146180533842874368

Names of 146180533842874368

• Cardinal: 146180533842874368 can be written as One hundred forty-six quadrillion, one hundred eighty trillion, five hundred thirty-three billion, eight hundred forty-two million, eight hundred seventy-four thousand, three hundred sixty-eight.

Scientific notation

• Scientific notation: 1.46180533842874368 × 10¹⁷

Factors of 146180533842874368

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 143987

Divisors of 146180533842874368

• Number of divisors d(n): 832
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 41 48 54 58 64 72 82 87 96 108 116 123 128 144 164 174 192 216 232 246 256 261 288 328 348 369 384 432 464 492 512 522 576 656 696 738 768 783 864 928 984 1024 1044 1107 1152 1189 1312 1392 1476 1536 1566 1728 1856 1968 2048 2088 2214 2304 2378 2624 2784 2952 3072 3132 3456 3567 3712 3936 4096 4176 4428 4608 4756 5248 5568 5904 6144 6264 6912 7134 7424 7872 8191 8352 8856 9216 9512 10496 10701 11136 11808 12288 12528 13824 14268 14848 15744 16382 16704 17712 18432 19024 20992 21402 22272 23616 24573 25056 27648 28536 29696 31488 32103 32764 33408 35424 36864 38048 41984 42804 44544 47232 49146 50112 55296 57072 59392 62976 64206 65528 66816 70848 73719 76096 83968 85608 89088 94464 98292 100224 110592 114144 118784 125952 128412 131056 133632 135721 141696 147438 152192 167936 171216 178176 188928 196584 200448 221157 228288 237539 251904 256824 262112 267264 271442 283392 294876 304384 335831 342432 356352 377856 393168 400896 407163 442314 456576 475078 503808 513648 524224 534528 542884 566784 589752 608768 671662 684864 712617 755712 786336 801792 814326 884628 913152 950156 1007493 1027296 1048448 1069056 1085768 1133568 1179504 1217536 1221489 1343324 1369728 1425234 1511424 1572672 1603584 1628652 1769256 1826304 1900312 2014986 2054592 2096896 2137851 2171536 2267136 2359008 2435072 2442978 2686648 2739456 2850468 3022479 3145344 3207168 3257304 3538512 3652608 3664467 3800624 3935909 4029972 4109184 4193792 4275702 4343072 4534272 4718016 4870144 4885956 5373296 5478912 5564561 5700936 6044958 6290688 6413553 6514608 7077024 7305216 7328934 7601248 7871818 8059944 8218368 8387584 8551404 8686144 9067437 9436032 9739099 9771912 10746592 10957824 11129122 11401872 11807727 12089916 12581376 12827106 13029216 14154048 14610432 14657868 15202496 15743636 16119888 16436736 16693683 16775168 17102808 17372288 18134874 18872064 19478198 19543824 21493184 21915648 22258244 22803744 23615454 24179832 25162752 25654212 26058432 28308096 29217297 29315736 30404992 31487272 32239776 32873472 33387366 33550336 34205616 34744576 35423181 36269748 37744128 38956396 39087648 42986368 43831296 44516488 45607488 47230908 48359664 50081049 50325504 51308424 52116864 56616192 58434594 58631472 60809984 62974544 64479552 65746944 66774732 68411232 69489152 70846362 72539496 75488256 77912792 78175296 85972736 87651891 89032976 91214976 94461816 96719328 100162098 100651008 102616848 104233728 106269543 113232384 116869188 117262944 121619968 125949088 128959104 131493888 133549464 136822464 138978304 141692724 145078992 150243147 150976512 155825584 156350592 161372269 171945472 175303782 178065952 182429952 188923632 193438656 200324196 205233696 208467456 212539086 226464768 233738376 234525888 243239936 251898176 257918208 262955673 267098928 273644928 277956608 283385448 290157984 300486294 301953024 311651168 312701184 322744538 343890944 350607564 356131904 364859904 377847264 386877312 400648392 410467392 416934912 425078172 452929536 467476752 469051776 484116807 486479872 503796352 515836416 525911346 534197856 547289856 555913216 566770896 580315968 600972588 623302336 625402368 645489076 687781888 701215128 712263808 729719808 755694528 773754624 801296784 820934784 833869824 850156344 905859072 934953504 938103552 968233614 972959744 1007592704 1031672832 1051822692 1068395712 1094579712 1111690711 1133541792 1160631936 1201945176 1246604672 1250804736 1290978152 1375563776 1402430256 1424527616 1452350421 1459439616 1511389056 1547509248 1602593568 1641869568 1667739648 1700312688 1869907008 1876207104 1936467228 2015185408 2063345664 2103645384 2136791424 2189159424 2223381422 2267083584 2321263872 2403890352 2493209344 2501609472 2581956304 2804860512 2849055232 2904700842 2918879232 3022778112 3095018496 3205187136 3283739136 3335072133 3400625376 3739814016 3752414208 3872934456 4030370816 4126691328 4207290768 4273582848 4357051263 4378318848 4446762844 4534167168 4642527744 4807780704 4986418688 5003218944 5163912608 5609721024 5698110464 5809401684 6045556224 6190036992 6410374272 6567478272 6670144266 6801250752 7479628032 7504828416 7745868912 8060741632 8414581536 8547165696 8714102526 8756637696 8893525688 9068334336 9285055488 9615561408 9972837376 10005216399 10327825216 11219442048 11396220928 11618803368 12091112448 12380073984 12820748544 13134956544 13340288532 13602501504 14959256064 15009656832 15491737824 16121483264 16829163072 17094331392 17428205052 17787051376 18136668672 18570110976 19231122816 19945674752 20010432798 20655650432 22438884096 22792441856 23237606736 24182224896 25641497088 