138727769037648
138,727,769,037,648 is an even composite number composed of six prime numbers multiplied together.
What does the number 138727769037648 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
138727769037648 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138727769037648:
24 × 3 × 75 × 292 × 73 × 2801
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 7 × 29 × 29 × 73 × 2801)See below for interesting mathematical facts about the number 138727769037648 from the Numbermatics database.
Names of 138727769037648
- Cardinal: 138727769037648 can be written as One hundred thirty-eight trillion, seven hundred twenty-seven billion, seven hundred sixty-nine million, thirty-seven thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.38727769037648 × 1014
Factors of 138727769037648
Divisors of 138727769037648
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 49 56 58 73 84 87 98 112 116 146 147 168 174 196 203 219 232 292 294 336 343 348 392 406 438 464 511 584 588 609 686 696 784 812 841 876 1022 1029 1168 1176 1218 1372 1392 1421 1533 1624 1682 1752 2044 2058 2117 2352 2401 2436 2523 2744 2801 2842 3066 3248 3364 3504 3577 4088 4116 4234 4263 4802 4872 5046 5488 5602 5684 5887 6132 6351 6728 7154 7203 8176 8232 8403 8468 8526 9604 9744 9947 10092 10731 11204 11368 11774 12264 12702 13456 14308 14406 14819 16464 16806 16807 16936 17052 17661 19208 19607 19894 20184 21462 22408 22736 23548 24528 25039 25404 28616 28812 29638 29841 33612 33614 33872 34104 35322 38416 39214 39788 40368 41209 42924 44457 44816 47096 50078 50421 50808 57232 57624 58821 59276 59682 61393 67224 67228 68208 69629 70644 75117 78428 79576 81229 82418 85848 88914 94192 100156 100842 101616 103733 115248 117642 118552 119364 122786 123627 134448 134456 137249 139258 141288 150234 156856 159152 162458 164836 171696 175273 177828 184179 200312 201684 204473 207466 208887 235284 237104 238728 243687 245572 247254 268912 274498 278516 282576 288463 300468 311199 313712 324916 329672 350546 355656 368358 400624 403368 408946 411747 414932 417774 429751 470568 477456 487374 487403 491144 494508 525819 548996 557032 568603 576926 600936 613419 622398 649832 659344 701092 711312 726131 736716 806736 817892 823494 829864 835548 859502 865389 941136 960743 974748 974806 982288 989016 1051638 1097992 1114064 1137206 1153852 1201872 1226838 1226911 1244796 1289253 1299664 1402184 1431311 1452262 1462209 1473432 1635784 1646988 1659728 1671096 1705809 1719004 1730778 1921486 1949496 1949612 1978032 2019241 2103276 2178393 2195984 2274412 2307704 2355641 2453676 2453822 2489592 2578506 2804368 2862622 2882229 2904524 2924418 2946864 3008257 3271568 3293976 3342192 3411618 3438008 3461556 3680733 3842972 3898992 3899224 3980221 4038482 4206552 4293933 4356786 4548824 4615408 4711282 4907352 4907644 4979184 5082917 5157012 5725244 5764458 5809048 5848836 5929717 6016514 6057723 6587952 6725201 6823236 6876016 6923112 7066923 7361466 7685944 7798448 7960442 8076964 8413104 8587866 8713572 9024771 9097648 9422564 9814704 9815288 10019177 10165834 10314024 11450488 11528916 11618096 11697672 11859434 11940663 12033028 12115446 13450402 13646472 13846224 14133846 14134687 14722932 15248751 15371888 15920884 16153928 16489487 17175732 17427144 17789151 18049542 18845128 19630576 20038354 20175603 20331668 20628048 21057799 22900976 23057832 23395344 23718868 23881326 24066056 24230892 26900804 27292944 27861547 28267692 28269374 29445864 30057531 30497502 31841768 32307856 32978974 34351464 34854288 35578302 35580419 36099084 37690256 40076708 40351206 40663336 41508019 42115598 42404061 46115664 47076407 47437736 47762652 48132112 48461784 49468461 53801608 55723094 56535384 56538748 58891728 60115062 60995004 63173397 63683536 65957948 68702928 70134239 71156604 71160838 72198168 80153416 80702412 81326672 83016038 83584641 84231196 84808122 94152814 94875472 95525304 96923568 98936922 106741257 107603216 111446188 113070768 113077496 115426409 120230124 121990008 124524057 126346794 131915896 140268478 141229221 142313208 142321676 144396336 147404593 160306832 161404824 166032076 167169282 168462392 169616244 171961793 188305628 191050608 195030829 197873844 210402717 213482514 222892376 226154992 230852818 240460248 243980016 249048114 252693588 263831792 280536956 282458442 284626416 284643352 290556133 294809186 322809648 332064152 334338564 336924784 339232488 343923586 346279227 376611256 390061658 395747688 420805434 426965028 442213779 445784752 461705636 480920496 