138415648137216
138,415,648,137,216 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138415648137216 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 896 divisors.
138415648137216 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138415648137216:
213 × 3 × 17 × 37 × 61 × 229 × 641
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 37 × 61 × 229 × 641)See below for interesting mathematical facts about the number 138415648137216 from the Numbermatics database.
Names of 138415648137216
- Cardinal: 138415648137216 can be written as One hundred thirty-eight trillion, four hundred fifteen billion, six hundred forty-eight million, one hundred thirty-seven thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.38415648137216 × 1014
Factors of 138415648137216
Divisors of 138415648137216
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 61 64 68 74 96 102 111 122 128 136 148 183 192 204 222 229 244 256 272 296 366 384 408 444 458 488 512 544 592 629 641 687 732 768 816 888 916 976 1024 1037 1088 1184 1258 1282 1374 1464 1536 1632 1776 1832 1887 1923 1952 2048 2074 2176 2257 2368 2516 2564 2748 2928 3072 3111 3264 3552 3664 3774 3846 3893 3904 4096 4148 4352 4514 4736 5032 5128 5496 5856 6144 6222 6528 6771 7104 7328 7548 7692 7786 7808 8192 8296 8473 8704 9028 9472 10064 10256 10897 10992 11679 11712 12288 12444 13056 13542 13969 14208 14656 15096 15384 15572 15616 16592 16946 17408 18056 18944 20128 20512 21794 21984 23358 23424 23717 24576 24888 25419 26112 27084 27938 28416 29312 30192 30768 31144 31232 32691 33184 33892 34816 36112 37888 38369 39101 40256 41024 41907 43588 43968 46716 46848 47434 49776 50838 52224 54168 55876 56832 58624 60384 61536 62288 62464 65382 66368 67784 69632 71151 72224 75776 76738 78202 80512 82048 83814 87176 87936 93432 93696 94868 99552 101676 104448 108336 111752 113664 115107 117248 117303 120768 123072 124576 124928 130764 132736 135568 139264 142302 144041 144448 146789 151552 153476 156404 161024 164096 167628 174352 175872 186864 187392 189736 199104 203352 208896 216672 223504 227328 230214 234496 234606 237473 241536 246144 249152 249856 261528 265472 271136 284604 288082 288896 293578 303104 306952 312808 322048 328192 335256 348704 351744 373728 374784 379472 398208 403189 406704 417792 432123 433344 440367 447008 454656 460428 468992 469212 474946 483072 492288 498304 499712 516853 523056 530944 542272 569208 576164 577792 587156 613904 625616 644096 656384 664717 670512 697408 703488 712419 747456 749568 758944 796416 806378 813408 864246 866688 880734 894016 909312 920856 937984 938424 949892 966144 984576 996608 1033706 1046112 1061888 1084544 1138416 1152328 1155584 1174312 1209567 1227808 1251232 1288192 1312768 1329434 1341024 1394816 1406976 1424838 1446737 1494912 1499136 1517888 1550559 1592832 1612756 1626816 1728492 1733376 1761468 1788032 1841712 1875968 1876848 1899784 1932288 1969152 1993216 1994151 2067412 2092224 2123776 2169088 2276832 2304656 2311168 2348624 2419134 2455616 2495413 2502464 2576384 2625536 2658868 2682048 2789632 2813952 2849676 2893474 2989824 3035776 3101118 3185664 3225512 3253632 3456984 3466752 3522936 3576064 3683424 3753696 3799568 3864576 3938304 3986432 3988302 4134824 4184448 4247552 4338176 4340211 4553664 4609312 4622336 4697248 4838268 4911232 4990826 5004928 5152768 5251072 5317736 5364096 5431193 5579264 5627904 5699352 5786948 5979648 6071552 6202236 6371328 6451024 6507264 6913968 6933504 7045872 7152128 7366848 7486239 7507392 7599136 7729152 7876608 7972864 7976604 8269648 8368896 8495104 8676352 8680422 8786501 8954129 9107328 9218624 9244672 9394496 9676536 9822464 9981652 10009856 10635472 10728192 10862386 11158528 11398704 11573896 11959296 12143104 12404472 12742656 12902048 13014528 13827936 13867008 14091744 14304256 14733696 14972478 15014784 15198272 15458304 15753216 15945728 15953208 16293579 16539296 16737792 17352704 17360844 17573002 17908258 18214656 18437248 18489344 18788992 19353072 19644928 19963304 20019712 21270944 21456384 21724772 22317056 22797408 23147792 23918592 24286208 24594529 24808944 25485312 25804096 26029056 26359503 26862387 27655872 27734016 28183488 28608512 29467392 29944956 30029568 30396544 31891456 31906416 32587158 33078592 33475584 34705408 34721688 35146004 35816516 36429312 36874496 37577984 38706144 39289856 39926608 40039424 42541888 42912768 43449544 44634112 45594816 46295584 47837184 48572416 49189058 49617888 51608192 52058112 52719006 53724774 55311744 55468032 56366976 57217024 58934784 59889912 60059136 60793088 63812832 65174316 66157184 66951168 69410816 69443376 70292008 71633032 72858624 73748992 73783587 75155968 77412288 78579712 79853216 80078848 85083776 85825536 86899088 89268224 91189632 92330281 92591168 95674368 97144832 98378116 99235776 103216384 104116224 105438012 107449548 110623488 112733952 114434048 117869568 119779824 120118272 121586176 127625664 130348632 132314368 133902336 138886752 140584016 143266064 145717248 147497984 