138331828800
138,331,828,800 is an even composite number composed of seven prime numbers multiplied together.
138331828800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138331828800:
26 × 32 × 52 × 11 × 17 × 47 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 17 × 47 × 1093)See below for interesting mathematical facts about the number 138331828800 from the Numbermatics database.
Names of 138331828800
- Cardinal: 138331828800 can be written as One hundred thirty-eight billion, three hundred thirty-one million, eight hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383318288 × 1011
Factors of 138331828800
Divisors of 138331828800
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 30 32 33 34 36 40 44 45 47 48 50 51 55 60 64 66 68 72 75 80 85 88 90 94 96 99 100 102 110 120 132 136 141 144 150 153 160 165 170 176 180 187 188 192 198 200 204 220 225 235 240 255 264 272 275 282 288 300 306 320 330 340 352 360 374 376 396 400 408 423 425 440 450 470 480 495 510 517 528 544 550 561 564 576 600 612 660 680 704 705 720 748 752 765 792 799 800 816 825 846 850 880 900 935 940 960 990 1020 1034 1056 1088 1093 1100 1122 1128 1175 1200 1224 1275 1320 1360 1410 1440 1496 1504 1530 1551 1584 1598 1600 1632 1650 1683 1692 1700 1760 1800 1870 1880 1980 2040 2068 2112 2115 2186 2200 2244 2256 2350 2397 2400 2448 2475 2550 2585 2640 2720 2805 2820 2880 2992 3008 3060 3102 3168 3196 3264 3279 3300 3366 3384 3400 3520 3525 3600 3740 3760 3825 3960 3995 4080 4136 4230 4372 4400 4488 4512 4653 4675 4700 4794 4800 4896 4950 5100 5170 5280 5440 5465 5610 5640 5984 6120 6204 6336 6392 6558 6600 6732 6768 6800 7050 7191 7200 7480 7520 7650 7755 7920 7990 8160 8272 8415 8460 8744 8789 8800 8976 9024 9306 9350 9400 9588 9792 9837 9900 10200 10340 10560 10575 10930 11220 11280 11968 11985 12023 12240 12408 12784 12925 13116 13200 13464 13536 13600 14025 14100 14382 14400 14960 15040 15300 15510 15840 15980 16320 16395 16544 16830 16920 17488 17578 17600 17952 18581 18612 18700 18800 19176 19674 19800 19975 20400 20680 21150 21860 22440 22560 23265 23970 24046 24480 24816 25568 25850 26232 26367 26400 26928 27072 27200 27325 28050 28200 28764 29920 30600 31020 31680 31960 32790 33088 33660 33840 34976 35156 35904 35955 36069 37162 37224 37400 37600 38352 38775 39348 39600 39950 40800 41360 42075 42300 43720 43945 44880 45120 46530 47940 48092 48960 49185 49632 51136 51371 51700 52464 52734 52800 53856 54650 55743 56100 56400 57528 59840 59925 60115 61200 62040 63920 65580 67320 67680 69952 70312 71910 72138 74324 74448 74800 75200 76704 77550 78696 79101 79200 79900 81600 81975 82720 84150 84600 87440 87890 89760 92905 93060 95880 96184 98370 99264 102742 103400 104928 105468 107712 108207 109300 111486 112200 112800 115056 116325 119850 120230 122400 124080 127840 131160 131835 134640 135360 140624 143820 144276 148648 148896 149600 153408 154113 155100 157392 158202 158400 159800 163950 165440 167229 168300 169200 174880 175780 179520 179775 180345 185810 186120 191760 192368 196740 204391 205484 206800 209856 210936 216414 218600 219725 222972 224400 225600 230112 232650 239700 240460 244800 245925 248160 255680 256855 262320 263670 269280 278715 281248 287640 288552 297296 297792 299200 300575 308226 310200 314784 316404 319600 327900 334458 336600 338400 349760 351560 359550 360690 371620 372240 383520 384736 393480 395505 408782 410968 413600 421872 432828 437200 439450 445944 448800 460224 462339 464525 465300 479400 480920 491850 496320 513710 524640 527340 538560 541035 557430 562496 565081 575280 577104 594592 601150 613173 616452 620400 629568 632808 639200 655800 659175 668916 673200 676800 703120 719100 721380 743240 744480 767040 769472 770565 786960 791010 817564 821936 827200 836145 843744 865656 873307 874400 878900 891888 897600 901725 924678 929050 930600 958800 961840 983700 1021955 1027420 1049280 1054680 1082070 1114860 1130162 1150560 1154208 1189184 1202300 1226346 1232904 1240800 1265616 1278400 1284275 1311600 1318350 1337832 1346400 1393575 1406240 1438200 1442760 1486480 1488960 1541130 1573920 1582020 1635128 1643872 1672290 1687488 1695243 1731312 1746614 1748800 1757800 1783776 1803450 1839519 1849356 1858100 1861200 1917600 1923680 1967400 1977525 2043910 2054840 2109360 2164140 2229720 2260324 2301120 2308416 2311695 2404600 2452692 2465808 2481600 2531232 2568550 2619921 2623200 2636700 2675664 2692800 2705175 2787150 2812480 2825405 2876400 2885520 2972960 3065865 3082260 3147840 3164040 3270256 3287744 3344580 3390486 3462624 3493228 3515600 3567552 3606900 3679038 3698712 3716200 3722400 3835200 3847360 3852825 3934800 3955050 4087820 4109680 4180725 4218720 4328280 4366535 4459440 4520648 4623390 4809200 4905384 4931616 5062464 5085729 5109775 5137100 5239842 5246400 5273400 5351328 5410350 5574300 5650810 