40528840113216
40,528,840,113,216 is an even composite number composed of eight prime numbers multiplied together.
40528840113216 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 40528840113216:
26 × 32 × 73 × 13 × 19 × 31 × 73 × 367
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 13 × 19 × 31 × 73 × 367)See below for interesting mathematical facts about the number 40528840113216 from the Numbermatics database.
Names of 40528840113216
- Cardinal: 40528840113216 can be written as Forty trillion, five hundred twenty-eight billion, eight hundred forty million, one hundred thirteen thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.0528840113216 × 1013
Factors of 40528840113216
Divisors of 40528840113216
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 28 31 32 36 38 39 42 48 49 52 56 57 62 63 64 72 73 76 78 84 91 93 96 98 104 112 114 117 124 126 133 144 146 147 152 156 168 171 182 186 192 196 208 217 219 224 228 234 247 248 252 266 273 279 288 292 294 304 312 336 342 343 364 367 372 392 399 403 416 434 438 441 448 456 468 494 496 504 511 532 546 558 576 584 588 589 608 624 637 651 657 672 684 686 728 734 741 744 784 798 806 819 832 868 876 882 912 931 936 949 988 992 1008 1022 1029 1064 1092 1101 1116 1168 1176 1178 1197 1209 1216 1248 1274 1302 1314 1344 1368 1372 1387 1456 1468 1482 1488 1519 1533 1568 1596 1612 1638 1729 1736 1752 1764 1767 1824 1862 1872 1898 1911 1953 1976 1984 2016 2044 2058 2128 2184 2202 2223 2232 2263 2336 2352 2356 2394 2418 2496 2548 2569 2604 2628 2736 2744 2774 2793 2821 2847 2912 2936 2964 2976 3038 3066 3087 3136 3192 3224 3276 3303 3458 3472 3504 3528 3534 3577 3627 3648 3724 3744 3796 3822 3906 3952 4032 4088 4116 4123 4161 4256 4368 4404 4446 4459 4464 4526 4557 4599 4672 4704 4712 4771 4788 4836 5096 5138 5187 5208 5256 5301 5472 5488 5548 5586 5642 5694 5733 5824 5872 5928 5952 6076 6132 6174 6384 6448 6517 6552 6606 6643 6789 6916 6944 6973 7008 7056 7068 7154 7254 7448 7488 7592 7644 7657 7707 7812 7904 8176 8232 8246 8322 8379 8463 8512 8541 8736 8808 8892 8918 8928 9052 9114 9198 9408 9424 9542 9576 9672 9709 10192 10276 10374 10416 10512 10602 10633 10731 10944 10976 11096 11172 11284 11377 11388 11466 11744 11856 12103 12152 12264 12348 12369 12483 12768 12896 13034 13104 13212 13286 13377 13578 13671 13832 13888 13946 14016 14112 14136 14308 14313 14508 14896 15184 15288 15314 15414 15561 15624 15808 15841 16352 16464 16492 16644 16758 16926 17082 17472 17616 17784 17836 17856 17983 18031 18104 18228 18396 18848 19084 19152 19344 19418 19551 19747 19929 20367 20384 20552 20748 20832 20919 21024 21204 21266 21462 21952 22192 22344 22568 22754 22776 22932 22971 23121 23488 23712 24206 24304 24528 24696 24738 24966 25039 25389 25536 25792 26068 26208 26424 26572 26754 26791 27156 27342 27664 27892 28224 28272 28616 28626 28861 29016 29127 29419 29792 30368 30576 30628 30828 31122 31248 31682 31899 32193 32704 32928 32984 33288 33397 33516 33852 34131 34164 35232 35568 35672 35966 36062 36208 36309 36456 36792 37107 37696 38168 38304 38688 38836 39102 39494 39858 40131 40734 40768 41104 41496 41664 41838 42048 42408 42532 42924 42939 42997 44384 44688 45136 45508 45552 45864 45942 46242 46501 47424 47523 48412 48608 48811 49056 49392 49476 49932 50078 50778 52136 52416 52848 53144 53508 53582 53599 53949 54093 54312 54684 55328 55784 56544 57232 57252 57722 58032 58254 58653 58838 59241 59584 59787 60736 61152 61256 61656 62244 62496 62757 63364 63798 64386 65856 65968 66576 66794 67032 67704 67963 68262 68328 68913 70464 71136 71344 71932 72124 72416 72618 72912 73584 74214 75117 76336 76608 77376 77672 78204 78988 79639 79716 80262 80373 81468 82208 82992 83676 84721 84816 85064 85848 85878 85994 86583 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16929340064 17202393936 17231649708 17349674706 17909341632 18158082488 18231596992 18405467808 18557161224 19045507572 19693313952 19828199664 20103591326 20427842799 20510546616 20752094272 