138989767656960
138,989,767,656,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 138989767656960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
138989767656960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138989767656960:
29 × 33 × 5 × 112 × 312 × 17293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 31 × 31 × 17293)See below for interesting mathematical facts about the number 138989767656960 from the Numbermatics database.
Names of 138989767656960
- Cardinal: 138989767656960 can be written as One hundred thirty-eight trillion, nine hundred eighty-nine billion, seven hundred sixty-seven million, six hundred fifty-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3898976765696 × 1014
Factors of 138989767656960
Divisors of 138989767656960
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 31 32 33 36 40 44 45 48 54 55 60 62 64 66 72 80 88 90 93 96 99 108 110 120 121 124 128 132 135 144 155 160 165 176 180 186 192 198 216 220 240 242 248 256 264 270 279 288 297 310 320 330 341 352 360 363 372 384 396 432 440 465 480 484 495 496 512 528 540 558 576 594 605 620 640 660 682 704 720 726 744 768 792 837 864 880 930 960 961 968 990 992 1023 1056 1080 1089 1116 1152 1188 1210 1240 1280 1320 1364 1395 1408 1440 1452 1485 1488 1536 1584 1674 1705 1728 1760 1815 1860 1920 1922 1936 1980 1984 2046 2112 2160 2178 2232 2304 2376 2420 2480 2560 2640 2728 2790 2816 2880 2883 2904 2970 2976 3069 3168 3267 3348 3410 3456 3520 3630 3720 3751 3840 3844 3872 3960 3968 4092 4185 4224 4320 4356 4464 4608 4752 4805 4840 4960 5115 5280 5445 5456 5580 5632 5760 5766 5808 5940 5952 6138 6336 6534 6696 6820 6912 7040 7260 7440 7502 7680 7688 7744 7920 7936 8184 8370 8448 8640 8649 8712 8928 9207 9504 9610 9680 9920 10230 10560 10571 10890 10912 11160 11253 11520 11532 11616 11880 11904 12276 12672 13068 13392 13640 13824 14080 14415 14520 14880 15004 15345 15376 15488 15840 15872 16335 16368 16740 16896 17280 17293 17298 17424 17856 18414 18755 19008 19220 19360 19840 20460 21120 21142 21780 21824 22320 22506 23040 23064 23232 23760 23808 24552 25344 25947 26136 26784 27280 28160 28830 29040 29760 30008 30690 30752 30976 31680 31713 32670 32736 33480 33759 34560 34586 34596 34848 35712 36828 37510 38016 38440 38720 39680 40920 42240 42284 43245 43560 43648 44640 45012 46035 46128 46464 47520 47616 49104 50688 51879 51894 52272 52855 53568 54560 56265 57660 58080 59520 60016 61380 61504 61952 63360 63426 65340 65472 66960 67518 69120 69172 69192 69696 71424 73656 75020 76032 76880 77440 79360 81840 84480 84568 86465 86490 87120 87296 89280 90024 92070 92256 92928 95040 95139 98208 101277 103758 103788 104544 105710 107136 109120 112530 115320 116160 116281 119040 120032 122760 123008 126720 126852 129735 130680 130944 133920 135036 138344 138384 139392 142848 147312 150040 152064 153760 154880 155637 158565 163680 168795 169136 172930 172980 174240 174592 178560 180048 184140 184512 185856 190080 190223 190278 196416 202554 207516 207576 209088 211420 214272 218240 225060 230640 232320 232562 238080 240064 245520 246016 253440 253704 259395 259470 261360 261888 267840 270072 276688 276768 278784 285417 294624 300080 307520 309760 311274 317130 327360 337590 338272 345860 345960 348480 348843 357120 360096 368280 369024 380160 380446 380556 392832 405108 415032 415152 418176 422840 428544 436480 450120 461280 464640 465124 466911 475695 480128 491040 492032 506385 507408 518790 518940 522720 523776 535680 536083 540144 553376 553536 557568 570669 570834 581405 589248 600160 615040 622548 634260 654720 675180 676544 691720 691920 696960 697686 714240 720192 736560 738048 760320 760892 761112 778185 785664 810216 830064 830304 836352 845680 872960 900240 922560 929280 930248 933822 951115 951390 960256 982080 1012770 1014816 1037580 1037880 1045440 1046529 1071360 1072166 1080288 1106752 1107072 1141338 1141668 1162810 1178496 1200320 1230080 1245096 1268520 1309440 1350360 1353088 1383440 1383840 1393920 1395372 1427085 1440384 1473120 1476096 1521784 1522224 1556370 1571328 1608249 1620432 1660128 1660608 1672704 1691360 1712007 