138413328768
138,413,328,768 is an even composite number composed of six prime numbers multiplied together.
138413328768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138413328768:
27 × 36 × 112 × 13 × 23 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 13 × 23 × 41)See below for interesting mathematical facts about the number 138413328768 from the Numbermatics database.
Names of 138413328768
- Cardinal: 138413328768 can be written as One hundred thirty-eight billion, four hundred thirteen million, three hundred twenty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38413328768 × 1011
Factors of 138413328768
Divisors of 138413328768
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 23 24 26 27 32 33 36 39 41 44 46 48 52 54 64 66 69 72 78 81 82 88 92 96 99 104 108 117 121 123 128 132 138 143 144 156 162 164 176 184 192 198 207 208 216 234 242 243 246 253 264 276 286 288 297 299 312 324 328 351 352 363 368 369 384 396 414 416 429 432 451 468 484 486 492 506 528 533 552 572 576 594 598 621 624 648 656 702 704 726 729 736 738 759 792 828 832 858 864 891 897 902 936 943 968 972 984 1012 1053 1056 1066 1089 1104 1107 1144 1152 1188 1196 1242 1248 1287 1296 1312 1353 1404 1408 1452 1458 1472 1476 1518 1573 1584 1599 1656 1664 1716 1728 1782 1794 1804 1863 1872 1886 1936 1944 1968 2024 2106 2112 2132 2178 2208 2214 2277 2288 2376 2392 2484 2496 2574 2592 2624 2673 2691 2706 2783 2808 2829 2904 2916 2944 2952 3036 3146 3159 3168 3198 3267 3289 3312 3321 3432 3456 3564 3588 3608 3726 3744 3772 3861 3872 3888 3936 4048 4059 4212 4224 4264 4356 4416 4428 4554 4576 4719 4752 4784 4797 4961 4968 4992 5148 5184 5248 5346 5382 5412 5566 5589 5616 5658 5808 5832 5863 5904 6072 6292 6318 6336 6396 6534 6578 6624 6642 6831 6864 7128 7176 7216 7452 7488 7544 7722 7744 7776 7872 8019 8073 8096 8118 8349 8424 8487 8528 8712 8832 8856 9108 9152 9438 9477 9504 9568 9594 9801 9867 9922 9936 9963 10296 10368 10373 10692 10764 10824 11132 11178 11232 11316 11583 11616 11664 11726 11808 12144 12177 12259 12584 12636 12672 12792 13068 13156 13248 13284 13662 13728 14157 14256 14352 14391 14432 14883 14904 14976 15088 15444 15488 15552 15744 16038 16146 16192 16236 16698 16767 16848 16974 17056 17424 17589 17712 18216 18304 18876 18954 19008 19136 19188 19602 19734 19844 19872 19926 20493 20592 20746 21384 21528 21648 22264 22356 22464 22632 23166 23232 23328 23452 23616 24219 24288 24354 24518 25047 25168 25272 25461 25584 26136 26312 26496 26568 27324 27456 28314 28512 28704 28782 28864 29403 29601 29766 29808 29889 30176 30888 31104 31119 32076 32292 32384 32472 33396 33534 33696 33948 34112 34749 34848 35178 35424 36179 36432 36531 36777 37752 37908 38016 38272 38376 39204 39468 39688 39744 39852 40986 41184 41492 42471 42768 43056 43173 43296 44528 44649 44712 44928 45264 46332 46464 46656 46904 47232 48438 48576 48708 49036 50094 50336 50544 50922 51168 52272 52624 52767 53136 54648 54912 56628 57024 57408 57564 57728 58806 59202 59532 59616 59778 60352 61479 61776 62238 64152 64493 64584 64944 66792 67068 67392 67896 68224 69498 69696 70356 70848 72358 72657 72864 73062 73554 75141 75504 75816 76383 76752 78408 78936 79376 79488 79704 81972 82368 82984 84942 85536 86112 86346 86592 88209 88803 89056 89298 89424 90528 92664 93312 93357 93808 96876 97152 97416 98072 100188 100672 101088 101844 102336 104247 104544 105248 105534 106272 108537 109296 109593 110331 113256 114048 114103 114816 115128 117612 118404 119064 119232 119556 120704 122958 123552 124476 127413 128304 128986 129168 129519 129888 133584 133947 134136 134784 134849 135792 138996 139392 140712 141696 144716 145314 145728 146124 147108 150282 151008 151632 152766 153504 156816 157872 158301 158752 159408 163944 164736 165968 169884 171072 172224 172692 173184 176418 177606 178112 178596 178848 181056 184437 185328 186714 187616 193479 193752 194832 196144 200376 201344 202176 203688 204672 208494 209088 210496 211068 212544 217074 217971 218592 219186 220662 225423 226512 228206 229149 