248428016421312
248,428,016,421,312 is an even composite number composed of seven prime numbers multiplied together.
248428016421312 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 248428016421312:
26 × 3 × 7 × 132 × 107 × 1327 × 7703
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 107 × 1327 × 7703)See below for interesting mathematical facts about the number 248428016421312 from the Numbermatics database.
Names of 248428016421312
- Cardinal: 248428016421312 can be written as Two hundred forty-eight trillion, four hundred twenty-eight billion, sixteen million, four hundred twenty-one thousand, three hundred twelve.
Scientific notation
- Scientific notation: 2.48428016421312 × 1014
Factors of 248428016421312
Divisors of 248428016421312
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 107 112 156 168 169 182 192 208 214 224 273 312 321 336 338 364 416 428 448 507 546 624 642 672 676 728 749 832 856 1014 1092 1183 1248 1284 1327 1344 1352 1391 1456 1498 1712 2028 2184 2247 2366 2496 2568 2654 2704 2782 2912 2996 3424 3549 3981 4056 4173 4368 4494 4732 5136 5308 5408 5564 5824 5992 6848 7098 7703 7962 8112 8346 8736 8988 9289 9464 9737 10272 10616 10816 11128 11984 14196 15406 15924 16224 16692 17251 17472 17976 18083 18578 18928 19474 20544 21232 22256 23109 23968 27867 28392 29211 30812 31848 32448 33384 34502 35952 36166 37156 37856 38948 42464 44512 46218 47936 51753 53921 54249 55734 56784 58422 61624 63696 66768 69004 71904 72332 74312 75712 77896 84928 89024 92436 100139 103506 107842 108498 111468 113568 116844 120757 123248 126581 127392 133536 138008 141989 143808 144664 148624 155792 161763 184872 200278 207012 215684 216996 222936 224263 227136 233688 241514 246496 253162 254784 267072 276016 283978 289328 297248 300417 311584 323526 362271 369744 379743 400556 414024 425967 431368 433992 445872 448526 467376 483028 492992 506324 552032 567956 578656 594496 600834 623168 647052 672789 700973 724542 739488 759486 801112 824221 828048 851934 862736 867984 891744 897052 934752 966056 993923 1012648 1104064 1135912 1157312 1201668 1294104 1301807 1345578 1401946 1449084 1478976 1518972 1569841 1602224 1648442 1656096 1703868 1725472 1735968 1783488 1794104 1845857 1869504 1932112 1987846 2025296 2102919 2271824 2403336 2472663 2588208 2603614 2691156 2803892 2898168 2981769 3037944 3139682 3204448 3296884 3312192 3407736 3450944 3471936 3588208 3691714 3864224 3905421 3975692 4050592 4205838 4543648 4709523 4806672 4945326 5176416 5207228 5382312 5537571 5607784 5769547 5796336 5963538 6075888 6279364 6408896 6593768 6815472 7176416 7383428 7728448 7810842 7951384 8101184 8411676 9087296 9112649 9419046 9613344 9890652 10221881 10352832 10414456 10714873 10764624 11075142 11215568 11539094 11592672 11927076 12151776 12558728 12920999 13187536 13630944 14352832 14766856 15621684 15902768 16823352 17308641 18225298 18838092 19226688 19781304 20443762 20828912 21429746 21529248 22150284 22431136 23078188 23185344 23854152 23996141 24303552 25117456 25841998 26375072 27261888 27337947 29533712 30665643 31243368 31805536 32144619 33646704 34617282 36450596 37676184 38762997 39562608 40887524 41657824 42859492 43058496 44300568 44862272 46156376 47708304 47992282 50234912 51683996 52750144 54675894 59067424 61331286 62486736 63611072 64289238 67293408 69234564 71553167 71988423 72901192 75004111 75352368 77525994 79125216 81775048 83315648 85718984 88601136 92312752 95416608 95984564 100469824 103367992 109351788 118134848 122662572 124973472 128578476 132884453 134586816 138469128 139293349 143106334 143976846 145802384 150008222 150704736 155051988 158250432 163550096 167972987 171437968 177202272 184625504 190833216 191969128 206735984 214659501 218703576 225012333 245325144 249946944 257156952 265768906 276938256 278586698 286212668 287953692 291604768 300016444 301409472 310103976 327100192 335945974 342875936 354404544 369251008 383938256 398653359 413471968 417880047 429319002 437407152 450024666 490650288 503918961 514313904 531537812 553876512 557173396 572425336 