220138261501383120
220,138,261,501,383,120 is an even composite number composed of six prime numbers multiplied together.
220138261501383120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 220138261501383120:
24 × 3 × 5 × 76 × 177 × 19
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 17 × 17 × 17 × 17 × 17 × 17 × 17 × 19)See below for interesting mathematical facts about the number 220138261501383120 from the Numbermatics database.
Names of 220138261501383120
- Cardinal: 220138261501383120 can be written as Two hundred twenty quadrillion, one hundred thirty-eight trillion, two hundred sixty-one billion, five hundred one million, three hundred eighty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.2013826150138312 × 1017
Factors of 220138261501383120
Divisors of 220138261501383120
- Number of divisors d(n): 2240
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 19 20 21 24 28 30 34 35 38 40 42 48 49 51 56 57 60 68 70 76 80 84 85 95 98 102 105 112 114 119 120 133 136 140 147 152 168 170 190 196 204 210 228 238 240 245 255 266 272 280 285 289 294 304 323 336 340 343 357 380 392 399 408 420 456 476 490 510 532 560 570 578 588 595 646 665 680 686 714 735 760 784 798 816 833 840 867 912 931 952 969 980 1020 1029 1064 1140 1156 1176 1190 1292 1330 1360 1372 1428 1445 1470 1520 1596 1615 1666 1680 1715 1734 1785 1862 1904 1938 1960 1995 2023 2040 2058 2128 2261 2280 2312 2352 2380 2401 2499 2584 2660 2744 2793 2856 2890 2940 3192 3230 3332 3430 3468 3570 3724 3876 3920 3990 4046 4080 4116 4165 4335 4522 4560 4624 4655 4760 4802 4845 4913 4998 5145 5168 5320 5488 5491 5586 5712 5780 5831 5880 6069 6384 6460 6517 6664 6783 6860 6936 7140 7203 7448 7752 7980 8092 8232 8330 8670 9044 9310 9520 9604 9690 9826 9996 10115 10290 10640 10982 11172 11305 11560 11662 11760 12005 12138 12495 12920 13034 13328 13566 13720 13872 13965 14161 14280 14406 14739 14896 15504 15827 15960 16184 16464 16473 16660 16807 17340 17493 18088 18620 19208 19380 19551 19652 19992 20230 20580 21964 22344 22610 23120 23324 24010 24276 24565 24990 25840 26068 27132 27440 27455 27930 28322 28560 28812 29155 29478 30345 31654 31920 32368 32585 32946 33320 33614 33915 34391 34680 34986 36015 36176 37240 38416 38437 38760 39102 39304 39984 40460 40817 41160 42483 43928 44688 45220 45619 46648 47481 48020 48552 49130 49980 50421 52136 54264 54910 55860 56644 57624 58310 58956 60690 63308 65170 65892 66640 67228 67830 68782 69360 69972 70805 72030 73695 74480 76874 77520 78204 78608 79135 80920 81634 82320 82365 83521 84035 84966 87465 87856 90440 91238 93296 93347 94962 96040 97104 97755 98260 99127 99960 100842 103173 104272 108528 109820 110789 111720 113288 115248 115311 116620 117649 117912 121380 122451 126616 130340 131784 134456 135660 136857 137564 139944 141610 144060 147390 153748 156408 158270 161840 163268 164730 167042 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44045270408440 44807299308240 45436173684496 45843036547560 46247533928862 47290711385904 47607755515005 48275934539777 48681614661960 50781605882672 52854324490128 53483542638820 53955456250339 54408863445720 55172496616888 56157719770761 56795217105620 59113389232380 61663378571816 63477007353340 64180251166584 66067905612660 68154260526744 68965620771110 74876959694348 76172408824008 77079223214770 78817852309840 80225313958230 82758744925332 85192825658430 88090540816880 91686073095120 92495067857724 93596199617935 95215511030010 96551869079554 97363229323920 103448431156665 106967085277640 107910912500678 108817726891440 110344993233776 112315439541522 113590434211240 115618834822155 118226778464760 123326757143632 126954014706680 128360502333168 131034679465109 132135811225320 136308521053488 137931241542220 144827803619331 149753919388696 152344817648016 154158446429540 160450627916460 161866368751017 165517489850664 170385651316860 184990135715448 187192399235870 190431022060020 193103738159108 