46238855814144

Names of 46238855814144

• Cardinal: 46238855814144 can be written as Forty-six trillion, two hundred thirty-eight billion, eight hundred fifty-five million, eight hundred fourteen thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 4.6238855814144 × 10¹³

Factors of 46238855814144

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 17434

Divisors of 46238855814144

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 49 56 58 63 64 72 84 87 96 98 112 116 126 128 144 147 168 174 192 196 203 224 232 252 256 261 288 294 336 343 348 384 392 406 441 448 464 504 512 522 576 588 609 672 686 696 768 784 812 841 882 896 928 1008 1024 1029 1044 1152 1176 1218 1344 1372 1392 1421 1536 1568 1624 1682 1764 1792 1827 1856 2016 2058 2088 2304 2352 2436 2523 2688 2744 2784 2842 3072 3087 3136 3248 3364 3528 3584 3654 3712 4032 4116 4176 4263 4608 4704 4872 5046 5376 5488 5568 5684 5887 6174 6272 6496 6728 7056 7168 7308 7424 7569 8064 8232 8352 8526 9216 9408 9744 9947 10092 10752 10976 11136 11368 11774 12348 12544 12789 12992 13456 14112 14616 14848 15138 16128 16464 16704 17052 17393 17661 18816 19488 19894 20184 21504 21952 22272 22736 23548 24696 25088 25578 25984 26912 28224 29232 29696 29841 30276 32256 32928 33408 34104 34786 35322 37632 38976 39788 40368 41209 43904 44544 45472 47096 49392 50176 51156 51968 52179 52983 53824 56448 58464 59682 60552 64512 65856 66816 68208 69572 70644 75264 77952 79576 80736 82418 87808 89088 89523 90944 94192 98784 102312 103936 104358 105966 107648 112896 116928 119364 121104 121751 123627 131712 133632 136416 139144 141288 150528 155904 156537 159152 161472 164836 175616 179046 181888 188384 197568 204624 207872 208716 211932 215296 225792 233856 238728 242208 243502 247254 263424 267264 272832 278288 282576 288463 311808 313074 318304 322944 329672 351232 358092 363776 365253 370881 376768 395136 409248 417432 423864 430592 451584 467712 477456 484416 487004 494508 504397 526848 545664 556576 565152 576926 623616 626148 636608 645888 659344 716184 727552 730506 741762 753536 790272 818496 834864 847728 852257 861184 865389 935424 954912 968832 974008 989016 1008794 1053696 1091328 1095759 1113152 1130304 1153852 1252296 1273216 1291776 1318688 1432368 1455104 1461012 1483524 1507072 1513191 1580544 1636992 1669728 1695456 1704514 1730778 1870848 1909824 1937664 1948016 1978032 2017588 2182656 2191518 2226304 2260608 2307704 2504592 2546432 2556771 2583552 2596167 2637376 2864736 2922024 2967048 3014144 3026382 3161088 3273984 3339456 3390912 3409028 3461556 3530779 3819648 3875328 3896032 3956064 4035176 4365312 4383036 4452608 4521216 4539573 4615408 5009184 5092864 5113542 5192334 5274752 5729472 5844048 5934096 5965799 6028288 6052764 6547968 6678912 6781824 6818056 6923112 7061558 7639296 7670313 7750656 7792064 7912128 8070352 8766072 8905216 9042432 9079146 9230816 10018368 10185728 10227084 10384668 10549504 10592337 11458944 11688096 11868192 11931598 12105528 13095936 13357824 13563648 13636112 13846224 14123116 14627513 15278592 15340626 15584128 15824256 16140704 17532144 17810432 17897397 18084864 18158292 18461632 20036736 20454168 20769336 21099008 21184674 22917888 23376192 23736384 23863196 24211056 24715453 26715648 27127296 27272224 27692448 28246232 29255026 30557184 30681252 31168256 31648512 31777011 32281408 35064288 35794794 36316584 36923264 40073472 40908336 41538672 42198016 42369348 43882539 45835776 46752384 47472768 47726392 48422112 49430906 53431296 53692191 54254592 54544448 55384896 56492464 58510052 61362504 62336512 63297024 63554022 64562816 70128576 71589588 72633168 73846528 74146359 80146944 81816672 83077344 84738696 87765078 91671552 93504768 94945536 95452784 96844224 98861812 102392591 107384382 109088896 110769792 112984928 117020104 122725008 124673024 126594048 127108044 129125632 131647617 140257152 143179176 145266336 147693056 148292718 160293888 163633344 166154688 169477392 173008171 175530156 187009536 189891072 190905568 193688448 197723624 204785182 214768764 218177792 221539584 222439077 225969856 234040208 245450016 254216088 258251264 263295234 280514304 