138969722384640
138,969,722,384,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138969722384640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
138969722384640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138969722384640:
28 × 32 × 5 × 73 × 61 × 179 × 3221
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 61 × 179 × 3221)See below for interesting mathematical facts about the number 138969722384640 from the Numbermatics database.
Names of 138969722384640
- Cardinal: 138969722384640 can be written as One hundred thirty-eight trillion, nine hundred sixty-nine billion, seven hundred twenty-two million, three hundred eighty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3896972238464 × 1014
Factors of 138969722384640
Divisors of 138969722384640
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 61 63 64 70 72 80 84 90 96 98 105 112 120 122 126 128 140 144 147 160 168 179 180 183 192 196 210 224 240 244 245 252 256 280 288 294 305 315 320 336 343 358 360 366 384 392 420 427 441 448 480 488 490 504 537 549 560 576 588 610 630 640 672 686 716 720 732 735 768 784 840 854 882 895 896 915 960 976 980 1008 1029 1074 1098 1120 1152 1176 1220 1253 1260 1280 1281 1344 1372 1432 1440 1464 1470 1568 1611 1680 1708 1715 1764 1790 1792 1830 1920 1952 1960 2016 2058 2135 2148 2196 2205 2240 2304 2352 2440 2506 2520 2562 2685 2688 2744 2745 2864 2880 2928 2940 2989 3087 3136 3221 3222 3360 3416 3430 3528 3580 3660 3759 3840 3843 3904 3920 4032 4116 4270 4296 4392 4410 4480 4704 4880 5012 5040 5124 5145 5370 5376 5488 5490 5728 5760 5856 5880 5978 6174 6265 6272 6405 6442 6444 6720 6832 6860 7056 7160 7320 7518 7686 7808 7840 8055 8064 8232 8540 8592 8771 8784 8820 8960 8967 9408 9663 9760 10024 10080 10248 10290 10740 10919 10976 10980 11277 11456 11520 11712 11760 11956 12348 12530 12544 12810 12884 12888 13440 13664 13720 14112 14320 14640 14945 15036 15372 15435 15616 15680 16105 16110 16128 16464 17080 17184 17542 17568 17640 17934 18795 18816 19215 19326 19520 20048 20160 20496 20580 20923 21480 21838 21952 21960 22547 22554 22912 23424 23520 23912 24696 25060 25620 25768 25776 26313 26880 26901 27328 27440 28224 28640 28989 29280 29890 30072 30744 30870 31360 32210 32220 32757 32928 34160 34368 35084 35136 35280 35868 37590 37632 38430 38652 39040 40096 40320 40992 41160 41846 42960 43676 43855 43904 43920 44835 45094 45108 45824 46848 47040 47824 48315 49392 50120 51240 51536 51552 52626 53802 54595 54656 54880 56385 56448 57280 57978 58560 59780 60144 61397 61488 61740 62720 62769 64420 64440 65514 65856 67641 68320 68736 70168 70272 70560 71736 75180 76433 76860 77304 78080 78939 80192 80640 81984 82320 83692 85920 87352 87710 87808 87840 89670 90188 90216 94080 95648 96630 98271 98784 100240 102480 103072 103104 104615 105252 107604 109190 109312 109760 112735 112770 112896 114560 115956 117120 119560 120288 122794 122976 123480 125538 128840 128880 131028 131565 131712 134505 135282 136640 137472 140336 140544 141120 143472 144945 150360 152866 153720 154608 157829 157878 160384 163785 163968 164640 167384 171840 174704 175420 175680 179340 180376 180432 184191 188160 188307 191296 193260 196481 196542 197568 200480 202923 204960 206144 206208 209230 210504 215208 218380 219520 225470 225540 229120 229299 231912 234240 239120 240576 245588 245952 246960 251076 257680 257760 262056 263130 263424 269010 270564 273280 280672 282240 286944 289890 300720 305732 306985 307440 309216 313845 315658 315756 320768 327570 327936 329280 334768 338205 343680 349408 350840 351360 358680 360752 360864 368382 376614 382165 382592 386520 392962 393084 394695 395136 400960 405846 409920 412288 412416 418460 421008 430416 436760 439040 450940 451080 458598 463824 473487 478240 481152 491176 491355 491904 493920 502152 515360 515520 524112 526260 535031 538020 541128 546560 552573 561344 564480 573888 576559 579780 589443 601440 611464 613970 614880 618432 627690 631316 631512 655140 658560 669536 676410 687360 687897 698816 701680 702720 717360 721504 721728 736764 753228 764330 765184 773040 785924 786168 789145 789390 790272 801920 811692 819840 824576 836920 842016 860832 873520 901880 902160 917196 