85742601251443200
85,742,601,251,443,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 85742601251443200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 480 divisors.
85742601251443200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 85742601251443200:
29 × 33 × 52 × 103 × 2408716549
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 103 × 2408716549)See below for interesting mathematical facts about the number 85742601251443200 from the Numbermatics database.
Names of 85742601251443200
- Cardinal: 85742601251443200 can be written as Eighty-five quadrillion, seven hundred forty-two trillion, six hundred one billion, two hundred fifty-one million, four hundred forty-three thousand, two hundred.
Scientific notation
- Scientific notation: 8.57426012514432 × 1016
Factors of 85742601251443200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 2408716662
Divisors of 85742601251443200
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 103 108 120 128 135 144 150 160 180 192 200 206 216 225 240 256 270 288 300 309 320 360 384 400 412 432 450 480 512 515 540 576 600 618 640 675 720 768 800 824 864 900 927 960 1030 1080 1152 1200 1236 1280 1350 1440 1536 1545 1600 1648 1728 1800 1854 1920 2060 2160 2304 2400 2472 2560 2575 2700 2781 2880 3090 3200 3296 3456 3600 3708 3840 4120 4320 4608 4635 4800 4944 5150 5400 5562 5760 6180 6400 6592 6912 7200 7416 7680 7725 8240 8640 9270 9600 9888 10300 10800 11124 11520 12360 12800 13184 13824 13905 14400 14832 15450 16480 17280 18540 19200 19776 20600 21600 22248 23040 23175 24720 26368 27810 28800 29664 30900 32960 34560 37080 38400 39552 41200 43200 44496 46350 49440 52736 55620 57600 59328 61800 65920 69120 69525 74160 79104 82400 86400 88992 92700 98880 111240 115200 118656 123600 131840 139050 148320 158208 164800 172800 177984 185400 197760 222480 237312 247200 263680 278100 296640 329600 345600 355968 370800 395520 444960 474624 494400 556200 593280 659200 711936 741600 791040 889920 988800 1112400 1186560 1318400 1423872 1483200 1779840 1977600 2224800 2373120 2966400 3559680 3955200 4449600 5932800 7119360 8899200 11865600 17798400 35596800 2408716549 4817433098 7226149647 9634866196 12043582745 14452299294 19269732392 21678448941 24087165490 28904598588 36130748235 38539464784 43356897882 48174330980 57809197176 60217913725 65035346823 72261496470 77078929568 86713795764 96348661960 108392244705 115618394352 120435827450 130070693646 144522992940 154157859136 173427591528 180653741175 192697323920 216784489410 231236788704 240871654900 248097804547 260141387292 289045985880 308315718272 325176734115 346855183056 361307482350 385394647840 433568978820 462473577408 481743309800 496195609094 520282774584 541961223525 578091971760 616631436544 650353468230 693710366112 722614964700 744293413641 770789295680 867137957640 924947154816 963486619600 992391218188 1040565549168 1083922447050 1156183943520 1233262873088 1240489022735 1300706936460 1387420732224 1445229929400 1488586827282 1541578591360 1625883670575 1734275915280 1849894309632 1926973239200 1984782436376 2081131098336 2167844894100 2232880240923 2312367887040 2480978045470 2601413872920 2774841464448 2890459858800 2977173654564 3083157182720 3251767341150 3468551830560 3699788619264 3721467068205 3853946478400 3969564872752 4162262196672 4335689788200 4465760481846 4624735774080 4961956090940 5202827745840 5549682928896 5780919717600 5954347309128 6166314365440 6202445113675 6503534682300 6698640722769 6937103661120 7442934136410 7707892956800 7939129745504 8324524393344 8671379576400 8931520963692 9249471548160 9923912181880 10405655491680 11099365857792 11164401204615 11561839435200 11908694618256 12404890227350 13007069364600 13397281445538 13874207322240 14885868272820 15415785913600 15878259491008 16649048786688 17342759152800 17863041927384 18498943096320 18607335341025 19847824363760 20811310983360 22328802409230 23123678870400 23817389236512 24809780454700 26014138729200 26794562891076 27748414644480 29771736545640 30831571827200 31756518982016 33298097573376 33493203613845 34685518305600 35726083854768 37214670682050 39695648727520 41622621966720 44657604818460 46247357740800 47634778473024 49619560909400 52028277458400 53589125782152 55496829288960 55822006023075 59543473091280 63513037964032 66986407227690 69371036611200 71452167709536 74429341364100 79391297455040 83245243933440 89315209636920 92494715481600 95269556946048 99239121818800 104056554916800 107178251564304 111644012046150 119086946182560 127026075928064 133972814455380 138742073222400 142904335419072 148858682728200 158782594910080 166490487866880 167466018069225 178630419273840 190539113892096 198478243637600 208113109833600 214356503128608 223288024092300 238173892365120 267945628910760 277484146444800 285808670838144 297717365456400 317565189820160 334932036138450 357260838547680 381078227784192 396956487275200 416226219667200 428713006257216 446576048184600 476347784730240 535891257821520 571617341676288 595434730912800 635130379640320 669864072276900 714521677095360 793912974550400 832452439334400 857426012514432 893152096369200 952695569460480 1071782515643040 1143234683352576 1190869461825600 1339728144553800 1429043354190720 1587825949100800 1714852025028864 1786304192738400 1905391138920960 2143565031286080 2381738923651200 2679456289107600 2858086708381440 3175651898201600 3429704050057728 3572608385476800 4287130062572160 4763477847302400 5358912578215200 5716173416762880 7145216770953600 8574260125144320 9526955694604800 10717825156430400 14290433541907200 17148520250288640 21435650312860800 28580867083814400 42871300625721600 85742601251443200
- Sum of all divisors σ(n): 317772532272624000
- Sum of proper divisors (its aliquot sum) s(n): 232029931021180800
- 85742601251443200 is an abundant number, because the sum of its proper divisors (232029931021180800) is greater than itself. Its abundance is 146287329769737600
Bases of 85742601251443200
- Binary: 1001100001001111001110001000010011011010111010010000000002
- Hexadecimal: 0x1309E7109B5D200
- Base-36: NG97R8GQYO0
Squares and roots of 85742601251443200
- 85742601251443200 squared (857426012514432002) is 7351793669363989006750082826240000
- 85742601251443200 cubed (857426012514432003) is 630361913075160959138782019109311076334829568000000
-
The
square root of 85742601251443200 is 292818375.8773400477 -
The
cube root of 85742601251443200 is 440959.6843242027
Scales and comparisons
How big is 85742601251443200?- 85,742,601,251,443,200 seconds is equal to 2,726,349,500 years, 26 weeks, 6 days.
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To count from 1 to 85,742,601,251,443,200 would take you about eight billion, one hundred seventy-nine million, forty-eight thousand, five hundred 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 85742601251443200 cubic inches would be around 36746.6 feet tall.
Recreational maths with 85742601251443200
- 85742601251443200 backwards is 00234415210624758
- 85742601251443200 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 85742601251443200's digits is 54
- More coming soon!
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The information we have on file for 85742601251443200 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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