138871825750711728
138,871,825,750,711,728 is an even composite number composed of four prime numbers multiplied together.
138871825750711728 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred fifty divisors.
Prime factorization of 138871825750711728:
24 × 39 × 314 × 6912
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 31 × 31 × 31 × 31 × 691 × 691)See below for interesting mathematical facts about the number 138871825750711728 from the Numbermatics database.
Names of 138871825750711728
- Cardinal: 138871825750711728 can be written as One hundred thirty-eight quadrillion, eight hundred seventy-one trillion, eight hundred twenty-five billion, seven hundred fifty million, seven hundred eleven thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38871825750711728 × 1017
Factors of 138871825750711728
Divisors of 138871825750711728
- Number of divisors d(n): 750
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 243 248 279 324 372 432 486 496 558 648 691 729 744 837 961 972 1116 1296 1382 1458 1488 1674 1922 1944 2073 2187 2232 2511 2764 2883 2916 3348 3844 3888 4146 4374 4464 5022 5528 5766 5832 6219 6561 6696 7533 7688 8292 8649 8748 10044 11056 11532 11664 12438 13122 13392 15066 15376 16584 17298 17496 18657 19683 20088 21421 22599 23064 24876 25947 26244 29791 30132 33168 34596 34992 37314 39366 40176 42842 45198 46128 49752 51894 52488 55971 59582 60264 64263 67797 69192 74628 77841 78732 85684 89373 90396 99504 103788 104976 111942 119164 120528 128526 135594 138384 149256 155682 157464 167913 171368 178746 180792 192789 203391 207576 223884 233523 238328 257052 268119 271188 298512 311364 314928 335826 342736 357492 361584 385578 406782 415152 447768 467046 476656 477481 503739 514104 536238 542376 578367 610173 622728 664051 671652 700569 714984 771156 804357 813564 895536 923521 934092 954962 1007478 1028208 1072476 1084752 1156734 1220346 1245456 1328102 1343304 1401138 1429968 1432443 1511217 1542312 1608714 1627128 1735101 1847042 1868184 1909924 1992153 2014956 2101707 2144952 2313468 2413071 2440692 2656204 2686608 2770563 2802276 2864886 3022434 3084624 3217428 3254256 3470202 3694084 3736368 3819848 3984306 4029912 4203414 4289904 4297329 4533651 4626936 4826142 4881384 5205303 5312408 5541126 5604552 5729772 5976459 6044868 6305121 6434856 6940404 7239213 7388168 7639696 7968612 8059824 8311689 8406828 8594658 9067302 9253872 9652284 9762768 10410606 10624816 11082252 11209104 11459544 11952918 12089736 12610242 12869712 12891987 13600953 13880808 14478426 14776336 14801911 15615909 15937224 16623378 16813656 17189316 17929377 18134604 18915363 19304568 20585581 20821212 21717639 22164504 22919088 23905836 24179472 24935067 25220484 25783974 27201906 27761616 28956852 29603822 31231818 31874448 33246756 33627312 34378632 35858754 36269208 37830726 38609136 38675961 41171162 41642424 43435278 44329008 44405733 46847727 47811672 49870134 50440968 51567948 53788131 54403812 57913704 59207644 61756743 62463636 65152917 66493512 68757264 71717508 72538416 74805201 75661452 77351922 82342324 83284848 86870556 88811466 93695454 95623344 99740268 100881936 103135896 107576262 108807624 115827408 116027883 118415288 123513486 124927272 130305834 132987024 133217199 140543181 143435016 149610402 151322904 154703844 161364393 164684648 173741112 177622932 185270229 187390908 195458751 199480536 206271792 215152524 217615248 224415603 232055766 236830576 247026972 249854544 260611668 266434398 281086362 286870032 299220804 302645808 309407688 322728786 329369296 347482224 348083649 355245864 370540458 374781816 390917502 398961072 399651597 421629543 430305048 448831206 458859241 464111532 484093179 494053944 521223336 532868796 555810687 562172724 586376253 598441608 618815376 638153011 645457572 673246809 696167298 710491728 741080916 749563632 781835004 799303194 843259086 860610096 897662412 917718482 928223064 968186358 988107888 1042446672 1044250947 1065737592 1111621374 1124345448 1172752506 1196883216 1198954791 1276306022 1290915144 1346493618 1376577723 1392334596 1452279537 1482161832 1563670008 1598606388 1667432061 1686518172 1795324824 1835436964 1856446128 1914459033 1936372716 2019740427 2088501894 2131475184 2223242748 2248690896 2345505012 2397909582 2552612044 2581830288 2692987236 2753155446 2784669192 2904559074 2964323664 3127340016 3132752841 3197212776 3334864122 3373036344 3590649648 3596864373 3670873928 3828918066 3872745432 4039480854 4129733169 4177003788 4356838611 4446485496 4691010024 4795819164 5002296183 5105224088 5385974472 5506310892 5569338384 5743377099 5809118148 6059221281 6265505682 6394425552 6669728244 6746072688 7193728746 7341747856 7657836132 7745490864 8078961708 8259466338 8354007576 8713677222 8892970992 9382020048 9398258523 9591638328 10004592366 10210448176 10771948944 10790593119 11012621784 11486754198 11618236296 12118442562 12389199507 12531011364 13070515833 13339456488 14224636471 14387457492 15006888549 15315672264 16157923416 16518932676 16708015152 17230131297 17427354444 18177663843 18796517046 19183276656 20009184732 21581186238 22025243568 22973508396 23236472592 24236885124 24778399014 25062022728 26141031666 26678912976 28449272942 28774914984 30013777098 30631344528 32315846832 32371779357 33037865352 34460262594 34854708888 36355327686 37167598521 