21208184256 21353445792 21650021428 21766294368 22219758834 22936525248 22975532944 23132899608 23346106056 23440624704 24742881632 25141960368 25394010096 25847474562 26437599552 26681264064 27237123732 27347395488 27608201712 27835741836 29220504768 29539970928 29626345112 30155386989 30843866144 31128141408 31812276384 32475032142 33329638251 33522613824 33858680128 34404787872 34463299416 34699349412 36316164976 36810935616 37114322448 38091015144 39386627904 39656399328 40207182652 40855685598 41021093232 42706891584 43300042856 43532588736 44439517668 45951065888 46265799216 46692212112 48712548213 49485763264 50283920736 50788020192 51694949124 54474247464 54694790976 55216403424 55671483672 59079941856 59252690224 60310773978 61687732288 62256282816 63624552768 64950064284 66659276502 68809575744 68926598832 69398698824 70362569641 72632329952 74228644896 76182030288 79312798656 80414365304 81711371196 82042186464 86600085712 88879035336 90466160967 91902131776 92531598432 93384424224 97425096426 100567841472 101576040384 103389898248 108948494928 110432806848 111342967344 118159883712 118505380448 120621547956 129900128568 133318553004 137853197664 138797397648 140725139282 145264659904 148457289792 152364060576 160828730608 163422742392 164084372928 173200171424 177758070672 180932321934 185063196864 186768848448 194850192852 206779796496 211087708923 217896989856 222685934688 237010760896 241243095912 259800257136 266637106008 275706395328 277594795296 281450278564 304728121152 321657461216 326845484784 346400342848 355516141344 361864643868 389700385704 413559592992 422175417846 435793979712 445371869376 482486191824 519600514272 533274212016 555189590592 562900557128 633263126769 643314922432 653690969568 711032282688 723729287736 779400771408 827119185984 844350835692 964972383648 1039201028544 1066548424032 1125801114256 1266526253538 1307381939136 1447458575472 1558801542816 1688701671384 1929944767296 2133096848064 2251602228512 2533052507076 2894917150944 3117603085632 3377403342768 4503204457024 5066105014152 5789834301888 6754806685536 10132210028304 13509613371072 20264420056608 40528840113216
- Sum of all divisors σ(n): 161136754688000
- Sum of proper divisors (its aliquot sum) s(n): 120607914574784
- 40528840113216 is an abundant number, because the sum of its proper divisors (120607914574784) is greater than itself. Its abundance is 80079074461568
Bases of 40528840113216
- Binary: 10010011011100010110110001111000111100010000002
- Hexadecimal: 0x24DC5B1E3C40
- Base-36: ED6OWZ9S0
Squares and roots of 40528840113216
- 40528840113216 squared (405288401132162) is 1642586880922626311697862656
- 40528840113216 cubed (405288401132163) is 66572141068979290477128864432184258461696
-
The
square root of 40528840113216 is 6366226.5207276439 -
The
cube root of 40528840113216 is 34349.5768704485
Scales and comparisons
How big is 40528840113216?- 40,528,840,113,216 seconds is equal to 1,288,691 years, 39 weeks, 14 hours, 33 minutes, 36 seconds.
-
To count from 1 to 40,528,840,113,216 would take you about three million, two hundred twenty-one thousand, seven hundred twenty-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 40528840113216 cubic inches would be around 2862.5 feet tall.
Recreational maths with 40528840113216
- 40528840113216 backwards is 61231104882504
- The number of decimal digits it has is: 14
- The sum of 40528840113216's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 40528840113216 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
APA style:
Numbermatics. (2024). Number 40528840113216 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/40528840113216/
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Numbermatics. 2024. "Number 40528840113216 - Facts about the integer". https://numbermatics.com/n/40528840113216/
The information we have on file for 40528840113216 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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