138994337476608000
138,994,337,476,608,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138994337476608000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2048 divisors.
138994337476608000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 138994337476608000:
215 × 3 × 53 × 17 × 37 × 1093 × 16453
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 37 × 1093 × 16453)See below for interesting mathematical facts about the number 138994337476608000 from the Numbermatics database.
Names of 138994337476608000
- Cardinal: 138994337476608000 can be written as One hundred thirty-eight quadrillion, nine hundred ninety-four trillion, three hundred thirty-seven billion, four hundred seventy-six million, six hundred eight thousand.
Scientific notation
- Scientific notation: 1.38994337476608 × 1017
Factors of 138994337476608000
Divisors of 138994337476608000
- Number of divisors d(n): 2048
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 37 40 48 50 51 60 64 68 74 75 80 85 96 100 102 111 120 125 128 136 148 150 160 170 185 192 200 204 222 240 250 255 256 272 296 300 320 340 370 375 384 400 408 425 444 480 500 510 512 544 555 592 600 629 640 680 740 750 768 800 816 850 888 925 960 1000 1020 1024 1088 1093 1110 1184 1200 1258 1275 1280 1360 1480 1500 1536 1600 1632 1700 1776 1850 1887 1920 2000 2040 2048 2125 2176 2186 2220 2368 2400 2516 2550 2560 2720 2775 2960 3000 3072 3145 3200 3264 3279 3400 3552 3700 3774 3840 4000 4080 4096 4250 4352 4372 4440 4625 4736 4800 5032 5100 5120 5440 5465 5550 5920 6000 6144 6290 6375 6400 6528 6558 6800 7104 7400 7548 7680 8000 8160 8192 8500 8704 8744 8880 9250 9435 9472 9600 10064 10200 10240 10880 10930 11100 11840 12000 12288 12580 12750 12800 13056 13116 13600 13875 14208 14800 15096 15360 15725 16000 16320 16384 16395 16453 17000 17408 17488 17760 18500 18581 18870 18944 19200 20128 20400 20480 21760 21860 22200 23680 24000 24576 25160 25500 25600 26112 26232 27200 27325 27750 28416 29600 30192 30720 31450 32000 32640 32768 32790 32906 34000 34816 34976 35520 37000 37162 37740 37888 38400 40256 40441 40800 40960 43520 43720 44400 47175 47360 48000 49152 49359 50320 51000 51200 52224 52464 54400 54650 55500 55743 56832 59200 60384 61440 62900 64000 65280 65580 65812 68000 69632 69952 71040 74000 74324 75480 75776 76800 78625 80512 80882 81600 81920 81975 82265 87040 87440 88800 92905 94350 94720 96000 98304 98718 100640 102000 102400 104448 104928 108800 109300 111000 111486 113664 118400 120768 121323 122880 125800 128000 130560 131160 131624 136000 136625 139264 139904 142080 148000 148648 150960 151552 153600 157250 161024 161764 163200 163840 163950 164530 174080 174880 177600 185810 188700 189440 192000 197436 201280 202205 204000 204800 208896 209856 217600 218600 222000 222972 227328 235875 236800 241536 242646 245760 246795 251600 256000 261120 262320 263248 272000 273250 278528 278715 279701 279808 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75132074311680 78262577408000 81761374986240 85168098944000 86871460922880 90491105128000 92662891651072 93915092889600 102201718732800 108589326153600 109015166648320 110488344576000 115828614563840 117393866112000 125220123852800 127167737856000 127752148416000 135736657692000 136268958310400 138994337476608 144785768204800 150264148623360 156525154816000 163522749972480 170336197888000 173742921845760 180982210256000 185325783302144 187830185779200 204403437465600 217178652307200 220976689152000 231657229127680 234787732224000 250440247705600 255504296832000 271473315384000 272537916620800 277988674953216 289571536409600 313050309632000 327045499944960 340672395776000 347485843691520 361964420512000 370651566604288 375660371558400 408806874931200 434357304614400 463314458255360 469575464448000 511008593664000 542946630768000 545075833241600 555977349906432 579143072819200 626100619264000 681344791552000 694971687383040 723928841024000 751320743116800 817613749862400 868714609228800 926628916510720 939150928896000 1022017187328000 1085893261536000 1111954699812864 1158286145638400 1252201238528000 1362689583104000 1389943374766080 1447857682048000 1635227499724800 1737429218457600 1853257833021440 1878301857792000 2044034374656000 2171786523072000 2316572291276800 2725379166208000 2779886749532160 2895715364096000 3474858436915200 3756603715584000 4088068749312000 4343573046144000 4633144582553600 5559773499064320 5791430728192000 6949716873830400 8176137498624000 8687146092288000 9266289165107200 11582861456384000 13899433747660800 17374292184576000 23165722912768000 27798867495321600 34748584369152000 46331445825536000 69497168738304000 138994337476608000
- Sum of all divisors σ(n): 503503866737314560
- Sum of proper divisors (its aliquot sum) s(n): 364509529260706560
- 138994337476608000 is an abundant number, because the sum of its proper divisors (364509529260706560) is greater than itself. Its abundance is 225515191784098560
Bases of 138994337476608000
- Binary: 1111011011100111010011101000011110001010110000000000000002
- Hexadecimal: 0x1EDCE9D0F158000
- Base-36: 120LDP4U4KQO
Squares and roots of 138994337476608000
- 138994337476608000 squared (1389943374766080002) is 19319425850561195164947185664000000
- 138994337476608000 cubed (1389943374766080003) is 2685290796527207315663709816558733032947712000000000
-
The
square root of 138994337476608000 is 372819443.5334723795 -
The
cube root of 138994337476608000 is 518003.1124828609
Scales and comparisons
How big is 138994337476608000?- 138,994,337,476,608,000 seconds is equal to 4,419,589,994 years, 2 weeks, 1 day, 2 hours, 40 minutes.
-
To count from 1 to 138,994,337,476,608,000 would take you about thirteen billion, two hundred fifty-eight million, seven hundred sixty-nine thousand, nine hundred eighty-two 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 138994337476608000 cubic inches would be around 43166.9 feet tall.
Recreational maths with 138994337476608000
- 138994337476608000 backwards is 000806674733499831
- The number of decimal digits it has is: 18
- The sum of 138994337476608000's digits is 78
- More coming soon!
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The information we have on file for 138994337476608000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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