230256 235224 236808 238128 238464 239112 245916 247104 248952 254826 256608 257972 258336 259038 259776 266409 267168 267894 268272 269698 271584 277992 280071 281424 289432 290628 291456 292248 294216 300564 302016 303264 305532 307008 313632 315744 316602 317504 318816 325611 327888 328779 330993 331936 339768 342144 342309 344448 345384 352836 355212 356224 357192 357696 362112 368874 370656 373428 375232 382239 386958 387504 388557 389664 392288 400752 401841 404352 404547 407376 416988 418176 420992 422136 425088 434148 435942 437184 438372 441324 450846 453024 456412 458298 460512 470448 473616 474903 476256 478224 491832 494208 497904 509652 513216 515944 516672 518076 519552 532818 534336 535788 536544 539396 543168 555984 560142 562848 578864 580437 581256 584496 588432 601128 604032 606528 611064 614016 627264 631488 633204 635008 637632 651222 655776 657558 661986 663872 676269 679536 684618 687447 690768 705672 710424 714384 715392 737748 741312 746856 750464 764478 773916 775008 777114 779328 784576 799227 801504 803682 809094 814752 833976 840213 844272 868296 871884 874368 876744 882648 901692 906048 912824 916596 921024 940896 947232 949806 952512 956448 976833 983664 992979 995808 1019304 1026432 1026927 1031888 1033344 1036152 1065636 1068672 1071576 1073088 1078792 1086336 1111968 1120284 1125696 1146717 1157728 1160874 1162512 1168992 1176864 1202256 1205523 1213056 1213641 1222128 1254528 1262976 1266408 1275264 1302444 1311552 1315116 1323972 1327744 1352538 1359072 1369236 1374894 1381536 1411344 1420848 1424709 1428768 1475496 1482624 1483339 1493712 1528956 1547832 1550016 1554228 1558656 1569152 1598454 1603008 1607364 1618188 1629504 1667952 1680426 1688544 1736592 1741311 1743768 1753488 1765296 1803384 1812096 1825648 1833192 1842048 1881792 1894464 1899612 1905024 1912896 1953666 1967328 1985958 1991616 2028807 2038608 2053854 2063776 2072304 2131272 2143152 2146176 2157584 2223936 2240568 2251392 2293434 2315456 2321748 2325024 2337984 2353728 2397681 2404512 2411046 2427282 2444256 2520639 2532816 2604888 2623104 2630232 2647944 2705076 2718144 2738472 2749788 2763072 2822688 2841696 2849418 2857536 2930499 2950992 2966678 2978937 2987424 3057912 3080781 3095664 3100032 3108456 3196908 3206016 3214728 3236376 3259008 3335904 3360852 3377088 3473184 3482622 3487536 3506976 3530592 3606768 3616569 3640923 3651296 3666384 3763584 3788928 3799224 3825792 3907332 3934656 3971916 3983232 4057614 4077216 4107708 4127552 4144608 4262544 4274127 4286304 4315168 4447872 4450017 4481136 4586868 4630912 4643496 4650048 4675968 4707456 4795362 4809024 4822092 4854564 4888512 5041278 5065632 5209776 5223933 5260464 5295888 5410152 5436288 5476944 5499576 5526144 5645376 5683392 5698836 5715072 5860998 5901984 5933356 5957874 5974848 6115824 6161562 6191328 6216912 6393816 6429456 6472752 6671808 6721704 6754176 6946368 6965244 6975072 7013952 7061184 7213536 7233138 7281846 7302592 7332768 7561917 7598448 7814664 7869312 7943832 8115228 8154432 8215416 8255104 8289216 8525088 8548254 8572608 8630336 8791497 8900034 8936811 8962272 9173736 9242343 9286992 9300096 9590724 9618048 9644184 9709128 9777024 10082556 10131264 10419552 10447866 10520928 10591776 10820304 10922769 10953888 10999152 11290752 11366784 11397672 11721996 11803968 11866712 11915748 11949696 12231648 12323124 12382656 12433824 12787632 12858912 12945504 13343616 13350051 13443408 13892736 13930488 13950144 14027904 14122368 14427072 14466276 14563692 14605184 14665536 15123834 15196896 15629328 15671799 15887664 16230456 16308864 16430832 16578432 17050176 17096508 17145216 17260672 17582994 17800068 17873622 17924544 18347472 18484686 18573984 19181448 19288368 19418256 20165112 20262528 20839104 20895732 21041856 21183552 21640608 21845538 21907776 21998304 22795344 23443992 23607936 23733424 23831496 24463296 24646248 24765312 24867648 25575264 25717824 25891008 26374491 26700102 26886816 27727029 27860976 27900288 28854144 28932552 29127384 29331072 