37593034092 40018369464 42673909413 43162372476 45020665647 45947016792 48473770248 49556798028 50124045456 51690393891 52282063332 56898545884 57549829968 60027554196 64743558714 66075730704 68920525188 69709417776 72710655372 74335197042 75186068184 80036738928 85347818826 86324744952 90041331294 91894033584 96947540496 97115338071 99113596056 103380787782 104564126664 111502795563 113797091768 120055108392 128021728239 129487117428 135061996941 137841050376 145421310744 148670394084 150372136368 155071181673 170695637652 172649489904 180082662588 194230676142 198227192112 206761575564 209128253328 223005591126 227594183536 240110216784 256043456478 258974234856 270123993882 275682100752 290842621488 291346014213 297340788168 310142363346 334508386689 341391275304 360165325176 384065184717 388461352284 405185990823 413523151128 440963730601 446011182252 465213545019 512086912956 517948469712 540247987764 582692028426 594681576336 620284726692 669016773378 682782550608 720330650352 768130369434 776922704568 810371981646 827046302256 881927461202 892022364504 930427090038 1003525160067 1024173825912 1080495975528 1152195554151 1165384056852 1240569453384 1322891191803 1338033546756 1395640635057 1536260738868 1553845409136 1620743963292 1763854922404 1784044729008 1860854180076 2007050320134 2048347651824 2160991951056 2304391108302 2330768113704 2481138906768 2645782383606 2676067093512 2791281270114 3010575480201 3072521477736 3241487926584 3456586662453 3527709844808 3721708360152 3968673575409 4014100640268 4186921905171 4608782216604 4661536227408 5291564767212 5352134187024 5582562540228 6021150960402 6145042955472 6482975853168 6913173324906 7055419689616 7443416720304 7937347150818 8028201280536 8373843810342 9031726440603 9217564433208 10369759987359 10583129534424 11165125080456 11906020726227 12042301920804 12560765715513 13826346649812 15874694301636 16056402561072 16747687620684 18063452881206 18435128866416 20739519974718 21166259068848 22330250160912 23812041452454 24084603841608 25121531431026 27652693299624 31109279962077 31749388603272 33495375241368 35718062178681 36126905762412 41479039949436 47624082904908 48169207683216 50243062862052 55305386599248 62218559924154 63498777206544 66990750482736 71436124357362 72253811524824 82958079898872 93327839886231 95248165809816 100486125724104 107154186536043 124437119848308 142872248714724 144507623049648 165916159797744 186655679772462 190496331619632 200972251448208 214308373072086 248874239696616 279983519658693 285744497429448 321462559608129 373311359544924 428616746144172 497748479393232 559967039317386 571488994858896 642925119216258 746622719089848 857233492288344 964387678824387 1119934078634772 1285850238432516 1493245438179696 1714466984576688 1928775357648774 2239868157269544 2571700476865032 2893163036473161 3857550715297548 4479736314539088 5143400953730064 5786326072946322 7715101430595096 8679489109419483 11572652145892644 15430202861190192 17358978218838966 23145304291785288 34717956437677932 46290608583570576 69435912875355864 138871825750711728
- Sum of all divisors σ(n): 417646782343857660
- Sum of proper divisors (its aliquot sum) s(n): 278774956593145932
- 138871825750711728 is an abundant number, because the sum of its proper divisors (278774956593145932) is greater than itself. Its abundance is 139903130842434204
Bases of 138871825750711728
- Binary: 1111011010101111100110000100100110010111001011101101100002
- Hexadecimal: 0x1ED5F30932E5DB0
- Base-36: 11ZDYC0VOR00
Squares and roots of 138871825750711728
- 138871825750711728 squared (1388718257507117282) is 19285383987336040996095298556745984
- 138871825750711728 cubed (1388718257507117283) is 2678196484624896839679141437352723691711483705700352
-
The
square root of 138871825750711728 is 372655102.9446822535 -
The
cube root of 138871825750711728 is 517850.8758020587
Scales and comparisons
How big is 138871825750711728?- 138,871,825,750,711,728 seconds is equal to 4,415,694,500 years, 5 weeks, 5 days, 15 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,871,825,750,711,728 would take you about thirteen billion, two hundred forty-seven million, eighty-three thousand, five hundred 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 138871825750711728 cubic inches would be around 43154.2 feet tall.
Recreational maths with 138871825750711728
- 138871825750711728 backwards is 827117057528178831
- 138871825750711728 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138871825750711728's digits is 81
- 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 138871825750711728 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 138871825750711728 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138871825750711728/
Chicago style:
Numbermatics. 2024. "Number 138871825750711728 - Facts about the integer". https://numbermatics.com/n/138871825750711728/
The information we have on file for 138871825750711728 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 138871825750711728, math, Factors of 138871825750711728, curriculum, school, college, exams, university, Prime factorization of 138871825750711728, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred seventy-one trillion, eight hundred twenty-five billion, seven hundred fifty million, seven hundred eleven thousand, seven hundred twenty-eight.