138163517870976
138,163,517,870,976 is an even composite number composed of six prime numbers multiplied together.
What does the number 138163517870976 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138163517870976 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138163517870976:
27 × 32 × 132 × 372 × 151 × 3433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 37 × 37 × 151 × 3433)See below for interesting mathematical facts about the number 138163517870976 from the Numbermatics database.
Names of 138163517870976
- Cardinal: 138163517870976 can be written as One hundred thirty-eight trillion, one hundred sixty-three billion, five hundred seventeen million, eight hundred seventy thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 1.38163517870976 × 1014
Factors of 138163517870976
Divisors of 138163517870976
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 64 72 74 78 96 104 111 117 128 144 148 151 156 169 192 208 222 234 288 296 302 312 333 338 384 416 444 453 468 481 507 576 592 604 624 666 676 832 888 906 936 962 1014 1152 1184 1208 1248 1332 1352 1359 1369 1443 1521 1664 1776 1812 1872 1924 1963 2028 2368 2416 2496 2664 2704 2718 2738 2886 3042 3433 3552 3624 3744 3848 3926 4056 4107 4329 4736 4832 4992 5328 5408 5436 5476 5587 5772 5889 6084 6253 6866 7104 7248 7488 7696 7852 8112 8214 8658 9664 10299 10656 10816 10872 10952 11174 11544 11778 12168 12321 12506 13732 14208 14496 14976 15392 15704 16224 16428 16761 17316 17667 17797 18759 19328 20598 21312 21632 21744 21904 22348 23088 23556 24336 24642 25012 25519 27464 28992 30784 30897 31408 32448 32856 33522 34632 35334 35594 37518 41196 42624 43488 43808 44629 44696 46176 47112 48672 49284 50024 50283 51038 53391 54928 56277 57984 61568 61794 62816 64896 65712 67044 69264 70668 71188 72631 75036 76557 82392 86976 87616 89258 89392 92352 94224 97344 98568 100048 100566 102076 106782 109856 112554 123588 125632 127021 131424 133887 134088 138528 141336 142376 145262 150072 153114 160173 164784 173952 175232 178516 178784 184704 188448 194688 197136 200096 201132 204152 206719 213564 217893 219712 225108 229671 231361 247176 251264 254042 262848 267774 268176 277056 282672 284752 290524 300144 306228 320346 329568 357032 357568 376896 381063 394272 400192 401661 402264 408304 413438 427128 435786 439424 450216 459342 462722 494352 508084 518383 525696 535548 536352 554112 565344 569504 580177 581048 600288 612456 620157 640692 653679 659136 694083 714064 715136 753792 762126 788544 800384 803322 804528 816608 826876 854256 871572 900432 918684 925444 944203 988704 1016168 1036766 1071096 1072704 1130688 1139008 1143189 1160354 1162096 1200576 1224912 1240314 1281384 1307358 1318272 1388166 1428128 1524252 1555149 1577088 1606644 1609056 1633216 1651273 1653752 1708512 1740531 1743144 1800864 1837368 1850888 1860471 1888406 1977408 2032336 2073532 2082249 2142192 2145408 2261376 2278016 2286378 2320708 2324192 2401152 2449824 2480628 2562768 2614716 2687347 2776332 2832609 2856256 3048504 3110298 3213288 3218112 3266432 3302546 3307504 3417024 3481062 3486288 3601728 3674736 3701776 3720942 3776812 3954816 4064672 4147064 4164498 4284384 4572756 4641416 4648384 4665447 4699777 4899648 4953819 4961256 5125536 5221593 5229432 5374694 5552664 5665218 5712512 6097008 6220596 6426576 6436224 6605092 6615008 6738979 6834048 6962124 6972576 7203456 7349472 7403552 7441884 7553624 8062041 8129344 8294128 8328996 8497827 8568768 9145512 9282832 9296768 9330894 9399554 9799296 9907638 9922512 10251072 10443186 10458864 10749388 11105328 11330436 12194016 12441192 12853152 13210184 13230016 13477958 13924248 13945152 14099331 14698944 14807104 14861457 14883768 15107248 16124082 16258688 16588256 16657992 16995654 17137536 18291024 18565664 18661788 18799108 19180171 19815276 19845024 20216937 20502144 20886372 20917728 21466549 21498776 22210656 22660872 24186123 24388032 24882384 25706304 26420368 26460032 26955916 27848496 27890304 28198662 29397888 29614208 29722914 29767536 30214496 32248164 33176512 33315984 33991308 34935511 36582048 37131328 37323576 37598216 38360342 39630552 39690048 40433874 41772744 41835456 42297993 42933098 42997552 44421312 45321744 48372246 48776064 49764768 51412608 52840736 53911832 55696992 56397324 57540513 59445828 59535072 60428992 60650811 61097101 64399647 64496328 66353024 66631968 67982616 69871022 73164096 74262656 74647152 75196432 76720684 79261104 79380096 80867748 83545488 83670912 84595986 85866196 85995104 87606727 88842624 90643488 96744492 99529536 104806533 105681472 107823664 111393984 112794648 115081026 118891656 119070144 120857984 121301622 122194202 128799294 128992656 133263936 135965232 139742044 146328192 149294304 150392864 153441368 158522208 161735496 167090976 169191972 171732392 171990208 172621539 175213454 181286976 183291303 193198941 193488984 199059072 209613066 