514993764072137216

Names of 514993764072137216

• Cardinal: 514993764072137216 can be written as Five hundred fourteen quadrillion, nine hundred ninety-three trillion, seven hundred sixty-four billion, seventy-two million, one hundred thirty-seven thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 5.14993764072137216 × 10¹⁷

Factors of 514993764072137216

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 4264

Divisors of 514993764072137216

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 4 8 16 29 31 32 58 62 64 73 116 124 128 146 232 248 256 292 464 496 512 584 841 899 928 961 992 1168 1682 1798 1856 1922 1984 2117 2263 2336 3364 3596 3712 3844 3968 4129 4234 4526 4672 6728 7192 7424 7688 7936 8258 8468 9052 9344 13456 14384 14848 15376 15872 16516 16936 18104 18688 26071 26912 27869 28768 30752 33032 33872 36208 37376 52142 53824 55738 57536 61393 61504 65627 66064 67744 70153 72416 104284 107648 111476 115072 119741 122786 123008 127999 131254 132128 135488 140306 144832 208568 215296 222952 230144 239482 245572 246016 255998 262508 264256 270976 280612 289664 301417 417136 430592 445904 460288 478964 491144 492032 511996 525016 528512 541952 561224 579328 602834 808201 834272 891808 957928 982288 1023992 1050032 1057024 1083904 1122448 1158656 1205668 1616402 1668544 1783616 1903183 1915856 1964576 2034437 2047984 2100064 2114048 2244896 2411336 3232804 3337088 3472489 3567232 3711971 3806366 3831712 3929152 3967969 4068874 4095968 4200128 4489792 4822672 6465608 6674176 6944978 7134464 7423942 7612732 7663424 7858304 7935938 8137748 8191936 8400256 8741093 8979584 9343927 9645344 12931216 13348352 13889956 14268928 14847884 15225464 15326848 15716608 15871876 16275496 16383872 16800512 17048641 17482186 17959168 18687854 19290688 25862432 27779912 29695768 30450928 30653696 31433216 31743752 32550992 32767744 33601024 34097282 34964372 35918336 37375708 38581376 51724864 55559824 58998673 59391536 60901856 61307392 63487504 65101984 65535488 68194564 69928744 74751416 77162752 103449728 107647159 111119648 115071101 117997346 118783072 121803712 126975008 130203968 136389128 139857488 149502832 154325504 206899456 215294318 222239296 230142202 235994692 237566144 243607424 253491697 253950016 260407936 270973883 272778256 279714976 289661737 299005664 413798912 430588636 444478592 460284404 471989384 475132288 487214848 494410589 506983394 507900032 520815872 528507871 541947766 545556512 559429952 579323474 598011328 861177272 888957184 920568808 943978768 950264576 974429696 988821178 1013966788 1015800064 1041631744 1057015742 1083895532 1091113024 1118859904 1158646948 1196022656 1244550793 1722354544 1777914368 1841137616 1887957536 1900529152 1977642356 2027933576 2031600128 2114031484 2167791064 2182226048 2237719808 2317293896 2392045312 2489101586 3337061929 3444709088 3682275232 3775915072 3955284712 4055867152 4228062968 4335582128 4364452096 4475439616 4634587792 4784090624 4978203172 6674123858 6889418176 7364550464 7551830144 7858242607 7910569424 8111734304 8400190373 8456125936 8671164256 8728904192 9269175584 9956406344 13348247716 13778836352 14337907081 14729100928 15103660288 15326728259 15716485214 15821138848 16223468608 16383744001 16800380746 16912251872 17342328512 18538351168 19912812688 26696495432 27557672704 28675814162 29458201856 30207320576 30653456518 31432970428 31642277696 32446937216 32767488002 33600761492 33824503744 34684657024 36091972997 37076702336 38581074583 39825625376 53392990864 55115345408 57351628324 58916403712 61306913036 62865940856 63284555392 64893874432 65534976004 67201522984 67649007488 69369314048 72183945994 74153404672 77162149166 79651250752 106785981728 114703256648 122613826072 125731881712 126569110784 129787748864 