137505136323438

Names of 137505136323438

• Cardinal: 137505136323438 can be written as One hundred thirty-seven trillion, five hundred five billion, one hundred thirty-six million, three hundred twenty-three thousand, four hundred thirty-eight.

Scientific notation

• Scientific notation: 1.37505136323438 × 10¹⁴

Factors of 137505136323438

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 2205

Divisors of 137505136323438

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 6 9 13 18 26 27 39 54 67 78 81 117 134 162 169 201 234 338 351 402 507 603 702 871 991 1014 1053 1129 1206 1521 1742 1809 1982 2106 2258 2613 2973 3042 3387 3618 4489 4563 5226 5427 5946 6774 7839 8919 8978 9126 10161 10854 11323 12883 13467 13689 14677 15678 17838 20322 22646 23517 25766 26757 26934 27378 29354 30483 33969 38649 40401 44031 47034 53514 58357 60966 66397 67938 70551 75643 77298 80271 80802 88062 91449 101907 115947 116714 121203 132093 132794 141102 151286 160542 167479 175071 182898 190801 199191 203814 226929 231894 242406 264186 305721 334958 347841 350142 363609 381602 396279 398382 453858 502437 525213 572403 597573 611442 680787 695682 727218 758641 792558 863161 917163 983359 1004874 1043523 1050426 1118839 1144806 1188837 1195146 1361574 1507311 1517282 1575639 1717209 1726322 1792719 1834326 1966718 2042361 2087046 2237678 2275923 2377674 2589483 2950077 3014622 3151278 3356517 3434418 3585438 4084722 4448599 4521933 4551846 4726917 5068081 5151627 5178966 5378157 5900154 6127083 6713034 6827769 7768449 8850231 8897198 9043866 9453834 10069551 10136162 10303254 10756314 11221093 12254166 12783667 13345797 13565799 13655538 14544907 15204243 15454881 15536898 17700462 20139102 20483307 22442186 23305347 25567334 26550693 26691594 27131598 29089814 30208653 30408486 30909762 33663279 38351001 40037391 40966614 43634721 45612729 46610694 53101386 57831787 60417306 61449921 65885053 67326558 69916041 74962213 76702002 79652079 80074782 87269442 90625959 91225458 100989837 115053003 115663574 120112173 122899842 130904163 131770106 136838187 139832082 149924426 159304158 173495361 181251918 189083791 197655159 201979674 224886639 230106006 240224346 261808326 273676374 302969511 345159009 346990722 360336519 378167582 392712489 395310318 410514561 449773278 520486083 567251373 592965477 605939022 674659917 690318018 720673038 751813231 785424978 821029122 856505689 908908533 974508769 1035477027 1040972166 1134502746 1178137467 1185930954 1349319834 1503626462 1561458249 1701754119 1713011378 1778896431 1817817066 1949017538 2023979751 2070954054 2255439693 2356274934 2569517067 2923526307 3122916498 3403508238 3557792862 4047959502 4510879386 4684374747 5022468271 5105262357 5139034134 5336689293 5847052614 6071939253 6766319079 7708551201 8770578921 9368749494 10044936542 10210524714 10673378586 12143878506 12668613997 13532638158 15067404813 15315787071 15417102402 17541157842 20298957237 23125653603 25337227994 26311736763 30134809626 30631574142 38005841991 40597914474 45202214439 46251307206 52623473526 60896871711 65292087523 69376960809 76011683982 78935210289 90404428878 114017525973 121793743422 130584175046 135606643317 138753921618 157870420578 195876262569 228035051946 271213286634 342052577919 391752525138 406819929951 587628787707 684105155838 813639859902 848797137799 1026157733757 1175257575414 1697594275598 1762886363121 2052315467514 2546391413397 3525772726242 5092782826794 5288659089363 7639174240191 10577318178726 15278348480382 22917522720573 45835045441146 68752568161719 137505136323438
• Sum of all divisors σ(n): 339333595634880
• Sum of proper divisors (its aliquot sum) s(n): 201828459311442
• 137505136323438 is an abundant number, because the sum of its proper divisors (201828459311442) is greater than itself. Its abundance is 64323322988004

Bases of 137505136323438

• Binary: 11111010000111101101000110011100010101101101110₂
• Hexadecimal: 0x7D0F68CE2B6E
• Base-36: 1CQOZJW0VI

Squares and roots of 137505136323438

• 137505136323438 squared (137505136323438²) is 18907662515327268459748139844
• 137505136323438 cubed (137505136323438³) is 2599900711727634682698599551080257638863672
• The square root of 137505136323438 is 11726258.4110805779
• The cube root of 137505136323438 is 51614.6484465799

Scales and comparisons

• 137,505,136,323,438 seconds is equal to 4,372,238 years, 1 day, 8 hours, 57 minutes, 18 seconds.
• To count from 1 to 137,505,136,323,438 would take you about ten million, nine hundred thirty thousand, five hundred ninety-five 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 137505136323438 cubic inches would be around 4301.2 feet tall.

Recreational maths with 137505136323438

• 137505136323438 backwards is 834323631505731
• 137505136323438 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137505136323438's digits is 54
• More coming soon!