20807527137108600
20,807,527,137,108,600 is an even composite number composed of six prime numbers multiplied together.
20807527137108600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 20807527137108600:
23 × 3 × 52 × 72 × 17 × 41631706957
(2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 17 × 41631706957)See below for interesting mathematical facts about the number 20807527137108600 from the Numbermatics database.
Names of 20807527137108600
- Cardinal: 20807527137108600 can be written as Twenty quadrillion, eight hundred seven trillion, five hundred twenty-seven billion, one hundred thirty-seven million, one hundred eight thousand, six hundred.
Scientific notation
- Scientific notation: 2.08075271371086 × 1016
Factors of 20807527137108600
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 41631706991
Divisors of 20807527137108600
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 25 28 30 34 35 40 42 49 50 51 56 60 68 70 75 84 85 98 100 102 105 119 120 136 140 147 150 168 170 175 196 200 204 210 238 245 255 280 294 300 340 350 357 392 408 420 425 476 490 510 525 588 595 600 680 700 714 735 833 840 850 952 980 1020 1050 1176 1190 1225 1275 1400 1428 1470 1666 1700 1785 1960 2040 2100 2380 2450 2499 2550 2856 2940 2975 3332 3400 3570 3675 4165 4200 4760 4900 4998 5100 5880 5950 6664 7140 7350 8330 8925 9800 9996 10200 11900 12495 14280 14700 16660 17850 19992 20825 23800 24990 29400 33320 35700 41650 49980 62475 71400 83300 99960 124950 166600 249900 499800 41631706957 83263413914 124895120871 166526827828 208158534785 249790241742 291421948699 333053655656 416317069570 499580483484 582843897398 624475604355 707739018269 832634139140 874265846097 999160966968 1040792673925 1165687794796 1248951208710 1415478036538 1457109743495 1665268278280 1748531692194 2039953640893 2081585347850 2123217054807 2331375589592 2497902417420 2830956073076 2914219486990 3122378021775 3497063384388 3538695091345 4079907281786 4163170695700 4246434109614 4371329230485 4954173127883 4995804834840 5661912146152 5828438973980 6119860922679 6244756043550 6994126768776 7077390182690 7285548717475 8159814563572 8326341391400 8492868219228 8742658460970 9908346255766 10199768204465 10616085274035 11656877947960 12239721845358 12489512087100 14154780365380 14571097434950 14862519383649 16319629127144 16985736438456 17485316921940 17693475456725 19816692511532 20399536408930 21232170548070 21856646152425 24479443690716 24770865639415 24979024174200 28309560730760 29142194869900 29725038767298 30599304613395 34679211895181 34970633843880 35386950913450 39633385023064 40799072817860 42464341096140 43713292304850 48958887381432 49541731278830 50998841022325 53080426370175 58284389739800 59450077534596 61198609226790 69358423790362 70773901826900 74312596918245 81598145635720 84928682192280 87426584609700 99083462557660 101997682044650 104037635685543 106160852740350 118900155069192 122397218453580 123854328197075 138716847580724 141547803653800 148625193836490 152996523066975 173396059475905 174853169219400 198166925115320 203995364089300 208075271371086 212321705480700 244794436907160 247708656394150 277433695161448 297250387672980 305993046133950 346792118951810 371562984591225 407990728178600 416150542742172 424643410961400 495417312788300 520188178427715 594500775345960 611986092267900 693584237903620 743125969182450 832301085484344 866980297379525 990834625576600 1040376356855430 1223972184535800 1387168475807240 1486251938364900 1733960594759050 2080752713710860 2600940892138575 2972503876729800 3467921189518100 4161505427421720 5201881784277150 6935842379036200 10403763568554300 20807527137108600
- Sum of all divisors σ(n): 79448284290368880
- Sum of proper divisors (its aliquot sum) s(n): 58640757153260280
- 20807527137108600 is an abundant number, because the sum of its proper divisors (58640757153260280) is greater than itself. Its abundance is 37833230016151680
Bases of 20807527137108600
- Binary: 10010011110110001010101111011111010100101100010011110002
- Hexadecimal: 0x49EC55EFA96278
- Base-36: 5OVNI0705FC
Squares and roots of 20807527137108600
- 20807527137108600 squared (208075271371086002) is 432953185561510811663168193960000
- 20807527137108600 cubed (208075271371086003) is 9008685157668751512352248373364599558384056000000
-
The
square root of 20807527137108600 is 144248144.3107972879 -
The
cube root of 20807527137108600 is 275046.9435546219
Scales and comparisons
How big is 20807527137108600?- 20,807,527,137,108,600 seconds is equal to 661,615,001 years, 2 weeks, 5 days, 4 hours, 50 minutes.
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To count from 1 to 20,807,527,137,108,600 would take you about one billion, nine hundred eighty-four million, eight hundred forty-five thousand and three 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 20807527137108600 cubic inches would be around 22920.6 feet tall.
Recreational maths with 20807527137108600
- 20807527137108600 backwards is 00680173172570802
- The number of decimal digits it has is: 17
- The sum of 20807527137108600's digits is 57
- More coming soon!
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