575907384 583209536 600032888 620207952 654200384 671891948 685751872 767876512 797306718 826943936 835760094 858638004 874814304 900049332 930191171 975053443 981300576 1007837922 1028627808 1063075624 1093741267 1107753024 1114346792 1144850672 1151814768 1200065776 1240415904 1343783896 1535753024 1594613436 1671520188 1717276008 1727497889 1749628608 1800098664 1860382342 1950106886 1962601152 2015675844 2057255616 2126151248 2187482534 2228693584 2289701344 2303629536 2400131552 2480831808 2687567792 2790573513 2925160329 3189226872 3281223801 3343040376 3434552016 3454995778 3600197328 3720764684 3900213772 4031351688 4252302496 4374965068 4457387168 4579402688 4607259072 4800263104 5182493667 5375135584 5581147026 5850320658 6378453744 6562447602 6686080752 6869104032 6909991556 7200394656 7441529368 7656188869 7800427544 8062703376 8504604992 8749930136 8914774336 10364987334 10750271168 11162294052 11700641316 12092485223 12756907488 13124895204 13372161504 13738208064 13819983112 14218636471 14400789312 14883058736 15312377738 15600855088 16125406752 17499860272 20729974668 22324588104 22968566607 23401282632 24184970446 25513814976 26249790408 26744323008 27639966224 28437272942 29766117472 30624755476 31201710176 32250813504 34999720544 36277455669 41459949336 42655909413 44649176208 45937133214 46802565264 48369940892 52499580816 55279932448 56874545884 59532234944 61249510952 62403420352 69999441088 72554911338 82919898672 85311818826 89298352416 91874266428 93605130528 96739881784 99530455297 104999161632 110559864896 113749091768 122499021904 145109822676 165839797344 170623637652 178596704832 183748532856 184842274123 187210261056 193479763568 199060910594 209998323264 227498183536 244998043808 290219645352 298591365891 331679594688 341247275304 367497065712 369684548246 386959527136 398121821188 454996367072 489996087616 554526822369 580439290704 597182731782 682494550608 734994131424 739369096492 773919054272 796243642376 909992734144 1109053644738 1160878581408 1194365463564 1293895918861 1364989101216 1469988262848 1478738192984 1592487284752 2218107289476 2321757162816 2388730927128 2587791837722 2729978202432 2957476385968 3184974569504 3881687756583 4436214578952 4777461854256 5175583675444 5914952771936 6369949139008 7763375513166 8872429157904 9554923708512 10351167350888 11829905543872 15526751026332 17744858315808 19109847417024 20702334701776 31053502052664 35489716631616 41404669403552 62107004105328 82809338807104 124214008210656 248428016421312
- Sum of all divisors σ(n): 821756018737152
- Sum of proper divisors (its aliquot sum) s(n): 573328002315840
- 248428016421312 is an abundant number, because the sum of its proper divisors (573328002315840) is greater than itself. Its abundance is 324899985894528
Bases of 248428016421312
- Binary: 1110000111110001101001111010101111001001110000002
- Hexadecimal: 0xE1F1A7ABC9C0
- Base-36: 2G2696R7PC
Squares and roots of 248428016421312
- 248428016421312 squared (2484280164213122) is 61716479343027664731487801344
- 248428016421312 cubed (2484280164213123) is 15332102543695239527326358699444642063843328
-
The
square root of 248428016421312 is 15761599.4245924167 -
The
cube root of 248428016421312 is 62863.7364276951
Scales and comparisons
How big is 248428016421312?- 248,428,016,421,312 seconds is equal to 7,899,242 years, 25 weeks, 1 day, 3 hours, 15 minutes, 12 seconds.
-
To count from 1 to 248,428,016,421,312 would take you about nineteen million, seven hundred forty-eight thousand, one hundred six 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 248428016421312 cubic inches would be around 5238.6 feet tall.
Recreational maths with 248428016421312
- 248428016421312 backwards is 213124610824842
- 248428016421312 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 248428016421312's digits is 48
- More coming soon!
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The information we have on file for 248428016421312 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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