138286643761728
138,286,643,761,728 is an even composite number composed of seven prime numbers multiplied together.
138286643761728 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138286643761728:
26 × 32 × 7 × 11 × 19 × 313 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 19 × 313 × 524287)See below for interesting mathematical facts about the number 138286643761728 from the Numbermatics database.
Names of 138286643761728
- Cardinal: 138286643761728 can be written as One hundred thirty-eight trillion, two hundred eighty-six billion, six hundred forty-three million, seven hundred sixty-one thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38286643761728 × 1014
Factors of 138286643761728
Divisors of 138286643761728
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 28 32 33 36 38 42 44 48 56 57 63 64 66 72 76 77 84 88 96 99 112 114 126 132 133 144 152 154 168 171 176 192 198 209 224 228 231 252 264 266 288 304 308 313 336 342 352 396 399 418 448 456 462 504 528 532 576 608 616 626 627 672 684 693 704 792 798 836 912 924 939 1008 1056 1064 1197 1216 1232 1252 1254 1344 1368 1386 1463 1584 1596 1672 1824 1848 1878 1881 2016 2112 2128 2191 2394 2464 2504 2508 2736 2772 2817 2926 3168 3192 3344 3443 3648 3696 3756 3762 4032 4256 4382 4389 4788 4928 5008 5016 5472 5544 5634 5852 5947 6336 6384 6573 6688 6886 7392 7512 7524 8512 8764 8778 9576 10016 10032 10329 10944 11088 11268 11704 11894 12768 13146 13167 13376 13772 14784 15024 15048 17528 17556 17841 19152 19719 20032 20064 20658 22176 22536 23408 23788 24101 25536 26292 26334 27544 30048 30096 30987 35056 35112 35682 38304 39438 40128 41316 41629 44352 45072 46816 47576 48202 52584 52668 53523 55088 60096 60192 61974 65417 70112 70224 71364 72303 76608 78876 82632 83258 90144 93632 95152 96404 105168 105336 107046 110176 120384 123948 124887 130834 140224 140448 142728 144606 157752 165264 166516 180288 190304 192808 196251 210336 210672 214092 216909 220352 247896 249774 261668 280896 285456 289212 315504 330528 333032 374661 380608 385616 392502 420672 421344 428184 433818 457919 495792 499548 523336 524287 570912 578424 588753 631008 661056 666064 749322 771232 785004 842688 856368 867636 915838 991584 999096 1046672 1048574 1141824 1156848 1177506 1262016 1332128 1373757 1498644 1542464 1570008 1572861 1712736 1735272 1831676 1983168 1998192 2093344 2097148 2313696 2355012 2664256 2747514 2997288 3140016 3145722 3425472 3470544 3663352 3670009 3996384 4121271 4186688 4194296 4627392 4710024 4718583 5495028 5767157 5994576 6280032 6291444 6941088 7326704 7340018 7992768 8242542 8388592 9420048 9437166 9961453 10990056 11010027 11534314 11989152 12560064 12582888 13882176 14653408 14680036 16485084 16777184 17301471 18840096 18874332 19922906 21980112 22020054 23068628 23978304 25165776 29306816 29360072 29884359 32970168 33030081 33554368 34602942 37680192 37748664 39845812 40370099 43960224 44040108 46137256 50331552 51904413 58720144 59768718 65940336 66060162 69205884 69730171 75497328 79691624 80740198 87920448 88080216 89653077 92274512 100663104 103808826 109575983 117440288 119537436 121110297 131880672 132120324 138411768 139460342 150994656 159383248 161480396 164101831 176160432 179306154 184549024 207617652 209190513 219151966 234880576 239074872 242220594 263761344 264240648 276823536 278920684 301989312 318766496 322960792 328203662 328727949 352320864 358612308 363330891 369098048 415235304 418381026 438303932 478149744 484441188 492305493 528481296 553647072 557841368 627571539 637532992 645921584 656407324 657455898 704641728 717224616 726661782 767031881 830470608 836762052 876607864 956299488 968882376 984610986 986183847 1056962592 1107294144 1115682736 1148712817 1255143078 1291843168 1312814648 1314911796 1434449232 1453323564 1476916479 1534063762 1660941216 1673524104 1753215728 1805120141 1912598976 1937764752 1969221972 1972367694 2113925184 2231365472 2297425634 2301095643 2510286156 2583686336 2625629296 2629823592 2868898464 2906647128 2953832958 3068127524 