147567174 150311936 152220193 154824576 157159424 159706432 160157696 170167552 171651072 173798176 182379264 184660562 185182336 194289664 196756232 198471552 206432768 208232448 210876024 214899096 221246976 225467904 235739136 239559648 240236544 243172352 255251328 260697264 264628736 267804672 276990843 277773504 281168032 286532128 291434496 294995968 295134348 300623872 304440386 309649152 314318848 319412864 320315392 331302773 340335104 343302144 347596352 364758528 369321124 370364672 393512464 396943104 412865536 421752048 429798192 442493952 450935808 456660579 471478272 479119296 480473088 486344704 510502656 521394528 529257472 553981686 555547008 562336064 573064256 582868992 589991936 590268696 601247744 608880772 619298304 638825728 662605546 680670208 695192704 729517056 738642248 740729344 787024928 793886208 825731072 843504096 859596384 884987904 901871616 913321158 942956544 958238592 960946176 972689408 993908319 1021005312 1042789056 1058514944 1107963372 1111094016 1124672128 1146128512 1179983872 1180537392 1202495488 1217761544 1238596608 1277651456 1325211092 1361340416 1390385408 1459034112 1477284496 1481458688 1574049856 1587772416 1651462144 1687008192 1719192768 1769975808 1803743232 1826642316 1916477184 1945378816 1987816638 2042010624 2085578112 2117029888 2215926744 2222188032 2249344256 2292257024 2361074784 2435523088 2477193216 2555302912 2650422184 2722680832 2780770816 2918068224 2954568992 2962917376 3148099712 3175544832 3302924288 3374016384 3438385536 3539951616 3607486464 3653284632 3832954368 3975633276 4084021248 4171156224 4234059776 4431853488 4444376064 4498688512 4584514048 4722149568 4871046176 4954386432 5110605824 5300844368 5445361664 5561541632 5632147141 5836136448 5909137984 5925834752 6296199424 6351089664 6748032768 6876771072 7306569264 7665908736 7951266552 8168042496 8342312448 8863706976 8888752128 8997377024 9169028096 9444299136 9742092352 9908772864 10221211648 10601688736 11123083264 11264294282 11818275968 11851669504 12592398848 12702179328 13496065536 13753542144 14613138528 15331817472 15902533104 16336084992 16684624896 16896441423 17727413952 17777504256 17994754048 18338056192 18888598272 19484184704 20442423296 21203377472 22246166528 22528588564 23636551936 25184797696 26992131072 27507084288 29226277056 30663634944 31805066208 33369249792 33792882846 35454827904 35555008512 35989508096 36676112384 37777196544 38968369408 42406754944 44492333056 45057177128 47273103872 50369595392 53984262144 55014168576 58452554112 61327269888 63610132416 66738499584 67585765692 70909655808 71979016192 73352224768 75554393088 77936738816 84813509888 90114354256 94546207744 100739190784 107968524288 110028337152 116905108224 127220264832 133476999168 135171531384 141819311616 151108786176 155873477632 169627019776 180228708512 189092415488 201478381568 215937048576 220056674304 233810216448 254440529664 270343062768 283638623232 302217572352 311746955264 339254039552 360457417024 378184830976 467620432896 508881059328 540686125536 567277246464 604435144704 623493910528 678508079104 720914834048 756369661952 935240865792 1017762118656 1081372251072 1134554492928 1246987821056 1357016158208 1441829668096 1870481731584 2035524237312 2162744502144 2269108985856 2714032316416 2883659336192 3740963463168 4071048474624 4325489004288 5767318672384 8142096949248 8650978008576 11534637344768 17301956017152 23069274689536 34603912034304 46138549379072 69207824068608 138415648137216
- Sum of all divisors σ(n): 410359108728960
- Sum of proper divisors (its aliquot sum) s(n): 271943460591744
- 138415648137216 is an abundant number, because the sum of its proper divisors (271943460591744) is greater than itself. Its abundance is 133527812454528
Bases of 138415648137216
- Binary: 111110111100011011001111000100111100000000000002
- Hexadecimal: 0x7DE36789E000
- Base-36: 1D2B9R44QO
Squares and roots of 138415648137216
- 138415648137216 squared (1384156481372162) is 19158891649245587130764230656
- 138415648137216 cubed (1384156481372163) is 2651890405221023130388074205206649761693696
-
The
square root of 138415648137216 is 11765017.9828683645 -
The
cube root of 138415648137216 is 51728.3227389031
Scales and comparisons
How big is 138415648137216?- 138,415,648,137,216 seconds is equal to 4,401,189 years, 24 weeks, 13 hours, 13 minutes, 36 seconds.
-
To count from 1 to 138,415,648,137,216 would take you about eleven million, two thousand, nine hundred seventy-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 138415648137216 cubic inches would be around 4310.7 feet tall.
Recreational maths with 138415648137216
- 138415648137216 backwards is 612731846514831
- The number of decimal digits it has is: 15
- The sum of 138415648137216's digits is 60
- More coming soon!
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The information we have on file for 138415648137216 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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