138841342513920
138,841,342,513,920 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138841342513920 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3024 divisors.
138841342513920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 138841342513920:
28 × 36 × 5 × 19 × 29 × 312 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 19 × 29 × 31 × 31 × 281)See below for interesting mathematical facts about the number 138841342513920 from the Numbermatics database.
Names of 138841342513920
- Cardinal: 138841342513920 can be written as One hundred thirty-eight trillion, eight hundred forty-one billion, three hundred forty-two million, five hundred thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3884134251392 × 1014
Factors of 138841342513920
Divisors of 138841342513920
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 29 30 31 32 36 38 40 45 48 54 57 58 60 62 64 72 76 80 81 87 90 93 95 96 108 114 116 120 124 128 135 144 145 152 155 160 162 171 174 180 186 190 192 216 228 232 240 243 248 256 261 270 279 281 285 288 290 304 310 320 324 342 348 360 372 380 384 405 432 435 456 464 465 480 486 496 513 522 540 551 558 562 570 576 580 589 608 620 640 648 684 696 720 729 744 760 768 783 810 837 843 855 864 870 899 912 928 930 960 961 972 992 1026 1044 1080 1102 1116 1124 1140 1152 1160 1178 1215 1216 1240 1280 1296 1305 1368 1392 1395 1405 1440 1458 1488 1520 1539 1566 1620 1653 1674 1686 1710 1728 1740 1767 1798 1824 1856 1860 1920 1922 1944 1984 2052 2088 2160 2204 2232 2248 2280 2304 2320 2349 2356 2430 2432 2480 2511 2529 2565 2592 2610 2697 2736 2755 2784 2790 2810 2880 2883 2916 2945 2976 3040 3078 3132 3240 3306 3348 3372 3420 3456 3480 3534 3596 3645 3648 3712 3720 3840 3844 3888 3915 3968 4104 4176 4185 4215 4320 4408 4464 4495 4496 4560 4617 4640 4698 4712 4805 4860 4864 4959 4960 5022 5058 5130 5184 5220 5301 5339 5394 5472 5510 5568 5580 5620 5760 5766 5832 5890 5952 6080 6156 6264 6480 6612 6696 6744 6840 6912 6960 7047 7068 7192 7290 7296 7424 7440 7533 7587 7688 7695 7776 7830 7936 8091 8149 8208 8265 8352 8370 8430 8640 8649 8711 8816 8835 8928 8990 8992 9120 9234 9280 9396 9424 9610 9720 9918 9920 10044 10116 10260 10368 10440 10602 10678 10788 10944 11020 11136 11160 11240 11520 11532 11664 11745 11780 11904 12160 12312 12528 12555 12645 12960 13224 13392 13485 13488 13680 13851 13920 14094 14136 14384 14415 14580 14592 14877 14880 15066 15174 15376 15390 15552 15660 15903 16017 16182 16298 16416 16530 16704 16740 16860 17081 17280 17298 17422 17632 17670 17856 17980 17984 18240 18259 18468 18560 18792 18848 19220 19440 19836 19840 20088 20232 20520 20736 20880 21141 21204 21356 21576 21888 22040 22272 22320 22480 22599 22761 23064 23085 23328 23490 23560 23808 24273 24320 24447 24624 24795 25056 25110 25290 25920 25947 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5910657408 5951703640 6014353152 6019829280 6099966720 6143694080 6176216304 6220490256 6233896485 6299516448 6343263090 6434989920 6501280320 6547884480 6567397120 6649489584 6695666595 6766147296 6862462560 6911655840 6998051538 6999462720 7142044368 7223795136 7366370040 7388321760 7480675782 7517941440 7603994880 7611915708 7720270380 7721987904 7775612820 7857461376 7874395560 7969311360 8026439040 8034799914 8128408320 8234955072 8293987008 8311861980 8399355264 8457684120 8518919040 8579986560 8668373760 8730512640 8865986112 8927555460 9021529728 9029743920 9149950080 9215541120 9330735384 9332616960 9514894635 9522725824 9631726848 9652484880 9821826720 9851095680 9974234376 10023921920 10149220944 10293693840 10295983872 10367483760 10499194080 10713066552 10979940096 11058649344 11082482640 11276912160 11417873562 11663419230 11786192064 11821314816 11903407280 12039658560 12052199871 12352432608 12440980512 12467792970 12599032896 12686526180 12869979840 13002560640 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30887951616 31102451280 31497582240 32139199656 32939820288 33175948032 33247447920 33830736480 34990257690 35463944448 35710221840 36118975680 36156599613 37322941536 37403378910 38059578540 38090903296 38609939520 39287306880 39896937504 40173999570 40596883776 41174775360 41469935040 41996776320 42852266208 44329930560 45107648640 45671494248 46653676920 47144768256 47613629120 48158634240 48208799484 49409730432 49763922048 49871171880 50396131584 50746104720 