138408798711456
138,408,798,711,456 is an even composite number composed of six prime numbers multiplied together.
What does the number 138408798711456 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138408798711456 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 138408798711456:
25 × 35 × 7 × 133 × 41 × 28229
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 13 × 41 × 28229)See below for interesting mathematical facts about the number 138408798711456 from the Numbermatics database.
Names of 138408798711456
- Cardinal: 138408798711456 can be written as One hundred thirty-eight trillion, four hundred eight billion, seven hundred ninety-eight million, seven hundred eleven thousand, four hundred fifty-six.
Scientific notation
- Scientific notation: 1.38408798711456 × 1014
Factors of 138408798711456
Divisors of 138408798711456
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 41 42 48 52 54 56 63 72 78 81 82 84 91 96 104 108 112 117 123 126 144 156 162 164 168 169 182 189 208 216 224 234 243 246 252 273 287 288 312 324 328 336 338 351 364 369 378 416 432 468 486 492 504 507 533 546 567 574 624 648 656 672 676 702 728 738 756 819 861 864 936 972 984 1008 1014 1053 1066 1092 1107 1134 1148 1183 1248 1296 1312 1352 1404 1456 1476 1512 1521 1599 1638 1701 1722 1872 1944 1968 2016 2028 2106 2132 2184 2197 2214 2268 2296 2366 2457 2583 2592 2704 2808 2912 2952 3024 3042 3159 3198 3276 3321 3402 3444 3549 3731 3744 3888 3936 4056 4212 4264 4368 4394 4428 4536 4563 4592 4732 4797 4914 5166 5408 5616 5904 6048 6084 6318 6396 6552 6591 6642 6804 6888 6929 7098 7371 7462 7749 7776 8112 8424 8528 8736 8788 8856 9072 9126 9184 9464 9594 9828 9963 10332 10647 11193 11232 11808 12168 12636 12792 13104 13182 13284 13608 13689 13776 13858 14196 14391 14742 14924 15379 15498 16224 16848 17056 17576 17712 18144 18252 18928 19188 19656 19773 19926 20664 20787 21294 22113 22386 23247 24336 25272 25584 26208 26364 26568 27216 27378 27552 27716 28229 28392 28782 29484 29848 30758 30996 31941 33579 33696 35152 35424 36504 37856 38376 39312 39546 39852 41067 41328 41574 42588 43173 44226 44772 46137 46494 48503 48672 50544 51168 52728 53136 54432 54756 55432 56458 56784 57564 58968 59319 59696 61516 61992 62361 63882 67158 69741 70304 73008 76752 78624 79092 79704 82134 82656 83148 84687 85176 86346 88452 89544 90077 92274 92988 95823 97006 100737 101088 105456 106272 109512 110864 112916 113568 115128 117936 118638 119392 123032 123984 124722 127764 129519 134316 138411 139482 145509 146016 153504 158184 159408 164268 166296 169374 170352 172692 176904 177957 179088 180154 184548 185976 187083 191646 194012 197603 201474 210912 219024 221728 225832 230256 235872 237276 246064 247968 249444 254061 255528 259038 268632 270231 276822 278964 287469 291018 302211 316368 318816 328536 332592 338748 340704 345384 353808 355914 358176 360308 366977 369096 371952 374166 383292 388024 395206 402948 415233 436527 438048 451664 460512 474552 492128 498888 508122 511056 518076 533871 537264 540462 553644 557928 561249 574938 582036 592809 604422 630539 632736 657072 665184 677496 690768 707616 711828 720616 733954 738192 743904 748332 762183 766584 776048 790412 805896 810693 830466 873054 903328 906633 949104 997776 1016244 1022112 1036152 1067742 1074528 1080924 1100931 1107288 1115856 1122498 1149876 1157389 1164072 1185618 1208844 1245699 1261078 1309581 1314144 1354992 1381536 1423656 1441232 1467908 1476384 1496664 1524366 1533168 1552096 1580824 1611792 1621386 1660932 1683747 1746108 1778427 1813266 1891617 1898208 1995552 2032488 2072304 2135484 2161848 2201862 2214576 2231712 2244996 2286549 2299752 2314778 2328144 2371236 2417688 2432079 2491398 2522156 2568839 2619162 2709984 2847312 2882464 2935816 2993328 3048732 3066336 3161648 3223584 3242772 3302793 3321864 3367494 3472167 3492216 3556854 3626532 3737097 3783234 3928743 4064976 4144608 4270968 4323696 4403724 4429152 4489992 4573098 4599504 4629556 4656288 4742472 4770701 4835376 4864158 4982796 5044312 5137678 5238324 5335281 5674851 5694624 5871632 5986656 6097464 6323296 6485544 6605586 6643728 6734988 6859647 6944334 6984432 7113708 7253064 7296237 7474194 