214122907435008

Names of 214122907435008

• Cardinal: 214122907435008 can be written as Two hundred fourteen trillion, one hundred twenty-two billion, nine hundred seven million, four hundred thirty-five thousand and eight.

Scientific notation

• Scientific notation: 2.14122907435008 × 10¹⁴

Factors of 214122907435008

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 2890

Divisors of 214122907435008

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 121 128 132 143 156 176 192 208 242 256 264 286 312 352 363 384 416 429 484 512 528 572 624 704 726 768 832 858 968 1024 1056 1144 1248 1331 1408 1452 1536 1573 1664 1716 1936 2048 2112 2288 2496 2662 2816 2861 2904 3072 3146 3328 3432 3872 3993 4096 4224 4576 4719 4992 5324 5632 5722 5808 6144 6292 6656 6864 7744 7986 8192 8448 8583 9152 9438 9984 10648 11264 11444 11616 12288 12584 13312 13728 14641 15488 15972 16384 16896 17166 17303 18304 18876 19968 21296 22528 22888 23232 24576 25168 26624 27456 29282 30976 31471 31944 32768 33792 34332 34606 36608 37193 37752 39936 42592 43923 45056 45776 46464 49152 50336 51909 53248 54912 58564 61952 62942 63888 65536 67584 68664 69212 73216 74386 75504 79872 85184 87846 90112 91552 92928 94413 98304 100672 103818 106496 109824 111579 117128 123904 125884 127776 131072 135168 137328 138424 146432 148772 151008 159744 170368 175692 180224 183104 185856 188826 190333 196608 201344 207636 212992 219648 223158 234256 247808 251768 255552 270336 274656 276848 292864 297544 302016 319488 340736 346181 351384 360448 366208 371712 377652 380666 393216 402688 409123 415272 425984 439296 446316 468512 495616 503536 511104 540672 549312 553696 570999 585728 595088 604032 638976 681472 692362 702768 720896 732416 743424 755304 761332 805376 818246 830544 851968 878592 892632 937024 991232 1007072 1022208 1038543 1081344 1098624 1107392 1141998 1171456 1190176 1208064 1227369 1277952 1362944 1384724 1405536 1441792 1464832 1486848 1510608 1522664 1610752 1636492 1661088 1703936 1757184 1785264 1874048 1982464 2014144 2044416 2077086 2162688 2197248 2214784 2283996 2342912 2380352 2416128 2454738 2555904 2725888 2769448 2811072 2929664 2973696 3021216 3045328 3221504 3272984 3322176 3514368 3570528 3748096 3807991 3964928 4028288 4088832 4154172 4325376 4394496 4429568 4500353 4567992 4685824 4760704 4832256 4909476 5111808 5451776 5538896 5622144 5859328 5947392 6042432 6090656 6443008 6545968 6644352 7028736 7141056 7496192 7615982 7929856 8056576 8177664 8308344 8788992 8859136 9000706 9135984 9371648 9521408 9664512 9818952 10903552 11077792 11244288 11423973 11718656 11894784 12084864 12181312 12886016 13091936 13288704 13501059 14057472 14282112 14992384 15231964 15859712 16113152 16355328 16616688 17577984 17718272 18001412 18271968 18743296 19042816 19329024 19637904 21807104 22155584 22488576 22847946 23437312 23789568 24169728 24362624 25772032 26183872 26577408 27002118 28114944 28564224 29984768 30463928 32226304 32710656 33233376 35155968 35436544 36002824 36543936 38085632 38658048 39275808 41887901 43614208 44311168 44977152 45695892 46874624 47579136 48339456 48725248 49503883 51544064 52367744 53154816 54004236 56229888 57128448 59969536 60927856 64452608 65421312 66466752 70311936 70873088 72005648 73087872 76171264 77316096 78551616 83775802 87228416 88622336 89954304 91391784 93749248 96678912 97450496 99007766 103088128 104735488 106309632 108008472 114256896 119939072 121855712 125663703 128905216 130842624 132933504 140623872 141746176 144011296 146175744 148511649 152342528 154632192 157103232 167551604 174456832 177244672 179908608 182783568 187498496 193357824 194900992 198015532 206176256 209470976 212619264 216016944 228513792 239878144 243711424 251327406 257810432 261685248 265867008 281247744 283492352 288022592 292351488 297023298 304685056 309264384 314206464 335103208 354489344 359817216 365567136 374996992 386715648 389801984 396031064 418941952 425238528 432033888 457027584 479756288 