144338351446016

Names of 144338351446016

• Cardinal: 144338351446016 can be written as One hundred forty-four trillion, three hundred thirty-eight billion, three hundred fifty-one million, four hundred forty-six thousand and sixteen.

Scientific notation

• Scientific notation: 1.44338351446016 × 10¹⁴

Factors of 144338351446016

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2374

Divisors of 144338351446016

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 7 8 13 14 16 19 26 28 32 37 38 52 56 64 74 76 91 104 112 128 133 148 152 182 208 224 247 256 259 266 296 304 364 416 448 481 494 512 518 532 592 608 683 703 728 832 896 962 988 1024 1036 1064 1184 1216 1366 1406 1456 1613 1664 1729 1792 1924 1976 2048 2072 2128 2368 2432 2732 2812 2912 3226 3328 3367 3458 3584 3848 3952 4144 4256 4736 4781 4864 4921 5464 5624 5824 6452 6656 6734 6916 7168 7696 7904 8288 8512 8879 9139 9472 9562 9728 9842 10928 11248 11291 11648 12904 12977 13312 13468 13832 14336 15392 15808 16576 17024 17758 18278 18944 19124 19456 19684 20969 21856 22496 22582 23296 25271 25808 25954 26624 26936 27664 30647 30784 31616 33152 34048 35516 36556 37888 38248 38912 39368 41938 43712 44992 45164 46592 50542 51616 51908 53872 55328 59681 61294 61568 62153 63232 63973 66304 68096 71032 73112 75776 76496 78736 83876 87424 89984 90328 90839 93184 101084 103232 103816 107744 110656 119362 122588 123136 124306 126464 127946 132608 136192 142064 146224 146783 152992 157472 167752 168701 174848 176897 179968 180656 181678 186368 202168 206464 207632 214529 215488 221312 238724 245176 246272 248612 252928 255892 265216 272384 284128 292448 293566 305984 314944 328523 335504 337402 349696 353794 359936 361312 363356 398411 404336 412928 415264 417767 429058 430976 442624 477448 480149 490352 492544 497224 505856 511784 530432 568256 584896 587132 611968 629888 657046 671008 674804 699392 707588 719872 722624 726712 775853 796822 808672 825856 830528 835534 858116 861952 885248 954896 960298 980704 985088 994448 1023568 1101679 1133939 1136512 1169792 1174264 1180907 1223936 1259776 1314092 1342016 1349608 1398784 1415176 1439744 1445248 1453424 1551706 1593644 1617344 1651712 1661056 1671068 1716232 1723904 1770496 1909792 1920596 1961408 1988896 2047136 2203358 2267878 2273024 2299661 2339584 2348528 2361814 2447872 2519552 2628184 2684032 2699216 2788877 2830352 2890496 2906848 3103412 3187288 3234688 3303424 3322112 3342136 3361043 3432464 3447808 3540992 3819584 3841192 3922816 3977792 4094272 4406716 4535756 4546048 4599322 4679168 4697056 4723628 4895744 5039104 5256368 5368064 5398432 5430971 5577754 5660704 5780992 5813696 6206824 6241937 6374576 6469376 6644224 6684272 6722086 6864928 6895616 7639168 7682384 7711753 7845632 7937573 7955584 8188544 8813432 9071512 9092096 9198644 9358336 9394112 9447256 9791488 10078208 10512736 10736128 10796864 10861942 11155508 11321408 11561984 11627392 12413648 12483874 12749152 12938752 13288448 13368544 13444172 13729856 14321827 14741207 15278336 15364768 15423506 15691264 15875146 15911168 16377088 17626864 18143024 18184192 18397288 18716672 18788224 18894512 20931901 21025472 21472256 21593728 21723884 22311016 22642816 23123968 23254784 24827296 24967748 25498304 25877504 26576896 26737088 26888344 27459712 28643654 29482414 30556672 30729536 30847012 31382528 31750292 31822336 32754176 35253728 36286048 36794576 37576448 37789024 40762123 41863802 42050944 42944512 43187456 43447768 43693559 44622032 45285632 46509568 49654592 49935496 50996608 51755008 53474176 53776688 54919424 57287308 58964828 61113344 61459072 61694024 62765056 63500584 63644672 65508352 70507456 72572096 73589152 75152896 75578048 81524246 83727604 84101888 86374912 86895536 87387118 89244064 90571264 93019136 99309184 99870992 100252789 101993216 103188449 106948352 107553376 109838848 114574616 117929656 122226688 122918144 123388048 127001168 127289344 131016704 141014912 145144192 146523307 147178304 150305792 151156096 163048492 167455208 168203776 172749824 173791072 174774236 178488128 181142528 186038272 198618368 199741984 200505578 203986432 206376898 213896704 215106752 219677696 229149232 