138904306738560
138,904,306,738,560 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138904306738560 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3072 divisors.
138904306738560 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 138904306738560:
27 × 33 × 5 × 11 × 192 × 293 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 19 × 19 × 29 × 29 × 29 × 83)See below for interesting mathematical facts about the number 138904306738560 from the Numbermatics database.
Names of 138904306738560
- Cardinal: 138904306738560 can be written as One hundred thirty-eight trillion, nine hundred four billion, three hundred six million, seven hundred thirty-eight thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3890430673856 × 1014
Factors of 138904306738560
Divisors of 138904306738560
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 27 29 30 32 33 36 38 40 44 45 48 54 55 57 58 60 64 66 72 76 80 83 87 88 90 95 96 99 108 110 114 116 120 128 132 135 144 145 152 160 165 166 171 174 176 180 190 192 198 209 216 220 228 232 240 249 261 264 270 285 288 290 297 304 319 320 330 332 342 348 352 360 361 380 384 396 415 418 432 435 440 456 464 480 495 498 513 522 528 540 551 570 576 580 594 608 627 638 640 660 664 684 696 704 720 722 747 760 783 792 830 836 841 855 864 870 880 912 913 928 957 960 990 996 1026 1044 1045 1056 1080 1083 1102 1140 1152 1160 1188 1216 1245 1254 1276 1305 1320 1328 1368 1392 1408 1440 1444 1485 1494 1520 1566 1577 1584 1595 1653 1660 1672 1682 1710 1728 1740 1760 1805 1824 1826 1856 1881 1914 1920 1980 1992 2052 2088 2090 2112 2160 2166 2204 2241 2280 2320 2376 2407 2432 2490 2508 2523 2552 2565 2610 2640 2656 2736 2739 2755 2784 2871 2880 2888 2970 2988 3040 3132 3135 3154 3168 3190 3249 3306 3320 3344 3364 3420 3456 3480 3520 3610 3648 3652 3712 3735 3762 3828 3915 3960 3971 3984 4104 4176 4180 4205 4224 4320 4332 4408 4482 4560 4565 4640 4731 4752 4785 4814 4959 4980 5016 5046 5104 5130 5220 5280 5312 5415 5472 5478 5510 5568 5643 5742 5760 5776 5940 5976 6061 6080 6264 6270 6308 6336 6380 6498 6612 6640 6688 6728 6840 6960 7040 7220 7221 7296 7304 7470 7524 7569 7656 7830 7885 7920 7942 7968 8208 8217 8265 8352 8360 8410 8613 8640 8664 8816 8964 9120 9130 9251 9280 9405 9462 9504 9570 9628 9747 9918 9960 10032 10092 10208 10260 10440 10469 10560 10624 10830 10944 10956 11020 11136 11205 11286 11484 11552 11880 11913 11952 12035 12122 12160 12528 12540 12615 12616 12672 12760 12996 13224 13280 13376 13456 13680 13695 13920 14193 14355 14440 14442 14608 14877 14940 15048 15138 15312 15660 15770 15840 15884 15936 15979 16245 16416 16434 16530 16704 16720 16820 17226 17280 17328 17347 17632 17928 18183 18240 18260 18502 18560 18810 18924 19008 19140 19256 19494 19836 19855 19920 20064 20184 20416 20520 20880 20938 21120 21660 21663 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5810923140 5829946560 5846140856 5872090752 6012132390 6047731920 6117246080 6153832480 6198318016 6302373264 6339188880 6346139745 6412053120 6412941216 6576908463 6634077120 6652505112 6769215728 6803698410 6881901840 6923061540 6973107768 6995935872 7002636960 7125490240 7213559760 7257278304 7307676070 7340113440 7384598976 7484068251 7507529280 7607026656 7615367694 7639240320 7747897520 7877966580 8007396480 8016176520 8038443677 8063642560 8258282208 8307673848 8315631390 8403164352 8452251840 8461519660 8550588288 8692928640 8716384710 8744919840 8769211284 8808136128 8870006816 9071597880 9175869120 9230748720 9297477024 9336849280 9508783320 9618079680 9619411824 9676371072 9786817920 9978757668 10142702208 10153823592 10322852760 10384592310 10459661652 10503955440 10688235360 10885917456 10961514105 11010170160 11011042944 11076898464 11087508520 11423051541 11458860480 11541695616 11621846280 11659893120 11692281712 12024264780 12095463840 12307664960 12396636032 12473447085 12604746528 12678377760 12692279490 12825882432 13074577065 13153816926 13268154240 13305010224 13538431456 13607396820 13763803680 13846123080 13946215536 14005273920 14250980480 14427119520 14514556608 14615352140 14680226880 14769197952 14968136502 15015058560 15214053312 15230735388 15495795040 15755933160 16032353040 16076887354 16127285120 16516564416 16615347696 16631262780 16806328704 16904503680 16923039320 17432769420 17489839680 17538422568 17616272256 17740013632 18143195760 18351738240 18461497440 18594954048 19017566640 19038419235 19236159360 19238823648 19730725389 19957515336 20307647184 20645705520 20769184620 20919323304 21007910880 21376470720 21771834912 21923028210 22020340320 22153796928 22175017040 22846103082 22917720960 23243692560 23384563424 24048529560 24115331031 24190927680 24615329920 24946894170 25209493056 25356755520 25384558980 25651764864 26149154130 26307633852 26610020448 27076862912 27214793640 27527607360 27692246160 27892431072 28010547840 28854239040 29029113216 29230704280 29360453760 29936273004 30428106624 30461470776 30991590080 31511866320 32064706080 32153774708 32884542315 33033128832 33230695392 33262525560 33846078640 34865538840 