138381408000
138,381,408,000 is an even composite number composed of five prime numbers multiplied together.
138381408000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138381408000:
28 × 32 × 53 × 113 × 192
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 19 × 19)See below for interesting mathematical facts about the number 138381408000 from the Numbermatics database.
Names of 138381408000
- Cardinal: 138381408000 can be written as One hundred thirty-eight billion, three hundred eighty-one million, four hundred eight thousand.
Scientific notation
- Scientific notation: 1.38381408 × 1011
Factors of 138381408000
Divisors of 138381408000
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 25 30 32 33 36 38 40 44 45 48 50 55 57 60 64 66 72 75 76 80 88 90 95 96 99 100 110 114 120 121 125 128 132 144 150 152 160 165 171 176 180 190 192 198 200 209 220 225 228 240 242 250 256 264 275 285 288 300 304 320 330 342 352 360 361 363 375 380 384 396 400 418 440 450 456 475 480 484 495 500 528 550 570 576 600 605 608 627 640 660 684 704 720 722 726 750 760 768 792 800 825 836 855 880 900 912 950 960 968 990 1000 1045 1056 1083 1089 1100 1125 1140 1152 1200 1210 1216 1254 1280 1320 1331 1368 1375 1408 1425 1440 1444 1452 1500 1520 1584 1600 1650 1672 1710 1760 1800 1805 1815 1824 1881 1900 1920 1936 1980 2000 2090 2112 2166 2178 2200 2250 2280 2299 2304 2375 2400 2420 2432 2475 2508 2640 2662 2736 2750 2816 2850 2880 2888 2904 3000 3025 3040 3135 3168 3200 3249 3300 3344 3420 3520 3600 3610 3630 3648 3762 3800 3840 3872 3960 3971 3993 4000 4125 4180 4224 4275 4332 4356 4400 4500 4560 4598 4750 4800 4840 4864 4950 5016 5225 5280 5324 5415 5445 5472 5500 5700 5760 5776 5808 6000 6050 6080 6270 6336 6400 6498 6600 6655 6688 6840 6897 7040 7125 7200 7220 7260 7296 7524 7600 7744 7920 7942 7986 8000 8250 8360 8448 8550 8664 8712 8800 9000 9025 9075 9120 9196 9405 9500 9600 9680 9900 10032 10450 10560 10648 10830 10890 10944 11000 11400 11495 11520 11552 11616 11913 11979 12000 12100 12160 12375 12540 12672 12996 13200 13310 13376 13680 13794 14080 14250 14400 14440 14520 14592 15048 15125 15200 15488 15675 15840 15884 15972 16000 16245 16500 16720 17100 17328 17424 17600 18000 18050 18150 18240 18392 18810 19000 19200 19360 19800 19855 19965 20064 20691 20900 21120 21296 21375 21660 21780 21888 22000 22800 22990 23104 23232 23826 23958 24000 24200 24320 24750 25080 25289 25344 25992 26125 26400 26620 26752 27075 27225 27360 27588 28500 28800 28880 29040 30096 30250 30400 30976 31350 31680 31768 31944 32000 32490 33000 33275 33440 34200 34485 34656 34848 35200 35739 36000 36100 36300 36480 36784 37620 38000 38720 39600 39710 39930 40128 41382 41800 42240 42592 42750 43320 43560 43681 43776 44000 45125 45375 45600 45980 46208 46464 47025 47652 47916 48000 48400 49500 50160 50578 51984 52250 52800 53240 53504 54150 54450 54720 55176 57000 57475 57600 57760 58080 59565 59895 60192 60500 60800 62700 63360 63536 63888 64980 66000 66550 66880 68400 68970 69312 69696 70400 71478 72000 72200 72600 72960 73568 75240 75867 76000 77440 78375 79200 79420 79860 80256 81225 82764 83600 85184 85500 86640 87120 87362 88000 90250 90750 91200 91960 92416 92928 94050 95304 95832 96000 96800 99000 99275 99825 100320 101156 103455 103968 104500 105600 106480 108300 108900 109440 110352 114000 114950 115520 116160 119130 119790 120384 121000 121600 125400 126445 126720 127072 127776 129960 131043 132000 133100 133760 135375 136125 136800 137940 138624 139392 142956 144000 144400 145200 147136 150480 151734 152000 154880 156750 158400 158840 159720 160512 162450 165528 166375 167200 170368 171000 172425 173280 174240 174724 176000 178695 180500 181500 182400 183920 188100 190608 191664 193600 198000 198550 199650 200640 202312 206910 207936 209000 211200 212960 216600 217800 218405 218880 220704 227601 228000 229900 231040 232320 235125 238260 