40135772106864
40,135,772,106,864 is an even composite number composed of six prime numbers multiplied together.
What does the number 40135772106864 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2700 divisors.
40135772106864 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, seven hundred divisors.
Prime factorization of 40135772106864:
24 × 38 × 74 × 172 × 19 × 29
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 17 × 17 × 19 × 29)See below for interesting mathematical facts about the number 40135772106864 from the Numbermatics database.
Names of 40135772106864
- Cardinal: 40135772106864 can be written as Forty trillion, one hundred thirty-five billion, seven hundred seventy-two million, one hundred six thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 4.0135772106864 × 1013
Factors of 40135772106864
Divisors of 40135772106864
- Number of divisors d(n): 2700
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 27 28 29 34 36 38 42 48 49 51 54 56 57 58 63 68 72 76 81 84 87 98 102 108 112 114 116 119 126 133 136 144 147 152 153 162 168 171 174 189 196 203 204 216 228 232 238 243 252 261 266 272 289 294 304 306 323 324 336 342 343 348 357 378 392 399 406 408 432 441 456 459 464 476 486 493 504 513 522 532 551 567 578 588 609 612 646 648 684 686 696 714 729 756 783 784 798 812 816 833 867 882 912 918 931 952 969 972 986 1008 1026 1029 1044 1064 1071 1102 1134 1156 1176 1197 1218 1224 1292 1296 1323 1368 1372 1377 1392 1421 1428 1458 1479 1512 1539 1566 1596 1624 1653 1666 1701 1734 1764 1827 1836 1862 1904 1938 1944 1972 2023 2052 2058 2088 2128 2142 2187 2204 2261 2268 2312 2349 2352 2394 2401 2436 2448 2499 2584 2601 2646 2736 2744 2754 2793 2842 2856 2907 2916 2958 3024 3078 3087 3132 3192 3213 3248 3306 3332 3402 3451 3468 3528 3591 3654 3672 3724 3857 3876 3888 3944 3969 4046 4104 4116 4131 4176 4263 4284 4374 4408 4437 4522 4536 4617 4624 4698 4788 4802 4872 4959 4998 5103 5168 5202 5292 5481 5488 5491 5508 5586 5684 5712 5814 5831 5832 5916 6069 6156 6174 6264 6384 6426 6517 6561 6612 6664 6783 6804 6902 6936 7047 7056 7182 7203 7308 7344 7448 7497 7714 7752 7803 7888 7938 8092 8208 8232 8262 8379 8381 8526 8568 8721 8748 8816 8874 9044 9072 9234 9261 9367 9396 9576 9604 9639 9744 9918 9947 9996 10206 10353 10404 10584 10773 10962 10982 11016 11172 11368 11571 11628 11662 11664 11832 11907 12138 12312 12348 12393 12528 12789 12852 13034 13122 13224 13311 13328 13566 13608 13804 13851 13872 14094 14161 14364 14406 14616 14877 14896 14994 15309 15428 15504 15606 15827 15876 16184 16443 16464 16473 16524 16758 16762 17052 17136 17442 17493 17496 17748 18088 18207 18468 18522 18734 18792 19152 19208 19278 19551 19836 19894 19992 20349 20412 20706 20808 21141 21168 21546 21609 21924 21964 22032 22344 22491 22736 23142 23256 23324 23409 23664 23814 24157 24276 24624 24696 24786 25137 25143 25578 25704 26068 26163 26244 26448 26622 26999 27132 27216 27608 27702 27783 28101 28188 28322 28728 28812 28917 29232 29754 29841 29988 30618 30856 31059 31212 31654 31752 32319 32368 32886 32946 33048 33516 33524 34104 34713 34884 34986 34992 35496 35721 36176 36414 36936 37044 37179 37468 37584 38367 38416 38437 38556 39102 39672 39788 39933 39984 40698 40817 40824 41412 41553 41616 42282 42483 43092 43218 43848 43928 44631 44688 44982 45619 45927 46284 46512 46648 46818 47481 47628 48314 48552 49329 49392 49419 49572 50274 50286 51156 51408 52136 52326 52479 52488 53244 53998 54264 54621 55216 55404 55566 56202 56376 56644 57456 57624 57834 58653 58667 59508 59682 59976 61047 61236 61712 62118 62424 63308 63423 63504 64638 64827 65569 65772 65892 66096 67032 67048 67473 68208 69426 69629 69768 69972 70227 70992 71442 72471 72828 73872 74088 74358 74936 75411 75429 76734 76874 77112 78204 78489 79344 79576 79866 80997 81396 81634 81648 82824 83106 83349 84303 84564 84966 86184 86436 86751 87696 87856 89262 89523 89964 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13806595152 14053141494 14122368792 14370129648 14573628216 14626739106 14669507349 15168470184 15430900464 