138713607648
138,713,607,648 is an even composite number composed of seven prime numbers multiplied together.
138713607648 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138713607648:
25 × 33 × 72 × 11 × 19 × 61 × 257
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 19 × 61 × 257)See below for interesting mathematical facts about the number 138713607648 from the Numbermatics database.
Names of 138713607648
- Cardinal: 138713607648 can be written as One hundred thirty-eight billion, seven hundred thirteen million, six hundred seven thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.38713607648 × 1011
Factors of 138713607648
Divisors of 138713607648
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 27 28 32 33 36 38 42 44 48 49 54 56 57 61 63 66 72 76 77 84 88 96 98 99 108 112 114 122 126 132 133 144 147 152 154 168 171 176 183 189 196 198 209 216 224 228 231 244 252 257 264 266 288 294 297 304 308 336 342 352 366 378 392 396 399 418 427 432 441 456 462 488 504 513 514 528 532 539 549 588 594 608 616 627 671 672 684 693 732 756 771 784 792 798 836 854 864 882 912 924 931 976 1008 1026 1028 1056 1064 1078 1098 1159 1176 1188 1197 1232 1254 1281 1323 1342 1368 1386 1463 1464 1512 1542 1568 1584 1596 1617 1647 1672 1708 1764 1799 1824 1848 1862 1881 1952 2013 2016 2052 2056 2079 2128 2156 2196 2313 2318 2352 2376 2394 2464 2508 2562 2646 2684 2736 2772 2793 2827 2926 2928 2989 3024 3084 3168 3192 3234 3294 3344 3416 3477 3528 3591 3598 3696 3724 3762 3843 4026 4104 4112 4158 4256 4312 4389 4392 4626 4636 4697 4704 4752 4788 4851 4883 5016 5124 5292 5368 5397 5472 5544 5586 5643 5654 5852 5856 5978 6039 6048 6168 6384 6468 6588 6688 6832 6939 6954 7056 7182 7196 7392 7448 7524 7686 8052 8113 8208 8224 8316 8379 8481 8624 8778 8784 8967 9252 9272 9394 9504 9576 9702 9766 10032 10241 10248 10431 10584 10736 10794 11088 11172 11286 11308 11529 11704 11956 12078 12336 12593 12749 12768 12936 13167 13176 13664 13878 13908 14091 14112 14364 14392 14553 14649 14896 15048 15372 15677 16104 16191 16226 16416 16632 16758 16962 17248 17556 17568 17934 18117 18504 18544 18788 19152 19404 19532 19789 20064 20482 20496 20862 21168 21472 21588 22176 22344 22572 22616 23058 23408 23912 24156 24339 24672 25137 25186 25443 25498 25872 26334 26352 26901 27756 27816 28182 28728 28784 29106 29298 29792 30096 30723 30744 31293 31354 32208 32382 32452 32879 33264 33516 33924 34181 35112 35868 36234 37008 37088 37576 37779 38247 38304 38808 39064 39501 39578 40964 40992 41724 42273 42336 43176 43947 44688 45144 45232 46116 46816 47031 47824 48312 48573 48678 50274 50372 50886 50996 51744 52668 52704 53713 53802 55512 55632 56364 56791 57456 57568 58212 58596 59367 60192 61446 61488 62586 62708 64416 64764 64904 65758 66528 67032 67848 68362 70224 71736 72468 73017 74016 75152 75558 76329 76494 77616 78128 79002 79156 80703 81928 83448 84546 86352 87894 89243 89376 90288 90464 92169 92232 94062 95648 96624 97146 97356 98637 100548 100744 101772 101992 102543 105336 107426 107604 109739 111024 111264 112728 113337 113582 114741 114912 116424 117192 118734 122892 122976 125172 125416 126819 129528 129808 131516 131841 134064 135696 136724 138523 140448 141093 143472 144936 146034 150304 151116 152658 152988 155232 156256 158004 158312 161139 161406 163856 166896 169092 170373 172447 172704 175788 178101 178486 180576 184338 184464 188124 193248 194292 194712 197274 201096 201488 203544 203984 205086 210672 214852 215208 219051 219478 222048 225456 226674 227164 229482 232848 234384 237468 239267 245784 250344 250832 253638 259056 259616 263032 263682 267729 268128 271392 273448 276507 277046 282186 286944 289872 292068 295911 297863 302232 305316 305976 307629 316008 316624 322278 322812 327712 329217 333792 338184 340011 340746 344223 344894 351576 356202 356972 368676 368928 375991 376248 388584 389424 394548 402192 402976 407088 407968 410172 415569 421344 423279 429704 430416 438102 438956 450912 453348 454328 458964 465696 468768 474936 478534 483417 491568 500688 501664 507276 511119 517341 518112 526064 527364 534303 535458 546896 553014 554092 564372 579744 584136 591822 595726 604464 610632 611952 615258 624701 632016 633248 644556 645624 658434 676368 680022 681492 688446 689788 703152 712404 713944 717801 737352 751982 752496 768173 777168 778848 789096 803187 804384 814176 820344 831138 846558 859408 860832 876204 877912 887733 893589 906696 908656 917928 922887 949872 957068 966834 983136 987651 1001376 1014552 1022238 1034682 1052128 1054728 1068606 1070916 1093792 1106028 1108184 1127973 1128744 1168272 1183644 1191452 1207129 1208928 1221264 1223904 1230516 1246707 1249402 1264032 1289112 1291248 1316868 1352736 1360044 1362984 1376892 1379576 1406304 1424808 1427888 1435602 1450251 1474704 1503964 1504992 1533357 1536346 1552023 1554336 1578192 1606374 1640688 1662276 1693116 1718816 1752408 1755824 1775466 1787178 1813392 1817312 1835856 1845774 1874103 1899744 1914136 1933668 1975302 2029104 2044476 2069364 2085041 2109456 2137212 2141832 2153403 2212056 2216368 2255946 2257488 2304519 2336544 2367288 2382904 2409561 