13820011255125504
13,820,011,255,125,504 is an even composite number composed of six prime numbers multiplied together.
What does the number 13820011255125504 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
13820011255125504 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13820011255125504:
29 × 35 × 112 × 13 × 683 × 103391
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 13 × 683 × 103391)See below for interesting mathematical facts about the number 13820011255125504 from the Numbermatics database.
Names of 13820011255125504
- Cardinal: 13820011255125504 can be written as Thirteen quadrillion, eight hundred twenty trillion, eleven billion, two hundred fifty-five million, one hundred twenty-five thousand, five hundred four.
Scientific notation
- Scientific notation: 1.3820011255125504 × 1016
Factors of 13820011255125504
Divisors of 13820011255125504
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 64 66 72 78 81 88 96 99 104 108 117 121 128 132 143 144 156 162 176 192 198 208 216 234 242 243 256 264 286 288 297 312 324 351 352 363 384 396 416 429 432 468 484 486 512 528 572 576 594 624 648 683 702 704 726 768 792 832 858 864 891 936 968 972 1053 1056 1089 1144 1152 1188 1248 1287 1296 1366 1404 1408 1452 1536 1573 1584 1664 1716 1728 1782 1872 1936 1944 2049 2106 2112 2178 2288 2304 2376 2496 2574 2592 2673 2732 2808 2816 2904 3146 3159 3168 3267 3328 3432 3456 3564 3744 3861 3872 3888 4098 4212 4224 4356 4576 4608 4719 4752 4992 5148 5184 5346 5464 5616 5632 5808 6147 6292 6318 6336 6534 6656 6864 6912 7128 7488 7513 7722 7744 7776 8196 8424 8448 8712 8879 9152 9438 9504 9801 9984 10296 10368 10692 10928 11232 11583 11616 12294 12584 12636 12672 13068 13728 13824 14157 14256 14976 15026 15444 15488 15552 16392 16848 16896 17424 17758 18304 18441 18876 19008 19602 19968 20592 20736 21384 21856 22464 22539 23166 23232 24588 25168 25272 25344 26136 26637 27456 28314 28512 29403 29952 30052 30888 30976 31104 32784 33696 34749 34848 35516 36608 36882 37752 38016 39204 41184 41472 42471 42768 43712 44928 45078 46332 46464 49176 50336 50544 50688 52272 53274 54912 55323 56628 57024 58806 59904 60104 61776 61952 62208 65568 67392 67617 69498 69696 71032 73216 73764 75504 76032 78408 79911 82368 82643 84942 85536 87424 89856 90156 92664 92928 97669 98352 100672 101088 103391 104544 106548 109824 110646 113256 114048 117612 120208 123552 124416 127413 131136 134784 135234 138996 139392 142064 147528 151008 152064 156816 159822 164736 165286 165969 169884 171072 174848 179712 180312 185328 185856 195338 196704 201344 202176 202851 206782 209088 213096 219648 221292 226512 228096 235224 239733 240416 247104 247929 254826 262272 269568 270468 277992 278784 284128 293007 295056 302016 310173 313632 319644 329472 330572 331938 339768 342144 349696 360624 370656 382239 390676 393408 402688 404352 405702 413564 418176 426192 442584 453024 456192 470448 479466 480832 494208 495858 509652 524544 539136 540936 555984 557568 568256 586014 590112 604032 608553 620346 627264 639288 658944 661144 663876 679536 684288 719199 721248 741312 743787 764478 781352 786816 805376 808704 811404 827128 836352 852384 879021 885168 906048 930519 940896 958932 961664 988416 991716 1019304 1049088 1074359 1081872 1111968 1136512 1137301 1172028 1180224 1208064 1217106 1240692 1254528 1278576 1322288 1327752 1344083 1359072 1368576 1438398 1442496 1482624 1487574 1528956 1562704 1573632 1617408 1622808 1654256 1672704 1704768 1758042 1770336 1812096 1825659 1861038 1881792 1917864 1923328 1976832 1983432 2038608 2148718 2157597 2163744 2223936 2231361 2273024 2274602 2344056 2360448 2416128 2434212 2481384 2509056 2557152 2637063 2644576 2655504 2688166 2718144 2791557 2876796 2884992 2965248 2975148 3057912 3125408 3147264 3223077 3245616 3308512 3409536 3411903 3516084 3540672 3624192 3651318 3722076 3763584 3835728 3846656 3966864 4032249 4077216 4297436 4315194 4327488 4447872 4462722 4546048 4549204 4688112 4720896 4868424 4962768 5018112 5114304 5274126 5289152 5311008 5376332 5436288 5583114 5753592 5769984 5930496 5950296 6115824 6250816 6446154 6491232 6617024 6694083 6819072 6823806 7032168 7081344 7248384 7302636 7444152 7527168 7671456 7911189 7933728 8064498 8154432 8374671 8594872 8630388 8654976 8895744 8925444 9098408 9376224 9441792 9669231 9736848 9925536 10228608 10235709 10548252 10578304 10622016 10752664 10872576 11166228 11507184 11539968 11900592 12096747 12231648 12501632 12510311 12892308 