138229724342528

Names of 138229724342528

• Cardinal: 138229724342528 can be written as One hundred thirty-eight trillion, two hundred twenty-nine billion, seven hundred twenty-four million, three hundred forty-two thousand, five hundred twenty-eight.

Scientific notation

• Scientific notation: 1.38229724342528 × 10¹⁴

Factors of 138229724342528

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 5916

Divisors of 138229724342528

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 31 32 37 52 56 62 64 74 91 104 112 124 128 148 182 208 217 224 248 256 259 296 364 403 416 434 448 481 496 518 592 728 806 832 868 896 962 992 1036 1093 1147 1184 1456 1612 1664 1736 1792 1924 1984 2072 2186 2294 2368 2821 2912 3224 3328 3367 3472 3848 3968 4144 4372 4588 4733 4736 5642 5824 6448 6734 6944 7651 7696 7936 8029 8288 8744 9176 9466 9472 11284 11648 12896 13468 13888 14209 14911 15302 15392 16058 16576 17488 18352 18932 22568 23296 25792 26936 27776 28418 29822 30604 30784 32116 33131 33152 33883 34976 36704 37864 40441 45136 51584 53872 55552 56836 59644 61208 61529 61568 64232 66262 66304 67766 69952 73408 75728 80882 90272 99463 103168 104377 107744 113672 119288 122416 123058 123136 128464 132524 135532 139904 146723 146816 151456 161764 175121 180544 198926 208754 215488 227344 237181 238576 244832 246116 256928 265048 271064 279808 283087 293446 293632 302912 323528 350242 361088 397852 417508 430703 430976 440479 454688 474362 477152 489664 492232 513856 525733 530096 542128 566174 586892 605824 647056 700484 722176 795704 835016 861406 861952 880958 909376 948724 954304 979328 984464 1027061 1027712 1051466 1060192 1084256 1132348 1173784 1211648 1225847 1253671 1294112 1400968 1591408 1670032 1722812 1761916 1818752 1897448 1907399 1908608 1958656 1968928 2054122 2055424 2102932 2120384 2168512 2264696 2276573 2347568 2451694 2507342 2588224 2801936 3083353 3182816 3340064 3445624 3523832 3637504 3680131 3794896 3814798 3817216 3937856 4108244 4205864 4240768 4337024 4529392 4553146 4695136 4903388 5014684 5173169 5176448 5428751 5603872 6166706 6365632 6680128 6891248 7047664 7360262 7589792 7629596 7875712 8216488 8411728 8481536 8674048 8775697 9058784 9106292 9390272 9806776 10029368 10346338 10352896 10857502 11207744 12333412 12731264 13351793 13360256 13782496 14095328 14720524 15179584 15259192 15751424 15936011 16297723 16432976 16823456 17551394 18117568 18212584 18780544 19613552 20058736 20692676 21715004 22415488 24666824 25462528 26703586 26720512 27564992 28190656 29441048 30359168 30518384 31872022 32595446 32865952 33646912 35102788 36212183 36235136 36425168 37561088 38001257 39227104 40117472 41385352 43430008 44830976 49333648 53407172 55129984 56381312 58882096 60718336 61036768 63744044 65190892 65731904 67251197 67293824 70205576 70573763 72424366 72470272 72850336 76002514 78454208 80234944 82770704 86860016 98667296 106814344 110259968 112762624 114084061 117764192 122073536 127488088 130381784 131463808 134502394 134587648 140411152 141147526 144848732 145700672 152005028 156908416 160368239 160469888 165541408 173720032 191407253 197334592 213628688 228168122 235528384 244147072 254976176 260763568 262927616 269004788 280822304 282295052 289697464 291401344 304010056 313816832 320736478 320939776 331082816 347440064 382814506 394669184 427257376 456336244 470758379 471056768 488294144 494016341 509952352 521527136 538009576 561644608 564590104 579394928 582802688 608020112 641472956 662165632 694880128 765629012 789338368 854514752 912672488 941516758 942113536 988032682 1019904704 1043054272 1076019152 1122577673 1123289216 1129180208 1158789856 1216040224 1282945912 1324331264 1339850771 1389760256 1531258024 1709029504 1825344976 1883033516 1976065364 2039809408 2084787107 2086108544 2152038304 2245155346 2246578432 2258360416 2317579712 2432080448 2488294289 2565891824 2679701542 3062516048 3418059008 3650689952 3766067032 3952130728 4079618816 4169574214 4172217088 4304076608 4490310692 4516720832 4635159424 4864160896 4976588578 5131783648 5359403084 5933624843 6125032096 7301379904 7532134064 7904261456 8339148428 8608153216 8980621384 9033441664 9270318848 9728321792 9953177156 10263567296 10718806168 11867249686 12250064192 14593509749 14602759808 15064268128 15808522912 16678296856 17216306432 17418060023 17961242768 18066883328 19906354312 20527134592 21437612336 23734499372 24500128384 29187019498 29205519616 30128536256 31617045824 33356593712 34836120046 35922485536 39812708624 41054269184 41535373901 42875224672 47468998744 49000256768 58374038996 60257072512 63234091648 66713187424 69672240092 71844971072 77137122959 79625417248 83070747802 85750449344 94937997488 116748077992 120514145024 126468183296 133426374848 139344480184 143689942144 154274245918 159250834496 166141495604 171500898688 189875994976 233496155984 266852749696 278688960368 287379884288 308548491836 318501668992 332282991208 343001797376 379751989952 466992311968 533705499392 539959860713 557377920736 617096983672 637003337984 664565982416 759503979904 933984623936 1079919721426 1114755841472 1234193967344 1329131964832 1519007959808 1867969247872 2159839442852 2229511682944 2468387934688 2658263929664 3735938495744 4319678885704 4459023365888 4936775869376 5316527859328 8639357771408 9873551738752 10633055718656 17278715542816 19747103477504 34557431085632 69114862171264 138229724342528
• Sum of all divisors σ(n): 360427627671552
• Sum of proper divisors (its aliquot sum) s(n): 222197903329024
• 138229724342528 is an abundant number, because the sum of its proper divisors (222197903329024) is greater than itself. Its abundance is 83968178986496

Bases of 138229724342528

• Binary: 11111011011100000011101100111011110100100000000₂
• Hexadecimal: 0x7DB81D9DE900
• Base-36: 1CZXUWVYM8

Squares and roots of 138229724342528

• 138229724342528 squared (138229724342528²) is 19107456691811277921869430784
• 138229724342528 cubed (138229724342528³) is 2641218471395864932960038385331516003581952
• The square root of 138229724342528 is 11757113.7760305781
• The cube root of 138229724342528 is 51705.1513812819

Scales and comparisons

• 138,229,724,342,528 seconds is equal to 4,395,277 years, 34 weeks, 2 days, 18 hours, 42 minutes, 8 seconds.
• To count from 1 to 138,229,724,342,528 would take you about ten million, nine hundred eighty-eight thousand, one hundred ninety-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 138229724342528 cubic inches would be around 4308.8 feet tall.

Recreational maths with 138229724342528

• 138229724342528 backwards is 825243427922831
• 138229724342528 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138229724342528's digits is 62
• More coming soon!