13664114380125
13,664,114,380,125 is an odd composite number composed of five prime numbers multiplied together.
13664114380125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13664114380125:
37 × 53 × 113 × 17 × 472
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 17 × 47 × 47)See below for interesting mathematical facts about the number 13664114380125 from the Numbermatics database.
Names of 13664114380125
- Cardinal: 13664114380125 can be written as Thirteen trillion, six hundred sixty-four billion, one hundred fourteen million, three hundred eighty thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.3664114380125 × 1013
Factors of 13664114380125
Divisors of 13664114380125
- Number of divisors d(n): 768
-
Complete list of divisors:
1 3 5 9 11 15 17 25 27 33 45 47 51 55 75 81 85 99 121 125 135 141 153 165 187 225 235 243 255 275 297 363 375 405 423 425 459 495 517 561 605 675 705 729 765 799 825 891 935 1089 1125 1175 1215 1269 1275 1331 1375 1377 1485 1551 1683 1815 2025 2057 2115 2125 2187 2209 2295 2397 2475 2585 2673 2805 3025 3267 3375 3525 3645 3807 3825 3993 3995 4125 4131 4455 4653 4675 5049 5445 5687 5875 6075 6171 6345 6375 6627 6655 6885 7191 7425 7755 8019 8415 8789 9075 9801 10125 10285 10575 10935 11045 11421 11475 11979 11985 12375 12393 12925 13365 13959 14025 15125 15147 16335 17061 17625 18225 18513 19035 19125 19881 19965 19975 20655 21573 22275 22627 23265 23375 24057 24299 25245 26367 27225 28435 29403 30375 30855 31725 33135 33275 34263 34425 35937 35955 37125 37179 37553 38775 40095 41877 42075 43945 45375 45441 49005 51183 51425 52875 54675 55225 55539 57105 57375 59643 59895 59925 61965 62557 64625 64719 66825 67881 69795 70125 72897 75735 79101 81675 85305 88209 91125 92565 95175 96679 99405 99825 99875 102789 103275 107811 107865 111375 112659 113135 116325 120285 121495 125631 126225 131835 136125 136323 142175 147015 153549 154275 158625 165675 166375 166617 171315 172125 178929 179685 179775 185895 187671 187765 193875 194157 200475 203643 209385 210375 218691 219725 227205 237303 245025 255915 257125 264627 267289 273375 276125 277695 285525 290037 298215 299475 299625 309825 312785 323433 323595 334125 337977 339405 348975 364485 376893 378675 395505 408375 408969 413083 426525 441045 460647 462825 475875 483395 497025 499125 499851 513945 516375 536787 539055 539325 563013 563295 565675 581625 582471 601425 607475 610929 628155 631125 656073 659175 681615 710875 711909 735075 767745 771375 801867 828375 833085 856575 870111 894645 898425 898875 929475 938355 938825 970299 970785 1002375 1013931 1018215 1046925 1063469 1093455 1098625 1130679 1136025 1186515 1225125 1239249 1279575 1323135 1336445 1381941 1388475 1427625 1450185 1491075 1497375 1499553 1549125 1563925 1610361 1617165 1617975 1689039 1689885 1697025 1744875 1747413 1822425 1832787 1884465 1893375 1968219 1977525 2044845 2065415 2132625 2135727 2205225 2303235 2314125 2405601 2416975 2485125 2499255 2569725 2610333 2683935 2695275 2696625 2815065 2816475 2828375 2910897 2912355 2940179 3007125 3037375 3041793 3054645 3140775 3190407 3280365 3295875 3408075 3559545 3675375 3717747 3838725 4009335 4145823 4165425 4282875 4350555 4473225 4492125 4498659 4543913 4647375 4691775 4694125 4831083 4851495 4853925 5067117 5069655 5091075 5234625 5317345 5467275 5498361 5653395 5680125 5904657 5932575 6196245 6397875 6407181 6615675 6682225 6909705 6942375 7216803 7250925 7455375 7497765 7819625 7830999 8051805 8085825 8089875 8445195 8449425 8485125 8737065 8820537 9112125 9125379 9163935 9422325 9571221 9841095 9887625 10224225 10327075 10678635 11026125 11153241 11516175 12028005 12084875 12437469 12496275 12848625 13051665 13419675 13476375 13631739 14075325 14082375 14554485 14561775 14700895 15201351 15208965 15273225 15703875 15952035 16401825 16495083 17040375 17713971 17797725 18588735 19193625 19221543 20046675 20729115 20827125 21650409 21752775 22366125 22493295 22719565 23458875 23492997 24155415 24257475 24269625 25335585 25348275 25455375 26461611 26586725 27336375 27376137 27491805 28266975 28713663 29523285 29662875 30981225 32035905 33078375 33411125 