981985138800120
981,985,138,800,120 is an even composite number composed of eight prime numbers multiplied together.
What does the number 981985138800120 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2880 divisors.
981985138800120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 981985138800120:
23 × 34 × 5 × 7 × 132 × 73 × 972 × 373
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 13 × 73 × 97 × 97 × 373)See below for interesting mathematical facts about the number 981985138800120 from the Numbermatics database.
Names of 981985138800120
- Cardinal: 981985138800120 can be written as Nine hundred eighty-one trillion, nine hundred eighty-five billion, one hundred thirty-eight million, eight hundred thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.8198513880012 × 1014
Factors of 981985138800120
Divisors of 981985138800120
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 26 27 28 30 35 36 39 40 42 45 52 54 56 60 63 65 70 72 73 78 81 84 90 91 97 104 105 108 117 120 126 130 135 140 146 156 162 168 169 180 182 189 194 195 210 216 219 234 252 260 270 273 280 291 292 312 315 324 338 351 360 364 365 373 378 388 390 405 420 438 455 468 485 504 507 511 520 540 546 567 582 584 585 630 648 657 676 679 702 728 730 746 756 776 780 810 819 840 845 873 876 910 936 945 949 970 1014 1022 1053 1080 1092 1095 1119 1134 1164 1170 1183 1260 1261 1314 1352 1358 1365 1404 1455 1460 1492 1512 1521 1533 1560 1620 1638 1690 1746 1752 1755 1820 1865 1890 1898 1940 1971 2028 2037 2044 2106 2184 2190 2238 2268 2328 2340 2366 2457 2520 2522 2535 2555 2611 2619 2628 2716 2730 2808 2835 2847 2910 2920 2984 3042 3066 3240 3276 3285 3357 3380 3395 3492 3510 3549 3640 3730 3780 3783 3796 3880 3942 4056 4074 4088 4095 4212 4365 4380 4476 4536 4563 4599 4680 4732 4745 4849 4914 5044 5070 5110 5222 5238 5256 5265 5432 5460 5595 5670 5694 5820 5913 5915 6084 6111 6132 6305 6552 6570 6643 6714 6760 6790 6984 7020 7081 7098 7371 7460 7560 7566 7592 7605 7665 7833 7857 7884 8148 8190 8424 8541 8730 8760 8827 8952 9126 9198 9409 9464 9490 9698 9828 9855 10071 10088 10140 10185 10220 10444 10476 10530 10647 10920 11190 11340 11349 11388 11640 11826 11830 12168 12222 12264 12285 12337 12610 13055 13095 13140 13286 13428 13580 13689 13797 14040 14162 14196 14235 14547 14742 14920 15132 15210 15330 15666 15714 15768 16296 16380 16393 16785 17082 17460 17654 17745 18252 18333 18396 18818 18915 18980 19396 19656 19710 19929 20142 20280 20370 20440 20888 20952 21060 21243 21294 22380 22680 22698 22776 22815 22995 23499 23652 23660 24245 24444 24570 24674 25220 25623 26110 26190 26280 26481 26572 26856 27160 27229 27378 27594 28227 28324 28392 28470 29094 29484 29565 30213 30264 30420 30555 30660 31332 31428 31941 32760 32786 33215 33570 33943 34047 34164 34920 35308 35405 35490 36181 36504 36666 36792 36855 37011 37636 37830 37960 38792 39165 39285 39420 39858 40284 40740 41391 42120 42486 42588 42705 43641 44135 44760 45396 45630 45990 46998 47045 47304 47320 48490 48888 49140 49179 49348 49567 50355 50440 51246 52220 52380 52962 53144 53235 54458 54756 54999 55188 56454 56648 56745 56940 58188 58968 59130 59787 60426 60840 61110 61320 61685 62664 62856 63037 63729 63882 65572 65863 66430 67140 67886 68094 68328 68445 68985 70497 70616 70810 70980 72362 72735 73332 73710 74022 75272 75660 76869 78330 78570 78840 79443 79716 80568 81480 81687 81965 82782 84681 84972 85176 85410 86359 87282 88270 90792 91260 91665 91980 92053 93996 94090 95823 96980 98280 98358 98696 99134 99645 100710 101829 102141 102492 104440 104760 105924 106215 106470 108543 108916 109512 109998 110376 111033 112908 113490 113880 114751 116376 117495 118260 119574 120852 122220 122317 123370 126074 127458 127764 128115 130923 131144 131726 132405 132860 134280 135772 136145 136188 136890 137970 140994 141135 141620 141960 144724 145470 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4676119708572 5035821224616 5061779065980 5195688565080 5395522740660 5455472993334 5810562951480 5845149635715 6061636659260 6294776530770 6725925608220 7014179562858 7273963991112 7553731836924 7793532847620 8183209490001 8393035374360 9092454988890 9352239417144 9442164796155 10123558131960 10791045481320 10910945986668 11690299271430 12123273318520 12589553061540 13451851216440 13638682483335 14028359125716 15107463673848 15587065695240 16366418980002 17535448907145 18184909977780 18884329592310 21821891973336 23380598542860 24549628470003 25179106123080 27277364966670 28056718251432 32732837960004 35070897814290 36369819955560 37768659184620 40916047450005 46761197085720 49099256940006 54554729933340 65465675920008 70141795628580 75537318369240 81832094900010 98198513880012 109109459866680 122748142350015 140283591257160 163664189800020 196397027760024 245496284700030 327328379600040 490992569400060 981985138800120
- Sum of all divisors σ(n): 4194843590646720
- Sum of proper divisors (its aliquot sum) s(n): 3212858451846600
- 981985138800120 is an abundant number, because the sum of its proper divisors (3212858451846600) is greater than itself. Its abundance is 2230873313046480
Bases of 981985138800120
- Binary: 110111110100011100001110110101111101110101111110002
- Hexadecimal: 0x37D1C3B5F75F8
- Base-36: 9O31QTJBI0
Squares and roots of 981985138800120
- 981985138800120 squared (9819851388001202) is 964294812824290941873312014400
- 981985138800120 cubed (9819851388001203) is 946923175615497075944585945389316396161728000
-
The
square root of 981985138800120 is 31336642.1111152239 -
The
cube root of 981985138800120 is 99395.8621512601
Scales and comparisons
How big is 981985138800120?- 981,985,138,800,120 seconds is equal to 31,224,089 years, 48 weeks, 4 days, 2 hours, 42 minutes.
-
To count from 1 to 981,985,138,800,120 would take you about seventy-eight million, sixty thousand, two hundred twenty-four 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 981985138800120 cubic inches would be around 8283 feet tall.
Recreational maths with 981985138800120
- 981985138800120 backwards is 021008831589189
- 981985138800120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 981985138800120's digits is 63
- More coming soon!
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"Number 981985138800120 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 981985138800120 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/981985138800120/
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Numbermatics. 2024. "Number 981985138800120 - Facts about the integer". https://numbermatics.com/n/981985138800120/
The information we have on file for 981985138800120 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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