138448138752
138,448,138,752 is an even composite number composed of seven prime numbers multiplied together.
138448138752 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138448138752:
29 × 32 × 7 × 11 × 31 × 41 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 31 × 41 × 307)See below for interesting mathematical facts about the number 138448138752 from the Numbermatics database.
Names of 138448138752
- Cardinal: 138448138752 can be written as One hundred thirty-eight billion, four hundred forty-eight million, one hundred thirty-eight thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 1.38448138752 × 1011
Factors of 138448138752
Divisors of 138448138752
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 31 32 33 36 41 42 44 48 56 62 63 64 66 72 77 82 84 88 93 96 99 112 123 124 126 128 132 144 154 164 168 176 186 192 198 217 224 231 246 248 252 256 264 279 287 288 307 308 328 336 341 352 369 372 384 396 434 448 451 462 492 496 504 512 528 558 574 576 614 616 651 656 672 682 693 704 738 744 768 792 861 868 896 902 921 924 984 992 1008 1023 1056 1116 1148 1152 1228 1232 1271 1302 1312 1344 1353 1364 1386 1408 1476 1488 1536 1584 1722 1736 1792 1804 1842 1848 1953 1968 1984 2016 2046 2112 2149 2232 2296 2304 2387 2456 2464 2542 2583 2604 2624 2688 2706 2728 2763 2772 2816 2952 2976 3069 3157 3168 3377 3444 3472 3584 3608 3684 3696 3813 3906 3936 3968 4032 4059 4092 4224 4298 4464 4592 4608 4774 4912 4928 5084 5166 5208 5248 5376 5412 5456 5526 5544 5632 5904 5952 6138 6314 6336 6447 6754 6888 6944 7161 7216 7368 7392 7626 7812 7872 7936 8064 8118 8184 8448 8596 8897 8928 9184 9471 9517 9548 9824 9856 10131 10168 10332 10416 10496 10752 10824 10912 11052 11088 11439 11808 11904 12276 12587 12628 12672 12894 13508 13776 13888 13981 14322 14432 14736 14784 15252 15624 15744 15872 16128 16236 16368 16896 17192 17794 17856 18368 18942 19034 19096 19341 19648 19712 20262 20336 20664 20832 20992 21483 21648 21824 22104 22176 22878 23616 23639 23808 24552 25174 25256 25344 25788 26691 27016 27552 27776 27962 28413 28551 28644 28864 29472 29568 30393 30504 31248 31488 32256 32472 32736 34384 35588 35712 36736 37761 37884 38068 38192 38682 39296 39424 40524 40672 41328 41664 41943 42966 43296 43648 44208 44352 45756 47232 47278 47616 49104 50348 50512 50688 51576 53382 54032 55104 55552 55924 56826 57102 57288 57728 58944 59136 60786 61008 62496 62976 64944 65472 66619 68768 70917 71176 71424 73472 75522 75768 76136 76384 77364 78592 80073 81048 81344 82656 83328 83886 85653 85932 86592 87296 88109 88416 88704 91512 94464 94556 97867 98208 100696 101024 103152 104687 106764 108064 110208 111104 111848 113283 113652 114204 114576 115456 117888 118272 121572 122016 124992 125829 129888 130944 133238 137536 138457 141834 142352 142848 146944 151044 151536 152272 152768 154728 157184 160146 162096 162688 165312 166656 167772 171306 171864 173184 174592 176218 176832 177408 183024 188928 189112 195734 196416 199857 201392 202048 206304 209374 212751 213528 216128 220416 223696 226566 227304 228408 229152 230912 235776 243144 244032 249984 251658 259776 261888 264327 266476 275072 276914 283668 284704 293601 302088 303072 304544 305536 309456 314061 320292 324192 325376 330624 333312 335544 342612 343728 346368 352436 353664 354816 366048 378224 390197 391468 392832 399714 402784 404096 412608 415371 418748 425502 427056 432256 440832 447392 453132 454608 456816 458304 471552 486288 488064 499968 503316 519552 523776 528654 532952 550144 553828 567336 569408 587202 599571 604176 606144 609088 611072 618912 628122 640584 648384 650752 661248 671088 685224 687456 692736 704872 707328 732096 732809 756448 780394 782936 785664 792981 799428 805568 808192 825216 830742 837496 851004 854112 864512 880803 894784 906264 909216 913632 916608 942183 969199 972576 976128 999936 1006632 1039104 1057308 1065904 1100288 1107656 1134672 1138816 1170591 1174404 1199142 1208352 1212288 1218176 1222144 1237824 1246113 1256244 1281168 1296768 1322496 1342176 1370448 1374912 1409744 1414656 1464192 1465618 1512896 1560788 1565872 1571328 1585962 1598856 1611136 1616384 1650432 1661484 1674992 1702008 1708224 1729024 1761606 1789568 1812528 1818432 1827264 1833216 1884366 1938398 1945152 1952256 2013264 2078208 2114616 2131808 2198427 2215312 2269344 2277632 2341182 2348808 2398284 2416704 2424576 2436352 2475648 2492226 2512488 2562336 2593536 2684352 2731379 2740896 