345238993649664

Names of 345238993649664

• Cardinal: 345238993649664 can be written as Three hundred forty-five trillion, two hundred thirty-eight billion, nine hundred ninety-three million, six hundred forty-nine thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 3.45238993649664 × 10¹⁴

Factors of 345238993649664

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 132

Divisors of 345238993649664

• Number of divisors d(n): 375
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 127 128 144 162 192 216 254 256 288 324 381 384 432 508 512 576 648 762 768 864 1016 1024 1143 1152 1296 1524 1536 1728 2032 2048 2286 2304 2592 3048 3072 3429 3456 4064 4096 4572 4608 5184 6096 6144 6858 6912 8128 8192 9144 9216 10287 10368 12192 12288 13716 13824 16129 16256 16384 18288 18432 20574 20736 24384 24576 27432 27648 32258 32512 36576 36864 41148 41472 48387 48768 49152 54864 55296 64516 65024 73152 73728 82296 82944 96774 97536 109728 110592 129032 130048 145161 146304 147456 164592 165888 193548 195072 219456 221184 258064 260096 290322 292608 329184 331776 387096 390144 435483 438912 442368 516128 520192 580644 585216 658368 663552 774192 780288 870966 877824 1032256 1040384 1161288 1170432 1306449 1316736 1327104 1548384 1560576 1741932 1755648 2048383 2064512 2080768 2322576 2340864 2612898 2633472 3096768 3121152 3483864 3511296 4096766 4129024 4645152 4681728 5225796 5266944 6145149 6193536 6242304 6967728 7022592 8193532 8258048 9290304 9363456 10451592 10533888 12290298 12387072 13935456 14045184 16387064 16516096 18435447 18580608 18726912 20903184 21067776 24580596 24774144 27870912 28090368 32774128 33032192 36870894 37161216 41806368 42135552 49161192 49548288 55306341 55741824 56180736 65548256 66064384 73741788 74322432 83612736 84271104 98322384 99096576 110612682 111483648 131096512 132128768 147483576 148644864 165919023 167225472 168542208 196644768 198193152 221225364 222967296 260144641 262193024 264257536 294967152 297289728 331838046 334450944 393289536 396386304 442450728 445934592 520289282 524386048 589934304 594579456 663676092 668901888 780433923 786579072 792772608 884901456 891869184 1040578564 1048772096 1179868608 1189158912 1327352184 1337803776 1560867846 1573158144 1769802912 1783738368 2081157128 2097544192 2341301769 2359737216 2378317824 2654704368 2675607552 3121735692 3146316288 3539605824 3567476736 4162314256 4195088384 4682603538 4719474432 5309408736 5351215104 6243471384 6292632576 7023905307 7079211648 7134953472 8324628512 8390176768 9365207076 9438948864 10618817472 10702430208 12486942768 12585265152 14047810614 14158423296 16649257024 16780353536 18730414152 18877897728 21071715921 21237634944 21404860416 24973885536 25170530304 28095621228 28316846592 33298514048 33560707072 37460828304 37755795456 42143431842 42475269888 49947771072 50341060608 56191242456 56633693184 66597028096 74921656608 75511590912 84286863684 84950539776 99895542144 100682121216 112382484912 113267386368 133194056192 149843313216 151023181824 168573727368 169901079552 199791084288 224764969824 226534772736 266388112384 299686626432 302046363648 337147454736 339802159104 399582168576 449529939648 453069545472 532776224768 599373252864 674294909472 679604318208 799164337152 899059879296 906139090944 1065552449536 1198746505728 1348589818944 1359208636416 1598328674304 1798119758592 2131104899072 2397493011456 2697179637888 2718417272832 3196657348608 3596239517184 4262209798144 4794986022912 5394359275776 6393314697216 7192479034368 9589972045824 10788718551552 12786629394432 14384958068736 19179944091648 21577437103104 28769916137472 38359888183296 43154874206208 57539832274944 86309748412416 115079664549888 172619496824832 345238993649664
• Sum of all divisors σ(n): 1039609192773767
• Sum of proper divisors (its aliquot sum) s(n): 694370199124103
• 345238993649664 is an abundant number, because the sum of its proper divisors (694370199124103) is greater than itself. Its abundance is 349131205474439

Bases of 345238993649664

• Binary: 1001110011111111000110111100101000100000000000000₂
• Hexadecimal: 0x139FE37944000
• Base-36: 3EDKLR0G00

Squares and roots of 345238993649664

• 345238993649664 squared (345238993649664²) is 119189962736232739718767312896
• 345238993649664 cubed (345238993649664³) is 41149022788197943625210236922184201293266944
• 345238993649664 is a perfect square number. Its square root is 18580608
• The cube root of 345238993649664 is 70151.9822741927

Scales and comparisons

• 345,238,993,649,664 seconds is equal to 10,977,532 years, 5 weeks, 2 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 345,238,993,649,664 would take you about twenty-seven million, four hundred forty-three thousand, eight hundred thirty 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 345238993649664 cubic inches would be around 5846 feet tall.

Recreational maths with 345238993649664

• 345238993649664 backwards is 466946399832543
• 345238993649664 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 345238993649664's digits is 81
• More coming soon!