131069952008 134403045968 135298014976 138738628096 144367891988 148306809344 154324298332 159302501504 213571963456 229406513296 243605520817 245227652144 251463763424 253138221568 262139904016 268806091936 270596029952 288735783976 308648596664 318605003008 427143926912 444475119511 458813026592 475128576029 487211041634 490455304288 502927526848 524279808032 537612183872 577471567952 617297193328 637210006016 854287853824 888950239022 917626053184 950257152058 974422083268 980910608576 1005855053696 1046667216913 1048559616064 1075224367744 1118851162907 1154943135904 1196013312073 1234594386656 1708575707648 1777900478044 1835252106368 1900514304116 1948844166536 1961821217152 2011710107392 2093334433826 2097119232128 2150448735488 2237702325814 2309886271808 2392026624146 2469188773312 3555800956088 3670504212736 3801028608232 3897688333072 3923642434304 4023420214784 4186668867652 4194238464256 4300897470976 4475404651628 4619772543616 4784053248292 4938377546624 7111601912176 7341008425472 7602057216464 7795376666144 7847284868608 8373337735304 8388476928512 8950809303256 9239545087232 9568106496584 9876755093248 13778728704841 14223203824352 15204114432928 15590753332288 16746675470608 17901618606512 18479090174464 19136212993168 19753510186496 27557457409682 28446407648704 30408228865856 31181506664576 32446683724303 33493350941216 34684386050117 35803237213024 38272425986336 55114914819364 56892815297408 60816457731712 62363013329152 64893367448606 66986701882432 69368772100234 71606474426048 76544851972672 110229829638728 113785630594816 121632915463424 124726026658304 129786734897212 133973403764864 138737544200468 143212948852096 153089703945344 220459659277456 227571261189632 243265830926848 259573469794424 267946807529728 277475088400936 286425897704192 306179407890688 440919318554912 519146939588848 535893615059456 554950176801872 572851795408384 612358815781376 881838637109824 1005847195453393 1038293879177696 1109900353603744 1763677274219648 2011694390906786 2076587758355392 2219800707207488 3527354548439296 4023388781813572 4153175516710784 4439601414414976 7054709096878592 8046777563627144 8306351033421568 8879202828829952 16093555127254288 16612702066843136 17758405657659904 32187110254508576 64374220509017152 128748441018034304 257496882036068608 514993764072137216
• Sum of all divisors σ(n): 1116528252658916526
• Sum of proper divisors (its aliquot sum) s(n): 601534488586779310
• 514993764072137216 is an abundant number, because the sum of its proper divisors (601534488586779310) is greater than itself. Its abundance is 86540724514642094

Bases of 514993764072137216

• Binary: 11100100101101000000001100110010001000011111010001000000000₂
• Hexadecimal: 0x725A019910FA200
• Base-36: 3WUU1X4FLIWW

Squares and roots of 514993764072137216

• 514993764072137216 squared (514993764072137216²) is 265218577033188128789845825932230656
• 514993764072137216 cubed (514993764072137216³) is 136585913288177637144255198091677201401600908193693696
• The square root of 514993764072137216 is 717630659.9303970763
• The cube root of 514993764072137216 is 801556.2228709027

Scales and comparisons

• 514,993,764,072,137,216 seconds is equal to 16,375,208,717 years, 9 weeks, 6 days, 3 hours, 26 minutes, 56 seconds.
• To count from 1 to 514,993,764,072,137,216 would take you about forty-nine billion, one hundred twenty-five million, six hundred twenty-six thousand, one hundred fifty-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 514993764072137216 cubic inches would be around 66796.4 feet tall.

Recreational maths with 514993764072137216

• 514993764072137216 backwards is 612731270467399415
• The number of decimal digits it has is: 18
• The sum of 514993764072137216's digits is 77
• More coming soon!