138142671353442064

Names of 138142671353442064

• Cardinal: 138142671353442064 can be written as One hundred thirty-eight quadrillion, one hundred forty-two trillion, six hundred seventy-one billion, three hundred fifty-three million, four hundred forty-two thousand and sixty-four.

Scientific notation

• Scientific notation: 1.38142671353442064 × 10¹⁷

Factors of 138142671353442064

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 75

Divisors of 138142671353442064

• Number of divisors d(n): 405
• Complete list of divisors:
  1 2 4 8 16 19 23 31 38 46 62 76 92 124 152 184 248 304 361 368 437 496 529 589 713 722 874 961 1058 1178 1426 1444 1748 1922 2116 2356 2852 2888 3496 3844 4232 4712 5704 5776 6859 6992 7688 8303 8464 9424 10051 11191 11408 13547 13718 15376 16399 16606 18259 20102 22103 22382 27094 27436 32798 33212 36518 40204 44206 44764 54188 54872 65596 66424 73036 80408 88412 89528 108376 109744 130321 131192 132848 146072 157757 160816 176824 179056 190969 212629 216752 257393 260642 262384 292144 311581 315514 346921 353648 381938 419957 425258 508369 514786 521284 623162 631028 693842 763876 839914 850516 1016738 1029572 1042568 1246324 1262056 1387684 1527752 1679828 1701032 2033476 2059144 2085136 2476099 2492648 2524112 2775368 2997383 3055504 3359656 3402064 3628411 4039951 4066952 4118288 4890467 4952198 4985296 5550736 5920039 5994766 6591499 6719312 7256822 7979183 8079902 8133904 9659011 9780934 9904396 11840078 11989532 13182998 14513644 15958366 16159804 19318022 19561868 19808792 23680156 23979064 26365996 29027288 31916732 32319608 38636044 39123736 39617584 47045881 47360312 47958128 52731992 56950277 58054576 63833464 64639216 68939809 76759069 77272088 78247472 92918873 94091762 94720624 105463984 112480741 113900554 125238481 127666928 137879618 151604477 153518138 154544176 183521209 185837746 188183524 224961482 227801108 250476962 275759236 303208954 307036276 367042418 371675492 376367048 449922964 455602216 500953924 551518472 606417908 614072552 734084836 743350984 752734096 893871739 899845928 911204432 1001907848 1082055263 1103036944 1212835816 1228145104 1309856371 1458422311 1468169672 1486701968 1765458587 1787743478 1799691856 2003815696 2137134079 2164110526 2379531139 2425671632 2619712742 2880485063 2916844622 2936339344 3486902971 3530917174 3575486956 4274268158 4328221052 4759062278 5239425484 5760970126 5833689244 6973805942 7061834348 7150973912 8548536316 8656442104 9518124556 10478850968 11521940252 11667378488 13947611884 14123668696 14301947824 16983563041 17097072632 17312884208 19036249112 20559049997 20957701936 23043880504 23334756976 24887271049 27710023909 27895223768 28247337392 33543713153 33967126082 34194145264 38072498224 40605547501 41118099994 45211091641 46087761008 49774542098 54729216197 55420047818 55790447536 66251156449 67087426306 67934252164 81211095002 82236199988 90422183282 99549084196 109458432394 110840095636 132502312898 134174852612 135868504328 162422190004 164472399976 180844366564 199098168392 218916864788 221680191272 265004625796 268349705224 271737008656 324844380008 328944799952 361688733128 390621949943 398196336784 437833729576 443360382544 472858149931 526490454271 530009251592 536699410448 637330549907 649688760016 723377466256 771505402519 781243899886 859010741179 875667459152 945716299862 1039855107743 1052980908542 1060018503184 1258771972531 1274661099814 1543010805038 1562487799772 1718021482358 1891432599724 2079710215486 2105961817084 2517543945062 2549322199628 3086021610076 3124975599544 3436042964716 3782865199448 4159420430972 4211923634168 5035087890124 5098644399256 6172043220152 6249951199088 6872085929432 7565730398896 8318840861944 8423847268336 8984304848689 10070175780248 10197288798512 12109280448233 12344086440304 13744171858864 14658602647861 16321204082401 16637681723888 17968609697378 19757247047117 20140351560496 23916667478089 24218560896466 29317205295722 32642408164802 35937219394756 39514494094234 47833334956178 48437121792932 58634410591444 65284816329604 71874438789512 79028988188468 95666669912356 96874243585864 117268821182888 130569632659208 143748877579024 158057976376936 191333339824712 193748487171728 234537642365776 261139265318416 278513450309359 316115952753872 375387693895223 382666679649424 454416682083691 557026900618718 750775387790446 908833364167382 1114053801237436 1501550775580892 1817666728334764 2228107602474872 3003101551161784 3635333456669528 4456215204949744 6006203102323568 7270666913339056 8633916959590129 17267833919180258 34535667838360516 69071335676721032 138142671353442064
• Sum of all divisors σ(n): 305172908699288679
• Sum of proper divisors (its aliquot sum) s(n): 167030237345846615
• 138142671353442064 is an abundant number, because the sum of its proper divisors (167030237345846615) is greater than itself. Its abundance is 28887565992404551

Bases of 138142671353442064

• Binary: 111101010110010000000011100010110010110000110111100010000₂
• Hexadecimal: 0x1EAC80716586F10
• Base-36: 11S7HN49RF9S

Squares and roots of 138142671353442064

• 138142671353442064 squared (138142671353442064²) is 19083397648665102654347180604580096
• 138142671353442064 cubed (138142671353442064³) is 2636231529686592318237650016960435380339972983558144
• 138142671353442064 is a perfect square number. Its square root is 371675492
• The cube root of 138142671353442064 is 516942.9497728975

Scales and comparisons

• 138,142,671,353,442,064 seconds is equal to 4,392,509,645 years, 36 weeks, 3 days, 5 hours, 1 minute, 4 seconds.
• To count from 1 to 138,142,671,353,442,064 would take you about thirteen billion, one hundred seventy-seven million, five hundred twenty-eight thousand, nine hundred thirty-seven 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 138142671353442064 cubic inches would be around 43078.6 feet tall.

Recreational maths with 138142671353442064

• 138142671353442064 backwards is 460244353176241831
• The number of decimal digits it has is: 18
• The sum of 138142671353442064's digits is 64
• More coming soon!