795 21076362810 22065130448 22147317760 22424159232 22481453664 22565191680 24823271754 24915732480 24979392960 26576781312 26644685824 27078230016 27581413060 28030199040 28101817080 29898878976 29975271552 30086922240 33097695672 33220976640 33305857280 33722180496 33847787520 35435708416 36104306688 37234907631 37373598720 37469089440 39865171968 39967028736 41372119590 42152725620 44130260896 44294635520 44848318464 44962907328 45130383360 49646543508 49831464960 49958785920 53153562624 53289371648 54156460032 55162826120 56060398080 56203634160 59797757952 59950543104 60173844480 62058179385 66195391344 66441953280 66611714560 67444360992 67695575040 70871416832 74469815262 74747197440 74938178880 79730343936 79934057472 82744239180 84305451240 88260521792 88589271040 89696636928 89925814656 90260766720 99293087016 99662929920 99917571840 106307125248 106578743296 108312920064 110325652240 111704722893 112120796160 112407268320 119595515904 119901086208 124116358770 132390782688 132883906560 133223429120 134888721984 135391150080 148939630524 149494394880 149876357760 159460687872 159868114944 165488478360 168610902480 176521043584 177178542080 179393273856 179851629312 180521533440 186174538155 198586174032 199325859840 199835143680 212614250496 213157486592 220651304480 223409445786 224241592320 224814536640 239191031808 239802172416 248232717540 264781565376 265767813120 266446858240 269777443968 270782300160 297879261048 298988789760 299752715520 318921375744 319736229888 330976956720 337221804960 353042087168 354357084160 358786547712 359703258624 372349076310 397172348064 398651719680 399670287360 426314973184 441302608960 446818891572 448483184640 449629073280 478382063616 479604344832 496465435080 529563130752 531535626240 532893716480 539554887936 541564600320 558523614465 595758522096 597977579520 599505431040 637842751488 639472459776 661953913440 674443609920 706084174336 717573095424 719406517248 744698152620 794344696128 797303439360 799340574720 852629946368 882605217920 893637783144 896966369280 899258146560 956764127232 959208689664 992930870160 1059126261504 1063071252480 1065787432960 1079109775872 1117047228930 1191517044192 1195955159040 1199010862080 1278944919552 1323907826880 1348887219840 1412168348672 1435146190848 1438813034496 1489396305240 1588689392256 1594606878720 1598681149440 1705259892736 1765210435840 1787275566288 1793932738560 1798516293120 1913528254464 1918417379328 1985861740320 2118252523008 2131574865920 2158219551744 2234094457860 2383034088384 2391910318080 2398021724160 2557889839104 2647815653760 2697774439680 2824336697344 2870292381696 2877626068992 2978792610480 3177378784512 3189213757440 3197362298880 3410519785472 3530420871680 3574551132576 3587865477120 3597032586240 3836834758656 3971723480640 4236505046016 4263149731840 4316439103488 4468188915720 4766068176768 4783820636160 4796043448320 5115779678208 5295631307520 5395548879360 5648673394688 5740584763392 5755252137984 5957585220960 6354757569024 6394724597760 6821039570944 7060841743360 7149102265152 7175730954240 7194065172480 7673669517312 7943446961280 8473010092032 8526299463680 8632878206976 8936377831440 9532136353536 9567641272320 9592086896640 10231559356416 10591262615040 10791097758720 11297346789376 11510504275968 11915170441920 12709515138048 12789449195520 14121683486720 14298204530304 14351461908480 14388130344960 15347339034624 15886893922560 16946020184064 17052598927360 17265756413952 17872755662880 19064272707072 19184173793280 20463118712832 21182525230080 21582195517440 22594693578752 23021008551936 23830340883840 25419030276096 25578898391040 28243366973440 28596409060608 28702923816960 28776260689920 30694678069248 31773787845120 33892040368128 34105197854720 34531512827904 35745511325760 38128545414144 38368347586560 42365050460160 43164391034880 45189387157504 46042017103872 47660681767680 50838060552192 51157796782080 56486733946880 57192818121216 57552521379840 61389356138496 63547575690240 67784080736256 69063025655808 71491022651520 76257090828288 76736695173120 84730100920320 86328782069760 90378774315008 92084034207744 95321363535360 101676121104384 102315593564160 112973467893760 114385636242432 115105042759680 127095151380480 135568161472512 138126051311616 142982045303040 152514181656576 153473390346240 169460201840640 172657564139520 180757548630016 184168068415488 190642727070720 203352242208768 225946935787520 228771272484864 230210085519360 254190302760960 271136322945024 276252102623232 285964090606080 305028363313152 306946780692480 338920403681280 345315128279040 361515097260032 381285454141440 406704484417536 451893871575040 457542544969728 460420171038720 508380605521920 542272645890048 552504205246464 571928181212160 610056726626304 677840807362560 690630256558080 762570908282880 813408968835072 903787743150080 915085089939456 920840342077440 1016761211043840 1084545291780096 1143856362424320 1220113453252608 1355681614725120 1381260513116160 1525141816565760 1626817937670144 1807575486300160 1830170179878912 2033522422087680 2287712724848640 2440226906505216 2711363229450240 2762521026232320 3050283633131520 3253635875340288 3660340359757824 4067044844175360 4575425449697280 4880453813010432 5422726458900480 6100567266263040 7320680719515648 8134089688350720 9150850899394560 9760907626020864 12201134532526080 14641361439031296 16268179376701440 18301701798789120 24402269065052160 29282722878062592 36603403597578240 48804538130104320 73206807195156480 146413614390312960
- Sum of all divisors σ(n): 534927917843407044
- Sum of proper divisors (its aliquot sum) s(n): 388514303453094084
- 146413614390312960 is an abundant number, because the sum of its proper divisors (388514303453094084) is greater than itself. Its abundance is 242100689062781124
Bases of 146413614390312960
- Binary: 10000010000010101001101000000101000000010000000000000000002
- Hexadecimal: 0x2082A6814040000
- Base-36: 141NALW8HS00
Squares and roots of 146413614390312960
- 146413614390312960 squared (1464136143903129602) is 21436946478835258281619086743961600
- 146413614390312960 cubed (1464136143903129603) is 3138660815457962709151047273826169872754814222336000
-
The
square root of 146413614390312960 is 382640319.8701268073 -
The
cube root of 146413614390312960 is 527060.5213465305
Scales and comparisons
How big is 146413614390312960?- 146,413,614,390,312,960 seconds is equal to 4,655,500,050 years, 29 weeks, 3 days, 9 hours, 36 minutes.
-
To count from 1 to 146,413,614,390,312,960 would take you about thirteen billion, nine hundred sixty-six million, five hundred thousand, one 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 146413614390312960 cubic inches would be around 43921.7 feet tall.
Recreational maths with 146413614390312960
- 146413614390312960 backwards is 069213093416314641
- The number of decimal digits it has is: 18
- The sum of 146413614390312960's digits is 63
- More coming soon!
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"Number 146413614390312960 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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The information we have on file for 146413614390312960 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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