138516701853816
138,516,701,853,816 is an even composite number composed of six prime numbers multiplied together.
138516701853816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138516701853816:
23 × 34 × 11 × 13 × 232 × 414
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 13 × 23 × 23 × 41 × 41 × 41 × 41)See below for interesting mathematical facts about the number 138516701853816 from the Numbermatics database.
Names of 138516701853816
- Cardinal: 138516701853816 can be written as One hundred thirty-eight trillion, five hundred sixteen billion, seven hundred one million, eight hundred fifty-three thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38516701853816 × 1014
Factors of 138516701853816
Divisors of 138516701853816
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 18 22 23 24 26 27 33 36 39 41 44 46 52 54 66 69 72 78 81 82 88 92 99 104 108 117 123 132 138 143 156 162 164 184 198 207 216 234 246 253 264 276 286 297 299 312 324 328 351 369 396 414 429 451 468 492 506 529 533 552 572 594 598 621 648 702 738 759 792 828 858 891 897 902 936 943 984 1012 1053 1058 1066 1107 1144 1188 1196 1242 1287 1353 1404 1476 1518 1587 1599 1656 1681 1716 1782 1794 1804 1863 1886 2024 2106 2116 2132 2214 2277 2376 2392 2484 2574 2691 2706 2808 2829 2952 3036 3174 3198 3289 3321 3362 3432 3564 3588 3608 3726 3772 3861 4059 4212 4232 4264 4428 4554 4761 4797 4968 5043 5148 5382 5412 5658 5819 5863 6072 6348 6396 6578 6642 6724 6831 6877 7128 7176 7452 7544 7722 8073 8118 8424 8487 8856 9108 9522 9594 9867 10086 10296 10373 10764 10824 11316 11583 11638 11726 12177 12259 12696 12792 13156 13284 13448 13662 13754 14283 14391 14904 15129 15444 16146 16236 16974 17457 17589 18216 18491 19044 19188 19734 20172 20493 20631 20746 21528 21689 21853 22632 23166 23276 23452 24219 24354 24518 25461 26312 26568 27324 27508 28566 28782 29601 30258 30888 31119 32292 32472 33948 34914 35178 36531 36777 36982 38088 38376 38663 39468 40344 40986 41262 41492 42849 43173 43378 43706 45387 46332 46552 46904 48438 48708 49036 50922 52371 52767 54648 55016 55473 57132 57564 59202 60516 61893 62238 64584 65067 65559 67896 68921 69828 70356 73062 73554 73964 75647 76383 77326 78936 81972 82524 82984 85698 86346 86756 87412 88803 90774 92664 93357 96876 97416 98072 101844 104742 105534 110331 110946 114264 115128 115989 118404 121032 123786 124476 130134 131118 134849 136161 137842 139656 140712 146124 147108 147928 151294 152766 154652 157113 158301 163944 165048 166419 171396 172692 173512 174824 177606 181548 185679 186714 193752 195201 196677 203688 206763 209484 211068 220662 221892 226941 231978 236808 238579 240383 247572 248952 260268 262236 266409 269698 272322 275684 280071 281957 292248 294216 302588 305532 309304 314226 316602 330993 332838 342792 345384 347967 355212 363096 371358 373428 390402 393354 404547 413526 418968 422136 425293 441324 443784 453882 463956 471339 474903 477158 480766 495144 499257 502619 520536 524472 532818 539396 544644 551368 557037 560142 563914 585603 590031 605176 611064 620289 628452 633204 661986 665676 680823 695934 710424 715737 721149 742716 746856 758131 780804 786708 809094 827052 840213 845871 850586 882648 889249 895973 907764 927912 942678 949806 954316 961532 992979 998514 1005238 1043901 1065636 1078792 1089288 1114074 1120284 1127828 1171206 1180062 1213641 1240578 1256904 1266408 1275879 1323972 1331352 1361646 1391868 1431474 1442298 1485432 1497771 1507857 1516262 1561608 1573416 1585183 1618188 1654104 1680426 1691742 1701172 1756809 1770093 1778498 1791946 1815528 1860867 1885356 1899612 1908632 1923064 1985958 1997028 2010476 2042469 2087802 2131272 2147211 2163447 2228148 2240568 2255656 2274393 2342412 2360124 2427282 2481156 2537613 2551758 2647944 2667747 2687919 2723292 2783736 2825761 2862948 2884596 2995542 3015714 3032524 3101527 3131703 3170366 3236376 3360852 3383484 3402344 3513618 3540186 3556996 3583892 3640923 3721734 3770712 3799224 3827637 3971916 3994056 4020952 4084938 4175604 4294422 4326894 4456296 4523571 4548786 4684824 4720248 4755549 4854564 4962312 5075226 5103516 5335494 5375838 5446584 5528809 5582601 5651522 5725896 5769192 5991084 6031428 6065048 6127407 6203054 6263406 6340732 6441633 6490341 6721704 6766968 6823179 7027236 7080372 7113992 7167784 7281846 