40535901348557472
40,535,901,348,557,472 is an even composite number composed of five prime numbers multiplied together.
40535901348557472 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 40535901348557472:
25 × 32 × 112 × 13 × 89478485353
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 13 × 89478485353)See below for interesting mathematical facts about the number 40535901348557472 from the Numbermatics database.
Names of 40535901348557472
- Cardinal: 40535901348557472 can be written as Forty quadrillion, five hundred thirty-five trillion, nine hundred one billion, three hundred forty-eight million, five hundred fifty-seven thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 4.0535901348557472 × 1016
Factors of 40535901348557472
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 89478485382
Divisors of 40535901348557472
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 121 132 143 144 156 176 198 208 234 242 264 286 288 312 352 363 396 416 429 468 484 528 572 624 726 792 858 936 968 1056 1089 1144 1248 1287 1452 1573 1584 1716 1872 1936 2178 2288 2574 2904 3146 3168 3432 3744 3872 4356 4576 4719 5148 5808 6292 6864 8712 9438 10296 11616 12584 13728 14157 17424 18876 20592 25168 28314 34848 37752 41184 50336 56628 75504 113256 151008 226512 453024 89478485353 178956970706 268435456059 357913941412 536870912118 715827882824 805306368177 984263338883 1073741824236 1163220309589 1431655765648 1610612736354 1968526677766 2147483648472 2326440619178 2863311531296 2952790016649 3221225472708 3489660928767 3937053355532 4294967296944 4652881238356 5905580033298 6442450945416 6979321857534 7874106711064 8589934593888 8858370049947 9305762476712 10468982786301 10826896727713 11811160066596 12795423405479 12884901890832 13958643715068 15748213422128 17716740099894 18611524953424 20937965572602 21653793455426 23622320133192 25590846810958 25769803781664 27917287430136 31496426844256 32480690183139 35433480199788 37223049906848 38386270216437 41875931145204 43307586910852 47244640266384 51181693621916 55834574860272 64961380366278 70866960399576 76772540432874 83751862290408 86615173821704 94489280532768 97442070549417 102363387243832 111669149720544 115158810649311 129922760732556 140749657460269 141733920799152 153545080865748 167503724580816 173230347643408 194884141098834 204726774487664 230317621298622 259845521465112 281499314920538 283467841598304 307090161731496 335007449161632 346460695286816 389768282197668 409453548975328 422248972380807 460635242597244 519691042930224 562998629841076 614180323462992 779536564395336 844497944761614 921270485194488 1039382085860448 1125997259682152 1228360646925984 1266746917142421 1559073128790672 1688995889523228 1842540970388976 2251994519364304 2533493834284842 3118146257581344 3377991779046456 3685081940777952 4503989038728608 5066987668569684 6755983558092912 10133975337139368 13511967116185824 20267950674278736 40535901348557472
- Sum of all divisors σ(n): 136452721638172212
- Sum of proper divisors (its aliquot sum) s(n): 95916820289614740
- 40535901348557472 is an abundant number, because the sum of its proper divisors (95916820289614740) is greater than itself. Its abundance is 55380918941057268
Bases of 40535901348557472
- Binary: 100100000000001100110000000000001000011111110010101000002
- Hexadecimal: 0x9003300087F2A0
- Base-36: B34S000Z1K0
Squares and roots of 40535901348557472
- 40535901348557472 squared (405359013485574722) is 1643159298139983477096855287030784
- 40535901348557472 cubed (405359013485574723) is 66606943209367305422200836225056222173668457218048
-
The
square root of 40535901348557472 is 201335295.8339830487 -
The
cube root of 40535901348557472 is 343515.7163401739
Scales and comparisons
How big is 40535901348557472?- 40,535,901,348,557,472 seconds is equal to 1,288,916,277 years, 5 weeks, 4 days, 13 hours, 31 minutes, 12 seconds.
-
To count from 1 to 40,535,901,348,557,472 would take you about three billion, eight hundred sixty-six million, seven hundred forty-eight thousand, eight hundred thirty-one 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 40535901348557472 cubic inches would be around 28626.3 feet tall.
Recreational maths with 40535901348557472
- 40535901348557472 backwards is 27475584310953504
- 40535901348557472 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40535901348557472's digits is 72
- More coming soon!
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