138128901017976
138,128,901,017,976 is an even composite number composed of six prime numbers multiplied together.
What does the number 138128901017976 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138128901017976 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138128901017976:
23 × 35 × 11 × 293 × 59 × 672
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 29 × 29 × 29 × 59 × 67 × 67)See below for interesting mathematical facts about the number 138128901017976 from the Numbermatics database.
Names of 138128901017976
- Cardinal: 138128901017976 can be written as One hundred thirty-eight trillion, one hundred twenty-eight billion, nine hundred one million, seventeen thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 1.38128901017976 × 1014
Factors of 138128901017976
Divisors of 138128901017976
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 59 66 67 72 81 87 88 99 108 116 118 132 134 162 174 177 198 201 216 232 236 243 261 264 268 297 319 324 348 354 396 402 472 486 522 531 536 594 603 638 648 649 696 708 737 783 792 804 841 891 957 972 1044 1062 1188 1206 1276 1298 1416 1474 1566 1593 1608 1682 1711 1782 1809 1914 1943 1944 1947 2088 2124 2211 2349 2376 2412 2523 2552 2596 2673 2871 2948 3132 3186 3364 3422 3564 3618 3828 3886 3894 3953 4248 4422 4489 4698 4779 4824 5046 5133 5192 5346 5427 5742 5829 5841 5896 6264 6372 6633 6728 6844 7047 7128 7236 7569 7656 7772 7788 7906 8613 8844 8978 9251 9396 9558 10092 10266 10692 10854 11484 11658 11682 11859 12744 13266 13467 13688 14094 14337 14472 15138 15399 15544 15576 15812 16281 17226 17487 17523 17688 17956 18502 18792 18821 19116 19899 20184 20532 21373 21384 21708 22707 22968 23316 23364 23718 24389 25839 26532 26934 27753 28188 28674 30276 30798 31624 32562 34452 34974 35046 35577 35912 37004 37642 38232 39798 40401 41064 42746 43416 43483 45414 46197 46632 46728 47436 48778 49379 49619 51678 52461 52569 53064 53868 55506 56347 56376 56463 57348 59697 60552 61596 64119 65124 68121 68904 69948 70092 71154 73167 74008 75284 77517 79596 80802 83259 85492 86966 90828 92394 94872 97556 98758 99238 103356 104922 105138 106731 107736 111012 112694 112926 114637 114696 119394 121203 123192 128238 130181 130248 130449 136242 138591 139896 140184 142308 146334 148137 148857 150568 155034 157383 157707 159192 161604 166518 169041 169389 170984 173932 179091 181656 184788 192357 195112 197516 198476 204363 206712 209844 210276 213462 219501 222024 225388 225852 229274 238788 242406 249777 256476 260362 260898 264851 268279 272484 277182 284616 292668 296274 297714 310068 314766 315414 320193 323208 333036 338082 338778 343911 347864 358182 363609 369576 384714 390543 391347 395032 396952 408726 415773 419688 420552 426924 439002 444411 446571 450776 451704 458548 472149 477576 484812 499554 507123 508167 512952 520724 521796 529702 536558 544968 545809 554364 577071 585336 592548 595428 619817 620136 629532 630828 640386 658503 666072 676164 677556 687822 716364 727218 749331 769428 781086 782694 794553 804837 817452 831546 853848 878004 888822 893142 917096 944298 960579 969624 999108 1014246 1016334 1031733 1041448 1043592 1059404 1073116 1090827 1091618 1108728 1154142 1171629 1174041 1185096 1190856 1239634 1259064 1261007 1261656 1280772 1317006 1333233 1339713 1352328 1355112 1375644 1431991 1432728 1438951 1454436 1498662 1521369 1524501 1538856 1562172 1565388 1589106 1609674 1634063 1634904 1637427 1663092 1731213 1756008 1777644 1786284 1859451 1888596 1921158 1975509 1998216 2028492 2032668 2063466 2118808 2146232 2181654 2183236 2247993 2308284 2343258 2348082 2383659 2414511 2479268 2522014 2561544 2634012 2666466 2679426 2751288 2863982 2877902 2908872 2913361 2997324 3042738 3049002 3095199 3124344 3130776 3178212 3219348 3268126 3274854 3324473 3326184 3462426 3514887 3522123 3555288 3572568 3718902 3775249 3777192 3783021 3842316 3951018 3999699 4019139 4056984 4065336 4126932 4295973 4316853 4363308 4366472 4495986 4564107 4573503 4616568 4686516 4696164 4767318 4829022 4902189 4912281 4958536 5044028 5193639 5268024 5332932 5358852 5578353 5727964 5755804 5826722 5926527 5994648 6085476 6098004 6190398 