920955 927648 941535 946974 956480 962304 982352 982405 982710 983808 987840 1004304 1014615 1030720 1031040 1048224 1052520 1070062 1076040 1082256 1104803 1105146 1122688 1146495 1147776 1153118 1159560 1178886 1202880 1222928 1227940 1229760 1236864 1255380 1262632 1263024 1310280 1317120 1339072 1352820 1375367 1375794 1397632 1403360 1420461 1434720 1443008 1443456 1473528 1506456 1528660 1546080 1571848 1572336 1578290 1578780 1603840 1605093 1623384 1639680 1673840 1684032 1721664 1729677 1747040 1768329 1803760 1804320 1834392 1841910 1855296 1883070 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71193505320 72380063742 75939739008 77550068295 77636716416 78781021760 81031908096 81364006080 82720072848 86263018240 88628649480 94537226112 94924673760 96506751656 97045895520 101289885120 103400091060 108485341440 108570095613 110293430464 110909594880 113909608512 118171532640 120633439570 124080109272 126566231680 129394527360 135053180160 137866788080 141805839168 142387010640 144760127484 151879478016 155100136590 155273432832 157562043520 162728012160 165440145696 177257298960 180950159355 189074452224 189849347520 193013503312 194091791040 202579770240 206800182120 217140191226 220586860928 227819217024 236343065280 241266879140 248160218544 253132463360 258789054720 275733576160 283611678336 284774021280 289520254968 310200273180 315124087040 325456024320 330880291392 354514597920 361900318710 379698695040 386027006624 388183582080 405159540480 413600364240 434280382452 441173721856 455638434048 472686130560 482533758280 496320437088 542850478065 551467152320 567223356672 569548042560 579040509936 620400546360 661760582784 709029195840 723800637420 759397390080 772054013248 776367164160 827200728480 868560764904 945372261120 965067516560 992640874176 1085700956130 1102934304640 1139096085120 1158081019872 1240801092720 1323521165568 1418058391680 1447601274840 1544108026496 1654401456960 1737121529808 1930135033120 1985281748352 2171401912260 2205868609280 2278192170240 2316162039744 2481602185440 2836116783360 2895202549680 3088216052992 3308802913920 3474243059616 3860270066240 3970563496704 4342803824520 4632324079488 4963204370880 5790405099360 6617605827840 6948486119232 7720540132480 8685607649040 9264648158976 9926408741760 11580810198720 13896972238464 15441080264960 17371215298080 19852817483520 23161620397440 27793944476928 34742430596160 46323240794880 69484861192320 138969722384640
- Sum of all divisors σ(n): 573277932864000
- Sum of proper divisors (its aliquot sum) s(n): 434308210479360
- 138969722384640 is an abundant number, because the sum of its proper divisors (434308210479360) is greater than itself. Its abundance is 295338488094720
Bases of 138969722384640
- Binary: 111111001100100011010001110111111110001000000002
- Hexadecimal: 0x7E6468EFF100
- Base-36: 1D9DT4M680
Squares and roots of 138969722384640
- 138969722384640 squared (1389697223846402) is 19312583739663911888107929600
- 138969722384640 cubed (1389697223846403) is 2683864400831206418147181151149405241344000
-
The
square root of 138969722384640 is 11788541.9957109199 -
The
cube root of 138969722384640 is 51797.2532227457
Scales and comparisons
How big is 138969722384640?- 138,969,722,384,640 seconds is equal to 4,418,807 years, 16 weeks, 22 hours, 24 minutes.
-
To count from 1 to 138,969,722,384,640 would take you about eleven million, forty-seven thousand and eighteen 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 138969722384640 cubic inches would be around 4316.4 feet tall.
Recreational maths with 138969722384640
- 138969722384640 backwards is 046483227969831
- 138969722384640 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138969722384640's digits is 72
- More coming soon!
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"Number 138969722384640 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 138969722384640 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138969722384640/
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The information we have on file for 138969722384640 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!
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