138791705535346149
138,791,705,535,346,149 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138791705535346149 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
138791705535346149 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138791705535346149:
32 × 113 × 132 × 313 × 372 × 412
(3 × 3 × 11 × 11 × 11 × 13 × 13 × 31 × 31 × 31 × 37 × 37 × 41 × 41)See below for interesting mathematical facts about the number 138791705535346149 from the Numbermatics database.
Names of 138791705535346149
- Cardinal: 138791705535346149 can be written as One hundred thirty-eight quadrillion, seven hundred ninety-one trillion, seven hundred five billion, five hundred thirty-five million, three hundred forty-six thousand, one hundred forty-nine.
Scientific notation
- Scientific notation: 1.38791705535346149 × 1017
Factors of 138791705535346149
Divisors of 138791705535346149
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 3 9 11 13 31 33 37 39 41 93 99 111 117 121 123 143 169 279 333 341 363 369 403 407 429 451 481 507 533 961 1023 1089 1147 1209 1221 1271 1287 1331 1353 1369 1443 1517 1521 1573 1599 1681 1859 2883 3069 3441 3627 3663 3751 3813 3993 4059 4107 4329 4433 4477 4551 4719 4797 4961 5043 5239 5291 5577 5863 6253 6929 8649 10323 10571 11253 11439 11979 12321 12493 12617 13299 13431 13653 13981 14157 14883 14911 15059 15129 15717 15873 16523 16687 16731 17303 17589 17797 18491 18759 19721 20449 20787 21853 29791 31713 33759 35557 37479 37851 39401 39897 40293 41261 41943 42439 44649 44733 45177 47027 47151 47619 48763 49247 49569 50061 51909 52111 52767 53391 54571 55473 56129 56277 57629 58201 59163 61347 62197 62361 64493 65559 68783 76219 89373 95139 106671 112437 113553 116281 118203 123783 125829 127317 134199 135531 137423 138787 141081 146289 147741 148707 150183 153791 155727 156333 160173 162409 163713 164021 165649 166419 168387 172887 174603 177489 181753 183557 184041 186591 193479 193843 195767 196677 203401 206349 214799 216931 224939 228657 231361 240383 256373 268119 284089 320013 327701 348843 354609 371349 381951 387283 391127 412269 416361 423243 433411 438867 443223 461373 462241 466829 468999 487227 491139 492063 496947 505161 512213 517297 518661 523809 536393 545259 550671 551707 559773 573221 580437 581529 587301 610203 611351 617419 619047 633919 640211 644397 650793 674817 677443 684167 685971 694083 709423 721149 729677 756613 769119 808561 838409 852267 983103 1046529 1102267 1161849 1173381 1221431 1236807 1249083 1279091 1300233 1315609 1384119 1386723 1400487 1457837 1461681 1476189 1490841 1511653 1526657 1536639 1551891 1609179 1615441 1635777 1652013 1655121 1691701 1719663 1739999 1744587 1761903 1786499 1804231 1822139 1830609 1834053 1852257 1901757 1920633 1928107 1933191 1952379 1999283 2019127 2024451 2032329 2052501 2082249 2128269 2132273 2153437 2163447 2189031 2237411 2269839 2301289 2307357 2362789 2386241 2425683 2515227 2544971 2556801 2644213 2820103 2949309 3124979 3306801 3485547 3520143 3604711 3664293 3837273 3900699 3946827 4160169 4201461 4260113 4302397 4373511 4534959 4579971 4609917 4655673 4767521 4827537 4846323 4965363 5034679 5075103 5084651 5135119 5158989 5219997 5359497 5412693 5466417 5502159 5556771 5634343 5690267 5705271 5761899 5784321 5997849 6009133 6057381 6068777 6096987 6157503 6305431 6384807 6396819 6460311 6567093 6658769 6712233 6724861 6791609 6809517 6903867 6973109 7088367 7158723 7172191 7277049 7451873 7525837 7545681 7634913 7932639 7947563 8026447 8322743 8460309 8806759 8894171 9222499 9374937 9485801 9920403 10511293 10814133 10992879 11511819 11840481 12124937 12780339 12907191 13120533 13435741 13604877 13739913 14302563 14329471 14471699 14538969 15104037 15225309 15253953 15405357 15659991 15878603 16036207 16078491 16238079 16399251 16628183 16903029 17070801 17102917 17352963 17769851 17993547 18027399 18172143 18206331 18916293 18951881 19139989 19190457 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26492022434691 27521654875143 27976558261509 28933021791817 29411253556971 30496968915699 31001051046537 31308753786453 32060916039581 33793938528207 34193571208511 34758754203693 36399608060673 37001254474899 37890173501323 38266254627887 40334700823989 45223755469321 48141417112503 74659335952311 82564964625429 86799065375451 88233760670913 91250299497269 91490906747097 96182748118743 101381815584621 102580713625533 104276262611079 107841263042227 109198824182019 113670520503969 114798763883661 121004102471967 127448765413541 135671266407963 144424251337509 260397196126353 273750898491807 288548244356229 307742140876599 323523789126681 341011561511907 344396291650983 376129283293621 382346296240623 407013799223889 416791908514553 497461310162531 821252695475421 970571367380043 1128387849880863 1147038888721869 1186253893464497 1250375725543659 1401936419548951 1492383930487593 3385163549642589 3558761680393491 3751127176630977 4205809258646853 4477151791462779 10676285041180473 12617427775940559 15421300615038461 46263901845115383 138791705535346149
- Sum of all divisors σ(n): 259920147026502144
- Sum of proper divisors (its aliquot sum) s(n): 121128441491155995
- 138791705535346149 is a deficient number, because the sum of its proper divisors (121128441491155995) is less than itself. Its deficiency is 17663264044190154
Bases of 138791705535346149
- Binary: 1111011010001011001010010001000100011010001110101111001012
- Hexadecimal: 0x1ED1652223475E5
- Base-36: 11YLJXB03NJ9
Squares and roots of 138791705535346149
- 138791705535346149 squared (1387917055353461492) is 19263137525410234856383589249130201
- 138791705535346149 cubed (1387917055353461493) is 2673563711113613812053667361456972935102359704945949
-
The
square root of 138791705535346149 is 372547588.2828207881 -
The
cube root of 138791705535346149 is 517751.2676319021
Scales and comparisons
How big is 138791705535346149?- 138,791,705,535,346,149 seconds is equal to 4,413,146,925 years, 4 weeks, 5 days, 4 hours, 9 minutes, 9 seconds.
-
To count from 1 to 138,791,705,535,346,149 would take you about thirteen billion, two hundred thirty-nine million, four hundred forty thousand, seven hundred seventy-five 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 138791705535346149 cubic inches would be around 43145.9 feet tall.
Recreational maths with 138791705535346149
- 138791705535346149 backwards is 941643535507197831
- The number of decimal digits it has is: 18
- The sum of 138791705535346149's digits is 81
- More coming soon!
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"Number 138791705535346149 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138791705535346149 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138791705535346149/
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Numbermatics. 2024. "Number 138791705535346149 - Facts about the integer". https://numbermatics.com/n/138791705535346149/
The information we have on file for 138791705535346149 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!
Keywords: Divisors of 138791705535346149, math, Factors of 138791705535346149, curriculum, school, college, exams, university, Prime factorization of 138791705535346149, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seven hundred ninety-one trillion, seven hundred five billion, five hundred thirty-five million, three hundred forty-six thousand, one hundred forty-nine.