138122711040000

Names of 138122711040000

• Cardinal: 138122711040000 can be written as One hundred thirty-eight trillion, one hundred twenty-two billion, seven hundred eleven million, forty thousand.

Scientific notation

• Scientific notation: 1.3812271104 × 10¹⁴

Factors of 138122711040000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 141

Divisors of 138122711040000

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 131 150 160 192 200 240 250 256 262 300 320 375 384 393 400 480 500 512 524 600 625 640 655 750 768 786 800 960 1000 1024 1048 1200 1250 1280 1310 1500 1536 1572 1600 1875 1920 1965 2000 2048 2096 2400 2500 2560 2620 3000 3072 3144 3200 3275 3750 3840 3930 4000 4096 4192 4800 5000 5120 5240 6000 6144 6288 6400 6550 7500 7680 7860 8000 8192 8384 9600 9825 10000 10240 10480 12000 12288 12576 12800 13100 15000 15360 15720 16000 16375 16384 16768 17161 19200 19650 20000 20480 20960 24000 24576 25152 25600 26200 30000 30720 31440 32000 32750 32768 33536 34322 38400 39300 40000 40960 41920 48000 49125 49152 50304 51200 51483 52400 60000 61440 62880 64000 65500 67072 68644 76800 78600 80000 81875 81920 83840 85805 96000 98250 98304 100608 102400 102966 104800 120000 122880 125760 128000 131000 134144 137288 153600 157200 160000 163750 163840 167680 171610 192000 196500 201216 204800 205932 209600 240000 245625 245760 251520 256000 257415 262000 268288 274576 307200 314400 320000 327500 335360 343220 384000 393000 402432 409600 411864 419200 429025 480000 491250 491520 503040 512000 514830 524000 536576 549152 614400 628800 640000 655000 670720 686440 768000 786000 804864 819200 823728 838400 858050 960000 982500 1006080 1024000 1029660 1048000 1073152 1098304 1228800 1257600 1280000 1287075 1310000 1341440 1372880 1536000 1572000 1609728 1647456 1676800 1716100 1920000 1965000 2012160 2048000 2059320 2096000 2145125 2146304 2196608 2248091 2457600 2515200 2560000 2574150 2620000 2682880 2745760 3072000 3144000 3219456 3294912 3353600 3432200 3840000 3930000 4024320 4096000 4118640 4192000 4290250 4292608 4393216 4496182 5030400 5120000 5148300 5240000 5365760 5491520 6144000 6288000 6435375 6438912 6589824 6707200 6744273 6864400 7680000 7860000 8048640 8237280 8384000 8580500 8786432 8992364 10060800 10240000 10296600 10480000 10725625 10731520 10983040 11240455 12288000 12576000 12870750 12877824 13179648 13414400 13488546 13728800 15360000 15720000 16097280 16474560 16768000 17161000 17572864 17984728 20121600 20480000 20593200 20960000 21451250 21463040 21966080 22480910 25152000 25741500 26359296 26828800 26977092 27457600 30720000 31440000 32176875 32194560 32949120 33536000 33721365 34322000 35145728 35969456 40243200 41186400 41920000 42902500 43932160 44961820 50304000 51483000 52718592 53657600 53954184 54915200 56202275 61440000 62880000 64353750 64389120 65898240 67072000 67442730 68644000 70291456 71938912 80486400 82372800 83840000 85805000 87864320 89923640 100608000 102966000 105437184 107315200 107908368 109830400 112404550 125760000 128707500 131796480 134144000 134885460 137288000 140582912 143877824 160972800 164745600 167680000 168606825 171610000 175728640 179847280 201216000 205932000 210874368 215816736 219660800 224809100 251520000 257415000 263592960 268288000 269770920 274576000 281011375 281165824 287755648 321945600 329491200 335360000 337213650 343220000 351457280 359694560 402432000 411864000 421748736 431633472 439321600 449618200 503040000 514830000 527185920 536576000 539541840 549152000 562022750 562331648 575511296 658982400 670720000 674427300 686440000 702914560 719389120 804864000 823728000 843034125 843497472 863266944 878643200 899236400 1006080000 1029660000 1054371840 1079083680 1098304000 1124045500 1151022592 1317964800 1341440000 1348854600 1372880000 1405056875 1405829120 1438778240 1609728000 1647456000 1686068250 1686994944 1726533888 1757286400 1798472800 2012160000 2059320000 2108743680 2158167360 2196608000 2248091000 2302045184 2635929600 2682880000 2697709200 2745760000 2810113750 2811658240 2877556480 3294912000 3372136500 3453067776 3514572800 3596945600 4024320000 4118640000 4215170625 4217487360 4316334720 4393216000 4496182000 4604090368 5271859200 5395418400 5491520000 5620227500 5755112960 6589824000 6744273000 6906135552 7029145600 7193891200 8048640000 8237280000 8430341250 8434974720 8632669440 8786432000 8992364000 9208180736 10543718400 10790836800 10983040000 11240455000 11510225920 13179648000 13488546000 13812271104 14058291200 14387782400 16474560000 16860682500 17265338880 17572864000 17984728000 18416361472 21087436800 21581673600 21966080000 22480910000 23020451840 26359296000 26977092000 27624542208 28775564800 32949120000 33721365000 34530677760 35145728000 35969456000 36832722944 42174873600 43163347200 43932160000 44961820000 46040903680 52718592000 53954184000 55249084416 57551129600 65898240000 67442730000 69061355520 70291456000 71938912000 73665445888 86326694400 87864320000 89923640000 92081807360 105437184000 107908368000 110498168832 115102259200 131796480000 134885460000 138122711040 143877824000 172653388800 175728640000 179847280000 184163614720 210874368000 215816736000 220996337664 230204518400 263592960000 269770920000 276245422080 287755648000 345306777600 351457280000 359694560000 368327229440 431633472000 460409036800 527185920000 539541840000 552490844160 575511296000 690613555200 719389120000 863266944000 920818073600 1054371840000 1079083680000 1104981688320 1151022592000 1381227110400 1438778240000 1726533888000 1841636147200 2158167360000 2302045184000 2762454220800 2877556480000 3453067776000 4316334720000 4604090368000 5524908441600 5755112960000 6906135552000 8632669440000 9208180736000 11510225920000 13812271104000 17265338880000 23020451840000 27624542208000 34530677760000 46040903680000 69061355520000 138122711040000
• Sum of all divisors σ(n): 463795101934560
• Sum of proper divisors (its aliquot sum) s(n): 325672390894560
• 138122711040000 is an abundant number, because the sum of its proper divisors (325672390894560) is greater than itself. Its abundance is 187549679854560

Bases of 138122711040000

• Binary: 11111011001111100110011001000001000000000000000₂
• Hexadecimal: 0x7D9F33208000
• Base-36: 1CYKP3XHXC

Squares and roots of 138122711040000

• 138122711040000 squared (138122711040000²) is 19077883305039337881600000000
• 138122711040000 cubed (138122711040000³) is 2635088962996788642053162532864000000000000
• The square root of 138122711040000 is 11752561.8926257947
• The cube root of 138122711040000 is 51691.8050779667

Scales and comparisons

• 138,122,711,040,000 seconds is equal to 4,391,874 years, 50 weeks, 2 days, 21 hours, 20 minutes.
• To count from 1 to 138,122,711,040,000 would take you about ten million, nine hundred seventy-nine thousand, six hundred eighty-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 138122711040000 cubic inches would be around 4307.7 feet tall.

Recreational maths with 138122711040000

• 138122711040000 backwards is 000040117221831
• 138122711040000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138122711040000's digits is 30
• More coming soon!