138681651723264
138,681,651,723,264 is an even composite number composed of six prime numbers multiplied together.
138681651723264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 138681651723264:
210 × 33 × 13 × 127 × 229 × 13267
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 127 × 229 × 13267)See below for interesting mathematical facts about the number 138681651723264 from the Numbermatics database.
Names of 138681651723264
- Cardinal: 138681651723264 can be written as One hundred thirty-eight trillion, six hundred eighty-one billion, six hundred fifty-one million, seven hundred twenty-three thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.38681651723264 × 1014
Factors of 138681651723264
Divisors of 138681651723264
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 127 128 144 156 192 208 216 229 234 254 256 288 312 351 381 384 416 432 458 468 508 512 576 624 687 702 762 768 832 864 916 936 1016 1024 1143 1152 1248 1374 1404 1524 1536 1651 1664 1728 1832 1872 2032 2061 2286 2304 2496 2748 2808 2977 3048 3072 3302 3328 3429 3456 3664 3744 4064 4122 4572 4608 4953 4992 5496 5616 5954 6096 6183 6604 6656 6858 6912 7328 7488 8128 8244 8931 9144 9216 9906 9984 10992 11232 11908 12192 12366 13208 13267 13312 13716 13824 14656 14859 14976 16256 16488 17862 18288 19812 19968 21984 22464 23816 24384 24732 26416 26534 26793 27432 27648 29083 29312 29718 29952 32512 32976 35724 36576 39624 39801 39936 43968 44577 44928 47632 48768 49464 52832 53068 53586 54864 58166 58624 59436 59904 65024 65952 71448 73152 79248 79602 80379 87249 87936 89154 89856 95264 97536 98928 105664 106136 107172 109728 116332 117248 118872 119403 119808 130048 131904 142896 146304 158496 159204 160758 172471 174498 175872 178308 179712 190528 195072 197856 211328 212272 214344 219456 232664 234496 237744 238806 261747 263808 285792 292608 316992 318408 321516 344942 348996 351744 356616 358209 359424 378079 381056 390144 395712 422656 424544 428688 438912 465328 475488 477612 517413 523494 527616 571584 585216 633984 636816 643032 689884 697992 703488 713232 716418 756158 762112 785241 791424 845312 849088 857376 877824 930656 950976 955224 1034826 1046988 1055232 1134237 1143168 1170432 1267968 1273632 1286064 1379768 1395984 1426464 1432836 1512316 1524224 1552239 1570482 1582848 1684909 1690624 1698176 1714752 1755648 1861312 1901952 1910448 2069652 2093976 2110464 2268474 2286336 2535936 2547264 2572128 2759536 2791968 2852928 2865672 3024632 3038143 3048448 3104478 3140964 3165696 3369818 3396352 3402711 3429504 3511296 3722624 3803904 3820896 4139304 4187952 4536948 4572672 4656717 5054727 5071872 5094528 5144256 5519072 5583936 5705856 5731344 6049264 6076286 6208956 6281928 6331392 6739636 6792704 6805422 6859008 7445248 7607808 7641792 8278608 8375904 9073896 9114429 9145344 9313434 10109454 10189056 10208133 10288512 11038144 11167872 11411712 11462688 12098528 12152572 12417912 12563856 13479272 13585408 13610844 13718016 14890496 15164181 15215616 15283584 16557216 16751808 18147792 18228858 18626868 20218908 20378112 20416266 20577024 21903817 22076288 22335744 22823424 22925376 24197056 24305144 24835824 25127712 26958544 27221688 27343287 27436032 29780992 30328362 30567168 33114432 33503616 36295584 36457716 37253736 39495859 40437816 40756224 40832532 41154048 43807634 44152576 44671488 45492543 45646848 45850752 48394112 48610288 49671648 50255424 53917088 54443376 54686574 60656724 61134336 65711451 66228864 67007232 72591168 72915432 74507472 78991718 80875632 81665064 82029861 82308096 87615268 88305152 89342976 90985086 91701504 96788224 97220576 99343296 100510848 107834176 108886752 109373148 118487577 121313448 122268672 131422902 132457728 134014464 145182336 145830864 149014944 157983436 161751264 163330128 164059722 175230536 176610304 181970172 183403008 193576448 194441152 197134353 198686592 201021696 215668352 217773504 218746296 236975154 242626896 262845804 264915456 268028928 290364672 291661728 298029888 315966872 323502528 326660256 328119444 350461072 355462731 363940344 366806016 385844161 387152896 388882304 394268706 397373184 