144848978706432

Names of 144848978706432

• Cardinal: 144848978706432 can be written as One hundred forty-four trillion, eight hundred forty-eight billion, nine hundred seventy-eight million, seven hundred six thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 1.44848978706432 × 10¹⁴

Factors of 144848978706432

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 5046

Divisors of 144848978706432

• Number of divisors d(n): 1216
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 37 39 42 44 48 52 56 64 66 74 77 78 84 88 91 96 104 111 112 128 132 143 148 154 156 168 176 182 192 208 222 224 231 256 259 264 273 286 296 308 312 336 352 364 384 407 416 429 444 448 462 481 512 518 528 546 572 592 616 624 672 704 728 768 777 814 832 858 888 896 924 962 1001 1024 1036 1056 1092 1144 1184 1221 1232 1248 1344 1408 1443 1456 1536 1554 1628 1664 1716 1776 1792 1848 1924 2002 2048 2072 2112 2184 2288 2368 2442 2464 2496 2688 2816 2849 2886 2912 3003 3072 3108 3256 3328 3367 3432 3552 3584 3696 3848 4004 4096 4144 4224 4368 4576 4736 4884 4928 4973 4992 5291 5376 5632 5698 5772 5824 6006 6144 6216 6512 6656 6734 6864 7104 7168 7392 7696 8008 8192 8288 8448 8547 8736 9152 9472 9768 9856 9946 9984 10101 10582 10752 11264 11396 11544 11648 12012 12288 12432 13024 13312 13468 13728 14208 14336 14784 14919 15392 15873 16016 16384 16576 16896 17094 17472 18304 18944 19536 19712 19892 19968 20202 21164 21504 22528 22792 23088 23296 24024 24576 24864 26048 26624 26936 27456 28416 28672 29568 29838 30784 31746 32032 32768 33152 33792 34188 34811 34944 36608 37037 37888 39072 39424 39784 39936 40404 42328 43008 45056 45584 46176 46592 48048 49152 49728 52096 53248 53872 54703 54912 56832 57344 59136 59676 61568 63492 64064 64649 65536 66304 67584 68376 69622 69888 73216 74074 75776 78144 78848 79568 79872 80808 84656 86016 90112 91168 92352 93184 96096 98304 99456 104192 104433 106496 107744 109406 109824 111111 113664 114688 118272 119352 123136 126984 128128 129298 131072 132608 135168 136752 139244 139776 146432 148148 151552 156288 157696 159136 159744 161616 164109 169312 172032 180224 182336 184001 184704 186368 192192 193947 196608 198912 208384 208866 212992 215488 218812 219648 222222 227328 229376 236544 238704 246272 253968 256256 258596 262144 265216 270336 273504 278488 279552 292864 296296 303104 312576 315392 318272 319488 323232 328218 338624 344064 360448 364672 368002 369408 372736 382921 384384 387894 393216 397824 416768 417732 425984 430976 437624 439296 444444 452543 454656 458752 473088 477408 492544 507936 512512 517192 530432 540672 547008 552003 556976 559104 585728 592592 606208 625152 630784 636544 638976 646464 656436 677248 688128 711139 720896 729344 736004 738816 745472 765842 768768 775788 786432 795648 833536 835464 851968 861952 875248 878592 888888 905086 909312 917504 946176 954816 985088 1015872 1025024 1034384 1060864 1081344 1094016 1104006 1113952 1118208 1148763 1171456 1185184 1212416 1250304 1261568 1273088 1277952 1288007 1292928 1312872 1354496 1357629 1376256 1422278 1441792 1458688 1472008 1477632 1490944 1531684 1537536 1551576 1591296 1667072 1670928 1703936 1723904 1750496 1757184 1777776 1810172 1818624 1835008 1892352 1909632 1970176 2024011 2031744 2050048 2068768 2121728 2133417 2162688 2188032 2208012 2227904 2236416 2297526 2342912 2370368 2392013 2424832 2500608 2523136 2546176 2555904 2576014 2585856 2625744 2708992 2715258 2752512 2844556 2883584 2917376 2944016 2955264 2981888 3063368 3075072 3103152 3182592 3334144 3341856 3407872 3447808 3500992 3514368 3555552 3620344 3637248 3784704 3819264 3864021 3940352 4048022 4063488 4100096 4137536 4243456 4266834 4325376 4376064 4416024 4455808 4472832 4595052 4685824 4740736 4784026 4849664 4977973 5001216 5046272 5092352 5111808 5152028 5171712 5251488 5417984 5430516 5505024 5689112 5834752 5888032 5910528 5963776 6072033 6126736 6150144 6206304 6365184 6668288 6683712 6895616 7001984 7028736 7111104 7176039 7240688 7274496 7569408 7638528 7728042 7880704 8096044 8126976 8200192 8275072 8486912 8533668 8650752 8752128 8832048 8911616 8945664 9190104 9371648 