490939673 498096228 505387176 515885379 561073912 564916884 569286704 581112266 585092487 589618372 664128304 668677128 678464976 687847172 692558454 753222512 780123316 791495376 807984863 841610868 853930056 871668399 884427558 923411272 981879346 996192456 1010774352 1031770758 1031832151 1122147824 1129833768 1162224532 1170184974 1179236744 1203732551 1337354256 1365215803 1375694344 1385116908 1472819019 1560246632 1615969726 1683221736 1707860112 1743336798 1768855116 1846822544 1963758692 1992384912 2033892931 2063541516 2063664302 2259667536 2324449064 2340369948 2358473488 2407465102 2423954589 2730431606 2751388688 2770233816 2945638038 3095496453 3120493264 3231939452 3366443472 3436577711 3486673596 3537710232 3611197653 3927517384 4067785862 4095647409 4127083032 4127328604 4648898128 4680739896 4814930204 4847909178 5460863212 5540467632 5655894041 5891276076 6101678793 6190992906 6463878904 6873155422 6973347192 7075420464 7222395306 7855034768 8135571724 8191294818 8254166064 8254657208 8426127857 9361479792 9629860408 9695818356 10309733133 10921726424 11311788082 11782552152 12203357586 12381985812 12927757808 13746310844 13946694384 14237250517 14444790612 16271143448 16382589636 16509314416 16852255714 16967682123 19259720816 19391636712 20619466266 21843452848 22623576164 23565104304 24406715172 24763971624 25278383571 27492621688 28474501034 28889581224 32542286896 32765179272 33704511428 33935364246 38783273424 39591258287 41238932532 42711751551 45247152328 48813430344 49527943248 50556767142 54985243376 56949002068 57779162448 58982894999 65530358544 67409022856 67870728492 79182516574 82477865064 85423503102 90494304656 97626860688 99660753619 101113534284 113898004136 117965789998 118773774861 134818045712 135741456984 158365033148 164955730128 170847006204 176948684997 199321507238 202227068568 227796008272 235931579996 237547549722 271482913968 298982260857 316730066296 341694012408 353897369994 398643014476 404454137136 412880264993 471863159992 475095099444 597964521714 633460132592 683388024816 707794739988 797286028952 825760529986 943726319984 950190198888 1195929043428 1238640794979 1415589479976 1594572057904 1651521059972 1900380397776 2391858086856 2477281589958 2831178959952 2890161854951 3303042119944 4783716173712 4954563179916 5780323709902 6606084239888 8670485564853 9909126359832 11560647419804 17340971129706 19818252719664 23121294839608 34681942259412 46242589679216 69363884518824 138727769037648
- Sum of all divisors σ(n): 439109657790336
- Sum of proper divisors (its aliquot sum) s(n): 300381888752688
- 138727769037648 is an abundant number, because the sum of its proper divisors (300381888752688) is greater than itself. Its abundance is 161654119715040
Bases of 138727769037648
- Binary: 111111000101100000100110110010011011011010100002
- Hexadecimal: 0x7E2C1364DB50
- Base-36: 1D6ANNU8UO
Squares and roots of 138727769037648
- 138727769037648 squared (1387277690376482) is 19245393902163007096041371904
- 138727769037648 cubed (1387277690376483) is 2669870560297828838393621147092967745441792
-
The
square root of 138727769037648 is 11778275.2997902031 -
The
cube root of 138727769037648 is 51767.1752104017
Scales and comparisons
How big is 138727769037648?- 138,727,769,037,648 seconds is equal to 4,411,113 years, 48 weeks, 6 days, 23 hours, 20 minutes, 48 seconds.
-
To count from 1 to 138,727,769,037,648 would take you about eleven million, twenty-seven thousand, seven hundred eighty-four 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 138727769037648 cubic inches would be around 4313.9 feet tall.
Recreational maths with 138727769037648
- 138727769037648 backwards is 846730967727831
- The number of decimal digits it has is: 15
- The sum of 138727769037648's digits is 78
- 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 138727769037648 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 138727769037648 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138727769037648/
Chicago style:
Numbermatics. 2024. "Number 138727769037648 - Facts about the integer". https://numbermatics.com/n/138727769037648/
The information we have on file for 138727769037648 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 138727769037648, math, Factors of 138727769037648, curriculum, school, college, exams, university, Prime factorization of 138727769037648, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred twenty-seven billion, seven hundred sixty-nine million, thirty-seven thousand, six hundred forty-eight.