137093242537125000
137,093,242,537,125,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137093242537125000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1568 divisors.
137093242537125000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred sixty-eight divisors.
Prime factorization of 137093242537125000:
23 × 36 × 56 × 7 × 5993
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 599 × 599 × 599)See below for interesting mathematical facts about the number 137093242537125000 from the Numbermatics database.
Names of 137093242537125000
- Cardinal: 137093242537125000 can be written as One hundred thirty-seven quadrillion, ninety-three trillion, two hundred forty-two billion, five hundred thirty-seven million, one hundred twenty-five thousand.
Scientific notation
- Scientific notation: 1.37093242537125 × 1017
Factors of 137093242537125000
Divisors of 137093242537125000
- Number of divisors d(n): 1568
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 27 28 30 35 36 40 42 45 50 54 56 60 63 70 72 75 81 84 90 100 105 108 120 125 126 135 140 150 162 168 175 180 189 200 210 216 225 243 250 252 270 280 300 315 324 350 360 375 378 405 420 450 486 500 504 525 540 567 599 600 625 630 648 675 700 729 750 756 810 840 875 900 945 972 1000 1050 1080 1125 1134 1198 1215 1250 1260 1350 1400 1458 1500 1512 1575 1620 1701 1750 1797 1800 1875 1890 1944 2025 2100 2250 2268 2396 2430 2500 2520 2625 2700 2835 2916 2995 3000 3125 3150 3240 3375 3402 3500 3594 3645 3750 3780 4050 4193 4200 4375 4500 4536 4725 4792 4860 5000 5103 5250 5391 5400 5625 5670 5832 5990 6075 6250 6300 6750 6804 7000 7188 7290 7500 7560 7875 8100 8386 8505 8750 8985 9000 9375 9450 9720 10125 10206 10500 10782 11250 11340 11980 12150 12500 12579 12600 13125 13500 13608 14175 14376 14580 14975 15000 15625 15750 16173 16200 16772 16875 17010 17500 17970 18225 18750 18900 20250 20412 20965 21000 21564 21875 22500 22680 23625 23960 24300 25000 25158 25515 26250 26955 27000 28125 28350 29160 29950 30375 31250 31500 32346 33544 33750 34020 35000 35940 36450 37500 37737 37800 39375 40500 40824 41930 42525 43128 43750 44925 45000 46875 47250 48519 48600 50316 50625 51030 52500 53910 56250 56700 59900 60750 62500 62895 63000 64692 65625 67500 68040 70875 71880 72900 74875 75000 75474 78750 80865 81000 83860 84375 85050 87500 89850 91125 93750 94500 97038 100632 101250 102060 104825 105000 107820 109375 112500 113211 113400 118125 119800 121500 125000 125790 127575 129384 131250 134775 135000 140625 141750 145557 145800 149750 150948 151875 157500 161730 167720 168750 170100 175000 179700 182250 187500 188685 189000 194076 196875 202500 204120 209650 212625 215640 218750 224625 225000 226422 236250 242595 243000 251580 253125 255150 262500 269550 281250 283500 291114 299500 301896 303750 314475 315000 323460 328125 337500 339633 340200 354375 358801 359400 364500 374375 375000 377370 388152 393750 404325 405000 419300 421875 425250 436671 437500 449250 452844 455625 472500 485190 503160 506250 510300 524125 525000 539100 562500 566055 567000 582228 590625 599000 607500 628950 637875 646920 656250 673875 675000 679266 708750 717602 727785 729000 748750 754740 759375 787500 808650 838600 843750 850500 873342 875000 898500 905688 911250 943425 945000 970380 984375 1012500 1018899 1020600 1048250 1063125 1076403 1078200 1123125 1125000 1132110 1164456 1181250 1212975 1215000 1257900 1265625 1275750 1312500 1347750 1358532 1417500 1435204 1455570 1497500 1509480 1518750 1572375 1575000 1617300 1687500 1698165 1701000 1746684 1771875 1794005 1797000 1822500 1871875 1886850 1940760 1968750 2021625 2025000 2037798 2096500 2126250 2152806 2183355 2246250 2264220 2278125 2362500 2425950 2511607 2515800 2531250 2551500 2620625 2625000 2695500 2717064 2830275 2835000 2870408 2911140 2953125 2995000 3037500 3056697 3144750 3189375 3229209 3234600 3369375 3375000 3396330 3493368 3543750 3588010 3638925 3645000 3743750 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3133559829420 3178752609375 3223826985000 3269574112500 3358153109375 3385018334250 3481733143800 3626805358125 3632860125000 3655819800990 3761131482500 3814503131250 3916949786775 4029783731250 4062022001100 4086967640625 4238336812500 4352166429750 4386983761188 4513357779000 4577403757500 4701414353125 4835740477500 4874426401320 5077527501375 5086004175000 5222599715700 5373044975000 5449290187500 