33459723 34548525 36084015 36254625 37488825 39154995 40259025 40429125 40895217 42225975 42247125 43685325 44102685 45604053 45626895 45819675 47111625 47856105 49205475 49485249 49983043 51121125 51635375 53141913 53393175 55766205 57580875 60140025 62187345 62481375 64951227 65258325 67098375 68158695 70376625 70478991 72772425 72808875 73504475 76006755 76044825 76366125 79384833 79760175 82009125 82128411 82475415 86140989 88569855 88988625 92943675 96107715 100233375 100379169 103645575 108252045 108763875 112466475 113597825 117464985 120777075 121287375 122685651 126677925 126741375 132308055 132933625 136812159 136880685 137459025 141334875 143568315 147616425 149949129 154906125 160179525 167298615 172742625 180420075 187444125 194853681 195774975 201295125 204476085 211129875 211436973 218426625 220513425 228020265 228134475 229098375 238154499 239280525 246027375 247426245 249915215 258422967 265709565 266965875 278831025 300700125 301137507 310936725 324756135 326291625 340793475 352394955 363862125 367522375 368056953 380033775 380224125 396924165 398800875 410642055 412377075 430704945 442849275 449847387 464718375 480538575 501895845 518227875 541260225 562332375 567989125 584561043 587324925 603885375 613428255 633389625 661540275 684060795 684403425 687295125 714463497 717841575 738082125 749745645 775268901 800897625 836493075 902100375 903412521 974268405 978874875 1022380425 1057184865 1102567125 1104170859 1140101325 1140672375 1190772495 1196402625 1237131225 1249576075 1292114835 1328547825 1349542161 1394155125 1505687535 1554683625 1623780675 1703967375 1761974775 1840284765 1900168875 1984620825 2053210275 2061885375 2143390491 2153524725 2214246375 2249236935 2325806703 2402692875 2509479225 2706301125 2922805215 2936624625 3067141275 3307701375 3312512577 3420303975 3422017125 3572317485 3589207875 3748728225 3876344505 4048626483 4182465375 4517062605 4871342025 5111902125 5285924325 5520854295 5700506625 5953862475 6185656125 6247880375 6430171473 6460574175 6642739125 6747710805 7528437675 8118903375 8809873875 9201423825 9923104125 9937537731 10266051375 10716952455 10767623625 11246184675 11629033515 12145879449 12547396125 14614026075 15335706375 16562562885 17101519875 17861587425 18743641125 19381722525 20243132415 22585313025 24356710125 26429621625 27604271475 29769312375 32150857365 32302870875 33738554025 36437638347 37642188375 46007119125 49687688655 53584762275 56230923375 58145167575 60729397245 73070130375 82812814425 89307937125 96908612625 101215662075 109312915041 112926565125 138021357375 160754286825 168692770125 182188191735 248438443275 267923811375 290725837875 303646986225 414064072125 506078310375 546564575205 803771434125 910940958675 1242192216375 1518234931125 2732822876025 4554704793375 13664114380125
- Sum of all divisors σ(n): 30432917099520
- Sum of proper divisors (its aliquot sum) s(n): 16768802719395
- 13664114380125 is an abundant number, because the sum of its proper divisors (16768802719395) is greater than itself. Its abundance is 3104688339270
Bases of 13664114380125
- Binary: 110001101101011011001010111100001101010111012
- Hexadecimal: 0xC6D6CAF0D5D
- Base-36: 4UD7GWKT9
Squares and roots of 13664114380125
- 13664114380125 squared (136641143801252) is 186708021793138812995015625
- 13664114380125 cubed (136641143801253) is 2551199765468319942705466221511564453125
-
The
square root of 13664114380125 is 3696500.2881272715 -
The
cube root of 13664114380125 is 23907.1145757909
Scales and comparisons
How big is 13664114380125?- 13,664,114,380,125 seconds is equal to 434,476 years, 29 weeks, 4 days, 23 hours, 48 minutes, 45 seconds.
-
To count from 1 to 13,664,114,380,125 would take you about one million, eighty-six thousand, one hundred ninety-one 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 13664114380125 cubic inches would be around 1992.3 feet tall.
Recreational maths with 13664114380125
- 13664114380125 backwards is 52108341146631
- 13664114380125 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13664114380125's digits is 45
- More coming soon!
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