6356424 6438696 6536252 6549708 6648946 6924852 7029774 7044246 7150977 7243533 7437804 7550498 7566042 7680679 7684632 7902036 7999398 8038278 8253864 8591946 8633706 8726616 8740083 8991972 9128214 9147006 9285597 9373032 9392328 9534636 9658044 9804378 9824562 9973419 10088056 10387278 10544661 10566369 10665864 10717704 11156706 11325747 11349063 11455928 11511608 11653444 11853054 11999097 12057417 12170952 12196008 12380796 12887919 12950559 13072504 13099416 13297892 13692321 13849704 14059548 14088492 14301954 14487066 14706567 14736843 14875608 15100996 15132084 15361358 15804072 15828461 15998796 16076556 16735059 17183892 17267412 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13454987436 13686969978 14451653172 14700819606 14931239976 15385264092 15618374154 16037257752 17471401596 17736119802 17772632658 18041914971 18249293304 19089123966 19378353117 19601092808 20182481154 20530454967 20824498872 21677479758 22051229409 23427561231 23648159736 23696843544 24055886628 25452165288 25837804156 26604179703 26909974872 27373939956 28633685949 28903306344 29401639212 30770528184 31236748308 32516219637 34942803192 35472239604 35545265316 36083829942 38178247932 38756706234 40364962308 41060909934 43354959516 44102458818 46855122462 48111773256 51675608312 53208359406 54125744913 54747879912 57267371898 58135059351 58803278424 62473496616 65032439274 66153688227 70944479208 71053961429 71090530632 72167659884 76356495864 77513412468 80729924616 82121819868 85901057847 86709919032 88204917636 93710244924 97548658911 106416718812 108251489826 114534743796 116270118702 130064878548 132307376454 142107922858 144335319768 155026824936 164243639736 171802115694 174405178053 176409835272 187420489848 195097317822 198461064681 212833437624 213161884287 216502979652 229069487592 232540237404 257703173541 260129757096 264614752908 284215845716 292645976733 343604231388 348810356106 390194635644 396922129362 426323768574 433005959304 465080474808 515406347082 523215534159 529229505816 568431691432 585291953466 595383194043 639485652861 687208462776 697620712212 780389271288 793844258724 852647537148 1030812694164 1046431068318 1170583906932 1190766388086 1278971305722 1395241424424 1569646602477 1587688517448 1705295074296 1918456958583 2061625388328 2092862136636 2341167813864 2381532776172 2557942611444 3139293204954 3836913917166 4185724273272 4763065552344 5115885222888 5755370875749 6278586409908 7673827834332 11510741751498 12557172819816 15347655668664 17266112627247 23021483502996 34532225254494 46042967005992 69064450508988 138128901017976
- Sum of all divisors σ(n): 452519724384000
- Sum of proper divisors (its aliquot sum) s(n): 314390823366024
- 138128901017976 is an abundant number, because the sum of its proper divisors (314390823366024) is greater than itself. Its abundance is 176261922348048
Bases of 138128901017976
- Binary: 111110110100000101001000001010000010001011110002
- Hexadecimal: 0x7DA0A4141178
- Base-36: 1CYNJHA7I0
Squares and roots of 138128901017976
- 138128901017976 squared (1381289010179762) is 19079593296433811249075136576
- 138128901017976 cubed (1381289010179763) is 2635443253906344336172880072681157631090176
-
The
square root of 138128901017976 is 11752825.2355753167 -
The
cube root of 138128901017976 is 51692.5772569295
Scales and comparisons
How big is 138128901017976?- 138,128,901,017,976 seconds is equal to 4,392,071 years, 41 weeks, 1 day, 3 hours, 39 minutes, 36 seconds.
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To count from 1 to 138,128,901,017,976 would take you about ten million, nine hundred eighty thousand, one hundred seventy-nine 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 138128901017976 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138128901017976
- 138128901017976 backwards is 679710109821831
- The number of decimal digits it has is: 15
- The sum of 138128901017976's digits is 63
- More coming soon!
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The information we have on file for 138128901017976 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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