135026400768
135,026,400,768 is an even composite number composed of six prime numbers multiplied together.
135026400768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred divisors.
Prime factorization of 135026400768:
29 × 3 × 74 × 19 × 41 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 19 × 41 × 47)See below for interesting mathematical facts about the number 135026400768 from the Numbermatics database.
Names of 135026400768
- Cardinal: 135026400768 can be written as One hundred thirty-five billion, twenty-six million, four hundred thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.35026400768 × 1011
Factors of 135026400768
Divisors of 135026400768
- Number of divisors d(n): 800
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 41 42 47 48 49 56 57 64 76 82 84 94 96 98 112 114 123 128 133 141 147 152 164 168 188 192 196 224 228 246 256 266 282 287 294 304 328 329 336 343 376 384 392 399 448 456 492 512 532 564 574 588 608 656 658 672 686 752 768 779 784 798 861 893 896 912 931 984 987 1029 1064 1128 1148 1176 1216 1312 1316 1344 1372 1504 1536 1558 1568 1596 1722 1786 1792 1824 1862 1927 1968 1974 2009 2058 2128 2256 2296 2303 2337 2352 2401 2432 2624 2632 2679 2688 2744 2793 3008 3116 3136 3192 3444 3572 3584 3648 3724 3854 3936 3948 4018 4116 4256 4512 4592 4606 4674 4704 4802 4864 5248 5264 5358 5376 5453 5488 5586 5781 6016 6027 6232 6251 6272 6384 6517 6888 6909 7144 7203 7296 7448 7708 7872 7896 8036 8232 8512 9024 9184 9212 9348 9408 9604 9728 10496 10528 10716 10752 10906 10976 11172 11562 12032 12054 12464 12502 12544 12768 13034 13489 13776 13818 14063 14288 14406 14592 14896 15416 15744 15792 16072 16121 16359 16464 17024 18048 18368 18424 18696 18753 18816 19208 19551 20992 21056 21432 21812 21952 22344 23124 24064 24108 24928 25004 25088 25536 26068 26978 27552 27636 28126 28576 28812 29184 29792 30832 31488 31584 32144 32242 32718 32928 34048 36096 36613 36736 36848 37392 37506 37632 38171 38416 39102 40467 42112 42189 42864 43624 43757 43904 44688 45619 46248 48216 48363 49856 50008 51072 52136 53956 55104 55272 56252 57152 57624 59584 61664 62976 63168 64288 64484 65436 65856 68096 72192 73226 73472 73696 74784 75012 75264 76342 76832 78204 80934 84224 84378 85728 87248 87514 87808 89376 91238 92496 94423 96432 96726 98441 99712 100016 102144 104272 107912 109839 110208 110544 112504 112847 114304 114513 115248 119168 123328 126336 128576 128968 130872 131271 131712 136857 146452 146944 147392 149568 150024 152684 153664 156408 161868 168448 168756 171456 174496 175028 175616 178752 182476 184992 188846 192864 193452 196882 199424 200032 204288 208544 215824 219678 220416 221088 225008 225694 228608 229026 230496 238336 246656 252672 256291 257152 257936 261744 262542 263424 267197 273714 283269 292904 294784 295323 299136 300048 305368 306299 307328 312816 323736 337512 338541 342912 348992 350056 357504 364952 369984 377692 385728 386904 393764 398848 400064 417088 431648 439356 440832 442176 450016 451388 457216 458052 460992 476672 493312 505344 512582 514304 515872 523488 525084 526848 534394 547428 566538 585808 589568 590646 598272 600096 610736 612598 614656 625632 647472 660961 675024 677082 685824 697984 700112 715008 729904 739968 755384 768873 771456 773808 787528 800128 801591 834176 863296 878712 884352 900032 902776 916104 918897 921984 986624 1025164 1028608 1031744 1046976 1050168 1068788 1094856 1133076 1171616 1179136 1181292 1196544 1200192 1221472 1225196 1229312 1251264 1294944 1321922 1350048 1354164 1371648 1395968 1400224 1430016 1459808 1479936 1510768 1537746 1542912 1547616 1575056 1600256 1603182 1668352 1726592 1757424 1768704 1794037 1800064 1805552 1832208 1837794 1843968 1870379 1982883 2050328 2063488 2093952 2100336 2137576 2144093 2189712 2266152 2343232 2362584 2400384 2442944 2450392 2502528 2589888 2643844 2700096 2708328 2791936 2800448 2919616 2959872 3021536 3075492 3085824 3095232 3150112 3200512 3206364 3336704 3453184 3514848 3537408 3588074 3600128 3611104 3664416 3675588 3687936 3740758 3965766 4100656 4126976 4187904 4200672 4275152 4288186 4379424 4532304 4626727 4686464 4725168 4800768 