138970042848
138,970,042,848 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138970042848 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1536 divisors.
138970042848 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138970042848:
25 × 33 × 7 × 13 × 23 × 31 × 37 × 67
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 23 × 31 × 37 × 67)See below for interesting mathematical facts about the number 138970042848 from the Numbermatics database.
Names of 138970042848
- Cardinal: 138970042848 can be written as One hundred thirty-eight billion, nine hundred seventy million, forty-two thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 1.38970042848 × 1011
Factors of 138970042848
Divisors of 138970042848
- Number of divisors d(n): 1536
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 27 28 31 32 36 37 39 42 46 48 52 54 56 62 63 67 69 72 74 78 84 91 92 93 96 104 108 111 112 117 124 126 134 138 144 148 156 161 168 182 184 186 189 201 207 208 216 217 222 224 234 248 252 259 268 273 276 279 288 296 299 312 322 333 336 351 364 368 372 378 402 403 414 416 432 434 444 468 469 481 483 496 504 518 536 546 552 558 592 598 603 621 624 644 651 666 672 702 713 728 736 744 756 777 804 806 819 828 837 851 864 868 871 888 897 936 938 962 966 992 999 1008 1036 1072 1092 1104 1116 1147 1184 1196 1206 1209 1242 1248 1288 1302 1332 1404 1407 1426 1443 1449 1456 1488 1512 1541 1554 1608 1612 1638 1656 1674 1702 1736 1742 1776 1794 1809 1872 1876 1924 1932 1953 1998 2016 2072 2077 2093 2139 2144 2184 2208 2232 2294 2331 2392 2412 2418 2457 2479 2484 2553 2576 2604 2613 2664 2691 2808 2814 2821 2852 2886 2898 2912 2976 3024 3082 3108 3216 3224 3276 3312 3348 3367 3404 3441 3472 3484 3552 3588 3618 3627 3744 3752 3848 3864 3906 3996 4144 4154 4186 4221 4278 4329 4347 4368 4464 4588 4623 4662 4784 4824 4836 4914 4958 4968 4991 5106 5152 5208 5226 5328 5382 5616 5628 5642 5704 5772 5796 5859 5957 6048 6097 6164 6216 6231 6279 6417 6432 6448 6552 6624 6696 6734 6808 6882 6944 6968 6993 7176 7236 7254 7437 7504 7659 7696 7728 7812 7839 7992 8029 8073 8288 8308 8372 8442 8463 8556 8658 8694 8736 8928 9176 9246 9269 9324 9568 9648 9672 9828 9916 9936 9982 10101 10212 10323 10416 10452 10656 10764 10787 10881 11063 11232 11256 11284 11408 11544 11592 11718 11914 12194 12328 12432 12462 12558 12663 12834 12896 12987 13104 13392 13468 13616 13764 13869 13936 13986 14352 14472 14508 14539 14874 14911 14973 15008 15318 15392 15456 15624 15678 15984 16058 16146 16616 16744 16884 16926 17112 17316 17353 17388 17871 18291 18352 18492 18538 18648 18693 18837 19251 19296 19344 19656 19832 19872 19964 20033 20202 20424 20646 20832 20904 21528 21574 21762 22126 22311 22512 22568 22816 22977 23088 23184 23436 23517 23828 24087 24388 24656 24864 24924 25116 25326 25389 25668 25974 26208 26381 26784 26936 27001 27232 27528 27738 27807 27872 27972 28704 28944 29016 29078 29748 29822 29946 30303 30636 30969 31248 31356 31968 32116 32227 32292 32361 33189 33232 33488 33768 33852 34224 34632 34706 34776 35742 36582 36704 36984 37076 37296 37386 37674 38502 38688 39312 39664 39928 40066 40404 40848 41292 41607 41808 43056 43148 43524 43617 44252 44622 44733 44919 45024 45136 45954 46176 46368 46872 47034 47656 47771 48174 48776 49312 49848 50232 50652 50778 51336 51948 52059 52762 53613 53872 54002 54873 55056 55476 55614 55944 56079 56511 57017 57888 58032 58156 59496 59644 59892 60099 60606 61272 61938 62496 62712 64232 64454 64584 64722 64883 66378 66464 66933 66976 67536 67704 68448 69264 69412 69552 71484 72261 73164 73968 74152 74592 74772 75348 76167 76849 77004 77441 78624 79143 79328 79856 80132 80808 81003 81696 82584 83214 83421 83616 86112 86296 87048 87234 88504 89244 89466 89838 90272 90909 91908 93744 94068 95312 95542 96348 96681 97083 97552 99567 99696 100464 101304 101556 102672 103896 104118 104377 105524 107226 107744 108004 109746 110112 110952 111228 111888 112158 113022 114034 116064 116312 118992 119288 119784 120198 121212 122544 123876 125424 128464 128908 129168 129444 129766 130851 132756 133866 134199 134757 135072 135408 138528 138824 139104 140231 142968 143313 144522 146328 147936 148304 149544 150696 152334 153698 154008 154882 156177 158286 159712 160264 160839 161616 162006 164619 165168 166428 166842 171051 172592 174096 174468 177008 178488 178932 179676 180297 181818 183816 184667 187488 188136 189007 190624 191084 192696 193362 194166 194649 195104 199134 199392 200928 202608 203112 205344 207792 208236 208754 211048 214452 216008 216783 219492 221904 222456 223776 224316 225589 226044 