3117934789 3321882432 3347048208 3446138451 3506431456 3610240282 3875529504 3938443944 3944735388 4462730944 4594851268 4602191286 5020572312 5251258592 5259647184 5415360423 5737796928 5813294256 5907665916 6136255048 6235869578 6694096416 6892276902 6903286929 7012862912 7220480564 7751059008 7876887888 7889470776 9189702536 9204382572 9353804367 10041144624 10338415353 10502517184 10519294368 10830720846 11626588512 11815331832 12272510096 12471739156 12635840987 13388192832 13784553804 13806573858 14440961128 15753775776 15778941552 16246081269 18379405072 18408765144 18707608734 20082289248 20676830706 21038588736 21661441692 21825543523 23253177024 23630663664 24545020192 24943478312 25271681974 27569107608 27613147716 28061413101 28881922256 31507551552 31557883104 32492162538 34297282679 36758810144 36817530288 37415217468 37907522961 40164578496 41353661412 43322883384 43651087046 47261327328 49090040384 49886956624 50543363948 55138215216 55226295432 56122826202 57763844512 63115766208 64984325076 65476630569 68594565358 73517620288 73635060576 74830434936 75815045922 82707322824 86645766768 87302174092 94522654656 99773913248 101086727896 102891848037 110276430432 110452590864 112245652404 113722568883 115527689024 129968650152 130953261138 137189130716 147270121152 149660869872 151630091844 165414645648 173291533536 174604348184 196429891707 199547826496 202173455792 205783696074 220552860864 220905181728 224491304808 227445137766 240080978753 259937300304 261906522276 274378261432 299321739744 303260183688 308675544111 330829291296 346583067072 349208696368 392859783414 404346911584 411567392148 441810363456 448982609616 454890275532 480161957506 519874600608 523813044552 548756522864 598643479488 606520367376 617351088222 661658582592 698417392736 720242936259 785719566828 808693823168 823134784296 897965219232 909780551064 960323915012 1039749201216 1047626089104 1097513045728 1213040734752 1234702176444 1396834785472 1440485872518 1571439133656 1646269568592 1795930438464 1819561102128 1920647830024 2095252178208 2160728808777 2195026091456 2426081469504 2469404352888 2880971745036 3142878267312 3292539137184 3639122204256 3841295660048 4190504356416 4321457617554 4938808705776 5761943490072 6285756534624 6585078274368 7278244408512 7682591320096 8642915235108 9877617411552 11523886980144 12571513069248 15365182640192 17285830470216 19755234823104 23047773960288 34571660940432 46095547920576 69143321880864 138286643761728
- Sum of all divisors σ(n): 521852619325440
- Sum of proper divisors (its aliquot sum) s(n): 383565975563712
- 138286643761728 is an abundant number, because the sum of its proper divisors (383565975563712) is greater than itself. Its abundance is 245279331801984
Bases of 138286643761728
- Binary: 111110111000101010111100100011101010010010000002
- Hexadecimal: 0x7DC55E475240
- Base-36: 1D0O098NK0
Squares and roots of 138286643761728
- 138286643761728 squared (1382866437617282) is 19123195842883065578437545984
- 138286643761728 cubed (1382866437617283) is 2644482571110528303398613196217566739300352
-
The
square root of 138286643761728 is 11759534.1643165441 -
The
cube root of 138286643761728 is 51712.2473546421
Scales and comparisons
How big is 138286643761728?- 138,286,643,761,728 seconds is equal to 4,397,087 years, 27 weeks, 1 day, 8 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,286,643,761,728 would take you about ten million, nine hundred ninety-two thousand, seven hundred eighteen 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 138286643761728 cubic inches would be around 4309.4 feet tall.
Recreational maths with 138286643761728
- 138286643761728 backwards is 827167346682831
- 138286643761728 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138286643761728's digits is 72
- More coming soon!
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The information we have on file for 138286643761728 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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