137218097152000

Names of 137218097152000

• Cardinal: 137218097152000 can be written as One hundred thirty-seven trillion, two hundred eighteen billion, ninety-seven million, one hundred fifty-two thousand.

Scientific notation

• Scientific notation: 1.37218097152 × 10¹⁴

Factors of 137218097152000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 2009

Divisors of 137218097152000

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 128 160 184 200 230 250 256 320 368 400 460 500 512 529 575 640 736 800 920 1000 1024 1058 1150 1280 1472 1600 1840 1979 2000 2048 2116 2300 2560 2645 2875 2944 3200 3680 3958 4000 4096 4232 4600 5120 5290 5750 5888 6400 7360 7916 8000 8192 8464 9200 9895 10240 10580 11500 11776 12800 13225 14720 15832 16000 16384 16928 18400 19790 20480 21160 23000 23552 25600 26450 29440 31664 32000 32768 33856 36800 39580 40960 42320 45517 46000 47104 49475 51200 52900 58880 63328 64000 65536 66125 67712 73600 79160 81920 84640 91034 92000 94208 98950 102400 105800 117760 126656 128000 131072 132250 135424 147200 158320 163840 169280 182068 184000 188416 197900 204800 211600 227585 235520 247375 253312 256000 262144 264500 270848 294400 316640 327680 338560 364136 368000 376832 395800 409600 423200 455170 471040 494750 506624 512000 524288 529000 541696 588800 633280 655360 677120 728272 736000 753664 791600 819200 846400 910340 942080 989500 1013248 1024000 1046891 1048576 1058000 1083392 1137925 1177600 1266560 1310720 1354240 1456544 1472000 1507328 1583200 1638400 1692800 1820680 1884160 1979000 2026496 2048000 2093782 2116000 2166784 2275850 2355200 2533120 2621440 2708480 2913088 2944000 3014656 3166400 3276800 3385600 3641360 3768320 3958000 4052992 4096000 4187564 4232000 4333568 4551700 4710400 5066240 5234455 5242880 5416960 5689625 5826176 5888000 6029312 6332800 6553600 6771200 7282720 7536640 7916000 8105984 8192000 8375128 8464000 8667136 9103400 9420800 10132480 10468910 10833920 11379250 11652352 11776000 12058624 12665600 13107200 13542400 14565440 15073280 15832000 16211968 16384000 16750256 16928000 17334272 18206800 18841600 20264960 20937820 21667840 22758500 23304704 23552000 24117248 25331200 26172275 26214400 27084800 29130880 30146560 31664000 32423936 32768000 33500512 33856000 34668544 36413600 37683200 40529920 41875640 43335680 45517000 46609408 47104000 50662400 52344550 54169600 58261760 60293120 63328000 64847872 65536000 67001024 67712000 69337088 72827200 75366400 81059840 83751280 86671360 91034000 93218816 94208000 101324800 104689100 108339200 116523520 120586240 126656000 129695744 130861375 131072000 134002048 135424000 138674176 145654400 150732800 162119680 167502560 173342720 182068000 186437632 188416000 202649600 209378200 216678400 233047040 253312000 259391488 261722750 268004096 270848000 277348352 291308800 301465600 324239360 335005120 346685440 364136000 372875264 376832000 405299200 418756400 433356800 466094080 506624000 518782976 523445500 536008192 541696000 554696704 582617600 602931200 648478720 670010240 693370880 728272000 745750528 753664000 810598400 837512800 866713600 932188160 1013248000 1037565952 1046891000 1072016384 1083392000 1165235200 1296957440 1340020480 1386741760 1456544000 1491501056 1507328000 1621196800 1675025600 1733427200 1864376320 2026496000 2075131904 2093782000 2144032768 2166784000 2330470400 2593914880 2680040960 2773483520 2913088000 2983002112 3014656000 3242393600 3350051200 3466854400 3728752640 4052992000 4187564000 4288065536 4333568000 4660940800 5187829760 5360081920 5826176000 5966004224 6484787200 6700102400 6933708800 7457505280 8105984000 8375128000 8576131072 8667136000 9321881600 10375659520 10720163840 11652352000 11932008448 12969574400 13400204800 13867417600 14915010560 16211968000 16750256000 17152262144 17334272000 18643763200 21440327680 23304704000 23864016896 25939148800 26800409600 29830021120 32423936000 33500512000 34304524288 34668544000 37287526400 42880655360 46609408000 47728033792 51878297600 53600819200 59660042240 64847872000 67001024000 68609048576 69337088000 74575052800 85761310720 93218816000 107201638400 119320084480 129695744000 134002048000 137218097152 149150105600 171522621440 186437632000 214403276800 238640168960 259391488000 268004096000 274436194304 298300211200 343045242880 372875264000 428806553600 536008192000 548872388608 596600422400 686090485760 745750528000 857613107200 1072016384000 1097744777216 1193200844800 1372180971520 1491501056000 1715226214400 2144032768000 2744361943040 2983002112000 3430452428800 4288065536000 5488723886080 5966004224000 6860904857600 8576131072000 13721809715200 17152262144000 27443619430400 34304524288000 68609048576000 137218097152000
• Sum of all divisors σ(n): 358215704486640
• Sum of proper divisors (its aliquot sum) s(n): 220997607334640
• 137218097152000 is an abundant number, because the sum of its proper divisors (220997607334640) is greater than itself. Its abundance is 83779510182640

Bases of 137218097152000

• Binary: 11111001100110010010011111100000000000000000000₂
• Hexadecimal: 0x7CCC93F00000
• Base-36: 1CN14G6EPS

Squares and roots of 137218097152000

• 137218097152000 squared (137218097152000²) is 18828806186015710511104000000
• 137218097152000 cubed (137218097152000³) is 2583652956488882348710976246775808000000000
• The square root of 137218097152000 is 11714012.8543552487
• The cube root of 137218097152000 is 51578.7085846003

Scales and comparisons

• 137,218,097,152,000 seconds is equal to 4,363,111 years, 2 weeks, 2 days, 17 hours, 46 minutes, 40 seconds.
• To count from 1 to 137,218,097,152,000 would take you about ten million, nine hundred seven thousand, seven hundred seventy-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 137218097152000 cubic inches would be around 4298.2 feet tall.

Recreational maths with 137218097152000

• 137218097152000 backwards is 000251790812731
• 137218097152000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137218097152000's digits is 46
• More coming soon!