7443468 7612839 7655274 7943832 8003241 8063757 8169876 8351208 8477283 8588844 8653788 9047142 9097572 9304581 9511098 9709128 9781739 9855703 10150452 10207032 10670988 10751676 10922769 11057618 11165202 11303044 11482911 11560237 11982168 12062856 12254814 12406108 12526812 12681464 12883266 12980682 13570713 13646358 14054472 14160744 14266647 14563692 14886936 15225678 15310548 16006482 16127514 16339752 16586427 16954566 17177688 17307576 17437013 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13353581592 13453448121 13733561556 14038380648 14437846764 14547017628 15208245702 15641000661 16321044168 16443103259 17062909812 17158020792 17937930828 18361174689 18587855858 19302773391 19432758397 20142024408 20277660936 20600342334 20854667548 21057570972 21656770146 21820526442 22812368553 23625567432 23804210664 24481566252 25594364718 25737031188 26906896242 27467123112 27881783787 28875693528 29094035256 30416491404 31282001322 32485155219 32730789663 32886206518 34125819624 35875861656 36722349378 37175711716 38391547077 38605546782 38865516794 40360344363 41200684668 41709335096 42115141944 43313540292 43641052884 45624737106 46923001983 48963132504 49329309777 51188729436 51474062376 53813792484 55763567574 57908320173 58298275191 60832982808 62564002644 64970310438 65461579326 65772413036 68437105659 73444698756 74351423432 76783094154 77211093564 77731033588 80720688726 82401369336 83645351361 86627080584 87282105768 91249474212 93846003966 98658619554 102377458872 107627584968 111527135148 115816640346 116596550382 121081033089 125128005288 129940620876 130923158652 131544826072 136874211318 140769005949 146889397512 147987929331 153566188308 154422187128 155462067176 161441377452 167290702722 174894825573 182498948424 187692007932 197317239108 213760342367 223054270296 231633280692 233193100764 242162066178 250936054083 259881241752 261846317304 273748422636 281538011898 295975858662 307132376616 322882754904 334581405444 349789651146 375384015864 394634478216 422307017847 427520684734 443963787993 463266561384 466386201528 484324132356 501872108166 524684476719 547496845272 563076023796 591951717324 641281027101 669162810888 699579302292 752808162249 844614035694 855041369468 887927575986 968648264712 1003744216332 1049368953438 1126152047592 1183903434648 1282562054202 1331891363979 1399158604584 1505616324498 1574053430157 1689228071388 1710082738936 1775855151972 1923843081303 2007488432664 2098737906876 2565124108404 2663782727958 3011232648996 3148106860314 3378456142776 3551710303944 3847686162606 4197475813752 5130248216808 5327565455916 5771529243909 6022465297992 6296213720628 7695372325212 10655130911832 11543058487818 12592427441256 15390744650424 17314587731727 23086116975636 34629175463454 46172233951272 69258350926908 138516701853816
- Sum of all divisors σ(n): 488394012367800
- Sum of proper divisors (its aliquot sum) s(n): 349877310513984
- 138516701853816 is an abundant number, because the sum of its proper divisors (349877310513984) is greater than itself. Its abundance is 211360608660168
Bases of 138516701853816
- Binary: 111110111111010111011101100111100111000011110002
- Hexadecimal: 0x7DFAEECF3878
- Base-36: 1D3LOZVZI0
Squares and roots of 138516701853816
- 138516701853816 squared (1385167018538162) is 19186876692458952891033761856
- 138516701853816 cubed (1385167018538163) is 2657702878315268042428942493523639468842496
-
The
square root of 138516701853816 is 11769311.8683216139 -
The
cube root of 138516701853816 is 51740.9081841105
Scales and comparisons
How big is 138516701853816?- 138,516,701,853,816 seconds is equal to 4,404,402 years, 34 weeks, 1 day, 18 hours, 3 minutes, 36 seconds.
-
To count from 1 to 138,516,701,853,816 would take you about eleven million, eleven thousand and six 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 138516701853816 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138516701853816
- 138516701853816 backwards is 618358107615831
- The number of decimal digits it has is: 15
- The sum of 138516701853816's digits is 63
- More coming soon!
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The information we have on file for 138516701853816 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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