138390398083677168
138,390,398,083,677,168 is an even composite number composed of six prime numbers multiplied together.
138390398083677168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred divisors.
Prime factorization of 138390398083677168:
24 × 32 × 116 × 13 × 294 × 59
(2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 11 × 11 × 11 × 13 × 29 × 29 × 29 × 29 × 59)See below for interesting mathematical facts about the number 138390398083677168 from the Numbermatics database.
Names of 138390398083677168
- Cardinal: 138390398083677168 can be written as One hundred thirty-eight quadrillion, three hundred ninety trillion, three hundred ninety-eight billion, eighty-three million, six hundred seventy-seven thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38390398083677168 × 1017
Factors of 138390398083677168
Divisors of 138390398083677168
- Number of divisors d(n): 2100
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 29 33 36 39 44 48 52 58 59 66 72 78 87 88 99 104 116 117 118 121 132 143 144 156 174 176 177 198 208 232 234 236 242 261 264 286 312 319 348 354 363 377 396 429 464 468 472 484 522 528 531 572 624 638 649 696 708 726 754 767 792 841 858 936 944 957 968 1044 1062 1089 1131 1144 1276 1287 1298 1331 1392 1416 1452 1508 1534 1573 1584 1682 1711 1716 1872 1914 1936 1947 2088 2124 2178 2262 2288 2301 2523 2552 2574 2596 2662 2832 2871 2904 3016 3068 3146 3364 3393 3422 3432 3509 3828 3894 3993 4147 4176 4248 4356 4524 4602 4719 5046 5104 5133 5148 5192 5324 5742 5808 5841 6032 6136 6292 6728 6786 6844 6864 6903 7018 7139 7569 7656 7788 7986 8294 8437 8496 8712 9048 9204 9251 9438 10092 10266 10296 10384 10527 10648 10933 11484 11682 11979 12272 12441 12584 13456 13572 13688 13806 14036 14157 14278 14641 15138 15312 15399 15576 15972 16588 16874 17303 17424 18096 18408 18502 18821 18876 20184 20532 20592 21054 21296 21417 21866 22243 22968 23364 23958 24389 24882 25168 25311 27144 27376 27612 27753 28072 28314 28556 29282 30276 30798 31152 31581 31944 32799 33176 33748 34606 36816 37004 37323 37642 37752 38599 40368 41064 42108 42834 43732 43923 44486 45617 45936 46728 47916 48778 49619 49764 50622 51909 54288 55224 55506 56144 56463 56628 57112 58564 60552 61596 63162 63888 64251 65598 66352 66729 67496 69212 73167 74008 74646 75284 75504 75933 77198 78529 82128 83259 84216 85668 87464 87846 88972 91234 92807 93456 95832 97556 98397 99238 99528 101244 101761 103818 110448 111012 112926 113256 114224 115797 117128 120263 121104 123192 126324 128502 131196 131769 133458 134992 136851 138424 146334 148016 148857 149292 150568 151866 154396 155727 157058 161051 166518 168432 169389 171336 174928 175692 177944 182468 185614 190333 191664 195112 196794 198476 199056 200187 202488 203522 207031 207636 219501 222024 225852 226512 231594 234256 235587 240526 244673 246384 252648 257004 262392 263538 266916 268279 273702 276848 278421 292668 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195466663959996 198836778855858 213236360683632 216912849660936 221779484108457 241941255391044 260622218613328 262103026673631 265115705141144 285930574553052 293199995939994 295705978811276 298255168283787 322588340521392 349470702231508 367083284041584 381240766070736 390933327919992 397673557711716 433825699321872 443558968216914 483882510782088 524206053347262 530231410282288 571861149106104 586399991879988 591411957622552 596510336567574 665338452325371 698941404463016 781866655839984 786309080020893 795347115423432 887117936433828 961044431136647 967765021564176 1048412106694524 1143722298212208 1172799983759976 1182823915245104 1193020673135148 1330676904650742 1397882808926032 1572618160041786 1590694230846864 1774235872867656 1922088862273294 2096824213389048 2345599967519952 2386041346270296 2661353809301484 2883133293409941 3145236320083572 3548471745735312 3844177724546588 4193648426778096 4772082692540592 5322707618602968 5766266586819882 6290472640167144 7688355449093176 8649399880229823 10645415237205936 11532533173639764 12580945280334288 15376710898186352 17298799760459646 23065066347279528 34597599520919292 46130132694559056 69195199041838584 138390398083677168
- Sum of all divisors σ(n): 483242411617132440
- Sum of proper divisors (its aliquot sum) s(n): 344852013533455272
- 138390398083677168 is an abundant number, because the sum of its proper divisors (344852013533455272) is greater than itself. Its abundance is 206461615449778104
Bases of 138390398083677168
- Binary: 1111010111010100101010101011101100001101000111011111100002
- Hexadecimal: 0x1EBA955761A3BF0
- Base-36: 11UNAV7GTUK0
Squares and roots of 138390398083677168
- 138390398083677168 squared (1383903980836771682) is 19151902281758637173067596444500224
- 138390398083677168 cubed (1383903980836771683) is 2650439380832262883068720371039593253491799919685632
-
The
square root of 138390398083677168 is 372008599.4754384277 -
The
cube root of 138390398083677168 is 517251.7708697881
Scales and comparisons
How big is 138390398083677168?- 138,390,398,083,677,168 seconds is equal to 4,400,386,589 years, 23 weeks, 4 days, 1 hour, 52 minutes, 48 seconds.
-
To count from 1 to 138,390,398,083,677,168 would take you about thirteen billion, two hundred one million, one hundred fifty-nine thousand, seven hundred sixty-eight 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 138390398083677168 cubic inches would be around 43104.3 feet tall.
Recreational maths with 138390398083677168
- 138390398083677168 backwards is 861776380893093831
- The number of decimal digits it has is: 18
- The sum of 138390398083677168's digits is 90
- More coming soon!
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"Number 138390398083677168 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 138390398083677168 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/138390398083677168/
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The information we have on file for 138390398083677168 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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