1744215 1800480 1845120 1860496 1867644 1902230 1902780 1920512 1964160 2025540 2029632 2075160 2075760 2090880 2092453 2093058 2142720 2144332 2160576 2213504 2214144 2282676 2283336 2325620 2334555 2356992 2400640 2460160 2490192 2537040 2618880 2680415 2700720 2706176 2766880 2767680 2787840 2790744 2853345 2854170 2880768 2946240 3043568 3044448 3112740 3139587 3216498 3240864 3320256 3321216 3382720 3424014 3488430 3600960 3690240 3720992 3735288 3804460 3805560 3928320 4051080 4059264 4150320 4151520 4181760 4184906 4186116 4288664 4321152 4427008 4428288 4565352 4566672 4651240 4669110 4713984 4801280 4824747 4980384 5074080 5136021 5232645 5360830 5401440 5412352 5533760 5535360 5581488 5706690 5708340 5761536 5892480 5896913 6087136 6088896 6225480 6277359 6279174 6432996 6481728 6640512 6642432 6765440 6848028 6976860 7201920 7380480 7441984 7470576 7608920 7611120 7856640 8041245 8102160 8118528 8300640 8303040 8363520 8369812 8372232 8560035 8577328 8642304 8854016 9130704 9133344 9302480 9338220 9602560 9649494 9960768 10148160 10272042 10462265 10465290 10721660 10802880 11067520 11070720 11162976 11413380 11416680 11784960 11793826 12174272 12177792 12450960 12554718 12558348 12865992 12963456 13281024 13284864 13530880 13696056 13953720 14403840 14474241 14883968 14941152 15217840 15222240 15697935 16082490 16204320 16237056 16601280 16606080 16618573 16739624 16744464 17120070 17154656 17284608 17690739 18261408 18266688 18604960 18676440 18832077 19298988 19921536 20296320 20544084 20924530 20930580 21443320 21605760 22135040 22141440 22325952 22826760 22833360 23569920 23587652 24123735 24348544 24355584 24901920 25109436 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1751383161 1794805884 1807879392 1828043030 1852702848 1887012160 1945981290 1994228760 2008754880 2009335680 2010847333 2058558720 2075713376 2122888680 2127177344 2191368960 2193651636 2243507355 2259849240 2264414592 2315878560 2335177548 2393074512 2410505856 2470270464 2547466416 2594641720 2629642752 2658971680 2678339840 2679114240 2742064545 2830518240 2918971935 2924868848 2991343140 3013132320 3019219456 3087838080 3113570064 3184333020 3190766016 3214007808 3287053440 3290477454 3396621888 3502766322 3589611768 3615758784 3656086060 3705405696 3774024320 3891962580 3988457520 4017509760 4018671360 4021694666 4117117440 4151426752 4245777360 4254354688 4382737920 4387303272 4487014710 4519698480 4528829184 4631757120 4670355096 4786149024 4821011712 4935716181 5094932832 5189283440 5317943360 5356679680 5484129090 5661036480 5837943870 5849737696 5982686280 6026264640 6032541999 6175676160 6227140128 6368666040 6381532032 6574106880 6580954908 6793243776 7005532644 7179223536 7231517568 7312172120 7410811392 7548048640 7783925160 7976915040 8035019520 8037342720 8043389332 8226193635 8302853504 8491554720 8508709376 8756915805 8774606544 8974029420 9039396960 9057658368 9263514240 9340710192 9572298048 9642023424 9871432362 10054236665 10189865664 10378566880 10635886720 10968258180 11322072960 11675887740 11699475392 11965372560 12052529280 12065083998 12351352320 12454280256 12737332080 12763064064 13148213760 13161909816 13586487552 14011065288 14358447072 14463035136 14624344240 15096097280 15567850320 15953830080 16070039040 16086778664 16452387270 16605707008 16983109440 17513831610 17549213088 17948058840 18078793920 18097625997 18527028480 18681420384 19144596096 19742864724 20108473330 20379731328 20757133760 21271773440 21936516360 22644145920 23351775480 23398950784 23930745120 24105058560 24130167996 24678580905 24908560512 25474664160 25526128128 26323819632 27172975104 28022130576 28716894144 28926070272 29248688480 30162709995 31135700640 31907660160 32173557328 32904774540 33211414016 33966218880 35027663220 35098426176 35896117680 36157587840 36195251994 37054056960 37362840768 38289192192 39485729448 40216946660 40759462656 41514267520 42543546880 43873032720 45288291840 46703550960 46797901568 47861490240 48210117120 48260335992 49357161810 49817121024 50949328320 52647639264 54292877991 56044261152 