138517200480768

Names of 138517200480768

• Cardinal: 138517200480768 can be written as One hundred thirty-eight trillion, five hundred seventeen billion, two hundred million, four hundred eighty thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.38517200480768 × 10¹⁴

Factors of 138517200480768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1283

Divisors of 138517200480768

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 128 137 152 174 192 228 232 256 274 304 348 384 411 456 464 512 548 551 608 696 768 822 912 928 1093 1096 1102 1216 1392 1536 1644 1653 1824 1856 2186 2192 2204 2432 2603 2784 3279 3288 3306 3648 3712 3973 4372 4384 4408 4864 5206 5568 6558 6576 6612 7296 7424 7809 7946 8744 8768 8816 9728 10412 11136 11919 13116 13152 13224 14592 14848 15618 15892 17488 17536 17632 20767 20824 22272 23838 26232 26304 26448 29184 31236 31697 31784 34976 35072 35264 41534 41648 44544 47676 52464 52608 52896 62301 62472 63394 63568 69952 70144 70528 75487 83068 83296 95091 95352 104928 105216 105792 124602 124944 126788 127136 139904 141056 149741 150974 166136 166592 190182 190704 209856 210432 211584 226461 249204 249888 253576 254272 279808 282112 299482 301948 332272 333184 380364 381408 419712 423168 449223 452922 498408 499776 507152 508544 559616 598964 602243 603896 664544 666368 760728 762816 839424 846336 898446 905844 996816 999552 1014304 1017088 1194649 1197928 1204486 1207792 1329088 1332736 1521456 1525632 1678848 1796892 1806729 1811688 1993632 1999104 2028608 2034176 2389298 2395856 2408972 2415584 2658176 2845079 3042912 3051264 3583947 3593784 3613458 3623376 3987264 3998208 4057216 4342489 4778596 4791712 4817944 4831168 5316352 5690158 6085824 6102528 7167894 7187568 7226916 7246752 7974528 8114432 8535237 8684978 9557192 9583424 9635888 9662336 10632704 11380316 12171648 13027467 14335788 14375136 14453832 14493504 15949056 16228864 17070474 17369956 19114384 19166848 19271776 19324672 22698331 22760632 24343296 26054934 28671576 28750272 28907664 28987008 31898112 34140948 34644821 34739912 38228768 38333696 38543552 38649344 45396662 45521264 48686592 52109868 57343152 57500544 57815328 57974016 68094993 68281896 69289642 69479824 76457536 76667392 77087104 82507291 90793324 91042528 103934463 104219736 114686304 115001088 115630656 115948032 136189986 136563792 138579284 138959648 152915072 154174208 163666913 165014582 181586648 182085056 207868926 208439472 229372608 230002176 231261312 247521873 272379972 273127584 277158568 277919296 305830144 308348416 327333826 330029164 363173296 364170112 415737852 416878944 458745216 462522624 491000739 495043746 544759944 546255168 554317136 555838592 611660288 654667652 658251599 660058328 726346592 728340224 831475704 833757888 917490432 925045248 982001478 990087492 1089519888 1092510336 1108634272 1111677184 1309335304 1316503198 1320116656 1452693184 1456680448 1662951408 1667515776 1834980864 1964002956 1974754797 1980174984 2179039776 2185020672 2217268544 2223354368 2618670608 2633006396 2640233312 2905386368 3109671347 3325902816 3335031552 3928005912 3949509594 3960349968 4358079552 4370041344 4434537088 4746340477 5237341216 5266012792 5280466624 5810772736 6219342694 6651805632 6670063104 7856011824 7899019188 7920699936 8716159104 8869074176 9329014041 9492680954 10474682432 10532025584 10560933248 11621545472 12438685388 13303611264 14239021431 15712023648 15798038376 15841399872 17432318208 17738148352 18658028082 18985361908 20949364864 21064051168 21121866496 24877370776 26607222528 28478042862 31424047296 31596076752 31682799744 34864636416 37316056164 37970723816 41898729728 42128102336 42243732992 49754741552 53214445056 56956085724 62848094592 63192153504 63365599488 74632112328 75941447632 83797459456 84256204672 90180469063 99509483104 113912171448 125696189184 126384307008 126731198976 149264224656 151882895264 168512409344 180360938126 199018966208 227824342896 251392378368 252768614016 270541407189 298528449312 303765790528 337024818688 360721876252 398037932416 455648685792 505537228032 541082814378 597056898624 607531581056 721443752504 796075864832 911297371584 1011074456064 1082165628756 1194113797248 1215063162112 1442887505008 1592151729664 1822594743168 2164331257512 2388227594496 2430126324224 2885775010016 3645189486336 4328662515024 4776455188992 5771550020032 7290378972672 8657325030048 11543100040064 17314650060096 23086200080128 34629300120192 46172400160256 69258600240384 138517200480768
• Sum of all divisors σ(n): 405138773476800
• Sum of proper divisors (its aliquot sum) s(n): 266621572996032
• 138517200480768 is an abundant number, because the sum of its proper divisors (266621572996032) is greater than itself. Its abundance is 128104372515264

Bases of 138517200480768

• Binary: 11111011111101100001100100001111010101000000000₂
• Hexadecimal: 0x7DFB0C87AA00
• Base-36: 1D3LX8RAIO

Squares and roots of 138517200480768

• 138517200480768 squared (138517200480768²) is 19187014829029274650337869824
• 138517200480768 cubed (138517200480768³) is 2657731579700116587918527097078609799544832
• The square root of 138517200480768 is 11769333.0516545413
• The cube root of 138517200480768 is 51740.9702689953

Scales and comparisons

• 138,517,200,480,768 seconds is equal to 4,404,418 years, 26 weeks, 4 days, 21 hours, 32 minutes, 48 seconds.
• To count from 1 to 138,517,200,480,768 would take you about eleven million, eleven thousand and forty-six 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 138517200480768 cubic inches would be around 4311.7 feet tall.

Recreational maths with 138517200480768

• 138517200480768 backwards is 867084002715831
• The number of decimal digits it has is: 15
• The sum of 138517200480768's digits is 60
• More coming soon!