138144956544
138,144,956,544 is an even composite number composed of six prime numbers multiplied together.
138144956544 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138144956544:
27 × 33 × 7 × 412 × 43 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 41 × 41 × 43 × 79)See below for interesting mathematical facts about the number 138144956544 from the Numbermatics database.
Names of 138144956544
- Cardinal: 138144956544 can be written as One hundred thirty-eight billion, one hundred forty-four million, nine hundred fifty-six thousand, five hundred forty-four.
Scientific notation
- Scientific notation: 1.38144956544 × 1011
Factors of 138144956544
Divisors of 138144956544
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 41 42 43 48 54 56 63 64 72 79 82 84 86 96 108 112 123 126 128 129 144 158 164 168 172 189 192 216 224 237 246 252 258 287 288 301 316 328 336 344 369 378 384 387 432 448 474 492 504 516 553 574 576 602 632 656 672 688 711 738 756 774 861 864 896 903 948 984 1008 1032 1106 1107 1148 1152 1161 1204 1264 1312 1344 1376 1422 1476 1512 1548 1659 1681 1722 1728 1763 1806 1896 1968 2016 2064 2133 2212 2214 2296 2322 2408 2528 2583 2624 2688 2709 2752 2844 2952 3024 3096 3239 3318 3362 3397 3444 3456 3526 3612 3792 3936 4032 4128 4266 4424 4428 4592 4644 4816 4977 5043 5056 5166 5248 5289 5418 5504 5688 5904 6048 6192 6478 6636 6724 6794 6888 7052 7224 7584 7749 7872 8064 8127 8256 8532 8848 8856 9184 9288 9632 9717 9954 10086 10112 10191 10332 10578 10836 11376 11767 11808 12096 12341 12384 12956 13272 13448 13588 13776 14104 14448 14931 15129 15168 15498 15744 15867 16254 16512 17064 17696 17712 18368 18576 19264 19434 19908 20172 20382 20664 21156 21672 22673 22752 23534 23616 23779 24192 24682 24768 25912 26544 26896 27176 27552 28208 28896 29151 29862 30258 30336 30573 30996 31734 32508 34128 35301 35392 35424 36736 37023 37152 38528 38868 39816 40344 40764 41328 42312 43344 45346 45387 45504 47068 47232 47558 47601 49364 49536 51824 53088 53792 54352 55104 56416 57792 58302 59724 60516 61146 61992 63468 65016 68019 68256 70602 70784 70848 71337 72283 74046 74304 77736 79632 80688 81528 82656 84624 86688 87453 90692 90774 91008 91719 94136 95116 95202 98728 103648 105903 106176 107584 108704 110208 111069 112832 115584 116604 119448 121032 122292 123984 126936 130032 132799 136038 136512 139277 141204 141696 142674 144566 148092 148608 155472 159264 161376 163056 165312 169248 173376 174906 181384 181548 183438 188272 190232 190404 197456 204057 207296 211806 212352 214011 215168 216849 217408 222138 225664 233208 238896 242064 244584 247968 253872 260064 265598 272076 273024 278554 282408 285348 289132 296184 310944 317709 318528 322752 326112 330624 333207 338496 346752 349812 362768 363096 366876 376544 380464 380808 394912 398397 408114 414592 417831 423612 428022 433698 434816 444276 466416 477792 484128 489168 495936 505981 507744 520128 531196 544152 557108 564816 570696 578264 592368 612171 621888 635418 637056 642033 645504 650547 652224 666414 676992 699624 725536 726192 733752 753088 760928 761616 789824 796794 816228 835662 847224 856044 867396 888552 929593 932832 955584 968256 974939 978336 991872 1011962 1015488 1040256 1062392 1088304 1114216 1129632 1141392 1156528 1184736 1195191 1224342 1243776 1253493 1270836 1284066 1301094 1304448 1332828 1399248 1451072 1452384 1467504 1506176 1517943 1521856 1523232 1579648 1593588 1632456 1671324 1694448 1712088 1734792 1777104 1859186 1865664 1911168 1936512 1949878 1951641 1956672 2023924 2030976 2124784 2176608 2228432 2259264 2282784 2313056 2369472 2390382 2448684 2506986 2541672 2568132 2602188 2665656 2788779 2798496 2902144 2904768 2924817 2935008 3035886 3043712 3046464 3187176 3264912 3342648 3388896 