46728754728750990
46,728,754,728,750,990 is an even composite number composed of six prime numbers multiplied together.
What does the number 46728754728750990 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
46728754728750990 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 46728754728750990:
2 × 311 × 5 × 7 × 37 × 4673
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 37 × 467 × 467 × 467)See below for interesting mathematical facts about the number 46728754728750990 from the Numbermatics database.
Names of 46728754728750990
- Cardinal: 46728754728750990 can be written as Forty-six quadrillion, seven hundred twenty-eight trillion, seven hundred fifty-four billion, seven hundred twenty-eight million, seven hundred fifty thousand, nine hundred ninety.
Scientific notation
- Scientific notation: 4.672875472875099 × 1016
Factors of 46728754728750990
Divisors of 46728754728750990
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 37 42 45 54 63 70 74 81 90 105 111 126 135 162 185 189 210 222 243 259 270 315 333 370 378 405 467 486 518 555 567 630 666 729 777 810 934 945 999 1110 1134 1215 1295 1401 1458 1554 1665 1701 1890 1998 2187 2331 2335 2430 2590 2802 2835 2997 3269 3330 3402 3645 3885 4203 4374 4662 4670 4995 5103 5670 5994 6538 6561 6993 7005 7290 7770 8406 8505 8991 9807 9990 10206 10935 11655 12609 13122 13986 14010 14985 15309 16345 17010 17279 17982 19614 19683 20979 21015 21870 23310 25218 25515 26973 29421 29970 30618 32690 32805 34558 34965 37827 39366 41958 42030 44955 45927 49035 51030 51837 53946 58842 59049 62937 63045 65610 69930 75654 76545 80919 86395 88263 89910 91854 98070 98415 103674 104895 113481 118098 120953 125874 126090 134865 137781 147105 153090 155511 161838 172790 176526 177147 188811 189135 196830 209790 218089 226962 229635 241906 242757 259185 264789 269730 275562 294210 295245 311022 314685 340443 354294 362859 377622 378270 404595 413343 436178 441315 459270 466533 485514 518370 529578 566433 567405 590490 604765 629370 654267 680886 688905 725718 728271 777555 794367 809190 826686 882630 885735 933066 944055 1021329 1088577 1090445 1132866 1134810 1209530 1213785 1240029 1308534 1323945 1377810 1399599 1456542 1526623 1555110 1588734 1699299 1702215 1771470 1814295 1888110 1962801 2042658 2066715 2177154 2180890 2184813 2332665 2383101 2427570 2480058 2647890 2799198 2832165 3053246 3063987 3265731 3271335 3398598 3404430 3628590 3641355 3925602 3971835 4133430 4198797 4369626 4579869 4665330 4766202 5097897 5106645 5442885 5664330 5888403 6127974 6200145 6531462 6542670 6554439 6997995 7149303 7282710 7633115 7943670 8069293 8397594 8496495 9159738 9191961 9797193 9814005 10195794 10213290 10885770 10924065 11776806 11915505 12400290 12596391 13108878 13739607 13995990 14298606 15266230 15293691 15319935 16138586 16328655 16992990 17665209 18383922 19594386 19628010 20993985 21447909 21848130 22899345 23831010 24207879 25192782 25489485 27479214 27575883 29391579 29442015 30587382 30639870 32657310 32772195 35330418 35746515 37789173 40346465 41218821 41987970 42895818 45798690 45881073 45959805 48415758 48985965 50978970 52995627 55151766 56485051 58783158 58884030 62981955 64343727 65544390 68698035 71493030 72623637 75578346 76468455 80692930 82437642 82727649 88174737 88326045 91762146 91919610 97971930 101847563 105991254 107239545 112970102 113367519 121039395 123656463 125963910 128687454 137396070 137879415 145247274 146957895 152936910 158986881 165455298 169455153 176349474 176652090 188945865 193031181 203695126 206094105 214479090 217870911 226735038 229405365 242078790 247312926 264524211 264978135 275758830 282425255 293915790 305542689 317973762 321718635 338910306 340102557 363118185 370969389 377891730 386062362 412188210 413638245 435741822 440873685 458810730 476960643 508365459 509237815 529048422 529956270 564850510 566837595 579093543 611085378 618282315 643437270 653612733 680205114 712932941 726236370 741938778 793572633 794934405 827276490 847275765 881747370 916628067 953921286 965155905 1016730918 1018475630 1020307671 1089354555 1112908167 1133675190 1158187086 1236564630 1307225466 1322621055 1425865882 1430881929 1525096377 1527713445 1587145266 1589868810 1694551530 1700512785 1833256134 1854846945 1930311810 1960838199 2040615342 2138798823 2178709110 2225816334 2380717899 2384803215 2541827295 2645242110 2749884201 2861763858 2895467715 3050192754 3055426890 3060923013 3268063665 3338724501 3401025570 3564664705 3709693890 3768359831 3921676398 3967863165 4277597646 4292645787 4575289131 4583140335 4761435798 4769606430 5083654590 5101538355 5499768402 5564540835 5790935430 5882514597 6121846026 6416396469 6536127330 6677449002 7129329410 7142153697 7154409645 7536719662 7625481885 7935726330 8249652603 8585291574 9150578262 9166280670 9804190995 10016173503 10203076710 10693994115 11129081670 11305079493 11765029194 11903589495 12832792938 12877937361 13725867393 13749421005 14284307394 14308819290 15250963770 15304615065 16499305206 16693622505 17647543791 18841799155 19249189407 19608381990 20032347006 21387988230 21426461091 21463228935 22610158986 22876445655 23807178990 24748957809 25755874722 26378518817 27451734786 27498842010 29412572985 30048520509 30609230130 32081982345 33387245010 33915238479 35295087582 35710768485 37683598310 38498378814 38633812083 41177602179 41248263015 42852922182 