402043392 431336704 435547008 437492592 473950308 485253792 525691608 529830912 580729344 583323456 591403059 596059776 631933744 647005056 653320512 656238888 700922144 710925462 727880688 771688322 777764608 788537412 794746368 804086784 862673408 871094016 874985184 947900616 970507584 1051383216 1066388193 1157532483 1161458688 1166646912 1182806118 1192119552 1263867488 1294010112 1306641024 1312477776 1401844288 1421850924 1455761376 1543376644 1555529216 1577074824 1589492736 1725346816 1742188032 1749970368 1895801232 1941015168 2102766432 2132776386 2315064966 2333293824 2365612236 2384239104 2527734976 2588020224 2613282048 2624955552 2803688576 2843701848 2911522752 3086753288 3111058432 3154149648 3472597449 3484376064 3499940736 3791602464 3882030336 4205532864 4265552772 4630129932 4666587648 4731224472 4768478208 5015974093 5055469952 5176040448 5226564096 5249911104 5607377152 5687403696 5823045504 6173506576 6308299296 6945194898 6999881472 7583204928 7764060672 8411065728 8531105544 9260259864 9333175296 9462448944 10031948186 10110939904 10417792347 10453128192 10499822208 11214754304 11374807392 11646091008 12347013152 12616598592 13890389796 13999762944 15047922279 15166409856 15528121344 16822131456 17062211088 18520519728 18924897888 20063896372 20221879808 20835584694 20999644416 22429508608 22749614784 23292182016 24694026304 25233197184 27780779592 27999525888 30095844558 30332819712 33644262912 34124422176 37041039456 37849795776 40127792744 40443759616 41671169388 41999288832 45143766837 45499229568 46584364032 49388052608 50466394368 55561559184 60191689116 60665639424 67288525824 68248844352 74082078912 75699591552 80255585488 83342338776 83998577664 90287533674 90998459136 98776105216 100932788736 111123118368 120383378232 121331278848 135431300511 136497688704 148164157824 151399183104 160511170976 166684677552 180575067348 181996918272 197552210432 201865577472 222246236736 240766756464 270862601022 272995377408 296328315648 302798366208 321022341952 333369355104 361150134696 363993836544 395104420864 444492473472 481533512928 541725202044 545990754816 592656631296 605596732416 642044683904 666738710208 722300269392 888984946944 963067025856 1083450404088 1091981509632 1185313262592 1284089367808 1333477420416 1444600538784 1777969893888 1926134051712 2166900808176 2568178735616 2666954840832 2889201077568 3555939787776 3852268103424 4333801616352 5136357471232 5333909681664 5778402155136 7704536206848 8667603232704 10667819363328 11556804310272 15409072413696 17335206465408 23113608620544 34670412930816 46227217241088 69340825861632 138681651723264
- Sum of all divisors σ(n): 447763963494400
- Sum of proper divisors (its aliquot sum) s(n): 309082311771136
- 138681651723264 is an abundant number, because the sum of its proper divisors (309082311771136) is greater than itself. Its abundance is 170400660047872
Bases of 138681651723264
- Binary: 111111000100001010101101001011001111100000000002
- Hexadecimal: 0x7E2156967C00
- Base-36: 1D5PGYS5C0
Squares and roots of 138681651723264
- 138681651723264 squared (1386816517232642) is 19232600524692692780838813696
- 138681651723264 cubed (1386816517232643) is 2667208807698096488373843599683295845023744
-
The
square root of 138681651723264 is 11776317.4092440291 -
The
cube root of 138681651723264 is 51761.4382487169
Scales and comparisons
How big is 138681651723264?- 138,681,651,723,264 seconds is equal to 4,409,647 years, 28 weeks, 5 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,681,651,723,264 would take you about eleven million, twenty-four thousand, one 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 138681651723264 cubic inches would be around 4313.5 feet tall.
Recreational maths with 138681651723264
- 138681651723264 backwards is 462327156186831
- The number of decimal digits it has is: 15
- The sum of 138681651723264's digits is 63
- More coming soon!
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The information we have on file for 138681651723264 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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