138378159740420096
138,378,159,740,420,096 is an even composite number composed of four prime numbers multiplied together.
138378159740420096 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of five hundred sixty divisors.
Prime factorization of 138378159740420096:
234 × 73 × 23 × 1021
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 23 × 1021)See below for interesting mathematical facts about the number 138378159740420096 from the Numbermatics database.
Names of 138378159740420096
- Cardinal: 138378159740420096 can be written as One hundred thirty-eight quadrillion, three hundred seventy-eight trillion, one hundred fifty-nine billion, seven hundred forty million, four hundred twenty thousand and ninety-six.
Scientific notation
- Scientific notation: 1.38378159740420096 × 1017
Factors of 138378159740420096
Divisors of 138378159740420096
- Number of divisors d(n): 560
-
Complete list of divisors:
1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 128 161 184 196 224 256 322 343 368 392 448 512 644 686 736 784 896 1021 1024 1127 1288 1372 1472 1568 1792 2042 2048 2254 2576 2744 2944 3136 3584 4084 4096 4508 5152 5488 5888 6272 7147 7168 7889 8168 8192 9016 10304 10976 11776 12544 14294 14336 15778 16336 16384 18032 20608 21952 23483 23552 25088 28588 28672 31556 32672 32768 36064 41216 43904 46966 47104 50029 50176 57176 57344 63112 65344 65536 72128 82432 87808 93932 94208 100058 100352 114352 114688 126224 130688 131072 144256 164381 164864 175616 187864 188416 200116 200704 228704 229376 252448 261376 262144 288512 328762 329728 350203 351232 375728 376832 400232 401408 457408 458752 504896 522752 524288 577024 657524 659456 700406 702464 751456 753664 800464 802816 914816 917504 1009792 1045504 1048576 1150667 1154048 1315048 1318912 1400812 1404928 1502912 1507328 1600928 1605632 1829632 1835008 2019584 2091008 2097152 2301334 2308096 2630096 2637824 2801624 2809856 3005824 3014656 3201856 3211264 3659264 3670016 4039168 4182016 4194304 4602668 4616192 5260192 5275648 5603248 5619712 6011648 6029312 6403712 6422528 7318528 7340032 8054669 8078336 8364032 8388608 9205336 9232384 10520384 10551296 11206496 11239424 12023296 12058624 12807424 12845056 14637056 14680064 16109338 16156672 16728064 16777216 18410672 18464768 21040768 21102592 22412992 22478848 24046592 24117248 25614848 25690112 29274112 29360128 32218676 32313344 33456128 33554432 36821344 36929536 42081536 42205184 44825984 44957696 48093184 48234496 51229696 51380224 58548224 58720256 64437352 64626688 66912256 67108864 73642688 73859072 84163072 84410368 89651968 89915392 96186368 96468992 102459392 102760448 117096448 117440512 128874704 129253376 133824512 134217728 147285376 147718144 168326144 168820736 179303936 179830784 192372736 192937984 204918784 205520896 234192896 234881024 257749408 258506752 267649024 268435456 294570752 295436288 336652288 337641472 358607872 359661568 384745472 385875968 409837568 411041792 468385792 469762048 515498816 517013504 535298048 536870912 589141504 590872576 673304576 675282944 717215744 719323136 769490944 771751936 819675136 822083584 936771584 939524096 1030997632 1034027008 1070596096 1073741824 1178283008 1181745152 1346609152 1350565888 1434431488 1438646272 1538981888 1543503872 1639350272 1644167168 1873543168 1879048192 2061995264 2068054016 2141192192 2147483648 2356566016 2363490304 2693218304 2701131776 2868862976 2877292544 3077963776 3087007744 3278700544 3288334336 3747086336 3758096384 4123990528 4136108032 4282384384 4294967296 4713132032 4726980608 5386436608 5402263552 5737725952 5754585088 6155927552 6174015488 6557401088 6576668672 7494172672 7516192768 8247981056 8272216064 8564768768 8589934592 9426264064 9453961216 10772873216 10804527104 11475451904 11509170176 12311855104 12348030976 13114802176 13153337344 14988345344 15032385536 16495962112 16544432128 17129537536 17179869184 18852528128 18907922432 21545746432 21609054208 22950903808 23018340352 24623710208 24696061952 26229604352 26306674688 29976690688 30064771072 