57433788288 58497376960 60325419990 62271401280 63815320320 64347114656 65809549080 67932437760 70055326440 70196852352 71792235360 72315175680 72390503988 74725681536 76578384384 78971458896 80433893320 81518925312 83028535040 87746065440 90488129985 93407101920 93595803136 95722980480 96520671984 98714323620 99634242048 101898656640 105295278528 108585755982 112088522304 114867576576 116994753920 120650839980 124542802560 127630640640 128694229312 131619098160 135864875520 140110652880 140393704704 143584470720 144630351360 144781007976 149451363072 157942917792 160867786640 166057070080 175492130880 180976259970 186814203840 191445960960 193041343968 197428647240 203797313280 210590557056 217171511964 224177044608 229735153152 233989507840 241301679960 249085605120 257388458624 263238196320 271464389955 280221305760 280787409408 287168941440 289562015952 298902726144 315885835584 321735573280 350984261760 361952519940 373628407680 382891921920 386082687936 394857294480 407594626560 421181114112 434343023928 448354089216 467979015680 482603359920 498171210240 514776917248 526476392640 542928779910 560442611520 574337882880 579124031904 631771671168 643471146560 701968523520 723905039880 747256815360 772165375872 789714588960 842362228224 868686047856 896708178432 965206719840 1029553834496 1052952785280 1085857559820 1120885223040 1148675765760 1158248063808 1263543342336 1286942293120 1403937047040 1447810079760 1494513630720 1544330751744 1579429177920 1737372095712 1930413439680 2105905570560 2171715119640 2241770446080 2316496127616 2527086684672 2573884586240 2895620159520 3088661503488 3158858355840 3474744191424 3860826879360 4211811141120 4343430239280 4483540892160 4632992255232 5147769172480 5791240319040 6317716711680 6949488382848 7721653758720 8686860478560 9265984510464 11582480638080 12635433423360 13898976765696 15443307517440 17373720957120 23164961276160 27797953531392 34747441914240 46329922552320 69494883828480 138989767656960
- Sum of all divisors σ(n): 560767995738720
- Sum of proper divisors (its aliquot sum) s(n): 421778228081760
- 138989767656960 is an abundant number, because the sum of its proper divisors (421778228081760) is greater than itself. Its abundance is 282788460424800
Bases of 138989767656960
- Binary: 111111001101001000100111011101010000110000000002
- Hexadecimal: 0x7E6913BA8600
- Base-36: 1D9N0N1XC0
Squares and roots of 138989767656960
- 138989767656960 squared (1389897676569602) is 19318155513335724088236441600
- 138989767656960 cubed (1389897676569603) is 2685025946359553129841307755900919873536000
-
The
square root of 138989767656960 is 11789392.1665605815 -
The
cube root of 138989767656960 is 51799.7435496813
Scales and comparisons
How big is 138989767656960?- 138,989,767,656,960 seconds is equal to 4,419,444 years, 35 weeks, 5 days, 9 hours, 36 minutes.
-
To count from 1 to 138,989,767,656,960 would take you about eleven million, forty-eight thousand, six hundred eleven 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 138989767656960 cubic inches would be around 4316.6 feet tall.
Recreational maths with 138989767656960
- 138989767656960 backwards is 069656767989831
- 138989767656960 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138989767656960's digits is 90
- More coming soon!
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"Number 138989767656960 - Facts about the integer". Numbermatics.com. 2024. Web. 30 May 2024.
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Numbermatics. (2024). Number 138989767656960 - Facts about the integer. Retrieved 30 May 2024, from https://numbermatics.com/n/138989767656960/
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The information we have on file for 138989767656960 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 138989767656960, math, Factors of 138989767656960, curriculum, school, college, exams, university, Prime factorization of 138989767656960, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred eighty-nine billion, seven hundred sixty-seven million, six hundred fifty-six thousand, nine hundred sixty.