480138272640
480,138,272,640 is an even composite number composed of seven prime numbers multiplied together.
480138272640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 480138272640:
27 × 32 × 5 × 13 × 29 × 127 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 29 × 127 × 1741)See below for interesting mathematical facts about the number 480138272640 from the Numbermatics database.
Names of 480138272640
- Cardinal: 480138272640 can be written as Four hundred eighty billion, one hundred thirty-eight million, two hundred seventy-two thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.8013827264 × 1011
Factors of 480138272640
Divisors of 480138272640
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 29 30 32 36 39 40 45 48 52 58 60 64 65 72 78 80 87 90 96 104 116 117 120 127 128 130 144 145 156 160 174 180 192 195 208 232 234 240 254 260 261 288 290 312 320 348 360 377 381 384 390 416 435 464 468 480 508 520 522 576 580 585 624 635 640 696 720 754 762 780 832 870 928 936 960 1016 1040 1044 1131 1143 1152 1160 1170 1248 1270 1305 1392 1440 1508 1524 1560 1651 1664 1740 1741 1856 1872 1885 1905 1920 2032 2080 2088 2262 2286 2320 2340 2496 2540 2610 2784 2880 3016 3048 3120 3302 3393 3480 3482 3683 3712 3744 3770 3810 4064 4160 4176 4524 4572 4640 4680 4953 4992 5080 5220 5223 5568 5655 5715 5760 6032 6096 6240 6604 6786 6960 6964 7366 7488 7540 7620 8128 8255 8320 8352 8705 9048 9144 9280 9360 9906 10160 10440 10446 11049 11136 11310 11430 12064 12192 12480 13208 13572 13920 13928 14732 14859 14976 15080 15240 15669 16256 16510 16704 16965 17410 18096 18288 18415 18560 18720 19812 20320 20880 20892 22098 22620 22633 22860 24128 24384 24765 24960 26115 26416 27144 27840 27856 29464 29718 30160 30480 31338 33020 33147 33408 33930 34820 36192 36576 36830 37440 39624 40640 41760 41784 44196 45240 45266 45720 47879 48256 48768 49530 50489 52230 52832 54288 55245 55680 55712 58928 59436 60320 60960 62676 66040 66294 67860 67899 69640 72384 73152 73660 74295 74880 78345 79248 81280 83520 83568 88392 90480 90532 91440 95758 99060 100978 104460 105664 108576 110490 111424 113165 117856 118872 120640 121920 125352 132080 132588 135720 135798 139280 143637 144768 146304 147320 148590 151467 156690 158496 165735 167040 167136 176784 180960 181064 182880 191516 198120 201956 203697 208920 211328 217152 220980 221107 222848 226330 235712 237744 239395 241280 243840 250704 252445 264160 265176 271440 271596 278560 287274 294640 297180 302934 313380 316992 331470 334272 339495 353568 361920 362128 365760 383032 396240 403912 407394 417840 430911 434304 441960 442214 452660 454401 471424 475488 478790 501408 504890 528320 530352 542880 543192 557120 574548 589280 594360 605868 626760 633984 656357 662940 663321 668544 678990 707136 718185 723840 724256 731520 757335 766064 792480 807824 814788 835680 861822 883920 884428 905320 908802 950976 957580 1002816 1009780 1018485 1056640 1060704 1085760 1086384 1105535 1114240 1149096 1178560 1188720 1211736 1253520 1312714 1325880 1326642 1357980 1414272 1436370 1448512 1514670 1532128 1584960 1615648 1629576 1671360 1723644 1767840 1768856 1810640 1817604 1901952 1915160 1969071 1989963 2005632 2019560 2036970 2121408 2154555 2171520 2172768 2211070 2272005 2298192 2357120 2377440 2423472 2507040 2625428 2651760 2653284 2715960 2872740 2874391 2897024 3029340 3064256 3169920 3231296 3259152 3281785 3316605 3342720 3447288 3535680 3537712 3621280 3635208 3830320 3938142 3979926 4039120 4073940 4242816 4309110 4345536 4422140 4544010 4596384 4754880 4846944 5014080 5250856 5303520 5306568 5431920 5745480 5748782 5907213 6058680 6128512 6412103 6462592 6518304 6563570 6633210 6894576 7071360 7075424 7242560 7270416 7660640 7876284 7959852 8078240 8147880 8618220 8623173 8691072 8844280 9088020 9192768 9509760 9693888 9845355 9949815 10028160 10501712 10607040 10613136 10863840 11490960 11497564 11814426 12117360 12824206 13036608 13127140 13266420 13789152 14150848 14371955 14485120 14540832 15321280 15752568 15919704 16156480 16295760 17236440 17246346 17688560 18176040 18385536 19236309 19387776 19690710 