137057806525824
137,057,806,525,824 is an even composite number composed of four prime numbers multiplied together.
137057806525824 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 137057806525824:
27 × 36 × 4312 × 7907
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 431 × 431 × 7907)See below for interesting mathematical facts about the number 137057806525824 from the Numbermatics database.
Names of 137057806525824
- Cardinal: 137057806525824 can be written as One hundred thirty-seven trillion, fifty-seven billion, eight hundred six million, five hundred twenty-five thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.37057806525824 × 1014
Factors of 137057806525824
Divisors of 137057806525824
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 431 432 486 576 648 729 862 864 972 1152 1293 1296 1458 1724 1728 1944 2586 2592 2916 3448 3456 3879 3888 5172 5184 5832 6896 7758 7776 7907 10344 10368 11637 11664 13792 15516 15552 15814 20688 23274 23328 23721 27584 31032 31104 31628 34911 41376 46548 46656 47442 55168 62064 63256 69822 71163 82752 93096 93312 94884 104733 124128 126512 139644 142326 165504 185761 186192 189768 209466 213489 248256 253024 279288 284652 314199 371522 372384 379536 418932 426978 496512 506048 557283 558576 569304 628398 640467 743044 744768 759072 837864 853956 1012096 1114566 1117152 1138608 1256796 1280934 1486088 1489536 1518144 1671849 1675728 1707912 1921401 2229132 2234304 2277216 2513592 2561868 2972176 3036288 3343698 3351456 3407917 3415824 3842802 4458264 4468608 4554432 5015547 5027184 5123736 5764203 5944352 6687396 6702912 6815834 6831648 7685604 8916528 9108864 10031094 10054368 10223751 10247472 11528406 11888704 13374792 13405824 13631668 13663296 15046641 15371208 17833056 20062188 20108736 20447502 20494944 23056812 23777408 26749584 27263336 27326592 30093282 30671253 30742416 35666112 40124376 40217472 40895004 40989888 45139923 46113624 53499168 54526672 60186564 61342506 61484832 71332224 80248752 81790008 81979776 90279846 92013759 92227248 106998336 109053344 120373128 122685012 122969664 135419769 160497504 163580016 180559692 184027518 184454496 213996672 218106688 240746256 245370024 245939328 270839538 276041277 320995008 327160032 361119384 368055036 368908992 436213376 481492512 490740048 541679076 552082554 641990016 654320064 722238768 736110072 737817984 828123831 962985024 981480096 1083358152 1104165108 1308640128 1444477536 1468812227 1472220144 1656247662 1925970048 1962960192 2166716304 2208330216 2484371493 2888955072 2937624454 2944440288 3312495324 3925920384 4333432608 4406436681 4416660432 4968742986 5777910144 5875248908 5888880576 6624990648 8666865216 8812873362 8833320864 9937485972 11750497816 11777761152 13219310043 13249981296 17333730432 17625746724 17666641728 19874971944 23500995632 26438620086 26499962592 35251493448 35333283456 39657930129 39749943888 47001991264 52877240172 52999925184 70502986896 79315860258 79499887776 94003982528 105754480344 105999850368 118973790387 141005973792 158631720516 158999775552 188007965056 211508960688 237947580774 282011947584 317263441032 317999551104 356921371161 423017921376 475895161548 564023895168 634526882064 713842742322 846035842752 951790323096 1070764113483 1269053764128 1427685484644 1692071685504 1903580646192 2141528226966 2538107528256 2855370969288 3807161292384 4283056453932 5076215056512 5710741938576 7614322584768 8566112907864 11421483877152 15228645169536 17132225815728 22842967754304 34264451631456 45685935508608 68528903262912 137057806525824
- Sum of all divisors σ(n): 410383936016460
- Sum of proper divisors (its aliquot sum) s(n): 273326129490636
- 137057806525824 is an abundant number, because the sum of its proper divisors (273326129490636) is greater than itself. Its abundance is 136268322964812
Bases of 137057806525824
- Binary: 111110010100111010000011101111100100101100000002
- Hexadecimal: 0x7CA741DF2580
- Base-36: 1CKZHJA000
Squares and roots of 137057806525824
- 137057806525824 squared (1370578065258242) is 18784842329670203840778878976
- 137057806525824 cubed (1370578065258243) is 2574609285638047775146431747963799914676224
-
The
square root of 137057806525824 is 11707169.0226896443 -
The
cube root of 137057806525824 is 51558.6169567365
Scales and comparisons
How big is 137057806525824?- 137,057,806,525,824 seconds is equal to 4,358,014 years, 15 weeks, 4 days, 3 hours, 50 minutes, 24 seconds.
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To count from 1 to 137,057,806,525,824 would take you about ten million, eight hundred ninety-five thousand and thirty-five 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 137057806525824 cubic inches would be around 4296.6 feet tall.
Recreational maths with 137057806525824
- 137057806525824 backwards is 428525608750731
- The number of decimal digits it has is: 15
- The sum of 137057806525824's digits is 63
- More coming soon!
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