26269913088 26680577064 27205003008 29918512128 30015649197 30983475648 32239030619 33658326144 34188662784 34856410104 35574102752 36273337344 37140221952 38462245632 39891349504 40020865596 41311300864 44877768192 45579319151 46475213472 48364449792 51282994176 53361154128 54410006016 59837024256 60031298394 61966951296 64478061238 67316652288 68377325568 69712820208 71148205504 72546674688 76924491264 80041731192 82622601728 89755536384 91158638302 92950426944 96717091857 102565988352 106722308256 108820012032 119674048512 120062596788 123933902592 128956122476 134633304576 136737957453 139425640416 142296411008 145093349376 153848982528 160083462384 165245203456 179511072768 182317276604 185900853888 193434183714 205131976704 213444616512 217640024064 240125193576 247867805184 257912244952 269266609152 273475914906 278851280832 284592822016 290151275571 307697965056 320166924768 330490406912 359022145536 364634553208 371801707776 386868367428 410213872359 426889233024 435280048128 480250387152 495735610368 515824489904 538533218304 546951829812 557702561664 569185644032 580302551142 615395930112 640333849536 660980813824 729269106416 743603415552 773736734856 820427744718 853778466048 870453826713 960500774304 991471220736 1031648979808 1077066436608 1093903659624 1115405123328 1138371288064 1160605102284 1230641617077 1280667699072 1321800255379 1458538212832 1487206831104 1547473469712 1640855489436 1707556932096 1740907653426 1921001548608 1982942441472 2063297959616 2187807319248 2230810246656 2276742576128 2321210204568 2461283234154 2561335398144 2643600510758 2917076425664 2974413662208 3094946939424 3281710978872 3415113864192 3481815306852 3842003097216 3965400766137 4126595919232 4375614638496 4461620493312 4553485152256 4642420409136 4922566468308 5122670796288 5287201021516 5834152851328 5948827324416 6189893878848 6563421957744 6830227728384 6963630613704 7684006194432 7930801532274 8253191838464 8751229276992 8923240986624 9284840818272 9845132936616 10245341592576 10574402043032 11668305702656 11896202298411 12379787757696 13126843915488 13660455456768 13927261227408 15368012388864 15861603064548 16506383676928 17502458553984 17846481973248 18569681636544 19690265873232 20490683185152 21148804086064 23336611405312 23792404596822 24759575515392 26253687830976 27854522454816 30736024777728 31723206129096 33012767353856 35004917107968 35688606895233 37139363273088 39380531746464 40981366370304 42297608172128 46673222810624 47584809193644 49519151030784 52507375661952 55709044909632 61472049555456 63446412258192 66025534707712 70009834215936 71377213790466 74278726546176 78761063492928 84595216344256 93346445621248 95169618387288 99038302061568 105014751323904 111418089819264 122944099110912 126892824516384 132051069415424 140019668431872 142754427580932 148557453092352 157522126985856 169190432688512 186692891242496 190339236774576 198076604123136 210029502647808 222836179638528 253785649032768 280039336863744 285508855161864 297114906184704 315044253971712 338380865377024 380678473549152 396153208246272 420059005295616 445672359277056 507571298065536 560078673727488 571017710323728 594229812369408 630088507943424 676761730754048 761356947098304 840118010591232 891344718554112 1015142596131072 1142035420647456 1188459624738816 1260177015886848 1353523461508096 1522713894196608 1680236021182464 1782689437108224 2030285192262144 2284070841294912 2520354031773696 2707046923016192 3045427788393216 3565378874216448 4060570384524288 4568141682589824 5040708063547392 5414093846032384 6090855576786432 8121140769048576 9136283365179648 12181711153572864 16242281538097152 18272566730359296 24363422307145728 36545133460718592 48726844614291456 73090266921437184 146180533842874368
• Sum of all divisors σ(n): 458994685221273600
• Sum of proper divisors (its aliquot sum) s(n): 312814151378399232
• 146180533842874368 is an abundant number, because the sum of its proper divisors (312814151378399232) is greater than itself. Its abundance is 166633617535524864

Bases of 146180533842874368

• Binary: 1000000111010101100110101111001000110010000001000000000000₂
• Hexadecimal: 0x207566BC8C81000
• Base-36: 13ZCOA64IDC0

Squares and roots of 146180533842874368

• 146180533842874368 squared (146180533842874368²) is 21368748474587738442993488231399424
• 146180533842874368 cubed (146180533842874368³) is 3123695059569342926330482325882635557369219259564032
• The square root of 146180533842874368 is 382335629.8370246947
• The cube root of 146180533842874368 is 526780.6912651523

Scales and comparisons

• 146,180,533,842,874,368 seconds is equal to 4,648,088,810 years, 6 weeks, 3 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 146,180,533,842,874,368 would take you about thirteen billion, nine hundred forty-four million, two hundred sixty-six thousand, four hundred thirty 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 146180533842874368 cubic inches would be around 43898.4 feet tall.

Recreational maths with 146180533842874368

• 146180533842874368 backwards is 863478248335081641
• The number of decimal digits it has is: 18
• The sum of 146180533842874368's digits is 81
• More coming soon!