19899630 21003424 21214080 21226272 21727680 22981920 22995128 23628852 24234720 25648412 25869519 26073216 26254280 26532840 27578304 28301696 28743910 29081664 29536065 30642560 31505136 31839408 32060515 32312960 32591520 34472880 34492692 35377120 36352080 38472618 39381420 39799260 42006848 42452544 43115865 43455360 45963840 45990256 47257704 48469440 51296824 51739038 52508560 53065680 55156608 57487820 57708927 58163328 59072130 63010272 63678816 64121030 65183040 68945760 68985384 70754240 72704160 76945236 78762840 79598520 83357339 84013696 84905088 86231730 91927680 91980512 94515408 96181545 96938880 102593648 103478076 105017120 106131360 114975640 115417854 118144260 126020544 127357632 128242060 129347595 130366080 137891520 137970768 141508480 145408320 153890472 157525680 159197040 166714678 172463460 183961024 189030816 192363090 205187296 206956152 210034240 212262720 229951280 230835708 236288520 250072017 252041088 254715264 256484120 258695190 275783040 275941536 288544635 290816640 307780944 315051360 318394080 333429356 344926920 367922048 378061632 384726180 410374592 413912304 416786695 420068480 424525440 459902560 461671416 472577040 500144034 512968240 517390380 551883072 577089270 615561888 630102720 636788160 666858712 689853840 750216051 756123264 769452360 820749184 827824608 833573390 919805120 923342832 945154080 1000288068 1025936480 1034780760 1103766144 1154178540 1231123776 1250360085 1260205440 1273576320 1333717424 1379707680 1500432102 1538904720 1655649216 1667146780 1839610240 1846685664 1890308160 2000576136 2051872960 2069561520 2308357080 2462247552 2500720170 2667434848 2759415360 3000864204 3077809440 3311298432 3334293560 3693371328 3751080255 3780616320 4001152272 4103745920 4139123040 4616714160 5001440340 5334869696 5518830720 6001728408 6155618880 6668587120 7386742656 7502160510 8002304544 8278246080 9233428320 10002880680 10669739392 12003456816 12311237760 13337174240 15004321020 16004609088 16556492160 18466856640 20005761360 24006913632 26674348480 30008642040 32009218176 36933713280 40011522720 48013827264 53348696960 60017284080 80023045440 96027654528 120034568160 160046090880 240069136320 480138272640
- Sum of all divisors σ(n): 1862696908800
- Sum of proper divisors (its aliquot sum) s(n): 1382558636160
- 480138272640 is an abundant number, because the sum of its proper divisors (1382558636160) is greater than itself. Its abundance is 902420363520
Bases of 480138272640
- Binary: 1101111110010100111100010011111100000002
- Hexadecimal: 0x6FCA789F80
- Base-36: 64KLXI80
Squares and roots of 480138272640
- 480138272640 squared (4801382726402) is 230532760853722972569600
- 480138272640 cubed (4801382726403) is 110687601583236759762653846175744000
-
The
square root of 480138272640 is 692920.1055244391 -
The
cube root of 480138272640 is 7830.4870422175
Scales and comparisons
How big is 480138272640?- 480,138,272,640 seconds is equal to 15,266 years, 47 weeks, 2 days, 22 hours, 24 minutes.
-
To count from 1 to 480,138,272,640 would take you about thirty thousand, five hundred thirty-three 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 480138272640 cubic inches would be around 652.5 feet tall.
Recreational maths with 480138272640
- 480138272640 backwards is 046272831084
- 480138272640 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 480138272640's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 480138272640 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 480138272640 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/480138272640/
Chicago style:
Numbermatics. 2024. "Number 480138272640 - Facts about the integer". https://numbermatics.com/n/480138272640/
The information we have on file for 480138272640 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 480138272640, math, Factors of 480138272640, curriculum, school, college, exams, university, Prime factorization of 480138272640, STEM, science, technology, engineering, physics, economics, calculator, four hundred eighty billion, one hundred thirty-eight million, two hundred seventy-two thousand, six hundred forty.