138435568128
138,435,568,128 is an even composite number composed of six prime numbers multiplied together.
138435568128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138435568128:
29 × 35 × 11 × 13 × 31 × 251
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 31 × 251)See below for interesting mathematical facts about the number 138435568128 from the Numbermatics database.
Names of 138435568128
- Cardinal: 138435568128 can be written as One hundred thirty-eight billion, four hundred thirty-five million, five hundred sixty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38435568128 × 1011
Factors of 138435568128
Divisors of 138435568128
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 31 32 33 36 39 44 48 52 54 62 64 66 72 78 81 88 93 96 99 104 108 117 124 128 132 143 144 156 162 176 186 192 198 208 216 234 243 248 251 256 264 279 286 288 297 312 324 341 351 352 372 384 396 403 416 429 432 468 486 496 502 512 528 558 572 576 594 624 648 682 702 704 744 753 768 792 806 832 837 858 864 891 936 972 992 1004 1023 1053 1056 1116 1144 1152 1188 1209 1248 1287 1296 1364 1404 1408 1488 1506 1536 1584 1612 1664 1674 1716 1728 1782 1872 1944 1984 2008 2046 2106 2112 2232 2259 2288 2304 2376 2418 2496 2511 2574 2592 2673 2728 2761 2808 2816 2976 3012 3069 3159 3168 3224 3263 3328 3348 3432 3456 3564 3627 3744 3861 3888 3968 4016 4092 4212 4224 4433 4464 4518 4576 4608 4752 4836 4992 5022 5148 5184 5346 5456 5522 5616 5632 5952 6024 6138 6318 6336 6448 6526 6656 6696 6777 6864 6912 7128 7254 7488 7533 7722 7776 7781 7936 8032 8184 8283 8424 8448 8866 8928 9036 9152 9207 9504 9672 9789 9984 10044 10296 10368 10692 10881 10912 11044 11232 11583 11904 12048 12276 12636 12672 12896 13052 13299 13392 13554 13728 13824 14256 14508 14976 15066 15444 15552 15562 15872 16064 16368 16566 16848 16896 17732 17856 18072 18304 18414 19008 19344 19578 19968 20088 20331 20592 20736 21384 21762 21824 22088 22464 23166 23343 23808 24096 24552 24849 25272 25344 25792 26104 26598 26784 27108 27456 27621 28512 29016 29367 29952 30132 30888 31104 31124 32128 32643 32736 33132 33696 34749 35464 35712 35893 36144 36608 36828 38016 38688 39156 39897 40176 40662 41184 41472 42768 43524 43648 44176 44928 46332 46686 47616 48192 49104 49698 50544 50688 51584 52208 53196 53568 54216 54912 55242 57024 58032 58734 59904 60264 60993 61776 62208 62248 64256 65286 65472 66264 67392 69498 70029 70928 71424 71786 72288 73216 73656 74547 76032 77376 78312 79794 80352 81324 82368 82863 85536 85591 87048 87296 88101 88352 89856 92664 93372 96384 97929 98208 99396 101088 101153 103168 104416 106392 107136 107679 108432 109824 110484 114048 116064 117468 119691 120528 121986 123552 124416 124496 128512 130572 130944 132528 134784 138996 140058 141856 142848 143572 144576 147312 149094 152064 154752 156624 159588 160704 162648 164736 165726 171072 171182 174096 174592 176202 176704 179712 185328 186744 192768 195858 196416 198792 202176 202306 206336 208832 210087 212784 214272 215358 216864 219648 220968 223641 228096 232128 234936 239382 241056 243972 247104 248992 256773 261144 261888 264303 265056 269568 277992 280116 283712 287144 289152 294624 298188 303459 309504 313248 319176 321408 323037 325296 329472 331452 342144 342364 348192 352404 353408 359073 370656 373488 385536 391716 392832 397584 404352 404612 417664 420174 425568 428544 430716 433728 441936 447282 456192 464256 469872 478764 482112 487944 494208 497984 513546 522288 523776 528606 530112 539136 555984 560232 567424 574288 578304 589248 596376 606918 619008 626496 630261 638352 642816 646074 650592 658944 662904 670923 684288 684728 696384 704808 706816 718146 741312 746976 770319 783432 785664 792909 795168 808704 809224 835328 840348 851136 861432 867456 883872 894564 910377 928512 939744 957528 964224 969111 975888 988416 995968 1027092 1044576 1057212 1060224 1077219 1111968 1112683 1120464 1134848 1148576 1156608 1178496 1192752 1213836 1252992 1260522 1276704 1285632 1292148 1301184 1325808 1341846 1368576 1369456 1392768 1409616 1413632 1436292 1482624 1493952 1540638 1566864 1571328 1585818 1590336 1617408 1618448 1670656 1680696 1702272 1722864 1734912 1767744 1789128 1820754 1857024 1879488 1890783 1915056 1928448 1938222 1951776 1976832 1991936 2054184 2089152 2114424 2120448 2154438 2223936 2225366 2240928 2269696 2297152 2310957 2356992 2385504 2427672 2505984 2521044 2553408 2584296 2602368 2651616 2683692 2731131 2738912 2785536 2819232 2872584 2907333 2965248 2987904 3081276 3133728 3171636 3180672 3236896 3338049 3361392 3404544 3445728 3469824 3535488 3578256 3641508 3758976 3781566 3830112 3856896 3876444 3903552 3983872 4108368 4178304 4228848 4240896 