513144064148352

Names of 513144064148352

• Cardinal: 513144064148352 can be written as Five hundred thirteen trillion, one hundred forty-four billion, sixty-four million, one hundred forty-eight thousand, three hundred fifty-two.

Scientific notation

• Scientific notation: 5.13144064148352 × 10¹⁴

Factors of 513144064148352

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 525106

Divisors of 513144064148352

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 37 39 42 48 52 56 64 74 78 84 91 96 104 111 112 128 148 156 168 182 192 208 222 224 259 273 296 312 336 364 384 416 444 448 481 518 546 592 624 672 728 757 777 832 888 896 962 1036 1092 1184 1248 1344 1443 1456 1514 1554 1664 1776 1924 2072 2184 2271 2368 2496 2688 2886 2912 3028 3108 3367 3552 3848 4144 4368 4542 4736 4992 5299 5772 5824 6056 6216 6734 7104 7696 8288 8736 9084 9841 10101 10598 11544 11648 12112 12432 13468 14208 15392 15897 16576 17472 18168 19682 20202 21196 23088 24224 24864 26936 28009 29523 30784 31794 33152 34944 36336 39364 40404 42392 46176 48448 49728 53872 56018 59046 61568 63588 68887 72672 78728 80808 84027 84784 92352 96896 99456 107744 112036 118092 127176 137774 145344 157456 161616 168054 169568 184704 196063 206661 215488 224072 236184 254352 275548 290688 314912 323232 336108 339136 364117 392126 413322 430976 448144 472368 508704 524287 551096 588189 629824 646464 672216 678272 728234 784252 826644 896288 944736 1017408 1048574 1092351 1102192 1176378 1259648 1292928 1344432 1456468 1568504 1572861 1653288 1792576 1889472 2034816 2097148 2184702 2204384 2352756 2548819 2688864 2912936 3137008 3145722 3306576 3585152 3670009 3778944 4194296 4369404 4408768 4705512 5097638 5377728 5825872 6274016 6291444 6613152 6815731 7340018 7646457 8388592 8738808 8817536 9411024 10195276 10755456 11010027 11651744 12548032 12582888 13226304 13631462 14680036 15292914 16777184 17477616 18822048 19398619 20390552 20447193 22020054 23303488 25096064 25165776 26452608 27262924 29360072 30585828 33554368 34955232 37644096 38797238 40781104 40894386 44040108 46606976 47710117 50331552 54525848 58195857 58720144 61171656 67108736 69910464 75288192 77594476 81562208 81788772 88080216 95420234 100663104 109051696 116391714 117440288 122343312 135790333 139820928 143130351 155188952 163124416 163577544 176160432 190840468 201326208 218103392 232783428 234880576 244686624 252182047 271580666 286260702 310377904 326248832 327155088 352320864 381680936 396885259 407370999 436206784 465566856 469761152 489373248 504364094 543161332 572521404 620755808 654310176 704641728 756546141 763361872 793770518 814741998 872413568 931133712 978746496 1008728188 1086322664 1145042808 1190655777 1241511616 1308620352 1409283456 1513092282 1526723744 1587541036 1629483996 1765274329 1862267424 2017456376 2172645328 2290085616 2381311554 2483023232 2617240704 2778196813 3026184564 3053447488 3175082072 3258967992 3530548658 3724534848 4034912752 4345290656 4580171232 4762623108 5159508367 5295822987 5556393626 6052369128 6106894976 6350164144 6517935984 7061097316 7449069696 8069825504 8334590439 8690581312 9160342464 9525246216 10319016734 10591645974 11112787252 12104738256 12700328288 13035871968 14122194632 14684754583 15478525101 16139651008 16669180878 17381162624 18320684928 19050492432 20638033468 21183291948 22225574504 24209476512 25400656576 26071743936 28244389264 29369509166 30957050202 32279302016 33338361756 36116558569 38100984864 41276066936 42366583896 44054263749 44451149008 48418953024 50801313152 52143487872 56488778528 58739018332 61914100404 66676723512 72233117138 76201969728 82552133872 84733167792 88108527498 88902298016 96837906048 102793282081 108349675707 112977557056 117478036664 123828200808 133353447024 144466234276 152403939456 165104267744 169466335584 176217054996 177804596032 190901809579 205586564162 216699351414 225955114112 234956073328 247656401616 266706894048 288932468552 308379846243 330208535488 338932671168 352434109992 355609192064 381803619158 411173128324 433398702828 469912146656 495312803232 533413788096 572705428737 577864937104 616759692486 660417070976 677865342336 704868219984 763607238316 822346256648 866797405656 939824293312 990625606464 1066827576192 1145410857474 1155729874208 1233519384972 1336312667053 1409736439968 1527214476632 1644692513296 1733594811312 1879648586624 1981251212928 2290821714948 2311459748416 2467038769944 2672625334106 2819472879936 3054428953264 3289385026592 3467189622624 4008938001159 4581643429896 4622919496832 4934077539888 5345250668212 5638945759872 6108857906528 6578770053184 6934379245248 8017876002318 9163286859792 9868155079776 10690501336424 12217715813056 13157540106368 13868758490496 16035752004636 18326573719584 19736310159552 21381002672848 24435431626112 32071504009272 36653147439168 39472620319104 42762005345696 64143008018544 73306294878336 85524010691392 128286016037088 171048021382784 256572032074176 513144064148352
• Sum of all divisors σ(n): 1725205818900480
• Sum of proper divisors (its aliquot sum) s(n): 1212061754752128
• 513144064148352 is an abundant number, because the sum of its proper divisors (1212061754752128) is greater than itself. Its abundance is 698917690603776

Bases of 513144064148352

• Binary: 1110100101011001110101001101010011000001110000000₂
• Hexadecimal: 0x1D2B3A9A98380
• Base-36: 51W74MT1MO

Squares and roots of 513144064148352

• 513144064148352 squared (513144064148352²) is 263316830570687992387064315904
• 513144064148352 cubed (513144064148352³) is 135119468597705854138321949138964159248990208
• The square root of 513144064148352 is 22652683.3763320853
• The cube root of 513144064148352 is 80059.5423472601

Scales and comparisons

• 513,144,064,148,352 seconds is equal to 16,316,393 years, 51 weeks, 2 hours, 59 minutes, 12 seconds.
• To count from 1 to 513,144,064,148,352 would take you about forty million, seven hundred ninety thousand, nine hundred eighty-four 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 513144064148352 cubic inches would be around 6671.6 feet tall.

Recreational maths with 513144064148352

• 513144064148352 backwards is 253841460441315
• The number of decimal digits it has is: 15
• The sum of 513144064148352's digits is 51
• More coming soon!