487422848 502654812 515620864 523370496 531734016 544542713 562495488 566984704 576045184 584702976 594046596 609370112 618528768 628412928 670206416 708978688 719634432 731134272 773431296 779603968 792062128 837883904 850477056 864067776 914055168 959512576 974845696 1005309624 1031241728 1063468032 1089085426 1124990976 1133969408 1152090368 1169405952 1188093192 1218740224 1256825856 1340412832 1417957376 1439268864 1462268544 1546862592 1559207936 1584124256 1633628139 1675767808 1700954112 1728135552 1828110336 1919025152 1949691392 2010619248 2062483456 2126936064 2178170852 2267938816 2304180736 2338811904 2376186384 2437480448 2513651712 2680825664 2835914752 2878537728 2924537088 3093725184 3118415872 3168248512 3267256278 3351535616 3401908224 3456271104 3656220672 3899382784 4021238496 4124966912 4253872128 4356341704 4608361472 4677623808 4752372768 4874960896 5027303424 5361651328 5671829504 5757075456 5849074176 6187450368 6236831744 6336497024 6534512556 6703071232 6803816448 6912542208 7312441344 7798765568 8042476992 8507744256 8712683408 9216722944 9355247616 9504745536 10054606848 10723302656 11343659008 11698148352 12374900736 12473663488 12672994048 13069025112 13406142464 13825084416 14624882688 15597531136 16084953984 17015488512 17425366816 18433445888 18710495232 19009491072 20109213696 21446605312 22687318016 23396296704 24947326976 25345988096 26138050224 26812284928 27650168832 31195062272 32169907968 34030977024 34850733632 36866891776 37420990464 38018982144 40218427392 42893210624 45374636032 46792593408 50691976192 52276100448 53624569856 55300337664 62390124544 64339815936 68061954048 69701467264 73733783552 74841980928 76037964288 80436854784 85786421248 93585186816 101383952384 104552200896 110600675328 124780249088 128679631872 136123908096 139402934528 147467567104 152075928576 160873709568 171572842496 187170373632 202767904768 209104401792 221201350656 249560498176 257359263744 278805869056 294935134208 304151857152 343145684992 374340747264 405535809536 418208803584 442402701312 499120996352 514718527488 557611738112 589870268416 608303714304 686291369984 748681494528 811071619072 836417607168 884805402624 1029437054976 1115223476224 1216607428608 1372582739968 1497362989056 1622143238144 1672835214336 1769610805248 2058874109952 2230446952448 2433214857216 2745165479936 3244286476288 3345670428672 4117748219904 4460893904896 4866429714432 5490330959872 6488572952576 6691340857344 8235496439808 8921787809792 9732859428864 13382681714688 16470992879616 17843575619584 19465718857728 26765363429376 35687151239168 53530726858752 71374302478336 107061453717504 214122907435008
• Sum of all divisors σ(n): 676638415540080
• Sum of proper divisors (its aliquot sum) s(n): 462515508105072
• 214122907435008 is an abundant number, because the sum of its proper divisors (462515508105072) is greater than itself. Its abundance is 248392600670064

Bases of 214122907435008

• Binary: 110000101011111001011111110101100000000000000000₂
• Hexadecimal: 0xC2BE5FD60000
• Base-36: 23WEPELHXC

Squares and roots of 214122907435008

• 214122907435008 squared (214122907435008²) is 45848619488421004245743960064
• 214122907435008 cubed (214122907435008³) is 9817239706742074535377083321528174627520512
• The square root of 214122907435008 is 14632939.1249676153
• The cube root of 214122907435008 is 59825.6892191307

Scales and comparisons

• 214,122,907,435,008 seconds is equal to 6,808,446 years, 6 weeks, 5 days, 14 hours, 36 minutes, 48 seconds.
• To count from 1 to 214,122,907,435,008 would take you about seventeen million, twenty-one thousand, one hundred fifteen 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 214122907435008 cubic inches would be around 4985.5 feet tall.

Recreational maths with 214122907435008

• 214122907435008 backwards is 800534709221412
• 214122907435008 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 214122907435008's digits is 48
• More coming soon!