211362944 215647328 222787968 225589296 230162052 237783312 238140288 242603244 244388404 249342223 257598588 257985312 262820181 266527872 271930464 279484088 298588608 300785728 306882736 314419599 317044416 323470992 334181952 338383944 343464784 343980416 345243078 350426908 362573952 366582606 386397882 386977968 419226132 431294656 451178592 460324104 475566624 485206488 488776808 498684446 515197176 515970624 525640362 543860928 549873909 558968176 597177216 601571456 613765472 628839198 634088832 646941984 668363904 676767888 686929568 690486156 700853816 709666327 733165212 748026669 772795764 773955936 788460543 794262313 838452264 862589312 902357184 920648208 951133248 970412976 977553616 997368892 1030394352 1031941248 1051280724 1087721856 1099747818 1117936352 1227530944 1257678396 1293883968 1353535776 1373859136 1380972312 1401707632 1419332654 1466330424 1496053338 1545591528 1547911872 1576921086 1588524626 1676904528 1804714368 1841296416 1902266496 1940825952 1955107232 1994737784 2060788704 2102561448 2128998981 2199495636 2235872704 2244080007 2382786939 2455061888 2515356792 2587767936 2707071552 2747718272 2761944624 2803415264 2838665308 2932660848 2992106676 3091183056 3095823744 3153842172 3177049252 3241448899 3353809056 3682592832 3881651904 3910214464 3989475568 4121577408 4205122896 4257997962 4398991272 4471745408 4488160014 4765573878 5030713584 5414143104 5523889248 5606830528 5677330616 5865321696 5984213352 6182366112 6307684344 6354098504 6386996943 6482897798 6707618112 7148360817 7365185664 7763303808 7820428928 7978951136 8243154816 8410245792 8515995924 8797982544 8976320028 9225662251 9531147756 9724346697 10061427168 11047778496 11213661056 11354661232 11730643392 11968426704 12364732224 12615368688 12708197008 12773993886 12965795596 13415236224 14296721634 15957902272 16820491584 17031991848 17595965088 17952640056 18451324502 19062295512 19448693394 20122854336 22095556992 22709322464 23461286784 23936853408 24729464448 25230737376 25416394016 25547987772 25931591192 27676986753 28593443268 29173040091 31915804544 33640983168 34063983696 35191930176 35905280112 36902649004 38124591024 38897386788 40245708672 45418644928 47873706816 50461474752 50832788032 51095975544 51863182384 55353973506 57186886536 58346080182 68127967392 70383860352 71810560224 73805298008 76249182048 77794773576 83030960259 90837289856 95747413632 100922949504 101665576064 102191951088 103726364768 110707947012 114373773072 116692160364 119933609263 136255934784 143621120448 147610596016 152498364096 155589547152 166061920518 204383902176 207452729536 221415894024 228747546144 233384320728 239867218526 272511869568 287242240896 295221192032 304996728192 311179094304 332123841036 359800827789 408767804352 414905459072 442831788048 457495092288 466768641456 479734437052 590442384064 622358188608 664247682072 719601655578 817535608704 885663576096 914990184576 933537282912 959468874104 1079402483367 1180884768128 1244716377216 1328495364144 1439203311156 1771327152192 1867074565824 1918937748208 2158804966734 2656990728288 2878406622312 3542654304384 3734149131648 3837875496416 4317609933468 5313981456576 5756813244624 7675750992832 8635219866936 10627962913152 11513626489248 15351501985664 17270439733872 23027252978496 34540879467744 46054505956992 69081758935488 138163517870976
- Sum of all divisors σ(n): 445525533245520
- Sum of proper divisors (its aliquot sum) s(n): 307362015374544
- 138163517870976 is an abundant number, because the sum of its proper divisors (307362015374544) is greater than itself. Its abundance is 169198497503568
Bases of 138163517870976
- Binary: 111110110101000101100110110011101010011100000002
- Hexadecimal: 0x7DA8B3675380
- Base-36: 1CZ3FZ9I80
Squares and roots of 138163517870976
- 138163517870976 squared (1381635178709762) is 19089157670483504523783192576
- 138163517870976 cubed (1381635178709763) is 2637425176947726266698336867895039729074176
-
The
square root of 138163517870976 is 11754297.8467867659 -
The
cube root of 138163517870976 is 51696.8951678825
Scales and comparisons
How big is 138163517870976?- 138,163,517,870,976 seconds is equal to 4,393,172 years, 26 weeks, 4 hours, 9 minutes, 36 seconds.
-
To count from 1 to 138,163,517,870,976 would take you about ten million, nine hundred eighty-two thousand, nine hundred thirty-one 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 138163517870976 cubic inches would be around 4308.1 feet tall.
Recreational maths with 138163517870976
- 138163517870976 backwards is 679078715361831
- 138163517870976 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138163517870976's digits is 72
- More coming soon!
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The information we have on file for 138163517870976 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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