4138129374946875
4,138,129,374,946,875 is an odd composite number composed of six prime numbers multiplied together.
What does the number 4138129374946875 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
4138129374946875 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 4138129374946875:
32 × 55 × 74 × 112 × 17 × 313
(3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 11 × 17 × 31 × 31 × 31)See below for interesting mathematical facts about the number 4138129374946875 from the Numbermatics database.
Names of 4138129374946875
- Cardinal: 4138129374946875 can be written as Four quadrillion, one hundred thirty-eight trillion, one hundred twenty-nine billion, three hundred seventy-four million, nine hundred forty-six thousand, eight hundred seventy-five.
Scientific notation
- Scientific notation: 4.138129374946875 × 1015
Factors of 4138129374946875
Divisors of 4138129374946875
- Number of divisors d(n): 2160
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Complete list of divisors:
1 3 5 7 9 11 15 17 21 25 31 33 35 45 49 51 55 63 75 77 85 93 99 105 119 121 125 147 153 155 165 175 187 217 225 231 245 255 275 279 315 341 343 357 363 375 385 425 441 465 495 525 527 539 561 595 605 625 651 693 735 765 775 825 833 847 875 935 961 1023 1029 1071 1085 1089 1125 1155 1225 1275 1309 1375 1395 1519 1575 1581 1617 1683 1705 1715 1785 1815 1875 1925 1953 2057 2125 2205 2325 2387 2401 2475 2499 2541 2625 2635 2695 2805 2883 2975 3025 3069 3087 3125 3255 3465 3675 3689 3751 3773 3825 3875 3927 4125 4165 4235 4375 4557 4675 4743 4805 4851 5115 5145 5355 5425 5445 5625 5775 5797 5831 5929 6125 6171 6375 6545 6727 6875 6975 7161 7203 7497 7595 7623 7875 7905 8085 8415 8525 8575 8649 8925 9075 9163 9375 9625 9765 10285 10571 10625 10633 11025 11067 11253 11319 11625 11781 11935 12005 12375 12495 12705 13125 13175 13475 13671 14025 14399 14415 14875 15125 15345 15435 16275 16337 16709 17325 17391 17493 17787 18375 18445 18513 18755 18865 19125 19375 19635 20181 20625 20825 21175 21483 21609 21875 22785 23375 23715 24025 24255 25575 25725 25823 26257 26411 26775 27125 27225 27489 28125 28875 28985 29155 29645 29791 30625 30855 31713 31875 31899 32725 33201 33635 33759 33957 34375 34875 35805 36015 37485 37975 38115 39375 39525 40425 40579 40817 41503 42075 42625 42875 43197 43245 44625 45375 45815 47089 48125 48825 49011 50127 51425 52173 52479 52855 53125 53165 53361 55125 55335 56265 56595 58125 58905 59675 60025 60543 61875 62475 63525 63767 64141 65625 65875 67375 68355 70125 71995 72075 73997 74375 74431 75625 76725 77175 77469 78771 79233 81375 81685 82467 83545 86625 86955 87465 88935 89373 91875 92225 92565 93775 94325 95139 95625 95697 96875 98175 100793 100905 103125 104125 105875 107415 108045 113925 114359 116281 116875 116963 118575 120125 121275 121737 122451 124509 127875 128625 129115 129591 131285 132055 133875 135625 136125 137445 141267 144375 144925 145775 147033 148225 148955 150381 153125 154275 158565 159375 159495 163625 166005 168175 168795 169785 174375 179025 179707 180075 180761 183799 187425 189875 190575 191301 192423 196875 197625 202125 202895 204085 207515 208537 210375 213125 214375 215985 216225 221991 223125 223293 226875 229075 232407 235445 236313 237699 240625 244125 245055 250635 257125 260865 262395 264275 265825 266805 268119 275625 276675 281325 282975 284053 290521 290625 294525 298375 300125 302379 302715 309375 312375 317625 318835 320705 327701 329375 329623 336875 341775 343077 348843 350625 350889 359975 360375 365211 367353 369985 371875 372155 373527 378125 383625 385875 387345 393855 396165 406875 408425 412335 417725 423801 433125 434775 437325 444675 446369 446865 448987 459375 461125 462825 468875 471625 475695 478125 478485 490875 503965 504525 506447 517979 520625 529375 537075 539121 540225 542283 551397 569625 571795 573903 577269 581405 584375 584815 592875 600625 606375 