3424176 3469584 3554208 3585573 3718372 3731328 3760479 3899756 3903282 3913344 4047848 4249568 4353216 4456864 4518528 4553829 4565568 4626112 4738944 4780764 4897368 5013972 5083344 5136264 5204376 5331312 5577558 5596992 5710357 5809536 5849634 5870016 6071772 6092928 6374352 6529824 6685296 6777792 6848352 6939168 7108416 7171146 7436744 7520958 7799512 7806564 8095696 8366337 8499136 8706432 8774451 8913728 9107658 9131136 9252224 9561528 9794736 10027944 10166688 10272528 10408752 10662624 11155116 11193984 11420714 11699268 11740032 12143544 12748704 13059648 13370592 13555584 13661487 13696704 13878336 14216832 14342292 14873488 15041916 15599024 15613128 16191392 16732674 16998272 17131071 17548902 17827456 18215316 19123056 19589472 20055888 20333376 20545056 20817504 21325248 22310232 22841428 23398536 24287088 25099011 25497408 26119296 26323353 26741184 27322974 27393408 27756672 28684584 29746976 30083832 31198048 31226256 32382784 33465348 34262142 35097804 36430632 38246112 39178944 39972499 40111776 40666752 41090112 41635008 42650496 44620464 45682856 46797072 48574176 50198022 50994816 51393213 52646706 53482368 54645948 57369168 59493952 60167664 62396096 62452512 64765568 66930696 68524284 70195608 72861264 76492224 78357888 79944998 80223552 82180224 83270016 89240928 91365712 93594144 97148352 100396044 102786426 105293412 109291896 114738336 118987904 119917497 120335328 124792192 124905024 133861392 137048568 140391216 145722528 152984448 154179639 159889996 160447104 178481856 182731424 187188288 194296704 200792088 205572852 210586824 218583792 229476672 239834994 240670656 249810048 267722784 274097136 280782432 291445056 308359278 319779992 356963712 359752491 365462848 374376576 401584176 411145704 421173648 437167584 458953344 479669988 481341312 535445568 548194272 561564864 582890112 616718556 639559984 719504982 730925696 803168352 822291408 842347296 874335168 959339976 1070891136 1079257473 1096388544 1123129728 1233437112 1279119968 1439009964 1606336704 1644582816 1684694592 1748670336 1918679952 2158514946 2192777088 2466874224 2558239936 2878019928 3212673408 3289165632 3369389184 3837359904 4317029892 4933748448 5116479872 5756039856 6578331264 7674719808 8634059784 9867496896 11512079712 15349439616 17268119568 19734993792 23024159424 34536239136 46048318848 69072478272 138144956544
- Sum of all divisors σ(n): 494900736000
- Sum of proper divisors (its aliquot sum) s(n): 356755779456
- 138144956544 is an abundant number, because the sum of its proper divisors (356755779456) is greater than itself. Its abundance is 218610822912
Bases of 138144956544
- Binary: 100000001010100001010011000000100000002
- Hexadecimal: 0x202A14C080
- Base-36: 1RGNXUO0
Squares and roots of 138144956544
- 138144956544 squared (1381449565442) is 19084029018543648423936
- 138144956544 cubed (1381449565443) is 2636362359451147281691852809437184
-
The
square root of 138144956544 is 371678.5661616769 -
The
cube root of 138144956544 is 5169.4580022363
Scales and comparisons
How big is 138144956544?- 138,144,956,544 seconds is equal to 4,392 years, 30 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,144,956,544 would take you about eight thousand, seven hundred eighty-five 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 138144956544 cubic inches would be around 430.8 feet tall.
Recreational maths with 138144956544
- 138144956544 backwards is 445659441831
- 138144956544 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138144956544's digits is 54
- More coming soon!
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The information we have on file for 138144956544 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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