137389904628959315600

Names of 137389904628959315600

• Cardinal: 137389904628959315600 can be written as One hundred thirty-seven quintillion, three hundred eighty-nine quadrillion, nine hundred four trillion, six hundred twenty-eight billion, nine hundred fifty-nine million, three hundred fifteen thousand, six hundred.

Scientific notation

• Scientific notation: 1.373899046289593156 × 10²⁰

Factors of 137389904628959315600

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 779510490

Divisors of 137389904628959315600

• Number of divisors d(n): 180
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 841 1160 1450 1682 2320 2900 3364 4205 5800 6728 8410 11600 13456 16820 21025 33640 42050 67280 84100 168200 336400 524287 1048574 2097148 2621435 4194296 5242870 8388592 10485740 13107175 15204323 20971480 26214350 30408646 41942960 52428700 60817292 76021615 104857400 121634584 152043230 209714800 243269168 304086460 380108075 440925367 608172920 760216150 778986167 881850734 1216345840 1520432300 1557972334 1763701468 2204626835 3040864600 3115944668 3527402936 3894930835 4409253670 6081729200 6231889336 7054805872 7789861670 8818507340 11023134175 12463778672 15579723340 17637014680 19474654175 22046268350 22590598843 31159446680 35274029360 38949308350 44092536700 45181197686 62318893360 77898616700 88185073400 90362395372 112952994215 155797233400 176370146800 180724790744 225905988430 311594466800 361449581488 451811976860 564764971075 655127366447 903623953720 1129529942150 1310254732894 1807247907440 2259059884300 2620509465788 3275636832235 4518119768600 5241018931576 6551273664470 9036239537200 10482037863152 13102547328940 16378184161175 26205094657880 32756368322350 52410189315760 65512736644700 131025473289400 262050946578800 408412320537929 816824641075858 1633649282151716 2042061602689645 3267298564303432 4084123205379290 6534597128606864 8168246410758580 10210308013448225 11843957295599941 16336492821517160 20420616026896450 23687914591199882 32672985643034320 40841232053792900 47375829182399764 59219786477999705 81682464107585800 94751658364799528 118439572955999410 163364928215171600 189503316729599056 236879145911998820 296098932389998525 343474761572398289 473758291823997640 592197864779997050 686949523144796578 947516583647995280 1184395729559994100 1373899046289593156 1717373807861991445 2368791459119988200 2747798092579186312 3434747615723982890 4737582918239976400 5495596185158372624 6869495231447965780 8586869039309957225 13738990462895931560 17173738078619914450 27477980925791863120 34347476157239828900 68694952314479657800 137389904628959315600
• Sum of all divisors σ(n): 341854425546598907904
• Sum of proper divisors (its aliquot sum) s(n): 204464520917639592304
• 137389904628959315600 is an abundant number, because the sum of its proper divisors (204464520917639592304) is greater than itself. Its abundance is 67074616288680276704

Bases of 137389904628959315600

• Binary: 1110111001010101010111111100101011001001101111010101000011010010000₂
• Hexadecimal: 0x772AAFE564DEA8690
• Base-36: SZTO0IZGPMAA8

Squares and roots of 137389904628959315600

• 137389904628959315600 squared (137389904628959315600²) is 18875985893954536375969225480020403360000
• 137389904628959315600 cubed (137389904628959315600³) is 2593369901747995102195819172199265480247391811341540416000000
• The square root of 137389904628959315600 is 11721343977.0770022223
• The cube root of 137389904628959315600 is 5160022.6426324401

Scales and comparisons

• 137,389,904,628,959,315,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,389,904,628,959,315,600 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 137389904628959315600 cubic inches would be around 430001.9 feet tall.

Recreational maths with 137389904628959315600

• 137389904628959315600 backwards is 006513959826409983731
• The number of decimal digits it has is: 21
• The sum of 137389904628959315600's digits is 98
• More coming soon!