608685 612255 622545 625611 639375 643125 645575 647955 656425 660275 665973 669375 669879 678125 680625 687225 705551 706335 721875 724625 728875 735165 741125 744775 751905 771375 792825 797475 800513 813967 818125 818741 830025 840875 843975 848925 852159 871563 871875 895125 898535 900375 903805 907137 918995 937125 949375 952875 956505 962115 983103 988125 988869 1010625 1014475 1020425 1029231 1037575 1042685 1046529 1051875 1052667 1065625 1071875 1079925 1081125 1109955 1115625 1116465 1134375 1145375 1162035 1177225 1181565 1188495 1220625 1225275 1253175 1257949 1265327 1285625 1286593 1304325 1311975 1321375 1329125 1334025 1339107 1340595 1346961 1378125 1383375 1406625 1414875 1420265 1452605 1459759 1472625 1491875 1500625 1511895 1513575 1519341 1553937 1561875 1588125 1594175 1603525 1617363 1626849 1638505 1646875 1648115 1654191 1684375 1708875 1715385 1744215 1753125 1754445 1799875 1801875 1826055 1836765 1849925 1860775 1867635 1876833 1918125 1929375 1936725 1969275 1976777 1980825 1988371 2034375 2042125 2061675 2088625 2116653 2119005 2165625 2173875 2186625 2223375 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3378064795875 3582795995625 3678337222175 3799935146875 3813944124375 3863799603125 4021505709375 4045092253125 4306065946875 4425806818125 4729290714225 4885630903125 4967742346875 5015914393875 5339521774125 5409319444375 5630107993125 5971326659375 6356573540625 6621006999915 6839883264375 6954839285625 7376344696875 7677419990625 7852237903125 7882151190375 8359857323125 8899202956875 9383513321875 9736774999875 10748387986875 11035011666525 11399805440625 11591398809375 12064517128125 12135276759375 13136918650625 14832004928125 15047743181625 16227958333125 16890323979375 17913979978125 18391686110875 19069720621875 22129034090625 23646453571125 25079571969375 26697608870625 27046597221875 28150539965625 33105034999575 34199416321875 34774196428125 39410755951875 41799286615625 44496014784375 48683874999375 53741939934375 55175058332625 65684593253125 75238715908125 81139791665625 84451619896875 91958430554375 118232267855625 125397859846875 133488044353125 165525174997875 197053779759375 243419374996875 275875291663125 376193579540625 459792152771875 591161339278125 827625874989375 1379376458315625 4138129374946875
- Sum of all divisors σ(n): 10481848939231488
- Sum of proper divisors (its aliquot sum) s(n): 6343719564284613
- 4138129374946875 is an abundant number, because the sum of its proper divisors (6343719564284613) is greater than itself. Its abundance is 2205590189337738
Bases of 4138129374946875
- Binary: 11101011001110011011010100110110110110100110001110112
- Hexadecimal: 0xEB39B536DA63B
- Base-36: 14QUEE2IBSR
Squares and roots of 4138129374946875
- 4138129374946875 squared (41381293749468752) is 17124114723798214378909072265625
- 4138129374946875 cubed (41381293749468753) is 70861802158509683899209232257501070770263671875
-
The
square root of 4138129374946875 is 64328293.7357029159 -
The
cube root of 4138129374946875 is 160546.6895082973
Scales and comparisons
How big is 4138129374946875?- 4,138,129,374,946,875 seconds is equal to 131,579,714 years, 2 weeks, 3 days, 17 hours, 41 minutes, 15 seconds.
-
To count from 1 to 4,138,129,374,946,875 would take you about three hundred ninety-four million, seven hundred thirty-nine thousand, one hundred forty-two 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 4138129374946875 cubic inches would be around 13378.9 feet tall.
Recreational maths with 4138129374946875
- 4138129374946875 backwards is 5786494739218314
- The number of decimal digits it has is: 16
- The sum of 4138129374946875's digits is 81
- More coming soon!
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The information we have on file for 4138129374946875 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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