12982464 13234048 13388166 13638144 13647612 14064336 14162688 14605272 14784913 14888304 15054336 15342912 15822378 15867456 16128996 16308864 16749342 17189744 17260776 17309952 17791488 17850888 18196816 18752448 19338462 19473696 19851072 20082249 20457216 20471418 21096504 21156608 21244032 21505328 21745152 22332456 23014368 23733567 23801184 24193494 24463296 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5369079741696 5536863483624 5816503053504 5998268773926 6040214709408 6345276058368 6543565935192 6562208573184 6744759031296 7109059287616 7138435565664 7382484644832 7755337404672 7997691698568 8053619612544 8305295225436 8724754580256 8785766850048 8997403160889 9517914087552 9815348902788 9843312859776 10117138546944 10663588931424 10738159483392 11073726967248 11633006107008 11996537547852 12080429418816 12690552116736 13087131870384 13124417146368 14218118575232 14276871131328 14764969289664 15510674809344 15995383397136 16107239225088 16610590450872 17449509160512 17994806321778 19035828175104 19630697805576 19686625719552 20234277093888 21327177862848 22147453934496 23266012214016 23993075095704 24160858837632 26174263740768 26992209482667 28436237150464 28553742262656 29529938579328 31990766794272 32214478450176 33221180901744 34899018321024 35989612643556 38071656350208 39261395611152 39373251439104 42654355725696 44294907868992 46532024428032 47986150191408 48321717675264 52348527481536 53984418965334 56872474300928 57107484525312 59059877158656 63981533588544 66442361803488 69798036642048 71979225287112 78522791222304 85308711451392 88589815737984 95972300382816 96643435350528 104697054963072 107968837930668 114214969050624 118119754317312 127963067177088 132884723606976 139596073284096 143958450574224 157045582444608 170617422902784 177179631475968 191944600765632 209394109926144 215937675861336 255926134354176 265769447213952 287916901148448 314091164889216 354359262951936 383889201531264 418788219852288 431875351722672 511852268708352 531538894427904 575833802296896 628182329778432 767778403062528 863750703445344 1063077788855808 1151667604593792 1256364659556864 1535556806125056 1727501406890688 2303335209187584 3455002813781376 4606670418375168 6910005627562752 13820011255125504
- Sum of all divisors σ(n): 49034272027732992
- Sum of proper divisors (its aliquot sum) s(n): 35214260772607488
- 13820011255125504 is an abundant number, because the sum of its proper divisors (35214260772607488) is greater than itself. Its abundance is 21394249517481984
Bases of 13820011255125504
- Binary: 1100010001100100111010000111011010011101010110000000002
- Hexadecimal: 0x31193A1DA75600
- Base-36: 3S2S9IV6O00
Squares and roots of 13820011255125504
- 13820011255125504 squared (138200112551255042) is 190992711091795608410110791254016
- 13820011255125504 cubed (138200112551255043) is 2639521416935548995600168506965359228695624024064
-
The
square root of 13820011255125504 is 117558543.9477943857 -
The
cube root of 13820011255125504 is 239976.9147652175
Scales and comparisons
How big is 13820011255125504?- 13,820,011,255,125,504 seconds is equal to 439,433,609 years, 42 weeks, 1 day, 8 hours, 38 minutes, 24 seconds.
-
To count from 1 to 13,820,011,255,125,504 would take you about one billion, three hundred eighteen million, three hundred thousand, eight hundred twenty-nine 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 13820011255125504 cubic inches would be around 19998.1 feet tall.
Recreational maths with 13820011255125504
- 13820011255125504 backwards is 40552155211002831
- The number of decimal digits it has is: 17
- The sum of 13820011255125504's digits is 45
- More coming soon!
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"Number 13820011255125504 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
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Numbermatics. (2024). Number 13820011255125504 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/13820011255125504/
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The information we have on file for 13820011255125504 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!
Keywords: Divisors of 13820011255125504, math, Factors of 13820011255125504, curriculum, school, college, exams, university, Prime factorization of 13820011255125504, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred twenty trillion, eleven billion, two hundred fifty-five million, one hundred twenty-five thousand, five hundred four.