137390514144

Names of 137390514144

• Cardinal: 137390514144 can be written as One hundred thirty-seven billion, three hundred ninety million, five hundred fourteen thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.37390514144 × 10¹¹

Factors of 137390514144

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 666

Divisors of 137390514144

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 71 78 87 96 104 116 127 142 156 174 208 213 232 254 284 312 348 377 381 416 421 426 464 508 568 624 696 754 762 842 852 923 928 1016 1131 1136 1248 1263 1392 1508 1524 1651 1684 1704 1846 2032 2059 2262 2272 2526 2769 2784 3016 3048 3302 3368 3408 3683 3692 4064 4118 4524 4953 5052 5473 5538 6032 6096 6177 6604 6736 6816 7366 7384 8236 9017 9048 9906 10104 10946 11049 11076 12064 12192 12209 12354 13208 13472 14732 14768 16419 16472 18034 18096 19812 20208 21892 22098 22152 24418 24708 26416 26767 27051 29464 29536 29891 32838 32944 36068 36192 36627 39624 40416 43784 44196 44304 47879 48836 49416 52832 53467 53534 54102 58928 59782 65676 65888 72136 73254 79248 80301 87568 88392 88608 89673 95758 97672 98832 106934 107068 108204 117221 117856 119564 131352 143637 144272 146508 158496 158717 160401 160602 175136 176784 179346 191516 195344 197664 213868 214136 216408 234442 239128 261493 262704 287274 288544 293016 317434 320802 321204 351663 353568 358692 383032 388583 390688 427736 428272 432816 468884 476151 478256 522986 525408 574548 586032 634868 641604 642408 695071 703326 717384 766064 777166 784479 855472 856544 865632 866839 937768 952302 956512 1045972 1149096 1165749 1172064 1269736 1283208 1284816 1390142 1406652 1434768 1532128 1550543 1554332 1568958 1710944 1733678 1875536 1904604 2085213 2091944 2298192 2331498 2539472 2566416 2569632 2600517 2780284 2813304 2869536 3101086 3108664 3137916 3399409 3467356 3751072 3796157 3809208 4170426 4183888 4596384 4651629 4662996 5078944 5132832 5201034 5560568 5626608 6202172 6217328 6275832 6798818 6934712 7592314 7618416 8340852 8367776 9303258 9325992 10198227 10402068 11121136 11253216 11268907 11388471 12404344 12434656 12551664 13597636 13869424 15184628 15236832 16681704 18606516 18651984 20157059 20396454 20804136 22242272 22537814 22776942 24808688 25103328 27195272 27738848 30369256 33363408 33806721 37213032 37303968 40314118 40792908 41608272 45075628 45553884 49350041 49617376 54390544 60471177 60738512 66726816 67613442 74426064 80628236 81585816 83216544 90151256 91107768 98700082 108781088 110088553 120942354 121477024 135226884 148050123 148852128 161256472 163171632 180302512 182215536 197400164 220177106 241884708 270453768 296100246 322512944 326343264 330265659 360605024 364431072 394800328 440354212 483769416 540907536 592200492 645025888 660531318 789600656 880708424 967538832 1081815072 1184400984 1321062636 1431151189 1579201312 1761416848 1935077664 2368801968 2642125272 2862302378 3522833696 4293453567 4737603936 5284250544 5724604756 8586907134 10568501088 11449209512 17173814268 22898419024 34347628536 45796838048 68695257072 137390514144
• Sum of all divisors σ(n): 411627847680
• Sum of proper divisors (its aliquot sum) s(n): 274237333536
• 137390514144 is an abundant number, because the sum of its proper divisors (274237333536) is greater than itself. Its abundance is 136846819392

Bases of 137390514144

• Binary: 1111111111101000111001101111111100000₂
• Hexadecimal: 0x1FFD1CDFE0
• Base-36: 1R46RJ6O

Squares and roots of 137390514144

• 137390514144 squared (137390514144²) is 18876153376752664052736
• 137390514144 cubed (137390514144³) is 2593404417493050251327105769897984
• The square root of 137390514144 is 370662.2642568299
• The cube root of 137390514144 is 5160.0302732435

Scales and comparisons

• 137,390,514,144 seconds is equal to 4,368 years, 30 weeks, 5 days, 23 hours, 42 minutes, 24 seconds.
• To count from 1 to 137,390,514,144 would take you about eight thousand, seven 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 137390514144 cubic inches would be around 430 feet tall.

Recreational maths with 137390514144

• 137390514144 backwards is 441415093731
• The number of decimal digits it has is: 12
• The sum of 137390514144's digits is 42
• More coming soon!