137713218208000

Names of 137713218208000

• Cardinal: 137713218208000 can be written as One hundred thirty-seven trillion, seven hundred thirteen billion, two hundred eighteen million, two hundred eight thousand.

Scientific notation

• Scientific notation: 1.37713218208 × 10¹⁴

Factors of 137713218208000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 457

Divisors of 137713218208000

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 125 128 160 200 206 250 256 320 347 400 412 500 515 640 694 800 824 1000 1030 1280 1388 1600 1648 1735 2000 2060 2575 2776 3200 3296 3470 4000 4120 5150 5552 6400 6592 6940 8000 8240 8675 10300 11104 12875 13184 13880 16000 16480 17350 20600 22208 25750 26368 27760 32000 32960 34700 35741 41200 43375 44416 51500 55520 65920 69400 71482 82400 86750 88832 103000 111040 120409 131840 138800 142964 164800 173500 178705 206000 222080 240818 277600 285928 329600 347000 357410 412000 444160 481636 555200 571856 602045 659200 694000 714820 824000 893525 963272 1110400 1143712 1204090 1388000 1429640 1648000 1787050 1926544 2220800 2287424 2408180 2776000 2859280 3010225 3296000 3574100 3853088 4467625 4574848 4816360 5552000 5718560 6020450 7148200 7706176 8935250 9149696 9632720 11104000 11437120 12040900 12402127 14296400 15051125 15412352 17870500 19265440 22874240 24081800 24804254 28592800 30102250 30824704 35741000 38530880 41781923 45748480 48163600 49608508 57185600 60204500 62010635 71482000 77061760 83563846 96327200 99217016 114371200 120409000 124021270 142964000 154123520 167127692 192654400 198434032 208909615 228742400 240818000 248042540 285928000 310053175 334255384 385308800 396868064 417819230 481636000 496085080 571856000 620106350 668510768 770617600 793736128 835638460 963272000 992170160 1044548075 1143712000 1240212700 1337021536 1550265875 1587472256 1671276920 1926544000 1984340320 2089096150 2480425400 2674043072 3100531750 3174944512 3342553840 3853088000 3968680640 4178192300 4303538069 4960850800 5222740375 5348086144 6201063500 6685107680 7937361280 8356384600 8607076138 9921701600 10445480750 10696172288 12402127000 13370215360 15874722560 16712769200 17214152276 19843403200 20890961500 21517690345 24804254000 26740430720 33425538400 34428304552 39686806400 41781923000 43035380690 49608508000 53480861440 66851076800 68856609104 79373612800 83563846000 86070761380 99217016000 107588451725 133702153600 137713218208 167127692000 172141522760 198434032000 215176903450 267404307200 275426436416 334255384000 344283045520 396868064000 430353806900 537942258625 550852872832 668510768000 688566091040 860707613800 1075884517250 1101705745664 1337021536000 1377132182080 1721415227600 2151769034500 2754264364160 3442830455200 4303538069000 5508528728320 6885660910400 8607076138000 13771321820800 17214152276000 27542643641600 34428304552000 68856609104000 137713218208000
• Sum of all divisors σ(n): 347392660043520
• Sum of proper divisors (its aliquot sum) s(n): 209679441835520
• 137713218208000 is an abundant number, because the sum of its proper divisors (209679441835520) is greater than itself. Its abundance is 71966223627520

Bases of 137713218208000

• Binary: 11111010011111111011011011100111100000100000000₂
• Hexadecimal: 0x7D3FDB73C100
• Base-36: 1CTCKUGYKG

Squares and roots of 137713218208000

• 137713218208000 squared (137713218208000²) is 18964930469204222731264000000
• 137713218208000 cubed (137713218208000³) is 2611721608005068949105592975654912000000000
• The square root of 137713218208000 is 11735127.5326687439
• The cube root of 137713218208000 is 51640.6708935143

Scales and comparisons

• 137,713,218,208,000 seconds is equal to 4,378,854 years, 18 weeks, 6 days, 12 hours, 26 minutes, 40 seconds.
• To count from 1 to 137,713,218,208,000 would take you about ten million, nine hundred forty-seven thousand, one hundred thirty-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 137713218208000 cubic inches would be around 4303.4 feet tall.

Recreational maths with 137713218208000

• 137713218208000 backwards is 000802812317731
• The number of decimal digits it has is: 15
• The sum of 137713218208000's digits is 43
• More coming soon!