235859312 245836288 246776096 254002336 272114713 282029824 285334861 290288384 293046614 294356608 300611584 302312192 326096984 334910416 336407552 345499648 347582144 349548472 356976256 362285056 397236736 399483968 401011156 407972864 412753796 427793408 430213504 439355392 458298464 471718624 491672576 493552192 508004672 529907599 544229426 564059648 570669722 580576768 586093228 588713216 604624384 652193968 669820832 672815104 695164288 699096944 713952512 774480337 794473472 798967936 802022312 815945728 825507592 855586816 860427008 916596928 943437248 983345152 987104384 1016009344 1059815198 1088458852 1128119296 1141339444 1161153536 1172186456 1177426432 1209248768 1304387936 1339641664 1390328576 1398193888 1427905024 1548960674 1588946944 1597935872 1604044624 1651015184 1720854016 1833193856 1886874496 1904802991 1974208768 2032018688 2119630396 2176917704 2256238592 2282678888 2322307072 2344372912 2354852864 2418497536 2608775872 2679283328 2780657152 2796387776 2855810048 3097921348 3195871744 3208089248 3302030368 3441708032 3666387712 3709353193 3773748992 3809605982 3948417536 4064037376 4239260792 4353835408 4565357776 4688745824 4709705728 5217551744 5358566656 5421362359 5561314304 5592775552 5711620096 6195842696 6391743488 6416178496 6604060736 6883416064 7332775424 7418706386 7547497984 7619211964 7896835072 8128074752 8478521584 8707670816 9130715552 9377491648 10068244381 10435103488 10717133312 10842724718 11122628608 11185551104 12391685392 12783486976 12832356992 13208121472 14665550848 14837412772 15094995968 15238423928 15793670144 16256149504 16957043168 17415341632 18261431104 18754983296 20136488762 20870206976 21434266624 21685449436 22371102208 24783370784 25664713984 26416242944 29331101696 29674825544 30189991936 30476847856 33914086336 34830683264 36522862208 37509966592 40272977524 41740413952 42868533248 43370898872 44742204416 49566741568 51329427968 52832485888 59349651088 60953695712 67828172672 69661366528 70477710667 73045724416 75019933184 80545955048 83480827904 86741797744 89484408832 99133483136 102658855936 105664971776 118699302176 121907391424 135656345344 139322733056 140955421334 146091448832 150039866368 161091910096 173483595488 198266966272 205317711872 211329943552 237398604352 243814782848 271312690688 278645466112 281910842668 292182897664 300079732736 322183820192 346967190976 396533932544 474797208704 487629565696 542625381376 557290932224 563821685336 584365795328 644367640384 693934381952 793067865088 949594417408 975259131392 1085250762752 1127643370672 1288735280768 1387868763904 1586135730176 1899188834816 1950518262784 2255286741344 2577470561536 2775737527808 3798377669632 3901036525568 4510573482688 5154941123072 5551475055616 7596755339264 9021146965376 10309882246144 11102950111232 18042293930752 20619764492288 36084587861504 72169175723008 144338351446016
• Sum of all divisors σ(n): 384808940006400
• Sum of proper divisors (its aliquot sum) s(n): 240470588560384
• 144338351446016 is an abundant number, because the sum of its proper divisors (240470588560384) is greater than itself. Its abundance is 96132237114368

Bases of 144338351446016

• Binary: 100000110100011001100100001010100101100000000000₂
• Hexadecimal: 0x8346642A5800
• Base-36: 1F5W4FQTQ8

Squares and roots of 144338351446016

• 144338351446016 squared (144338351446016²) is 20833559698153629118162272256
• 144338351446016 cubed (144338351446016³) is 3007081661583653533912815572610353878532096
• The square root of 144338351446016 is 12014089.7052592379
• The cube root of 144338351446016 is 52455.8481637495

Scales and comparisons

• 144,338,351,446,016 seconds is equal to 4,589,513 years, 5 weeks, 4 days, 8 hours, 46 minutes, 56 seconds.
• To count from 1 to 144,338,351,446,016 would take you about eleven million, four hundred seventy-three thousand, seven 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 144338351446016 cubic inches would be around 4371.3 feet tall.

Recreational maths with 144338351446016

• 144338351446016 backwards is 610644153833441
• The number of decimal digits it has is: 15
• The sum of 144338351446016's digits is 53
• More coming soon!