9481472 9568052 9699328 9955946 10002432 10092544 10184704 10223616 10304056 10343424 10502976 10835968 10861032 11378224 11669504 11776064 11821056 11927552 12144066 12253472 12300288 12412608 12730368 13336576 13367424 13791232 14003968 14057472 14168077 14222208 14352078 14481376 14548992 14933919 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10881083136 11121696768 11651301376 11787840064 12058689536 12435523584 12547555328 12710510592 12859461888 13471817216 13688242176 14340063232 14508110848 14563540992 14696527872 14828929024 15292333056 15827030016 16580698112 16947347456 17145949184 17476952064 17681760096 18088034304 18821332992 19595370496 20207725824 20389777408 21102706688 21510094848 21762166272 22243393536 23302602752 23575680128 24117379072 24871047168 25095110656 25421021184 25718923776 26943634432 27376484352 29016221696 29127081984 29393055744 29657858048 30584666112 31654060032 33161396224 34291898368 34953904128 35363520192 36176068608 37642665984 39190740992 40415451648 40779554816 42205413376 43020189696 43524332544 44486787072 46605205504 47151360256 48234758144 49742094336 50190221312 50842042368 51437847552 53887268864 58032443392 58786111488 59315716096 61169332224 63308120064 66322792448 68583796736 69907808256 70727040384 72352137216 75285331968 78381481984 80830903296 81559109632 84410826752 87048665088 88973574144 93210411008 94302720512 99484188672 100380442624 102875695104 107774537728 116064886784 117572222976 118631432192 122338664448 126616240128 132645584896 137167593472 139815616512 141454080768 144704274432 150570663936 156762963968 161661806592 163118219264 168821653504 174097330176 177947148288 186420822016 188605441024 198968377344 205751390208 215549075456 232129773568 235144445952 244677328896 253232480256 265291169792 274335186944 279631233024 282908161536 301141327872 313525927936 323323613184 326236438528 337643307008 348194660352 355894296576 377210882048 397936754688 411502780416 431098150912 464259547136 470288891904 489354657792 506464960512 530582339584 548670373888 559262466048 565816323072 627051855872 646647226368 652472877056 696389320704 754421764096 795873509376 823005560832 862196301824 928519094272 940577783808 978709315584 1012929921024 1097340747776 1131632646144 1293294452736 1304945754112 1392778641408 1508843528192 1591747018752 1646011121664 1724392603648 1857038188544 1881155567616 1957418631168 2194681495552 2263265292288 2586588905472 2785557282816 3017687056384 3292022243328 3448785207296 3714076377088 3914837262336 4389362991104 4526530584576 5173177810944 5571114565632 6035374112768 6584044486656 6897570414592 9053061169152 10346355621888 11142229131264 12070748225536 13168088973312 18106122338304 20692711243776 24141496451072 36212244676608 48282992902144 72424489353216 144848978706432
• Sum of all divisors σ(n): 532742969170944
• Sum of proper divisors (its aliquot sum) s(n): 387893990464512
• 144848978706432 is an abundant number, because the sum of its proper divisors (387893990464512) is greater than itself. Its abundance is 243045011758080

Bases of 144848978706432

• Binary: 100000111011110101000111111011000000000000000000₂
• Hexadecimal: 0x83BD47EC0000
• Base-36: 1FCEPA15HC

Squares and roots of 144848978706432

• 144848978706432 squared (144848978706432²) is 20981226632296390952038170624
• 144848978706432 cubed (144848978706432³) is 3039109249696323914797580084906251222253568
• The square root of 144848978706432 is 12035322.1272399685
• The cube root of 144848978706432 is 52517.6332250191

Scales and comparisons

• 144,848,978,706,432 seconds is equal to 4,605,749 years, 24 weeks, 5 days, 2 hours, 27 minutes, 12 seconds.
• To count from 1 to 144,848,978,706,432 would take you about eleven million, five hundred fourteen thousand, three hundred seventy-three 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 144848978706432 cubic inches would be around 4376.5 feet tall.

Recreational maths with 144848978706432

• 144848978706432 backwards is 234607879848441
• The number of decimal digits it has is: 15
• The sum of 144848978706432's digits is 75
• More coming soon!