228068 230547 232323 232624 237429 237984 238576 239568 240396 242424 243009 245088 247752 250263 250848 256928 257816 258336 258888 259532 261702 265512 267732 268398 269514 270816 277648 280462 285936 286626 289044 290043 291249 292656 296608 298701 299088 301392 304668 307396 308016 309764 312354 313131 316572 320528 321678 323232 324012 329238 330336 332856 333684 334397 342102 342953 345184 348192 348936 354016 356976 357864 359352 360594 363636 367632 369334 376272 378014 382168 385392 386724 388332 389298 392553 398268 399119 402597 405216 406224 415584 416472 417508 420693 422096 428904 429939 432016 433566 438984 443808 444912 448632 451178 452088 456136 461094 464646 465248 468531 474858 477152 479136 480792 484848 486018 495504 500526 513153 515632 517776 519064 523404 531024 535464 536796 537943 539028 540891 554001 555296 560924 567021 571872 573252 578088 580086 582498 583947 585312 597402 598176 602784 609336 614792 616032 619528 621023 624708 626262 633144 641056 643356 648024 658476 665712 667368 668794 676767 684204 685906 691641 696969 697872 712287 713952 715728 718704 721188 727272 729027 735264 738668 741221 752544 756028 764336 770784 773448 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66909024 67070484 68933553 69554576 71157216 71930664 72229752 74077848 74236134 76821472 77463792 78248898 79776144 80051868 81651024 83016752 83919108 84841296 86209704 86424156 89427312 90181728 91911404 93393846 95446458 95907552 96306336 97454448 98770464 98981512 104331864 106735824 107895996 111354201 111892144 114946272 115232208 116195688 117373347 121159584 124525128 125878662 127261944 129636234 134140968 137867106 139109152 140090769 143861328 144459504 148155696 148472268 154927584 156497796 159552288 160103736 160844957 163302048 166033504 167838216 169682592 172419408 172848312 178854624 183822808 186787692 188817993 190892916 194908896 197963024 206800659 208663728 213471648 215791992 222708402 223784288 230464416 232391376 234746694 249050256 251757324 254523888 259272468 268281936 275734212 280181538 287722656 288919008 296311392 296944536 312995592 320207472 321689914 334062603 335676432 344838816 345696624 367645616 373575384 377635986 381785832 395926048 413601318 417327456 431583984 445416804 464782752 469493388 482534871 498100512 503514648 509047776 518544936 536563872 551468424 560363076 593889072 620401977 625991184 640414944 643379828 668125206 671352864 691393248 735291232 747150768 755271972 763571664 827202636 863167968 890833608 938986776 965069742 1007029296 1037089872 1102936848 1120726152 1187778144 1240803954 1251982368 1286759656 1336250412 1447604613 1494301536 1510543944 1527143328 1654405272 1781667216 1877973552 1930139484 2014058592 2074179744 2205873696 2241452304 2481607908 2573519312 2672500824 2895209226 3021087888 3308810544 3563334432 3755947104 3860278968 4342813839 4482904608 4963215816 5147038624 5345001648 5790418452 6042175776 6617621088 7720557936 8685627678 9926431632 10690003296 11580836904 15441115872 17371255356 19852863264 23161673808 34742510712 46323347616 69485021424 138970042848
- Sum of all divisors σ(n): 560108666880
- Sum of proper divisors (its aliquot sum) s(n): 421138624032
- 138970042848 is an abundant number, because the sum of its proper divisors (421138624032) is greater than itself. Its abundance is 282168581184
Bases of 138970042848
- Binary: 100000010110110100001010010001111000002
- Hexadecimal: 0x205B4291E0
- Base-36: 1RUB6BC0
Squares and roots of 138970042848
- 138970042848 squared (1389700428482) is 19312672809174955951104
- 138970042848 cubed (1389700428483) is 2683882967800448156053435472904192
-
The
square root of 138970042848 is 372786.8598113405 -
The
cube root of 138970042848 is 5179.7293037437
Scales and comparisons
How big is 138970042848?- 138,970,042,848 seconds is equal to 4,418 years, 42 weeks, 3 days, 13 hours, 40 minutes, 48 seconds.
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To count from 1 to 138,970,042,848 would take you about eight thousand, eight hundred thirty-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 138970042848 cubic inches would be around 431.6 feet tall.
Recreational maths with 138970042848
- 138970042848 backwards is 848240079831
- 138970042848 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138970042848's digits is 54
- More coming soon!
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The information we have on file for 138970042848 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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