206896862313330 213934170555280 215821825001356 224630879083044 227180868422480 231237669644310 236453556929520 241379672698885 253908029413360 262069358930218 264271622450640 269777281251695 275862483084440 280788598853805 289655607238662 299507838777392 308316892859080 320901255832920 323732737502034 331034979701328 340771302633720 369980271430896 374384798471740 380862044120040 386207476318216 393104038395327 413793724626660 431643650002712 449261758166088 462475339288620 482759345397770 524138717860436 539554562503390 551724966168880 561577197707610 579311214477324 616633785718160 641802511665840 647465475004068 655173397325545 681542605267440 724139018096655 748769596943480 761724088240080 772414952636432 786208076790654 809331843755085 827587449253320 863287300005424 898523516332176 917242756255763 924950678577240 965518690795540 1048277435720872 1079109125006780 1123154395415220 1158622428954648 1294930950008136 1310346794651090 1448278036193310 1497539193886960 1572416153581308 1618663687510170 1655174898506640 1834485512511526 1849901357154480 1931037381591080 1965520191976635 2096554871441744 2158218250013560 2246308790830440 2317244857909296 2589861900016272 2620693589302180 2751728268767289 2896556072386620 3144832307162616 3237327375020340 3668971025023052 3862074763182160 3931040383953270 4316436500027120 4492617581660880 4586213781278815 5241387178604360 5503456537534578 5793112144773240 6289664614325232 6474654750040680 7337942050046104 7862080767906540 9172427562557630 10482774357208720 11006913075069156 11586224289546480 12949309500081360 13758641343836445 14675884100092208 15724161535813080 18344855125115260 22013826150138312 27517282687672890 31448323071626160 36689710250230520 44027652300276624 55034565375345780 73379420500461040 110069130750691560 220138261501383120
- Sum of all divisors σ(n): 890448531216134400
- Sum of proper divisors (its aliquot sum) s(n): 670310269714751280
- 220138261501383120 is an abundant number, because the sum of its proper divisors (670310269714751280) is greater than itself. Its abundance is 450172008213368160
Bases of 220138261501383120
- Binary: 11000011100001011010010101000111100100001100010001110100002
- Hexadecimal: 0x30E16951E4311D0
- Base-36: 1O7KI17SG15C
Squares and roots of 220138261501383120
- 220138261501383120 squared (2201382615013831202) is 48460854176851337514493673020934400
- 220138261501383120 cubed (2201382615013831203) is 10668088189364094161019454853520998410574314787328000
-
The
square root of 220138261501383120 is 469188940.0885139365 -
The
cube root of 220138261501383120 is 603807.5106080787
Scales and comparisons
How big is 220138261501383120?- 220,138,261,501,383,120 seconds is equal to 6,999,715,783 years, 20 weeks, 2 days, 21 hours, 32 minutes.
-
To count from 1 to 220,138,261,501,383,120 would take you about twenty billion, nine hundred ninety-nine million, one hundred forty-seven thousand, three hundred fifty 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 220138261501383120 cubic inches would be around 50317.3 feet tall.
Recreational maths with 220138261501383120
- 220138261501383120 backwards is 021383105162831022
- 220138261501383120 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 220138261501383120's digits is 48
- More coming soon!
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Cite this page
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"Number 220138261501383120 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 220138261501383120 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/220138261501383120/
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Numbermatics. 2024. "Number 220138261501383120 - Facts about the integer". https://numbermatics.com/n/220138261501383120/
The information we have on file for 220138261501383120 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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