13825081201800
13,825,081,201,800 is an even composite number composed of seven prime numbers multiplied together.
13825081201800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 13825081201800:
23 × 3 × 52 × 11 × 59 × 701 × 50647
(2 × 2 × 2 × 3 × 5 × 5 × 11 × 59 × 701 × 50647)See below for interesting mathematical facts about the number 13825081201800 from the Numbermatics database.
Names of 13825081201800
- Cardinal: 13825081201800 can be written as Thirteen trillion, eight hundred twenty-five billion, eighty-one million, two hundred one thousand, eight hundred.
Scientific notation
- Scientific notation: 1.38250812018 × 1013
Factors of 13825081201800
Divisors of 13825081201800
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 59 60 66 75 88 100 110 118 120 132 150 165 177 200 220 236 264 275 295 300 330 354 440 472 550 590 600 649 660 701 708 825 885 1100 1180 1298 1320 1402 1416 1475 1650 1770 1947 2103 2200 2360 2596 2804 2950 3245 3300 3505 3540 3894 4206 4425 5192 5608 5900 6490 6600 7010 7080 7711 7788 8412 8850 9735 10515 11800 12980 14020 15422 15576 16225 16824 17525 17700 19470 21030 23133 25960 28040 30844 32450 35050 35400 38555 38940 41359 42060 46266 48675 50647 52575 61688 64900 70100 77110 77880 82718 84120 92532 97350 101294 105150 115665 124077 129800 140200 151941 154220 165436 185064 192775 194700 202588 206795 210300 231330 248154 253235 303882 308440 330872 385550 389400 405176 413590 420600 454949 462660 496308 506470 557117 578325 607764 620385 759705 771100 827180 909898 925320 992616 1012940 1033975 1114234 1156650 1215528 1240770 1266175 1364847 1519410 1542200 1654360 1671351 1819796 2025880 2067950 2228468 2274745 2313300 2481540 2532350 2729694 2785585 2988173 3038820 3101925 3342702 3639592 3798525 4135900 4456936 4549490 4626600 4963080 5064700 5459388 5571170 5976346 6077640 6203850 6685404 6824235 7597050 8271800 8356755 8964519 9098980 10129400 10918776 11142340 11373725 11952692 12407700 13370808 13648470 13927925 14940865 15194100 16713510 17929038 18197960 22284680 22747450 23905384 24815400 27296940 27855850 29881730 30388200 32869903 33427020 34121175 35503547 35858076 41783775 44822595 45494900 54593880 55711700 59763460 65739806 66854040 68242350 71007094 71716152 74704325 83567550 89645190 90989800 98609709 106510641 111423400 119526920 131479612 136484700 142014188 149408650 164349515 167135100 177517735 179290380 197219418 213021282 224112975 262959224 272969400 284028376 298817300 328699030 334270200 355035470 358580760 390539017 394438836 426042564 448225950 493048545 532553205 597634600 657398060 710070940 781078034 788877672 821747575 852085128 887588675 896451900 986097090 1065106410 1171617051 1314796120 1420141880 1562156068 1643495150 1775177350 1792903800 1952695085 1972194180 2094709273 2130212820 2343234102 2465242725 2662766025 3124312136 3286990300 3550354700 3905390170 3944388360 4189418546 4260425640 4686468204 4930485450 5325532050 5858085255 6284127819 6573980600 7100709400 7810780340 8378837092 9372936408 9763475425 9860970900 10473546365 10651064100 11716170510 12568255638 15621560680 16757674184 19526950850 19721941800 20947092730 21302128200 23041802003 23432341020 25136511276 29290426275 31420639095 39053901700 41894185460 46083604006 46864682040 50273022552 52367731825 58580852550 62841278190 69125406009 78107803400 83788370920 92167208012 104735463650 115209010015 117161705100 125682556380 138250812018 157103195475 184334416024 209470927300 230418020030 234323410200 251365112760 276501624036 314206390950 345627030045 418941854600 460836040060 553003248072 576045050075 628412781900 691254060090 921672080120 1152090100150 1256825563800 1382508120180 1728135150225 2304180200300 2765016240360 3456270300450 4608360400600 6912540600900 13825081201800
- Sum of all divisors σ(n): 47615116723200
- Sum of proper divisors (its aliquot sum) s(n): 33790035521400
- 13825081201800 is an abundant number, because the sum of its proper divisors (33790035521400) is greater than itself. Its abundance is 19964954319600
Bases of 13825081201800
- Binary: 110010010010111001110000110111010100100010002
- Hexadecimal: 0xC92E70DD488
- Base-36: 4WF5KE7BC
Squares and roots of 13825081201800
- 13825081201800 squared (138250812018002) is 191132870236363732323240000
- 13825081201800 cubed (138250812018003) is 2642427451350830958529312365269832000000
-
The
square root of 13825081201800 is 3718209.4080081073 -
The
cube root of 13825081201800 is 24000.6256791745
Scales and comparisons
How big is 13825081201800?- 13,825,081,201,800 seconds is equal to 439,594 years, 42 weeks, 3 days, 21 hours, 50 minutes.
-
To count from 1 to 13,825,081,201,800 would take you about one million, ninety-eight thousand, nine hundred eighty-seven 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 13825081201800 cubic inches would be around 2000.1 feet tall.
Recreational maths with 13825081201800
- 13825081201800 backwards is 00810218052831
- The number of decimal digits it has is: 14
- The sum of 13825081201800's digits is 39
- More coming soon!
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