5752800 5771040 5945920 6131730 6164520 6328080 6540512 6689160 6780972 6925248 6986456 7031200 7213800 7358076 7397424 7432400 7444800 7705650 7859763 7869600 7910100 8175640 8219360 8361450 8437440 8476215 8656560 8733070 8918880 9041296 9197595 9246780 9606377 9618400 9810768 9863232 10171458 10219550 10274200 10479684 10546800 10702656 10820700 11148600 11301620 11505600 11542080 11558475 12263460 12329040 12656160 13081024 13099605 13378320 13561944 13972912 14062400 14127025 14427600 14716152 14794848 14864800 15329325 15411300 15719526 15739200 15820200 16351280 16438720 16722900 16952430 17313120 17466140 17837760 18082592 18395190 18493560 19212754 19236800 19621536 20342916 20439100 20548400 20959368 21093600 21641400 21832675 22297200 22603240 23116950 24526920 24658080 25312320 25428645 26199210 26756640 27123888 27945824 28254050 28819131 28855200 29432304 29589696 29729600 30658650 30822600 31439052 31640400 32702560 33445800 33904860 34626240 34932280 36165184 36790380 36987120 38425508 39243072 39298815 40685832 40878200 41096800 41918736 42187200 42381075 43282800 43665350 44594400 45206480 45987975 46233900 48031885 49053840 49316160 50857290 52398420 53513280 54247776 55891648 56508100 57638262 57710400 58864608 61317300 61645200 62878104 63280800 65405120 65498025 66891600 67809720 69864560 73580760 73974240 76851016 78597630 81371664 81756400 82193600 83837472 84762150 86457393 86565600 87330700 89188800 90412960 91975950 92467800 96063770 98107680 101714580 104796840 108495552 113016200 115276524 117729216 122634600 123290400 125756208 126561600 127143225 130996050 133783200 135619440 139729120 144095655 147161520 147948480 153702032 157195260 162743328 163512800 167674944 169524300 172914786 173131200 174661400 180825920 183951900 184935600 192127540 196215360 196494075 203429160 209593680 226032400 230553048 240159425 245269200 246580800 251512416 254286450 261992100 267566400 271238880 279458240 288191310 294323040 307404064 314390520 325486656 327025600 339048600 345829572 349322800 367903800 369871200 384255080 392988150 406858320 419187360 432286965 452064800 461106096 480318850 490538400 503024832 508572900 523984200 542477760 576382620 588646080 614808128 628781040 678097200 691659144 698645600 720478275 735807600 739742400 768510160 785976300 813716640 838374720 864573930 904129600 922212192 960637700 981076800 1017145800 1047968400 1152765240 1257562080 1356194400 1383318288 1397291200 1440956550 1471615200 1537020320 1571952600 1627433280 1729147860 1844424384 1921275400 2034291600 2095936800 2161434825 2305530480 2515124160 2712388800 2766636576 2881913100 2943230400 3074040640 3143905200 3458295720 3842550800 4068583200 4191873600 4322869650 4611060960 5533273152 5763826200 6287810400 6916591440 7685101600 8137166400 8645739300 9222121920 11527652400 12575620800 13833182880 15370203200 17291478600 23055304800 27666365760 34582957200 46110609600 69165914400 138331828800
- Sum of all divisors σ(n): 580525201152
- Sum of proper divisors (its aliquot sum) s(n): 442193372352
- 138331828800 is an abundant number, because the sum of its proper divisors (442193372352) is greater than itself. Its abundance is 303861543552
Bases of 138331828800
- Binary: 100000001101010011100000110010010000002
- Hexadecimal: 0x2035383240
- Base-36: 1RJR7680
Squares and roots of 138331828800
- 138331828800 squared (1383318288002) is 19135694859152509440000
- 138331828800 cubed (1383318288003) is 2647075665225325048944463872000000
-
The
square root of 138331828800 is 371929.8708090007 -
The
cube root of 138331828800 is 5171.7879051631
Scales and comparisons
How big is 138331828800?- 138,331,828,800 seconds is equal to 4,398 years, 27 weeks, 1 day, 20 hours.
-
To count from 1 to 138,331,828,800 would take you about eight thousand, seven hundred ninety-seven 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 138331828800 cubic inches would be around 431 feet tall.
Recreational maths with 138331828800
- 138331828800 backwards is 008828133831
- 138331828800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138331828800's digits is 45
- 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 138331828800 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 138331828800 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138331828800/
Chicago style:
Numbermatics. 2024. "Number 138331828800 - Facts about the integer". https://numbermatics.com/n/138331828800/
The information we have on file for 138331828800 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 138331828800, math, Factors of 138331828800, curriculum, school, college, exams, university, Prime factorization of 138331828800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, three hundred thirty-one million, eight hundred twenty-eight thousand, eight hundred.