34979679360 35076845136 35480027264 36286391520 36922994880 37189908096 37420341255 38035133280 38076838470 38477647296 39461450778 39915030672 40192218385 40615294368 41291411040 41538369240 41838646608 42015821760 42752941440 43543669824 43846056420 44040680640 44307593856 44350034080 45692206164 46487385120 46769126848 48097059120 48230662062 48381855360 49893788340 50418986112 50713511040 50769117960 52298308260 52615267704 53220040896 54153725824 54429587280 55055214720 55384492320 55784862144 57115257705 57708478080 58461408560 59872546008 60922941552 61983180160 63023732640 64129412160 64307549416 65769084630 66461390784 66525051120 67692157280 69731077680 70153690272 72345993093 72572783040 73845989760 74840682510 76070266560 76153676940 76955294592 78922901556 79830061344 80384436770 81230588736 82582822080 83076738480 83677293216 84031643520 87087339648 87692112840 88081361280 88700068160 91384412328 92974770240 93538253696 96194118240 96461324124 98653626945 99787576680 101538235920 104596616520 105230535408 106440081792 108859174560 110768984640 111569724288 114230515410 116922817120 119745092016 120576655155 121845883104 126047465280 128258824320 128615098832 131538169260 132922781568 133050102240 135384314560 139462155360 140307380544 144691986186 145145566080 149681365020 152140533120 152307353880 157845803112 159660122688 160768873540 162461177472 165165644160 166153476960 167354586432 175384225680 177400136320 182768824656 185949540480 192388236480 192922648248 197307253890 199575153360 203076471840 209193233040 210461070816 217037979279 217718349120 221537969280 228461030820 233845634240 239490184032 241153310310 243691766208 252094930560 257230197664 263076338520 266100204480 270768629120 278924310720 280614761088 289383972372 299362730040 304614707760 315691606224 319320245376 321537747080 332306953920 334709172864 350768451360 361729965465 365537649312 384776472960 385845296496 394614507780 399150306720 406152943680 418386466080 420922141632 434075958558 435436698240 456922061640 467691268480 478980368064 482306620620 487383532416 514460395328 526152677040 532200408960 557848621440 578767944744 598725460080 609229415520 631383212448 643075494160 664613907840 701536902720 723459930930 731075298624 771690592992 789229015560 798300613440 812305887360 836772932160 841844283264 868151917116 913844123280 957960736128 964613241240 1028920790656 1052305354080 1085189896395 1157535889488 1197450920160 1218458831040 1262766424896 1286150988320 1403073805440 1446919861860 1462150597248 1543381185984 1578458031120 1596601226880 1673545864320 1736303834232 1827688246560 1929226482480 2104610708160 2170379792790 2315071778976 2394901840320 2436917662080 2525532849792 2572301976640 2893839723720 3086762371968 3156916062240 3472607668464 3655376493120 3858452964960 4209221416320 4340759585580 4630143557952 4789803680640 5144603953280 5787679447440 6313832124480 6945215336928 7310752986240 7716905929920 8681519171160 9260287115904 11575358894880 12627664248960 13890430673856 15433811859840 17363038342320 23150717789760 27780861347712 34726076684640 46301435579520 69452153369280 138904306738560
- Sum of all divisors σ(n): 593704411776000
- Sum of proper divisors (its aliquot sum) s(n): 454800105037440
- 138904306738560 is an abundant number, because the sum of its proper divisors (454800105037440) is greater than itself. Its abundance is 315895798298880
Bases of 138904306738560
- Binary: 111111001010101001011011101110001100101100000002
- Hexadecimal: 0x7E552DDC6580
- Base-36: 1D8JR9TUO0
Squares and roots of 138904306738560
- 138904306738560 squared (1389043067385602) is 19294406430519965024190873600
- 138904306738560 cubed (1389043067385603) is 2680076149163389774154331877208133206016000
-
The
square root of 138904306738560 is 11785767.1255866921 -
The
cube root of 138904306738560 is 51789.1246354079
Scales and comparisons
How big is 138904306738560?- 138,904,306,738,560 seconds is equal to 4,416,727 years, 15 weeks, 2 days, 9 hours, 36 minutes.
-
To count from 1 to 138,904,306,738,560 would take you about eleven million, forty-one thousand, eight hundred 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 138904306738560 cubic inches would be around 4315.8 feet tall.
Recreational maths with 138904306738560
- 138904306738560 backwards is 065837603409831
- The number of decimal digits it has is: 15
- The sum of 138904306738560's digits is 63
- More coming soon!
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Cite this page
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"Number 138904306738560 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 138904306738560 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/138904306738560/
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Numbermatics. 2024. "Number 138904306738560 - Facts about the integer". https://numbermatics.com/n/138904306738560/
The information we have on file for 138904306738560 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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