138893088768
138,893,088,768 is an even composite number composed of five prime numbers multiplied together.
What does the number 138893088768 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 432 divisors.
138893088768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138893088768:
211 × 3 × 72 × 372 × 337
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 37 × 37 × 337)See below for interesting mathematical facts about the number 138893088768 from the Numbermatics database.
Names of 138893088768
- Cardinal: 138893088768 can be written as One hundred thirty-eight billion, eight hundred ninety-three million, eighty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38893088768 × 1011
Factors of 138893088768
Divisors of 138893088768
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 49 56 64 74 84 96 98 111 112 128 147 148 168 192 196 222 224 256 259 294 296 336 337 384 392 444 448 512 518 588 592 672 674 768 777 784 888 896 1011 1024 1036 1176 1184 1344 1348 1369 1536 1554 1568 1776 1792 1813 2022 2048 2072 2352 2359 2368 2688 2696 2738 3072 3108 3136 3552 3584 3626 4044 4107 4144 4704 4718 4736 5376 5392 5439 5476 6144 6216 6272 7077 7104 7168 7252 8088 8214 8288 9408 9436 9472 9583 10752 10784 10878 10952 12432 12469 12544 14154 14208 14336 14504 16176 16428 16513 16576 18816 18872 18944 19166 21504 21568 21756 21904 24864 24938 25088 28308 28416 28749 29008 32352 32856 33026 33152 37407 37632 37744 37888 38332 43008 43136 43512 43808 49539 49728 49876 50176 56616 56832 57498 58016 64704 65712 66052 66304 67081 74814 75264 75488 75776 76664 86272 87024 87283 87616 99078 99456 99752 100352 113232 113664 114996 116032 129408 131424 132104 132608 134162 149628 150528 150976 153328 172544 174048 174566 175232 198156 198912 199504 201243 226464 227328 229992 232064 258816 261849 262848 264208 265216 268324 299256 301056 301952 306656 345088 348096 349132 350464 396312 397824 399008 402486 452928 459984 461353 464128 517632 523698 525696 528416 530432 536648 598512 603904 610981 613312 690176 696192 698264 700928 792624 795648 798016 804972 905856 919968 922706 928256 1035264 1047396 1051392 1056832 1073296 1197024 1207808 1221962 1226624 1384059 1392384 1396528 1401856 1585248 1591296 1596032 1609944 1811712 1832943 1839936 1845412 1856512 2070528 2094792 2102784 2113664 2146592 2394048 2415616 2443924 2453248 2768118 2784768 2793056 2803712 3170496 3192064 3219888 3229471 3623424 3665886 3679872 3690824 3713024 4189584 4205568 4227328 4293184 4788096 4831232 4887848 4906496 5536236 5569536 5586112 6340992 6384128 6439776 6458942 7246848 7331772 7359744 7381648 8379168 8411136 8454656 8586368 9576192 9688413 9775696 9812992 11072472 11139072 11172224 12681984 12768256 12879552 12917884 14493696 14663544 14719488 14763296 16758336 16909312 17172736 19152384 19376826 19551392 19625984 22144944 22344448 22606297 25363968 25536512 25759104 25835768 29327088 29438976 29526592 33516672 33818624 34345472 38304768 38753652 39102784 44289888 44688896 45212594 50727936 51518208 51671536 58654176 58877952 59053184 67033344 67818891 68690944 76609536 77507304 78205568 88579776 89377792 90425188 101455872 103036416 103343072 117308352 118106368 134066688 135637782 137381888 155014608 156411136 177159552 178755584 180850376 206072832 206686144 234616704 236212736 268133376 271275564 310029216 312822272 354319104 361700752 412145664 413372288 469233408 472425472 536266752 542551128 620058432 625644544 708638208 723401504 826744576 938466816 944850944 1085102256 1240116864 1251289088 1417276416 1446803008 1653489152 1876933632 2170204512 2480233728 2834552832 2893606016 3306978304 3753867264 4340409024 4960467456 5787212032 6613956608 8680818048 9920934912 11574424064 17361636096 19841869824 23148848128 34723272192 46297696256 69446544384 138893088768
- Sum of all divisors σ(n): 444016951560
- Sum of proper divisors (its aliquot sum) s(n): 305123862792
- 138893088768 is an abundant number, because the sum of its proper divisors (305123862792) is greater than itself. Its abundance is 166230774024
Bases of 138893088768
- Binary: 100000010101101010110001011000000000002
- Hexadecimal: 0x2056AC5800
- Base-36: 1RT1CX6O
Squares and roots of 138893088768
- 138893088768 squared (1388930887682) is 19291290107515527757824
- 138893088768 cubed (1388930887683) is 2679426869352394460805816838520832
-
The
square root of 138893088768 is 372683.6309364821 -
The
cube root of 138893088768 is 5178.7730427339
Scales and comparisons
How big is 138893088768?- 138,893,088,768 seconds is equal to 4,416 years, 19 weeks, 1 day, 21 hours, 32 minutes, 48 seconds.
-
To count from 1 to 138,893,088,768 would take you about eight thousand, eight hundred thirty-two 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 138893088768 cubic inches would be around 431.6 feet tall.
Recreational maths with 138893088768
- 138893088768 backwards is 867880398831
- The number of decimal digits it has is: 12
- The sum of 138893088768's digits is 69
- 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 138893088768 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 138893088768 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138893088768/
Chicago style:
Numbermatics. 2024. "Number 138893088768 - Facts about the integer". https://numbermatics.com/n/138893088768/
The information we have on file for 138893088768 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 138893088768, math, Factors of 138893088768, curriculum, school, college, exams, university, Prime factorization of 138893088768, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, eight hundred ninety-three million, eighty-eight thousand, seven hundred sixty-eight.