48338642101392513
48,338,642,101,392,513 is an odd composite number composed of seven prime numbers multiplied together.
48338642101392513 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 48338642101392513:
32 × 132 × 19 × 61 × 79 × 1723 × 201451
(3 × 3 × 13 × 13 × 19 × 61 × 79 × 1723 × 201451)See below for interesting mathematical facts about the number 48338642101392513 from the Numbermatics database.
Names of 48338642101392513
- Cardinal: 48338642101392513 can be written as Forty-eight quadrillion, three hundred thirty-eight trillion, six hundred forty-two billion, one hundred one million, three hundred ninety-two thousand, five hundred thirteen.
Scientific notation
- Scientific notation: 4.8338642101392513 × 1016
Factors of 48338642101392513
Divisors of 48338642101392513
- Number of divisors d(n): 288
-
Complete list of divisors:
1 3 9 13 19 39 57 61 79 117 169 171 183 237 247 507 549 711 741 793 1027 1159 1501 1521 1723 2223 2379 3081 3211 3477 4503 4819 5169 7137 9243 9633 10309 10431 13351 13509 14457 15067 15507 19513 22399 28899 30927 32737 40053 43371 45201 58539 62647 67197 91561 92781 98211 105103 120159 135603 136117 175617 187941 195871 201451 201591 253669 274683 291187 294633 315309 408351 425581 563823 587613 604353 761007 814411 824049 873561 945927 1190293 1225053 1276743 1366339 1762839 1769521 1813059 1996957 2283021 2443233 2586223 2618863 2620683 3570879 3827569 3830229 4099017 5308563 5532553 5990871 7329699 7758669 7856589 8303137 10712637 11482707 12288511 12297051 15473809 15914629 15925689 16597659 17762407 17972613 23003773 23276007 23569767 24909411 25960441 33620899 34045219 34448121 36865533 46421427 47743887 49758397 49792977 53287221 69011319 74728233 77881323 100862697 102135657 107940781 110596599 139264281 143231661 149275191 157759603 159750643 159861663 206890177 207033957 233481709 233643969 302377951 302588091 306406971 323822343 337485733 347100073 437071687 447825573 473278809 479251929 620670531 646859161 700445127 907133853 970792369 971467029 1012457199 1041300219 1311215061 1403230153 1419836427 1437755787 1862011593 1940577483 2050874839 2076758359 2101335381 2689572301 2721401559 2912377107 3035262217 3037371597 3123900657 3930913363 3933645183 4209690459 4512300949 5821732449 6152624517 6230275077 6594901387 8068716903 8737131321 9105786651 11792740089 12620300797 12629071377 13536902847 18445055011 18457873551 18690825231 19784704161 21173104453 24206150709 26661372907 27317359953 27420905767 35378220267 37860902391 39458408821 40610708541 51101873719 55335165033 58659912337 59354112483 63519313359 79984118721 82262717301 85733718031 113582707173 118375226463 153305621157 164063910361 166005495099 175979737011 190557940077 239785715143 239952356163 246788151903 257201154093 275250357889 355125679389 356471774971 402288984607 459916863471 492191731083 520997209573 527939211033 719357145429 771603462279 825751073667 1069415324913 1114538334403 1206866953821 1476575193249 1562991628719 1672675251787 2158071436287 2477253221001 3117214296859 3208245974739 3343615003209 3578254652557 3620600861463 4634133074623 4688974886157 5018025755361 5229756799891 6772963724449 9351642890577 10030845009627 10734763957671 13902399223869 15054077266083 15689270399673 20318891173347 21744778273231 28054928671731 31780829783953 32204291873013 41707197671607 47067811199019 60956673520041 65234334819693 67986838398583 88048528417837 95342489351859 195703004459079 203960515195749 264145585253511 282682117552003 286027468055577 413150787191389 611881545587247 792436755760533 848046352656009 1239452361574167 2544139057968027 3718357084722501 5370960233488057 16112880700464171 48338642101392513
- Sum of all divisors σ(n): 81962455157606400
- Sum of proper divisors (its aliquot sum) s(n): 33623813056213887
- 48338642101392513 is a deficient number, because the sum of its proper divisors (33623813056213887) is less than itself. Its deficiency is 14714829045178626
Bases of 48338642101392513
- Binary: 101010111011101110111101001001110110000011010100100000012
- Hexadecimal: 0xABBBBD2760D481
- Base-36: D7YM9M8EY69
Squares and roots of 48338642101392513
- 48338642101392513 squared (483386421013925132) is 2336624320206516785055133692455169
- 48338642101392513 cubed (483386421013925133) is 112949246739872392702426473635149363969496724749697
-
The
square root of 48338642101392513 is 219860506.0064051453 -
The
cube root of 48338642101392513 is 364276.7742137129
Scales and comparisons
How big is 48338642101392513?- 48,338,642,101,392,513 seconds is equal to 1,537,019,297 years, 30 weeks, 3 days, 16 hours, 8 minutes, 33 seconds.
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To count from 1 to 48,338,642,101,392,513 would take you about four billion, six hundred eleven million, fifty-seven thousand, eight hundred ninety-two 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 48338642101392513 cubic inches would be around 30356.4 feet tall.
Recreational maths with 48338642101392513
- 48338642101392513 backwards is 31529310124683384
- The number of decimal digits it has is: 17
- The sum of 48338642101392513's digits is 63
- More coming soon!
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