90142790400
90,142,790,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 90142790400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 324 divisors.
90142790400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 90142790400:
28 × 32 × 52 × 13 × 120383
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 120383)See below for interesting mathematical facts about the number 90142790400 from the Numbermatics database.
Names of 90142790400
- Cardinal: 90142790400 can be written as Ninety billion, one hundred forty-two million, seven hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 9.01427904 × 1010
Factors of 90142790400
Divisors of 90142790400
- Number of divisors d(n): 324
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 128 130 144 150 156 160 180 192 195 200 208 225 234 240 256 260 288 300 312 320 325 360 384 390 400 416 450 468 480 520 576 585 600 624 640 650 720 768 780 800 832 900 936 960 975 1040 1152 1170 1200 1248 1280 1300 1440 1560 1600 1664 1800 1872 1920 1950 2080 2304 2340 2400 2496 2600 2880 2925 3120 3200 3328 3600 3744 3840 3900 4160 4680 4800 4992 5200 5760 5850 6240 6400 7200 7488 7800 8320 9360 9600 9984 10400 11520 11700 12480 14400 14976 15600 16640 18720 19200 20800 23400 24960 28800 29952 31200 37440 41600 46800 49920 57600 62400 74880 83200 93600 120383 124800 149760 187200 240766 249600 361149 374400 481532 601915 722298 748800 963064 1083447 1203830 1444596 1564979 1805745 1926128 2166894 2407660 2889192 3009575 3129958 3611490 3852256 4333788 4694937 4815320 5417235 5778384 6019150 6259916 7222980 7704512 7824895 8667576 9028725 9389874 9630640 10834470 11556768 12038300 12519832 14084811 14445960 15409024 15649790 17335152 18057450 18779748 19261280 21668940 23113536 23474685 24076600 25039664 27086175 28169622 28891920 30818048 31299580 34670304 36114900 37559496 38522560 39124475 43337880 46227072 46949370 48153200 50079328 54172350 56339244 57783840 62599160 69340608 70424055 72229800 75118992 77045120 78248950 86675760 92454144 93898740 96306400 100158656 108344700 112678488 115567680 117373425 125198320 138681216 140848110 144459600 150237984 154090240 156497900 173351520 187797480 192612800 200317312 216689400 225356976 231135360 234746850 250396640 277362432 281696220 288919200 300475968 312995800 346703040 352120275 375594960 385225600 400634624 433378800 450713952 462270720 469493700 500793280 563392440 577838400 600951936 625991600 693406080 704240550 751189920 770451200 866757600 901427904 938987400 1001586560 1126784880 1155676800 1201903872 1251983200 1386812160 1408481100 1502379840 1733515200 1802855808 1877974800 2003173120 2253569760 2311353600 2503966400 2816962200 3004759680 3467030400 3605711616 3755949600 4507139520 5007932800 5633924400 6009519360 6934060800 7511899200 9014279040 10015865600 11267848800 15023798400 18028558080 22535697600 30047596800 45071395200 90142790400
- Sum of all divisors σ(n): 347074535808
- Sum of proper divisors (its aliquot sum) s(n): 256931745408
- 90142790400 is an abundant number, because the sum of its proper divisors (256931745408) is greater than itself. Its abundance is 166788955008
Bases of 90142790400
- Binary: 10100111111001110110111010011000000002
- Hexadecimal: 0x14FCEDD300
- Base-36: 15ESOU80
Squares and roots of 90142790400
- 90142790400 squared (901427904002) is 8125722661098332160000
- 90142790400 cubed (901427904003) is 732475314687917189688459264000000
-
The
square root of 90142790400 is 300237.8896808333 -
The
cube root of 90142790400 is 4483.7735001135
Scales and comparisons
How big is 90142790400?- 90,142,790,400 seconds is equal to 2,866 years, 13 weeks, 4 days, 8 hours.
-
To count from 1 to 90,142,790,400 would take you about five thousand, seven hundred thirty-two 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 90142790400 cubic inches would be around 373.6 feet tall.
Recreational maths with 90142790400
- 90142790400 backwards is 00409724109
- 90142790400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 90142790400's digits is 36
- More coming soon!
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