51479919360 53195916672 53565332760 54129178368 54899700480 55293246720 55984412304 57089367810 57136354944 58930960320 59106574080 59845406256 60260999355 60895325664 61762163040 62204902560 62995164480 64278399312 66494895840 67661472960 69980515380 71420443680 72237951360 72313199226 74645883072 74806757820 76119157080 77219879040 78574613760 79793875008 80347999140 81193767552 82349550720 82939870080 83993552640 85704532416 88659861120 90215297280 91342988496 93307353840 95227258240 96417598968 98819460864 99527844096 99742343760 101492209440 106391833344 107130665520 108469798839 111968824608 114178735620 114272709888 117861920640 119690812512 120521998710 121790651328 123524326080 124409805120 125990328960 128556798624 132989791680 135322945920 139961030760 142840887360 144475902720 144626398452 149291766144 149613515640 152238314160 154439758080 159587750016 160695998280 162387535104 164699101440 165879740160 171409064832 177319722240 180782998065 182685976992 186614707680 190454516480 192835197936 199484687520 202984418880 214261331040 216939597678 223937649216 228357471240 235723841280 239381625024 241043997420 243581302656 247048652160 248819610240 251980657920 257113597248 265979583360 270645891840 279922061520 285681774720 289252796904 298583532288 299227031280 304476628320 319175500032 321391996560 342818129664 361565996130 365371953984 373229415360 385670395872 398969375040 405968837760 428522662080 433879195356 447875298432 456714942480 478763250048 482087994840 487162605312 494097304320 497639220480 514227194496 531959166720 542348994195 559844123040 571363549440 578505593808 598454062560 608953256640 642783993120 723131992260 730743907968 746458830720 771340791744 797938750080 811937675520 857045324160 867758390712 895750596864 913429884960 957526500096 964175989680 1028454388992 1084697988390 1119688246080 1157011187616 1196908125120 1217906513280 1285567986240 1446263984520 1461487815936 1492917661440 1542681583488 1595877500160 1714090648320 1735516781424 1826859769920 1928351979360 2169395976780 2239376492160 2314022375232 2393816250240 2435813026560 2571135972480 2892527969040 3085363166976 3471033562848 3653719539840 3856703958720 4338791953560 4478752984320 4628044750464 4787632500480 5142271944960 5785055938080 6942067125696 7307439079680 7713407917440 8677583907120 9256089500928 11570111876160 13884134251392 15426815834880 17355167814240 23140223752320 27768268502784 34710335628480 46280447504640 69420671256960 138841342513920
- Sum of all divisors σ(n): 563043461752800
- Sum of proper divisors (its aliquot sum) s(n): 424202119238880
- 138841342513920 is an abundant number, because the sum of its proper divisors (424202119238880) is greater than itself. Its abundance is 285360776724960
Bases of 138841342513920
- Binary: 111111001000110100001001110011010010011000000002
- Hexadecimal: 0x7E4684E69300
- Base-36: 1D7QTYK000
Squares and roots of 138841342513920
- 138841342513920 squared (1388413425139202) is 19276918391067649225393766400
- 138841342513920 cubed (1388413425139203) is 2676433228947107130776417295324873228288000
-
The
square root of 138841342513920 is 11783095.6252556993 -
The
cube root of 138841342513920 is 51781.2982524209
Scales and comparisons
How big is 138841342513920?- 138,841,342,513,920 seconds is equal to 4,414,725 years, 11 weeks, 5 days, 19 hours, 12 minutes.
-
To count from 1 to 138,841,342,513,920 would take you about eleven million, thirty-six thousand, eight hundred thirteen 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 138841342513920 cubic inches would be around 4315.1 feet tall.
Recreational maths with 138841342513920
- 138841342513920 backwards is 029315243148831
- 138841342513920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138841342513920's digits is 54
- More coming soon!
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"Number 138841342513920 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 138841342513920 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138841342513920/
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Numbermatics. 2024. "Number 138841342513920 - Facts about the integer". https://numbermatics.com/n/138841342513920/
The information we have on file for 138841342513920 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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