30247668 30393792 31258656 31343598 31775328 32460912 32768307 32861664 34100352 34193016 35165988 35600136 35747244 35849088 36694944 36969372 37147968 38362896 38576736 38836512 40050153 40330224 41678208 41791464 42083712 42367104 43281216 43691076 43815552 43996608 45590688 46887984 47015397 47466848 47662992 48926592 49292496 49735296 51150528 51435648 51782016 52748982 53400204 53773632 55454058 55721952 57865104 58254768 60495336 60787584 62517312 62687196 63550656 64921824 65536614 65723328 68386032 70331976 71200272 71494488 73389888 73938744 74295936 76725792 77153472 77673024 80100306 80660448 83181087 83582928 86562432 87382152 87993216 91181376 93775968 94030794 94933696 95325984 98304921 98584992 102301056 105497964 106800408 107547264 110908116 111443904 115730208 116509536 120150459 120990672 125034624 125374392 127101312 129843648 131073228 131446656 136772064 140663952 142400544 142988976 146779776 147877488 153451584 154306944 155346048 160200612 161320896 166362174 167165856 174764304 182362752 187551936 188061588 189867392 190651968 196609842 197169984 210995928 213600816 221816232 222887808 231460416 233019072 240300918 241981344 250748784 259687296 262146456 273544128 281327904 284801088 285977952 295754976 306903168 320401224 322641792 332724348 334331712 349528608 360451377 375103872 376123176 381303936 393219684 394339968 421991856 427201632 443632464 462920832 466038144 480601836 483962688 501497568 524292912 547088256 562655808 569602176 571955904 591509952 640802448 665448696 668663424 699057216 720902754 752246352 786439368 843983712 854403264 887264928 961203672 967925376 1002995136 1048585824 1081354131 1125311616 1143911808 1183019904 1281604896 1330897392 1398114432 1441805508 1504492704 1572878736 1687967424 1708806528 1774529856 1922407344 2005990272 2097171648 2162708262 2563209792 2661794784 2883611016 3008985408 3145757472 3375934848 3549059712 3844814688 4194343296 4325416524 5126419584 5323589568 5767222032 6017970816 6291514944 7689629376 8650833048 10647179136 11534444064 12583029888 15379258752 17301666096 23068888128 34603332192 46137776256 69206664384 138413328768
- Sum of all divisors σ(n): 523119068640
- Sum of proper divisors (its aliquot sum) s(n): 384705739872
- 138413328768 is an abundant number, because the sum of its proper divisors (384705739872) is greater than itself. Its abundance is 246292411104
Bases of 138413328768
- Binary: 100000001110100001001111001001100000002
- Hexadecimal: 0x203A13C980
- Base-36: 1RL3Q000
Squares and roots of 138413328768
- 138413328768 squared (1384133287682) is 19158249580638456397824
- 138413328768 cubed (1384133287683) is 2651757097824308792736046311800832
-
The
square root of 138413328768 is 372039.4182986529 -
The
cube root of 138413328768 is 5172.8033807821
Scales and comparisons
How big is 138413328768?- 138,413,328,768 seconds is equal to 4,401 years, 6 weeks, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,413,328,768 would take you about eight thousand, eight hundred two 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 138413328768 cubic inches would be around 431.1 feet tall.
Recreational maths with 138413328768
- 138413328768 backwards is 867823314831
- 138413328768 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138413328768's digits is 54
- 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 138413328768 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 138413328768 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138413328768/
Chicago style:
Numbermatics. 2024. "Number 138413328768 - Facts about the integer". https://numbermatics.com/n/138413328768/
The information we have on file for 138413328768 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 138413328768, math, Factors of 138413328768, curriculum, school, college, exams, university, Prime factorization of 138413328768, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, four hundred thirteen million, three hundred twenty-eight thousand, seven hundred sixty-eight.