40001248830816
40,001,248,830,816 is an even composite number composed of six prime numbers multiplied together.
What does the number 40001248830816 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
40001248830816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 40001248830816:
25 × 32 × 7 × 132 × 941 × 124769
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 13 × 941 × 124769)See below for interesting mathematical facts about the number 40001248830816 from the Numbermatics database.
Names of 40001248830816
- Cardinal: 40001248830816 can be written as Forty trillion, one billion, two hundred forty-eight million, eight hundred thirty thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 4.0001248830816 × 1013
Factors of 40001248830816
Divisors of 40001248830816
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 169 182 208 224 234 252 273 288 312 336 338 364 416 468 504 507 546 624 672 676 728 819 936 941 1008 1014 1092 1183 1248 1352 1456 1521 1638 1872 1882 2016 2028 2184 2366 2704 2823 2912 3042 3276 3549 3744 3764 4056 4368 4732 5408 5646 6084 6552 6587 7098 7528 8112 8469 8736 9464 10647 11292 12168 12233 13104 13174 14196 15056 16224 16938 18928 19761 21294 22584 24336 24466 26208 26348 28392 30112 33876 36699 37856 39522 42588 45168 48672 48932 52696 56784 59283 67752 73398 79044 85176 85631 90336 97864 105392 110097 113568 118566 124769 135504 146796 158088 159029 170352 171262 195728 210784 220194 237132 249538 256893 271008 293592 316176 318058 340704 342524 374307 391456 440388 474264 477087 499076 513786 587184 632352 636116 685048 748614 770679 873383 880776 948528 954174 998152 1027572 1113203 1122921 1174368 1272232 1370096 1431261 1497228 1541358 1621997 1746766 1761552 1897056 1908348 1996304 2055144 2226406 2245842 2544464 2620149 2740192 2862522 2994456 3082716 3243994 3339609 3493532 3523104 3816696 3992608 4110288 4452812 4491684 4865991 5088928 5240298 5725044 5988912 6165432 6487988 6679218 6987064 7633392 7860447 8220576 8905624 8983368 9731982 10018827 10480596 11353979 11450088 11977824 12330864 12975976 13358436 13974128 14597973 15266784 15720894 17811248 17966736 19463964 20037654 20961192 21085961 22707958 22900176 24661728 25951952 26716872 27948256 29195946 31441788 34061937 35622496 35933472 38927928 40075308 41922384 42171922 45415916 45800352 51903904 53433744 58391892 62883576 63257883 68123874 77855856 80150616 83844768 84343844 90831832 102185811 106867488 116783784 117407629 125767152 126515766 136247748 147601727 155711712 160301232 168687688 181663664 189773649 204371622 233567568 234815258 251534304 253031532 272495496 295203454 320602464 337375376 352222887 363327328 379547298 408743244 442805181 467135136 469630516 506063064 544990992 590406908 674750752 704445774 759094596 817486488 821853403 885610362 939261032 1012126128 1056668661 1089981984 1180813816 1328415543 1408891548 1518189192 1526299177 1634972976 1643706806 1771220724 1878522064 2024252256 2113337322 2361627632 2465560209 2656831086 2817783096 3036378384 3052598354 3269945952 3287413612 3542441448 3757044128 4226674644 4578897531 4723255264 4931120418 5313662172 5635566192 6072756768 6105196708 6574827224 7084882896 7396680627 8453349288 9157795062 9862240836 10627324344 10684094239 11271132384 12210393416 13149654448 13736692593 14169765792 14793361254 16906698576 18315590124 19724481672 19841889301 21254648688 21368188478 24420786832 26299308896 27473385186 29586722508 32052282717 33813397152 36631180248 39448963344 39683778602 42509297376 42736376956 48841573664 54946770372 59173445016 59525667903 64104565434 73262360496 78897926688 79367557204 85472753912 96156848151 109893540744 118346890032 119051335806 128209130868 138893225107 146524720992 158735114408 170945507824 178577003709 192313696302 219787081488 236693780064 238102671612 256418261736 277786450214 317470228816 341891015648 357154007418 384627392604 416679675321 439574162976 476205343224 512836523472 555572900428 634940457632 714308014836 769254785208 833359350642 952410686448 1025673046944 1111145800856 1250039025963 1428616029672 1538509570416 1666718701284 1904821372896 2222291601712 2500078051926 2857232059344 3077019140832 3333437402568 4444583203424 5000156103852 5714464118688 6666874805136 10000312207704 13333749610272 20000624415408 40001248830816
- Sum of all divisors σ(n): 140924355193440
- Sum of proper divisors (its aliquot sum) s(n): 100923106362624
- 40001248830816 is an abundant number, because the sum of its proper divisors (100923106362624) is greater than itself. Its abundance is 60921857531808
Bases of 40001248830816
- Binary: 10010001100001100001000011101000100101011000002
- Hexadecimal: 0x2461843A2560
- Base-36: E6GBIR2W0
Squares and roots of 40001248830816
- 40001248830816 squared (400012488308162) is 1600099908024858406991225856
- 40001248830816 cubed (400012488308163) is 64005994575068156488521721552690588778496
-
The
square root of 40001248830816 is 6324654.0483109427 -
The
cube root of 40001248830816 is 34199.8748416063
Scales and comparisons
How big is 40001248830816?- 40,001,248,830,816 seconds is equal to 1,271,915 years, 51 weeks, 33 minutes, 36 seconds.
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To count from 1 to 40,001,248,830,816 would take you about three million, one hundred seventy-nine thousand, seven hundred eighty-nine 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 40001248830816 cubic inches would be around 2850 feet tall.
Recreational maths with 40001248830816
- 40001248830816 backwards is 61803884210004
- The number of decimal digits it has is: 14
- The sum of 40001248830816's digits is 45
- More coming soon!
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