2414258 2442528 2461032 2493414 2498804 2578224 2582496 2631937 2633736 2680767 2720088 2725968 2753784 2759152 2849616 2855776 2871204 2900502 2949408 2962953 3007928 3066714 3072692 3104046 3156384 3212748 3276493 3281376 3324552 3383919 3386232 3504816 3511648 3550932 3574356 3621387 3626784 3671712 3691548 3740121 3748206 3828272 3867336 3950604 4058208 4088952 4138728 4170082 4218912 4274424 4283664 4306806 4424112 4432736 4511892 4514976 4609038 4656069 4734576 4765808 4819122 4828516 4922064 4986828 4997608 5156448 5263874 5267472 5361534 5440176 5451936 5507568 5518304 5622309 5699232 5742408 5801004 5925906 6015856 6133428 6145384 6208092 6255123 6425496 6460209 6552986 6649104 6767838 6772464 6913557 7009632 7101864 7148712 7242774 7383096 7480242 7496412 7656544 7734672 7895811 7901208 8042301 8177904 8277456 8340164 8449903 8548848 8567328 8613612 8848224 9023784 9218076 9312138 9469152 9531616 9638244 9657032 9829479 9844128 9973656 9995216 10151757 10527748 10534944 10723068 10864161 10880352 11015136 11244618 11484816 11602008 11851812 12031712 12266856 12290768 12416184 12510246 12850992 12920418 13105972 13298208 13535676 13544928 13827114 14203728 14297424 14485548 14595287 14766192 14960484 14992824 15469344 15791622 15802416 16084602 16355808 16554912 16680328 16866927 16899806 17097696 17227224 18047568 18436152 18624276 18765369 19276488 19314064 19658958 19947312 19990432 20303514 20740671 21055496 21446136 21728322 22489236 22935451 22969632 23204016 23687433 23703624 24533712 24581536 24832368 25020492 25349709 25701984 25840836 26211944 27071352 27654228 28407456 28594848 28971096 29190574 29488437 29532384 29920968 29985648 31583244 31604832 32169204 32592483 33360656 33733854 33799612 34454448 36095136 36872304 37248552 37530738 38552976 38628128 39317916 39894624 40607028 41481342 42110992 42892272 43456644 43785861 44978472 45870902 46408032 47374866 47407248 49067424 49664736 50040984 50699418 51681672 52423888 54142704 55308456 56296107 57942192 58381148 58976874 59841936 59971296 63166488 64338408 65184966 66721312 67467708 67599224 68806353 68908896 71062299 73744608 74497104 75061476 76049127 77105952 78635832 81214056 82962684 84221984 85784544 86913288 87571722 88465311 89956944 91741804 94749732 94814496 100081968 101398836 103363344 104847776 108285408 110616912 112592214 115884384 116762296 117953748 119683872 126332976 128676816 130369932 131357583 134935416 135198448 137612706 142124598 148994208 150122952 152098254 157271664 160548157 162428112 165925368 173826576 175143444 176930622 179913888 183483608 189499464 200163936 202797672 206419059 206726688 221233824 225184428 228147381 233524592 235907496 252665952 257353632 260739864 262715166 269870832 270396896 275225412 284249196 300245904 304196508 314543328 321096314 324856224 331850736 347653152 350286888 353861244 366967216 378998928 394072749 405595344 412838118 450368856 456294762 467049184 471814992 481644471 521479728 525430332 539741664 550450824 568498392 600491808 608393016 619257177 642192628 663701472 700573776 707722488 733934432 757997856 788145498 811190688 825676236 900737712 912589524 943629984 963288942 1042959456 1050860664 1100901648 1136996784 1216786032 1238514354 1284385256 1401147552 1415444976 1444933413 1576290996 1651352472 1801475424 1825179048 1926577884 2101721328 2201803296 2273993568 2433572064 2477028708 2568770512 2830889952 2889866826 3152581992 3302704944 3650358096 3853155768 4203442656 4334800239 4954057416 5137541024 5779733652 6305163984 6605409888 7300716192 7706311536 8669600478 9908114832 11559467304 12610327968 15412623072 17339200956 19816229664 23118934608 34678401912 46237869216 69356803824 138713607648
- Sum of all divisors σ(n): 551439705600
- Sum of proper divisors (its aliquot sum) s(n): 412726097952
- 138713607648 is an abundant number, because the sum of its proper divisors (412726097952) is greater than itself. Its abundance is 274012490304
Bases of 138713607648
- Binary: 100000010010111111100110101101111000002
- Hexadecimal: 0x204BF9ADE0
- Base-36: 1RQ2I0O0
Squares and roots of 138713607648
- 138713607648 squared (1387136076482) is 19241464946723284091904
- 138713607648 cubed (1387136076483) is 2669053019192518852750411429281792
-
The
square root of 138713607648 is 372442.7575453709 -
The
cube root of 138713607648 is 5176.5413678709
Scales and comparisons
How big is 138713607648?- 138,713,607,648 seconds is equal to 4,410 years, 34 weeks, 3 days, 13 hours, 40 minutes, 48 seconds.
-
To count from 1 to 138,713,607,648 would take you about eight thousand, eight hundred twenty-one 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 138713607648 cubic inches would be around 431.4 feet tall.
Recreational maths with 138713607648
- 138713607648 backwards is 846706317831
- 138713607648 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138713607648's digits is 54
- More coming soon!
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The information we have on file for 138713607648 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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