42926457870 45752891310 49497915618 50080867515 52757037634 52942631373 56525397465 57747568221 58825145970 60097041018 64163964690 64389686805 67830476958 68629336965 71421536970 74246873427 77267624166 79135556451 82355204358 82496526030 88237718955 90145561527 96245947035 100161735030 101745715437 105885262746 107132305455 113050794930 115495136442 123532806537 123744789045 128779373610 131892594085 137258673930 148493746854 150242602545 158271112902 158827894119 169576192395 173242704663 176475437910 180291123054 192491894070 193169060415 203491430874 205888010895 214264610910 222740620281 237406669353 247065613074 247489578090 263785188170 264713156865 270436684581 288737841105 300485205090 305237146311 317655788238 339152384790 346485409326 370598419611 371234367135 386338120830 395677782255 411776021790 445481240562 450727807635 474813338706 476483682357 508728577185 519728113989 529426313730 540873369162 577475682210 610474292622 617664032685 668221860843 712220008059 741196839222 742468734270 791355564510 794139470595 866213523315 901455615270 915711438933 952967364714 1017457154370 1039456227978 1111795258833 1113703101405 1187033346765 1235328065370 1336443721686 1352183422905 1424440016118 1429451047071 1526185731555 1559184341967 1588278941190 1732427046630 1831422877866 1852992098055 2004665582529 2136660024177 2223590517666 2227406202810 2374066693530 2382418411785 2598640569945 2704366845810 2747134316799 2858902094142 3052371463110 3118368683934 3335385776499 3341109304215 3561100040295 3705984196110 4009331165058 4273320048354 4578557194665 4677553025901 4764836823570 5197281139890 5494268633598 5558976294165 6013996747587 6409980072531 6670771552998 6682218608430 7122200080590 7147255235355 7795921709835 8241402950397 9157114389330 9355106051802 10006157329497 10023327912645 10683300120885 11117952588330 12027993495174 12819960145062 13735671583995 14032659077703 14294510470710 15591843419670 16482805900794 16676928882495 18041990242761 19229940217593 20012314658994 20046655825290 21366600241770 23387765129505 24724208851191 27471343167990 28065318155406 30069983737935 32049900362655 33353857764990 36083980485522 38459880435186 41207014751985 42097977233109 46775530259010 49448417702382 50030786647485 57689820652779 60139967475870 64099800725310 70163295388515 74172626553573 82414029503970 84195954466218 90209951213805 96149701087965 100061573294970 115379641305558 123621044255955 126293931699327 140326590777030 148345253107146 173069461958337 180419902427610 192299402175930 210489886165545 222517879660719 247242088511910 252587863398654 288449103263895 346138923916674 370863132767865 420979772331090 445035759321438 519208385875011 576898206527790 631469658496635 667553638982157 741726265535730 865347309791685 1038416771750022 1112589398303595 1262939316993270 1335107277964314 1557625157625033 1730694619583370 2225178796607190 2596041929375055 3115250315250066 3337768194910785 4672875472875099 5192083858750110 6675536389821570 7788125788125165 9345750945750198 15576251576250330 23364377364375495 46728754728750990
- Sum of all divisors σ(n): 148406163471820800
- Sum of proper divisors (its aliquot sum) s(n): 101677408743069810
- 46728754728750990 is an abundant number, because the sum of its proper divisors (101677408743069810) is greater than itself. Its abundance is 54948654014318820
Bases of 46728754728750990
- Binary: 101001100000001110001110000010100110011101001111100011102
- Hexadecimal: 0xA6038E0A674F8E
- Base-36: CS3YLKGSYVI
Squares and roots of 46728754728750990
- 46728754728750990 squared (467287547287509902) is 2183576518499768009010925425980100
- 46728754728750990 cubed (467287547287509903) is 102035811564435657947600568880010126794569595299000
-
The
square root of 46728754728750990 is 216168348.1195870867 -
The
cube root of 46728754728750990 is 360187.0291767045
Scales and comparisons
How big is 46728754728750990?- 46,728,754,728,750,990 seconds is equal to 1,485,829,858 years, 43 weeks, 6 days, 19 hours, 16 minutes, 30 seconds.
-
To count from 1 to 46,728,754,728,750,990 would take you about four billion, four hundred fifty-seven million, four hundred eighty-nine thousand, five hundred seventy-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 46728754728750990 cubic inches would be around 30015.6 feet tall.
Recreational maths with 46728754728750990
- 46728754728750990 backwards is 09905782745782764
- 46728754728750990 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 46728754728750990's digits is 90
- 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 46728754728750990 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 46728754728750990 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/46728754728750990/
Chicago style:
Numbermatics. 2024. "Number 46728754728750990 - Facts about the integer". https://numbermatics.com/n/46728754728750990/
The information we have on file for 46728754728750990 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 46728754728750990, math, Factors of 46728754728750990, curriculum, school, college, exams, university, Prime factorization of 46728754728750990, STEM, science, technology, engineering, physics, economics, calculator, forty-six quadrillion, seven hundred twenty-eight trillion, seven hundred fifty-four billion, seven hundred twenty-eight million, seven hundred fifty thousand, nine hundred ninety.