5483729701485 5641697223750 5721754696875 5802888573000 6044675596875 6093033001650 6267119658840 6357505218750 6528249644625 6539148225000 6716306218750 6770036668500 7253610716250 7311639601980 7522262965000 7629006262500 7833899573550 8059567462500 8124044002200 8173935281250 8462545835625 8476673625000 8704332859500 8773967522376 9139549502475 9154807515000 9402828706250 9536257828125 9671480955000 10074459328125 10155055002750 10445199431400 10880416074375 10898580375000 10967459402970 11283394447500 11443509393750 12089351193750 12186066003300 12715010437500 13056499289250 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73116396019800 76162912520625 76290062625000 78338995735500 80595674625000 84625458356250 87043328595000 90670133953125 91395495024750 94028287062500 97923744669375 101550550027500 108804160743750 109674594029700 112833944475000 114435093937500 120893511937500 121860660033000 126938187534375 130564992892500 137093242537125 141042430593750 145072214325000 152325825041250 156677991471000 163206241115625 169250916712500 181340267906250 182790990049500 188056574125000 195847489338750 203101100055000 211563645890625 217608321487500 219349188059400 228488737561875 228870187875000 241787023875000 253876375068750 261129985785000 272010401859375 274186485074250 282084861187500 304651650082500 326412482231250 338501833425000 362680535812500 365581980099000 380814562603125 391694978677500 423127291781250 435216642975000 456977475123750 489618723346875 507752750137500 544020803718750 548372970148500 564169722375000 609303300165000 634690937671875 652824964462500 685466212685625 725361071625000 761629125206250 783389957355000 816031205578125 846254583562500 913954950247500 979237446693750 1015505500275000 1088041607437500 1096745940297000 1142443687809375 1269381875343750 1305649928925000 1370932425371250 1523258250412500 1632062411156250 1692509167125000 1827909900495000 1904072813015625 1958474893387500 2176083214875000 2284887375618750 2448093616734375 2538763750687500 2741864850742500 3046516500825000 3264124822312500 3427331063428125 3808145626031250 3916949786775000 4569774751237500 4896187233468750 5077527501375000 5483729701485000 5712218439046875 6528249644625000 6854662126856250 7616291252062500 9139549502475000 9792374466937500 11424436878093750 13709324253712500 15232582504125000 17136655317140625 19584748933875000 22848873756187500 27418648507425000 34273310634281250 45697747512375000 68546621268562500 137093242537125000
- Sum of all divisors σ(n): 551482827491952000
- Sum of proper divisors (its aliquot sum) s(n): 414389584954827000
- 137093242537125000 is an abundant number, because the sum of its proper divisors (414389584954827000) is greater than itself. Its abundance is 277296342417702000
Bases of 137093242537125000
- Binary: 1111001110000110110010011111001101000100000100100100010002
- Hexadecimal: 0x1E70D93E6882488
- Base-36: 11HVHY6BZ4I0
Squares and roots of 137093242537125000
- 137093242537125000 squared (1370932425371250002) is 18794557149342979507003265625000000
- 137093242537125000 cubed (1370932425371250003) is 2576606781652733739395487256817535298828125000000000
-
The
square root of 137093242537125000 is 370261046.4754900463 -
The
cube root of 137093242537125000 is 515630.6003162975
Scales and comparisons
How big is 137093242537125000?- 137,093,242,537,125,000 seconds is equal to 4,359,141,055 years, 22 weeks, 5 days, 16 hours, 30 minutes.
-
To count from 1 to 137,093,242,537,125,000 would take you about thirteen billion, seventy-seven million, four hundred twenty-three thousand, one hundred sixty-six 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 137093242537125000 cubic inches would be around 42969.2 feet tall.
Recreational maths with 137093242537125000
- 137093242537125000 backwards is 000521735242390731
- 137093242537125000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137093242537125000's digits is 54
- More coming soon!
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"Number 137093242537125000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 137093242537125000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/137093242537125000/
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The information we have on file for 137093242537125000 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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