239580 240768 242000 250800 252890 254144 255552 259920 262086 264000 266200 267520 270750 272250 273600 275880 277248 278784 285912 287375 288000 288800 290400 294272 297825 299475 300960 303468 304000 313500 316800 317680 319440 324900 331056 332750 334400 340736 342000 344850 346560 348480 349448 352000 357390 361000 363000 364800 367840 376200 379335 381216 383328 387200 393129 396000 397100 399300 401280 404624 406125 413820 415872 418000 425920 433200 435600 436810 441408 455202 456000 459800 462080 464640 470250 476520 479160 480491 481536 484000 496375 499125 501600 505780 508288 511104 517275 519840 524172 528000 532400 541500 544500 547200 551760 571824 574750 577600 580800 588544 595650 598950 601920 606936 608000 627000 632225 633600 635360 638880 649800 655215 662112 665500 668800 684000 689700 693120 696960 698896 714780 722000 726000 735680 752400 758670 762432 766656 774400 786258 792000 794200 798600 802560 809248 812250 827640 831744 836000 851840 862125 866400 871200 873620 882816 893475 910404 912000 919600 940500 953040 958320 960982 968000 992750 998250 1003200 1011560 1016576 1022208 1034550 1039680 1048344 1056000 1064800 1083000 1089000 1092025 1094400 1103520 1138005 1143648 1149500 1155200 1161600 1191300 1197900 1203840 1213872 1254000 1264450 1270720 1277760 1299600 1310430 1324224 1331000 1337600 1368000 1379400 1386240 1393920 1397792 1429560 1441473 1444000 1452000 1471360 1489125 1497375 1504800 1517340 1524864 1533312 1572516 1584000 1588400 1597200 1618496 1624500 1655280 1672000 1703680 1724250 1732800 1742400 1747240 1765632 1786950 1820808 1824000 1839200 1881000 1896675 1906080 1916640 1921964 1936000 1965645 1985500 1996500 2006400 2023120 2069100 2079360 2096688 2129600 2166000 2178000 2184050 2207040 2276010 2287296 2299000 2310400 2323200 2382600 2395800 2402455 2407680 2427744 2508000 2528900 2541440 2555520 2586375 2599200 2620860 2648448 2662000 2736000 2758800 2795584 2859120 2882946 2888000 2904000 2942720 2978250 2994750 3009600 3034680 3049728 3066624 3145032 3161125 3168000 3176800 3194400 3236992 3249000 3276075 3310560 3344000 3448500 3465600 3484800 3494480 3573900 3641616 3678400 3762000 3793350 3812160 3833280 3843928 3872000 3931290 3971000 3993000 4012800 4046240 4138200 4158720 4193376 4259200 4324419 4332000 4356000 4368100 4414080 4467375 4552020 4574592 4598000 4765200 4791600 4804910 4855488 5016000 5057800 5082880 5111040 5172750 5198400 5241720 5296896 5324000 5460125 5472000 5517600 5591168 5690025 5718240 5765892 5776000 5808000 5956500 5989500 6019200 6069360 6290064 6322250 6353600 6388800 6473984 6498000 6552150 6621120 6688000 6897000 6931200 6969600 6988960 7147800 7207365 7283232 7356800 7524000 7586700 7624320 7666560 7687856 7862580 7942000 7986000 8092480 8276400 8386752 8518400 8648838 8664000 8712000 8736200 8828160 8934750 9104040 9149184 9196000 9483375 9530400 9583200 9609820 9710976 9828225 10032000 10115600 10345500 10396800 10483440 10648000 10920250 11035200 11182336 11380050 11436480 11531784 11552000 11616000 11913000 11979000 12012275 12038400 12138720 12580128 12644500 12707200 12777600 12996000 13104300 13242240 13794000 13977920 14295600 14414730 14566464 14713600 15048000 15173400 15248640 15333120 15375712 15725160 15884000 15972000 16184960 16380375 16552800 16773504 17297676 17328000 17424000 17472400 17869500 18208080 18392000 18966750 19060800 19166400 19219640 19421952 19656450 20064000 20231200 20691000 20793600 20966880 21296000 21622095 21840500 22070400 22760100 22872960 23063568 23826000 23958000 24024550 24277440 25160256 25289000 25414400 25555200 25992000 26208600 26484480 27588000 27955840 28450125 28591200 28829460 29132928 30096000 30346800 30751424 31450320 31768000 31944000 32369920 32760750 33105600 33547008 34595352 34656000 34848000 34944800 35739000 36036825 36416160 36784000 37933500 38121600 