32991924224 33088864256 34259075072 37705056256 37815844864 43091492864 43218108416 45901807616 46036680704 49247420416 49392123904 52459208704 52613349376 59953381376 60129542144 65983848448 66177728512 68518150144 75410112512 75631689728 86182985728 86436216832 91803615232 92073361408 98494840832 98784247808 104918417408 105226698752 119906762752 120259084288 131967696896 132355457024 137036300288 150820225024 151263379456 172365971456 172872433664 183607230464 184146722816 196989681664 197568495616 209836834816 210453397504 239813525504 263935393792 264710914048 274072600576 301640450048 302526758912 344731942912 345744867328 367214460928 368293445632 393979363328 395136991232 419673669632 420906795008 479627051008 527870787584 529421828096 548145201152 603280900096 605053517824 689463885824 691489734656 734428921856 736586891264 787958726656 839347339264 841813590016 959254102016 1055741575168 1058843656192 1096290402304 1206561800192 1210107035648 1378927771648 1382979469312 1468857843712 1473173782528 1575917453312 1678694678528 1918508204032 2111483150336 2117687312384 2192580804608 2413123600384 2420214071296 2757855543296 2765958938624 2937715687424 2946347565056 3151834906624 3357389357056 3837016408064 4222966300672 4235374624768 4385161609216 4826247200768 4840428142592 5515711086592 5875431374848 5892695130112 6303669813248 6714778714112 7674032816128 8445932601344 8470749249536 8770323218432 9652494401536 9680856285184 11031422173184 11750862749696 12607339626496 13429557428224 15348065632256 16891865202688 16941498499072 17540646436864 19304988803072 19361712570368 22062844346368 23501725499392 25214679252992 26859114856448 30696131264512 33783730405376 33882996998144 38609977606144 44125688692736 47003450998784 50429358505984 53718229712896 61392262529024 67567460810752 67765993996288 77219955212288 88251377385472 94006901997568 100858717011968 107436459425792 122784525058048 135134921621504 135531987992576 154439910424576 176502754770944 188013803995136 201717434023936 214872918851584 270269843243008 308879820849152 353005509541888 376027607990272 403434868047872 429745837703168 540539686486016 617759641698304 706011019083776 752055215980544 859491675406336 1081079372972032 1235519283396608 1412022038167552 1504110431961088 2162158745944064 2471038566793216 2824044076335104 3008220863922176 4324317491888128 4942077133586432 6016441727844352 8648634983776256 9884154267172864 17297269967552512 19768308534345728 34594539935105024 69189079870210048 138378159740420096
- Sum of all divisors σ(n): 337110265066310400
- Sum of proper divisors (its aliquot sum) s(n): 198732105325890304
- 138378159740420096 is an abundant number, because the sum of its proper divisors (198732105325890304) is greater than itself. Its abundance is 60353945585470208
Bases of 138378159740420096
- Binary: 1111010111001111000110100000000000000000000000000000000002
- Hexadecimal: 0x1EB9E3400000000
- Base-36: 11UIYOZN8L4W
Squares and roots of 138378159740420096
- 138378159740420096 squared (1383781597404200962) is 19148515093145221090388446560649216
- 138378159740420096 cubed (1383781597404200963) is 2649736280351094597659959371619158634600106333044736
-
The
square root of 138378159740420096 is 371992150.1059129823 -
The
cube root of 138378159740420096 is 517236.5229638093
Scales and comparisons
How big is 138378159740420096?- 138,378,159,740,420,096 seconds is equal to 4,399,997,447 years, 51 weeks, 4 days, 16 hours, 14 minutes, 56 seconds.
-
To count from 1 to 138,378,159,740,420,096 would take you about thirteen billion, one hundred ninety-nine million, nine hundred ninety-two thousand, three hundred forty-three 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 138378159740420096 cubic inches would be around 43103 feet tall.
Recreational maths with 138378159740420096
- 138378159740420096 backwards is 690024047951873831
- The number of decimal digits it has is: 18
- The sum of 138378159740420096's digits is 77
- More coming soon!
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