138237713355168

Names of 138237713355168

• Cardinal: 138237713355168 can be written as One hundred thirty-eight trillion, two hundred thirty-seven billion, seven hundred thirteen million, three hundred fifty-five thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 1.38237713355168 × 10¹⁴

Factors of 138237713355168

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1240

Divisors of 138237713355168

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 369 492 504 574 656 672 738 861 984 1008 1148 1187 1312 1476 1722 1968 2016 2296 2374 2583 2952 3444 3561 3936 4592 4748 5166 5904 6888 7122 8309 9184 9496 10332 10683 11808 13776 14244 16618 18992 20664 21366 24927 27552 28488 33236 37984 41328 42732 48667 49854 56976 66472 74781 82656 85464 97334 99708 113952 132944 146001 149562 170928 194668 199416 265888 292002 299124 340669 341856 389336 398832 438003 584004 598248 681338 778672 797664 876006 1022007 1168008 1196496 1362676 1408969 1557344 1752012 2044014 2336016 2392992 2725352 2817938 3066021 3504024 4088028 4226907 4672032 5450704 5635876 6132042 7008048 8176056 8453814 9862783 10901408 11271752 12264084 12680721 14016096 16352112 16907628 19725566 22543504 24528168 25361442 29588349 32704224 33815256 39451132 45087008 49056336 50722884 57767729 59176698 67630512 78902264 88765047 98112672 101445768 115535458 118353396 135261024 157804528 173303187 177530094 202891536 231070916 236706792 315609056 346606374 355060188 404374103 405783072 462141832 473413584 519909561 693212748 710120376 808748206 924283664 946827168 1039819122 1213122309 1386425496 1420240752 1617496412 1672446203 1848567328 2079638244 2426244618 2772850992 2840481504 3234992824 3344892406 3639366927 4159276488 4852489236 5017338609 5545701984 6469985648 6689784812 7278733854 8318552976 9704978472 10034677218 11707123421 12939971296 13379569624 14557467708 15052015827 16637105952 19409956944 20069354436 23414246842 26759139248 29114935416 30104031654 35121370263 38819913888 40138708872 46828493684 53518278496 58229870832 60208063308 68570294323 70242740526 80277417744 93656987368 105364110789 116459741664 120416126616 137140588646 140485481052 160554835488 187313974736 205710882969 210728221578 240832253232 274281177292 280970962104 374627949472 411421765938 421456443156 479992060261 481664506464 548562354584 561941924208 617132648907 822843531876 842912886312 959984120522 1097124709168 1123883848416 1234265297814 1439976180783 1645687063752 1685825772624 1919968241044 2194249418336 2468530595628 2879952361566 3291374127504 3371651545248 3839936482088 4319928542349 4937061191256 5759904723132 6582748255008 7679872964176 8639857084698 9874122382512 11519809446264 15359745928352 17279714169396 19748244765024 23039618892528 34559428338792 46079237785056 69118856677584 138237713355168
• Sum of all divisors σ(n): 460618488570240
• Sum of proper divisors (its aliquot sum) s(n): 322380775215072
• 138237713355168 is an abundant number, because the sum of its proper divisors (322380775215072) is greater than itself. Its abundance is 184143061859904

Bases of 138237713355168

• Binary: 11111011011100111111001110011001001000110100000₂
• Hexadecimal: 0x7DB9F9CC91A0
• Base-36: 1D01J1C880

Squares and roots of 138237713355168

• 138237713355168 squared (138237713355168²) is 19109665393665593227712308224
• 138237713355168 cubed (138237713355168³) is 2641676447002717933124659126336976799301632
• The square root of 138237713355168 is 11757453.5234109261
• The cube root of 138237713355168 is 51706.1474650411

Scales and comparisons

• 138,237,713,355,168 seconds is equal to 4,395,531 years, 35 weeks, 5 days, 4 hours, 52 minutes, 48 seconds.
• To count from 1 to 138,237,713,355,168 would take you about ten million, nine hundred eighty-eight thousand, eight hundred twenty-nine 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 138237713355168 cubic inches would be around 4308.8 feet tall.

Recreational maths with 138237713355168

• 138237713355168 backwards is 861553317732831
• 138237713355168 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138237713355168's digits is 63
• More coming soon!