2749824 2819488 2907597 2928384 2931236 3025792 3121576 3131744 3171924 3197712 3222272 3300864 3322968 3349984 3404016 3416448 3511773 3523212 3579136 3625056 3636864 3654528 3666432 3768732 3876796 3890304 4026528 4229232 4263616 4292167 4396854 4430624 4538688 4555264 4682364 4697616 4796568 4833408 4849152 4872704 4951296 4984452 5024976 5124672 5187072 5368704 5462758 5481792 5499648 5638976 5815194 5856768 5862472 6051584 6243152 6263488 6343848 6395424 6444544 6595281 6645936 6699968 6808032 6832896 7023546 7046424 7158272 7250112 7273728 7309056 7537464 7753592 7780608 8053056 8194137 8458464 8527232 8584334 8722791 8793708 8861248 9077376 9364728 9395232 9593136 9666816 9902592 9968904 10049952 10249344 10737408 10925516 10963584 10999296 11277952 11630388 11724944 12103168 12486304 12526976 12687696 12790848 12876501 13190562 13291872 13399936 13616064 13665792 14047092 14092848 14500224 14547456 14618112 15074928 15507184 15561216 16106112 16388274 16916928 17054464 17168668 17445582 17587416 17722496 18154752 18729456 18790464 19186272 19333632 19937808 20099904 20498688 21474816 21851032 21927168 22555904 23260776 23449888 24582411 24972608 25053952 25375392 25581696 25753002 26381124 26583744 26799872 27232128 28094184 28185696 29000448 30045169 30149856 31014368 32212224 32776548 33833856 34108928 34337336 34891164 35174832 35444992 36309504 37458912 37580928 38372544 38629503 39875616 40199808 40997376 43702064 43854336 45111808 46521552 46899776 49164822 49945216 50107904 50750784 51163392 51506004 52762248 53167488 53599744 54464256 56188368 56371392 58000896 60090338 60299712 62028736 64424448 65553096 67667712 68674672 69782328 70349664 70889984 74917824 75161856 76745088 77259006 79751232 80399616 87404128 90135507 93043104 93799552 98329644 99890432 101501568 102326784 103012008 105524496 106334976 108928512 112376736 112742784 120180676 120599424 124057472 131106192 135335424 137349344 139564656 140699328 149835648 150323712 153490176 154518012 159502464 160799232 174808256 180271014 186086208 187599104 196659288 199780864 203003136 206024016 211048992 212669952 224753472 225485568 240361352 241198848 248114944 262212384 270406521 274698688 279129312 281398656 299671296 306980352 309036024 319004928 349616512 360542028 372172416 375198208 393318576 406006272 412048032 422097984 449506944 450971136 480722704 482397696 496229888 524424768 540813042 549397376 558258624 562797312 599342592 618072048 638009856 699233024 721084056 744344832 786637152 824096064 844195968 899013888 961445408 1048849536 1081626084 1098794752 1116517248 1125594624 1236144096 1398466048 1442168112 1488689664 1573274304 1648192128 1688391936 1798027776 1922890816 2097699072 2163252168 2197589504 2233034496 2472288192 2884336224 3146548608 3296384256 3376783872 3845781632 4195398144 4326504336 4466068992 4944576384 5768672448 6293097216 6592768512 7691563264 8653008672 9889152768 11537344896 12586194432 15383126528 17306017344 19778305536 23074689792 34612034688 46149379584 69224069376 138448138752
- Sum of all divisors σ(n): 528494174208
- Sum of proper divisors (its aliquot sum) s(n): 390046035456
- 138448138752 is an abundant number, because the sum of its proper divisors (390046035456) is greater than itself. Its abundance is 251597896704
Bases of 138448138752
- Binary: 100000001111000010011011110010000000002
- Hexadecimal: 0x203C26F200
- Base-36: 1RLOG3K0
Squares and roots of 138448138752
- 138448138752 squared (1384481387522) is 19167887123893044117504
- 138448138752 cubed (1384481387523) is 2653758296111418386387851183915008
-
The
square root of 138448138752 is 372086.1980133097 -
The
cube root of 138448138752 is 5173.2369857235
Scales and comparisons
How big is 138448138752?- 138,448,138,752 seconds is equal to 4,402 years, 11 weeks, 4 days, 19 minutes, 12 seconds.
-
To count from 1 to 138,448,138,752 would take you about eight thousand, eight hundred four 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 138448138752 cubic inches would be around 431.1 feet tall.
Recreational maths with 138448138752
- 138448138752 backwards is 257831844831
- The number of decimal digits it has is: 12
- The sum of 138448138752's digits is 54
- More coming soon!
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The information we have on file for 138448138752 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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