4885888 4900784 5005056 5179776 5287688 5382111 5400192 5416656 5600896 5611137 5839232 6043072 6150984 6190464 6300224 6412728 6432279 6906368 7029696 7176148 7200256 7222208 7328832 7351176 7481516 7931532 8201312 8253952 8375808 8401344 8550304 8576372 8758848 9064608 9253454 9372928 9450336 9601536 9771776 9801568 10010112 10359552 10575376 10764222 10800384 10833312 11201792 11222274 11678464 12086144 12301968 12380928 12558259 12600448 12825456 12864558 13880181 14059392 14352296 14444416 14657664 14702352 14963032 15863064 16402624 16802688 17100608 17152744 17517696 18129216 18506908 18745856 18900672 19543552 19603136 20719104 21150752 21528444 21600768 21666624 22403584 22444548 23356928 24172288 24603936 24761856 25116518 25200896 25650912 25729116 27760362 28118784 28704592 28888832 29315328 29404704 29926064 31726128 32805248 33605376 34201216 34305488 35035392 36258432 37013816 37674777 37801344 39206272 42301504 43056888 43333248 44889096 48344576 49207872 50233036 50401792 51301824 51458232 55520724 56237568 57409184 57777664 58630656 58809408 59852128 63452256 65610496 67210752 68402432 68610976 70070784 72516864 74027632 75349554 75602688 78412544 84603008 86113776 86666496 87907813 89778192 98415744 100466072 102603648 102916464 111041448 114818368 117618816 119704256 126904512 131220992 136804864 137221952 145033728 148055264 150699108 151205376 156825088 169206016 172227552 173332992 175815626 179556384 196831488 200932144 205207296 205832928 222082896 229636736 235237632 239408512 253809024 263723439 274443904 296110528 301398216 338412032 344455104 351631252 359112768 393662976 401864288 410414592 411665856 444165792 459273472 470475264 478817024 507618048 527446878 548887808 592221056 602796432 688910208 703262504 718225536 803728576 823331712 888331584 918546944 957634048 1015236096 1054893756 1097775616 1184442112 1205592864 1377820416 1406525008 1436451072 1607457152 1646663424 1776663168 2109787512 2368884224 2411185728 2755640832 2813050016 2872902144 3214914304 3293326848 3553326336 4219575024 4822371456 5626100032 6429828608 7106652672 8439150048 9644742912 11252200064 16878300096 19289485824 22504400128 33756600192 45008800256 67513200384 135026400768
- Sum of all divisors σ(n): 462135421440
- Sum of proper divisors (its aliquot sum) s(n): 327109020672
- 135026400768 is an abundant number, because the sum of its proper divisors (327109020672) is greater than itself. Its abundance is 192082619904
Bases of 135026400768
- Binary: 11111011100000011001101011110000000002
- Hexadecimal: 0x1F70335E00
- Base-36: 1Q138DMO
Squares and roots of 135026400768
- 135026400768 squared (1350264007682) is 18232128904360550989824
- 135026400768 cubed (1350264007683) is 2461818744294024500721274513784832
-
The
square root of 135026400768 is 367459.3865558479 -
The
cube root of 135026400768 is 5130.2622232577
Scales and comparisons
How big is 135026400768?- 135,026,400,768 seconds is equal to 4,293 years, 21 weeks, 6 days, 13 hours, 32 minutes, 48 seconds.
-
To count from 1 to 135,026,400,768 would take you about eight thousand, five hundred eighty-six 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 135026400768 cubic inches would be around 427.5 feet tall.
Recreational maths with 135026400768
- 135026400768 backwards is 867004620531
- 135026400768 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135026400768's digits is 42
- 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 135026400768 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
APA style:
Numbermatics. (2024). Number 135026400768 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/135026400768/
Chicago style:
Numbermatics. 2024. "Number 135026400768 - Facts about the integer". https://numbermatics.com/n/135026400768/
The information we have on file for 135026400768 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 135026400768, math, Factors of 135026400768, curriculum, school, college, exams, university, Prime factorization of 135026400768, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five billion, twenty-six million, four hundred thousand, seven hundred sixty-eight.