286358352 290532672 295386112 296585436 307177773 327266688 332309376 338954784 346016342 351060312 374019072 379782144 381811136 387376896 395447248 409570364 429537528 436355584 443079168 444878154 451939712 468080416 490900032 508432176 516502528 519024513 526590468 561028608 572716704 581065344 593170872 614355546 654533376 664618752 677909568 692032684 702120624 716748137 763622272 774753792 790894496 819140728 859075056 872711168 886158336 889756308 903879424 921533319 936160832 981800064 1016864352 1038049026 1053180936 1122057216 1145433408 1162130688 1186341744 1228711092 1309066752 1329237504 1355819136 1384065368 1404241248 1433496274 1527244544 1549507584 1557073539 1581788992 1638281456 1718150112 1779512616 1807758848 1843066638 1872321664 1963600128 2033728704 2076098052 2106361872 2150244411 2290866816 2324261376 2372683488 2457422184 2618133504 2658475008 2711638272 2768130736 2808482496 2866992548 3054489088 3114147078 3163577984 3276562912 3436300224 3559025232 3615517696 3686133276 3744643328 3927200256 4067457408 4152196104 4212723744 4300488822 4581733632 4648522752 4745366976 4914844368 5017236959 5423276544 5536261472 5616964992 5733985096 6108978176 6228294156 6327155968 6450733233 6553125824 6872600448 7118050464 7372266552 7489286656 7854400512 8134914816 8304392208 8425447488 8600977644 9163467264 9490733952 9829688736 10034473918 10846553088 11072522944 11233929984 11467970192 12456588312 12654311936 12901466466 13106251648 13745200896 14236100928 14744533104 14978573312 15051710877 16269829632 16608784416 16850894976 17201955288 18326934528 18981467904 19659377472 20068947836 22145045888 22467859968 22935940384 24913176624 25308623872 25802932932 26212503296 27490401792 28472201856 29489066208 30103421754 32539659264 33217568832 33701789952 34403910576 37962935808 39318754944 40137895672 44290091776 44935719936 45155132631 45871880768 49826353248 51605865864 52425006592 54980803584 56944403712 58978132416 60206843508 66435137664 67403579904 68807821152 75925871616 78637509888 80275791344 88580183552 90310265262 91743761536 99652706496 103211731728 104850013184 113888807424 117956264832 120413687016 132870275328 134807159808 137615642304 157275019776 160551582688 177160367104 180620530524 183487523072 199305412992 206423463456 227777614848 235912529664 240827374032 265740550656 275231284608 314550039552 321103165376 361241061048 366975046144 398610825984 412846926912 471825059328 481654748064 531481101312 550462569216 642206330752 722482122096 733950092288 797221651968 825693853824 943650118656 963309496128 1100925138432 1284412661504 1444964244192 1594443303936 1651387707648 1926618992256 2201850276864 2568825323008 2889928488384 3302775415296 3853237984512 5137650646016 5779856976768 6605550830592 7706475969024 11559713953536 15412951938048 23119427907072 46238855814144
• Sum of all divisors σ(n): 161264512125600
• Sum of proper divisors (its aliquot sum) s(n): 115025656311456
• 46238855814144 is an abundant number, because the sum of its proper divisors (115025656311456) is greater than itself. Its abundance is 68786800497312

Bases of 46238855814144

• Binary: 1010100000110111010010100100110101110000000000₂
• Hexadecimal: 0x2A0DD2935C00
• Base-36: GE1U4WE80

Squares and roots of 46238855814144

• 46238855814144 squared (46238855814144²) is 2138031787001198393070452736
• 46238855814144 cubed (46238855814144³) is 98860143525205048519721333372207952297984
• The square root of 46238855814144 is 6799915.8681666053
• The cube root of 46238855814144 is 35892.3884759205

Scales and comparisons

• 46,238,855,814,144 seconds is equal to 1,470,252 years, 30 weeks, 4 days, 7 hours, 2 minutes, 24 seconds.
• To count from 1 to 46,238,855,814,144 would take you about three million, six hundred seventy-five thousand, six hundred thirty-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 46238855814144 cubic inches would be around 2991 feet tall.

Recreational maths with 46238855814144

• 46238855814144 backwards is 44141855883264
• 46238855814144 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 46238855814144's digits is 63
• More coming soon!