7566468 7706517 7857486 8101723 8129952 8541936 8647392 8807448 8979984 9146196 9199008 9259112 9484944 9541402 9670752 9728316 9908379 9965592 10088624 10275356 10416501 10476648 10670562 11349702 11743264 11786229 12194928 12971088 13211172 13287456 13469976 13719294 13888668 13968864 14227416 14312103 14506128 14592474 14948388 15046057 15132936 15413034 15714972 16005843 16203446 17024553 17083872 17614896 17959968 18292392 18518224 18969888 19082804 19456632 19816758 19931184 20177248 20550712 20833002 20953296 21341124 21888711 22699404 23119551 23572458 24305169 24389856 25942176 26422344 26939952 27438588 27777336 28454832 28624206 29012256 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40188385224 40684538128 41676843936 42249328056 43279799472 43814117984 45499276368 45770105394 46886449428 47530494063 49290882732 51186685914 53398456293 53584513632 56332437408 58499069616 60282577836 61026807192 62515265904 62998998048 63373992084 64919699208 65721176976 68248914552 68655158091 70329674142 71197941724 73936324098 80376770448 81369076256 84498656112 86559598944 90998552736 91540210788 93772898856 95060988126 98581765464 102373371828 105494511213 106796912586 110904486147 116998139232 120565155672 122053614384 125030531808 126747984168 129839398416 131442353952 136497829104 137310316182 140659348284 142395883448 147872648196 160195368879 160753540896 168997312224 183080421576 187545797712 190121976252 197163530928 204746743656 205965474273 210989022426 213593825172 221808972294 241130311344 244107228768 253495968336 259678796832 272995658208 274620632364 281318696568 284791766896 295745296392 320390737758 332713458441 366160843152 375091595424 380243952504 394327061856 409493487312 411930948546 421978044852 427187650344 443617944588 480586106637 482260622688 506991936672 549241264728 562637393136 569583533792 591490592784 617896422819 640781475516 665426916882 732321686304 760487905008 818986974624 823861897092 843956089704 854375300688 887235889176 961172213274 1098482529456 1125274786272 1182981185568 1235792845638 1281562951032 1330853833764 1441758319911 1520975810016 1647723794184 1687912179408 1708750601376 1774471778352 1922344426548 2196965058912 2471585691276 2563125902064 2661707667528 2883516639822 3295447588368 3375824358816 3548943556704 3844688853096 4325274959733 4943171382552 5126251804128 5323415335056 5767033279644 6590895176736 7689377706192 8650549919466 9886342765104 10646830670112 11534066559288 15378755412384 17301099838932 19772685530208 23068133118576 34602199677864 46136266237152 69204399355728 138408798711456
- Sum of all divisors σ(n): 517689129484800
- Sum of proper divisors (its aliquot sum) s(n): 379280330773344
- 138408798711456 is an abundant number, because the sum of its proper divisors (379280330773344) is greater than itself. Its abundance is 240871532061888
Bases of 138408798711456
- Binary: 111110111100001110011110100011111101110101000002
- Hexadecimal: 0x7DE1CF47EEA0
- Base-36: 1D284H5600
Squares and roots of 138408798711456
- 138408798711456 squared (1384087987114562) is 19156995560748344085945639936
- 138408798711456 cubed (1384087987114563) is 2651496742483873719093918606893098134306816
-
The
square root of 138408798711456 is 11764726.8863946009 -
The
cube root of 138408798711456 is 51727.4694751875
Scales and comparisons
How big is 138408798711456?- 138,408,798,711,456 seconds is equal to 4,400,971 years, 34 weeks, 6 days, 18 hours, 57 minutes, 36 seconds.
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To count from 1 to 138,408,798,711,456 would take you about eleven million, two thousand, four hundred twenty-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 138408798711456 cubic inches would be around 4310.6 feet tall.
Recreational maths with 138408798711456
- 138408798711456 backwards is 654117897804831
- 138408798711456 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138408798711456's digits is 72
- More coming soon!
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The information we have on file for 138408798711456 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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