980728628428800
980,728,628,428,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 980728628428800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2430 divisors.
980728628428800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 980728628428800:
214 × 35 × 52 × 432 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 43 × 43 × 73 × 73)See below for interesting mathematical facts about the number 980728628428800 from the Numbermatics database.
Names of 980728628428800
- Cardinal: 980728628428800 can be written as Nine hundred eighty trillion, seven hundred twenty-eight billion, six hundred twenty-eight million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 9.807286284288 × 1014
Factors of 980728628428800
Divisors of 980728628428800
- Number of divisors d(n): 2430
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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 43 45 48 50 54 60 64 72 73 75 80 81 86 90 96 100 108 120 128 129 135 144 146 150 160 162 172 180 192 200 215 216 219 225 240 243 256 258 270 288 292 300 320 324 344 360 365 384 387 400 405 430 432 438 450 480 486 512 516 540 576 584 600 640 645 648 657 675 688 720 730 768 774 800 810 860 864 876 900 960 972 1024 1032 1075 1080 1095 1152 1161 1168 1200 1215 1280 1290 1296 1314 1350 1376 1440 1460 1536 1548 1600 1620 1720 1728 1752 1800 1825 1849 1920 1935 1944 1971 2025 2048 2064 2150 2160 2190 2304 2322 2336 2400 2430 2560 2580 2592 2628 2700 2752 2880 2920 3072 3096 3139 3200 3225 3240 3285 3440 3456 3483 3504 3600 3650 3698 3840 3870 3888 3942 4050 4096 4128 4300 4320 4380 4608 4644 4672 4800 4860 5120 5160 5184 5256 5329 5400 5475 5504 5547 5760 5805 5840 5913 6075 6144 6192 6278 6400 6450 6480 6570 6880 6912 6966 7008 7200 7300 7396 7680 7740 7776 7884 8100 8192 8256 8600 8640 8760 9216 9245 9288 9344 9417 9600 9675 9720 9855 10240 10320 10368 10449 10512 10658 10800 10950 11008 11094 11520 11610 11680 11826 12150 12288 12384 12556 12800 12900 12960 13140 13760 13824 13932 14016 14400 14600 14792 15360 15480 15552 15695 15768 15987 16200 16384 16425 16512 16641 17200 17280 17415 17520 17739 18432 18490 18576 18688 18834 19200 19350 19440 19710 20480 20640 20736 20898 21024 21316 21600 21900 22016 22188 23040 23220 23360 23652 24300 24576 24768 25112 25600 25800 25920 26280 26645 27520 27648 27735 27864 28032 28251 28800 29025 29200 29565 29584 30720 30960 31104 31390 31536 31974 32400 32850 33024 33282 34400 34560 34830 35040 35478 36864 36980 37152 37376 37668 38400 38700 38880 39420 40960 41280 41472 41796 42048 42632 43200 43800 44032 44376 46080 46225 46440 46720 47085 47304 47961 48600 49152 49275 49536 49923 50224 51200 51600 51840 52245 52560 53290 55040 55296 55470 55728 56064 56502 57600 58050 58400 59130 59168 61440 61920 62208 62780 63072 63948 64800 65700 66048 66564 68800 69120 69660 70080 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497579212800 504490035200 506836500480 510796160640 530410291200 537385549824 544849238016 559776614400 567551289600 570191063040 605388042240 612955392768 633545625600 638495200800 671731937280 681061547520 712738828800 726465650688 746368819200 756735052800 760254750720 766194240960 807184056320 817273857024 839664921600 844727500800 851326934400 895642583040 908082063360 912305700864 950318438400 957742801200 1008980070400 1021592321280 1089698476032 1119553228800 1135102579200 1140382126080 1210776084480 1225910785536 1267091251200 1276990401600 1343463874560 1362123095040 1425477657600 1452931301376 1492737638400 1513470105600 1520509501440 1532388481920 1634547714048 1679329843200 1702653868800 1816164126720 1900636876800 1915485602400 2017960140800 2043184642560 2179396952064 2239106457600 2270205158400 2280764252160 2421552168960 2451821571072 2534182502400 2553980803200 2686927749120 2724246190080 2850955315200 3026940211200 3064776963840 3269095428096 3358659686400 3405307737600 3632328253440 3801273753600 3830971204800 4035920281600 4086369285120 4358793904128 4478212915200 4540410316800 4561528504320 4903643142144 5107961606400 5448492380160 5701910630400 6053880422400 6129553927680 6538190856192 6717319372800 6810615475200 7264656506880 7602547507200 7661942409600 8172738570240 9080820633600 9807286284288 10215923212800 10896984760320 11403821260800 12107760844800 12259107855360 13076381712384 13434638745600 13621230950400 15323884819200 16345477140480 18161641267200 19614572568576 20431846425600 21793969520640 22807642521600 24518215710720 27242461900800 30647769638400 32690954280960 36323282534400 39229145137152 40863692851200 49036431421440 54484923801600 61295539276800 65381908561920 81727385702400 98072862842880 108969847603200 122591078553600 163454771404800 196145725685760 245182157107200 326909542809600 490364314214400 980728628428800
- Sum of all divisors σ(n): 3781684905901812
- Sum of proper divisors (its aliquot sum) s(n): 2800956277473012
- 980728628428800 is an abundant number, because the sum of its proper divisors (2800956277473012) is greater than itself. Its abundance is 1820227649044212
Bases of 980728628428800
- Binary: 110111101111110111101011011000010011000000000000002
- Hexadecimal: 0x37BF7AD84C000
- Base-36: 9NN0IFPC00
Squares and roots of 980728628428800
- 980728628428800 squared (9807286284288002) is 961828642619835255556669440000
- 980728628428800 cubed (9807286284288003) is 943292885460085477723507153723428175872000000
-
The
square root of 980728628428800 is 31316587.1133621455 -
The
cube root of 980728628428800 is 99353.4496837013
Scales and comparisons
How big is 980728628428800?- 980,728,628,428,800 seconds is equal to 31,184,136 years, 41 weeks, 1 day.
-
To count from 1 to 980,728,628,428,800 would take you about seventy-seven million, nine hundred sixty thousand, three hundred forty-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 980728628428800 cubic inches would be around 8279.5 feet tall.
Recreational maths with 980728628428800
- 980728628428800 backwards is 008824826827089
- 980728628428800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 980728628428800's digits is 72
- More coming soon!
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"Number 980728628428800 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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Numbermatics. (2024). Number 980728628428800 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/980728628428800/
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The information we have on file for 980728628428800 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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