15532419546 16060733136 16395331743 16476096924 16716273264 16765151256 17064528957 17086322736 17359763022 17696548548 17751336624 18210422916 18351976272 18737521992 18860795163 19222113078 19502318808 19559343132 19839729168 20352825612 20645973306 20709892728 21079712241 21555194472 21860442324 21968129232 22752705276 23146350696 23595398064 24091099704 24280563888 24714145386 25147726884 25629484104 26079124176 26544822822 27137100816 27527964408 28106282988 28244737584 28833169617 29147256432 29253478212 29339014698 30336940368 30968959959 31064839092 32790663486 32952193848 33530302512 34129057914 34719526044 35393097096 36420845832 37475043984 37721590326 38444226156 39004637616 39118686264 39817234233 40705651224 41291946612 41419785456 42159424482 43110388944 43720884648 44008522047 45505410552 46292701392 48182199408 49185995229 49428290772 50295453768 51193586871 51258968208 53089645644 55055928816 56212565976 57666339234 58506956424 58678029396 61937919918 62129678184 65581326972 65904387696 68258115828 69439052088 70786194192 72841691664 75443180652 76888452312 78237372528 79634468466 81411302448 82583893224 84318848964 86499508851 87441769296 88017044094 91010821104 92906879877 98371990458 98856581544 100590907536 102387173742 106179291288 112425131952 115332678468 117013912848 117356058792 119451702699 123875839836 124259356368 131162653944 132025566141 136516231656 138878104176 147557985687 150886361304 153776904624 159268936932 165167786448 168637697928 172999017702 176034088188 185813759754 196743980916 197713163088 204774347484 212358582576 230665356936 234712117584 238903405398 247751679672 262325307888 264051132282 273032463312 278720639631 295115971374 301772722608 318537873864 337275395856 345998035404 352068176376 358355108097 371627519508 393487961832 409548694968 461330713872 477806810796 495503359344 528102264564 557441279262 590231942748 637075747728 691996070808 704136352752 716710216194 743255039016 786975923664 819097389936 836161918893 955613621592 1056204529128 1114882558524 1180463885496 1383992141616 1433420432388 1486510078032 1672323837786 1911227243184 2112409058256 2229765117048 2360927770992 2508485756679 2866840864776 3344647675572 4459530234096 5016971513358 5733681729552 6689295351144 10033943026716 13378590702288 20067886053432 40135772106864
- Sum of all divisors σ(n): 157399613038200
- Sum of proper divisors (its aliquot sum) s(n): 117263840931336
- 40135772106864 is an abundant number, because the sum of its proper divisors (117263840931336) is greater than itself. Its abundance is 77128068824472
Bases of 40135772106864
- Binary: 10010010000000110101100111000001110000011100002
- Hexadecimal: 0x2480D6707070
- Base-36: E864AFR00
Squares and roots of 40135772106864
- 40135772106864 squared (401357721068642) is 1610880202614122289435914496
- 40135772106864 cubed (401357721068643) is 64653920703579318161073437161230478700544
-
The
square root of 40135772106864 is 6335279.9548926013 -
The
cube root of 40135772106864 is 34238.1697417779
Scales and comparisons
How big is 40135772106864?- 40,135,772,106,864 seconds is equal to 1,276,193 years, 21 weeks, 9 hours, 14 minutes, 24 seconds.
-
To count from 1 to 40,135,772,106,864 would take you about three million, one hundred ninety thousand, four hundred eighty-three 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 40135772106864 cubic inches would be around 2853.2 feet tall.
Recreational maths with 40135772106864
- 40135772106864 backwards is 46860127753104
- 40135772106864 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40135772106864's digits is 54
- More coming soon!
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"Number 40135772106864 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 40135772106864 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/40135772106864/
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The information we have on file for 40135772106864 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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