4308876 4447872 4450732 4481856 4594304 4621914 4713984 4771008 4855344 5011968 5042088 5106816 5168592 5204736 5303232 5367384 5462262 5477824 5571072 5638464 5745168 5814666 5930496 5975808 6162552 6267456 6343272 6361344 6473792 6676098 6722784 6809088 6891456 6932871 7070976 7156512 7283016 7517952 7563132 7660224 7752888 7807104 8193393 8216736 8356608 8457696 8617752 8721999 8895744 8901464 8963712 9188608 9243828 9542016 9710688 10014147 10084176 10213632 10337184 10409472 10606464 10734768 10924524 10955648 11276928 11490336 11629332 11951616 12325104 12534912 12686544 12722688 12947584 13352196 13445568 13782912 13865742 14141952 14313024 14566032 15035904 15126264 15320448 15505776 15614208 16386786 16433472 16713216 16915392 17235504 17443998 17791488 17802928 17927424 18377216 18487656 19084032 19421376 20028294 20168352 20427264 20674368 20798613 21212928 21469536 21849048 21911296 22553856 22980672 23258664 24580179 24650208 25069824 25373088 25895168 26704392 26891136 27565824 27731484 28626048 29132064 30042441 30252528 30640896 31011552 31228416 32773572 32866944 33830784 34471008 34887996 35605856 35854848 36975312 38168064 38842752 40056588 40336704 41348736 41597226 42425856 42939072 43698096 43822592 45107712 45961344 46517328 49160358 49300416 50139648 50746176 51790336 53408784 53782272 55131648 55462968 57252096 58264128 60084882 60505056 61281792 62023104 65547144 65733888 67661568 68942016 69775992 71211712 73950624 77685504 80113176 80673408 82697472 83194452 85878144 87396192 90127323 91922688 93034656 98320716 98600832 101492352 106817568 107564544 110925936 114504192 116528256 120169764 121010112 124046208 131094288 131467776 135323136 137884032 139551984 142423424 147901248 155371008 160226352 161346816 165394944 166388904 171756288 174792384 180254646 183845376 186069312 196641432 197201664 202984704 213635136 221851872 233056512 240339528 242020224 248092416 262188576 270381969 275768064 279103968 284846848 295802496 320452704 322693632 332777808 343512576 349584768 360509292 372138624 393282864 394403328 405969408 427270272 443703744 466113024 480679056 484040448 496184832 524377152 540763938 551536128 558207936 569693696 591604992 640905408 665555616 699169536 721018584 744277248 786565728 854540544 887407488 961358112 968080896 1048754304 1081527876 1116415872 1183209984 1281810816 1331111232 1398339072 1442037168 1488554496 1573131456 1709081088 1774814976 1922716224 2097508608 2163055752 2232831744 2563621632 2662222464 2884074336 3146262912 3549629952 3845432448 4195017216 4326111504 4465663488 5127243264 5324444928 5768148672 6292525824 7690864896 8652223008 10648889856 11536297344 12585051648 15381729792 17304446016 23072594688 34608892032 46145189376 69217784064 138435568128
- Sum of all divisors σ(n): 504471711744
- Sum of proper divisors (its aliquot sum) s(n): 366036143616
- 138435568128 is an abundant number, because the sum of its proper divisors (366036143616) is greater than itself. Its abundance is 227600575488
Bases of 138435568128
- Binary: 100000001110110110011100100010000000002
- Hexadecimal: 0x203B672200
- Base-36: 1RLGYO00
Squares and roots of 138435568128
- 138435568128 squared (1384355681282) is 19164406522922129424384
- 138435568128 cubed (1384355681283) is 2653035504836674041568144656433152
-
The
square root of 138435568128 is 372069.3055440075 -
The
cube root of 138435568128 is 5173.0804101617
Scales and comparisons
How big is 138435568128?- 138,435,568,128 seconds is equal to 4,401 years, 42 weeks, 5 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,435,568,128 would take you about eight thousand, eight hundred 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 138435568128 cubic inches would be around 431.1 feet tall.
Recreational maths with 138435568128
- 138435568128 backwards is 821865534831
- 138435568128 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138435568128's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138435568128 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
APA style:
Numbermatics. (2024). Number 138435568128 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/138435568128/
Chicago style:
Numbermatics. 2024. "Number 138435568128 - Facts about the integer". https://numbermatics.com/n/138435568128/
The information we have on file for 138435568128 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!
Keywords: Divisors of 138435568128, math, Factors of 138435568128, curriculum, school, college, exams, university, Prime factorization of 138435568128, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, four hundred thirty-five million, five hundred sixty-eight thousand, one hundred twenty-eight.