38332800 38439280 39312900 40462400 41382000 41933760 42592000 43244190 43681000 44140800 45520200 45745920 46127136 47652000 47916000 48049100 48554880 49141125 50320512 50578000 51984000 52417200 55176000 55911680 56900250 57182400 57658920 58265856 60061375 60192000 60693600 61502848 62900640 63536000 63888000 65521500 66211200 69190704 69889600 71478000 72073650 72832320 73568000 75867000 76243200 76665600 76878560 78625800 80924800 82764000 83867520 86488380 87362000 91040400 92254272 95304000 95832000 96098200 97109760 98282250 100641024 101156000 103968000 104834400 108110475 110352000 113800500 114364800 115317840 120122750 121387200 123005696 125801280 127072000 127776000 131043000 132422400 138381408 139779200 142956000 144147300 145664640 151734000 153757120 157251600 161849600 165528000 167735040 172976760 174724000 180184125 182080800 184508544 190608000 191664000 192196400 196564500 202312000 209668800 216220950 220704000 227601000 228729600 230635680 240245500 242774400 251602560 262086000 276762816 279558400 285912000 288294600 291329280 303468000 307514240 314503200 331056000 345953520 349448000 360368250 364161600 369017088 381216000 383328000 384392800 393129000 404624000 419337600 432441900 455202000 461271360 480491000 485548800 503205120 524172000 540552375 553525632 571824000 576589200 606936000 615028480 629006400 662112000 691907040 698896000 720736500 728323200 768785600 786258000 809248000 838675200 864883800 910404000 922542720 960982000 1048344000 1081104750 1107051264 1143648000 1153178400 1213872000 1258012800 1383814080 1397792000 1441473000 1456646400 1537571200 1572516000 1729767600 1820808000 1845085440 1921964000 2096688000 2162209500 2306356800 2427744000 2516025600 2767628160 2882946000 3075142400 3145032000 3459535200 3641616000 3843928000 4193376000 4324419000 4612713600 5535256320 5765892000 6290064000 6919070400 7283232000 7687856000 8648838000 9225427200 11531784000 12580128000 13838140800 15375712000 17297676000 23063568000 27676281600 34595352000 46127136000 69190704000 138381408000
- Sum of all divisors σ(n): 578036021472
- Sum of proper divisors (its aliquot sum) s(n): 439654613472
- 138381408000 is an abundant number, because the sum of its proper divisors (439654613472) is greater than itself. Its abundance is 301273205472
Bases of 138381408000
- Binary: 100000001110000010110010110111000000002
- Hexadecimal: 0x20382CB700
- Base-36: 1RKKPTS0
Squares and roots of 138381408000
- 138381408000 squared (1383814080002) is 19149414080062464000000
- 138381408000 cubed (1383814080003) is 2649922882774068496269312000000000
-
The
square root of 138381408000 is 371996.5161127185 -
The
cube root of 138381408000 is 5172.4057009897
Scales and comparisons
How big is 138381408000?- 138,381,408,000 seconds is equal to 4,400 years, 5 weeks, 1 day, 16 hours.
-
To count from 1 to 138,381,408,000 would take you about eight thousand, eight hundred 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 138381408000 cubic inches would be around 431 feet tall.
Recreational maths with 138381408000
- 138381408000 backwards is 000804183831
- 138381408000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138381408000's digits is 36
- 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 138381408000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 138381408000 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/138381408000/
Chicago style:
Numbermatics. 2024. "Number 138381408000 - Facts about the integer". https://numbermatics.com/n/138381408000/
The information we have on file for 138381408000 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 138381408000, math, Factors of 138381408000, curriculum, school, college, exams, university, Prime factorization of 138381408000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, three hundred eighty-one million, four hundred eight thousand.