131138042175
131,138,042,175 is an odd composite number composed of five prime numbers multiplied together.
What does the number 131138042175 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
131138042175 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 131138042175:
37 × 52 × 72 × 31 × 1579
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 31 × 1579)See below for interesting mathematical facts about the number 131138042175 from the Numbermatics database.
Names of 131138042175
- Cardinal: 131138042175 can be written as One hundred thirty-one billion, one hundred thirty-eight million, forty-two thousand, one hundred seventy-five.
Scientific notation
- Scientific notation: 1.31138042175 × 1011
Factors of 131138042175
Divisors of 131138042175
- Number of divisors d(n): 288
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Complete list of divisors:
1 3 5 7 9 15 21 25 27 31 35 45 49 63 75 81 93 105 135 147 155 175 189 217 225 243 245 279 315 405 441 465 525 567 651 675 729 735 775 837 945 1085 1215 1225 1323 1395 1519 1575 1579 1701 1953 2025 2187 2205 2325 2511 2835 3255 3645 3675 3969 4185 4557 4725 4737 5103 5425 5859 6075 6615 6975 7533 7595 7895 8505 9765 10935 11025 11053 11907 12555 13671 14175 14211 15309 16275 17577 18225 19845 20925 22599 22785 23685 25515 29295 33075 33159 35721 37665 37975 39475 41013 42525 42633 48825 48949 52731 54675 55265 59535 62775 67797 68355 71055 76545 77371 87885 99225 99477 107163 112995 113925 118425 123039 127575 127899 146475 146847 158193 165795 178605 188325 205065 213165 232113 244745 263655 276325 297675 298431 338985 341775 342643 355275 369117 382725 383697 386855 439425 440541 474579 497385 535815 564975 615195 639495 696339 734235 790965 828975 893025 895293 1025325 1027929 1065825 1107351 1151091 1160565 1223725 1318275 1321623 1492155 1694925 1713215 1845585 1918485 1934275 2089017 2202705 2372895 2398501 2486925 2679075 2685879 3075975 3083787 3197475 3322053 3453273 3481695 3671175 3954825 3964869 4476465 5139645 5536755 5755455 5802825 6267051 6608115 7195503 7460775 8057637 8566075 9227925 9251361 9592425 10445085 11013525 11864475 11894607 11992505 13429395 15418935 16610265 17266365 17408475 18801153 19824345 21586509 22382325 24172911 25698225 27683775 27754083 28777275 31335255 33040575 35683821 35977515 40288185 46256805 52225425 56403459 59473035 59962525 64759527 67146975 77094675 83051325 83262249 86331825 94005765 99121725 107051463 107932545 120864555 138770415 156676275 169210377 178419105 179887575 194278581 201440925 231284025 249786747 282017295 297365175 323797635 416311245 470028825 535257315 539662725 582835743 604322775 693852075 749360241 846051885 892095525 971392905 1248933735 1410086475 1618988175 1748507229 2081556225 2676286575 2914178715 3746801205 4230259425 4856964525 5245521687 6244668675 8742536145 14570893575 18734006025 26227608435 43712680725 131138042175
- Sum of all divisors σ(n): 293033625600
- Sum of proper divisors (its aliquot sum) s(n): 161895583425
- 131138042175 is an abundant number, because the sum of its proper divisors (161895583425) is greater than itself. Its abundance is 30757541250
Bases of 131138042175
- Binary: 11110100010000110111110111001001111112
- Hexadecimal: 0x1E886FB93F
- Base-36: 1O8S7CXR
Squares and roots of 131138042175
- 131138042175 squared (1311380421752) is 17197186105492078730625
- 131138042175 cubed (1311380421753) is 2255205316793344219705121714109375
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The
square root of 131138042175 is 362129.8692113093 -
The
cube root of 131138042175 is 5080.5363758643
Scales and comparisons
How big is 131138042175?- 131,138,042,175 seconds is equal to 4,169 years, 40 weeks, 5 days, 9 hours, 56 minutes, 15 seconds.
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To count from 1 to 131,138,042,175 would take you about eight thousand, three hundred thirty-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 131138042175 cubic inches would be around 423.4 feet tall.
Recreational maths with 131138042175
- 131138042175 backwards is 571240831131
- The number of decimal digits it has is: 12
- The sum of 131138042175's digits is 36
- More coming soon!
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