38646952314399
38,646,952,314,399 is an odd composite number composed of seven prime numbers multiplied together.
38646952314399 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 38646952314399:
34 × 112 × 13 × 43 × 67 × 127 × 829
(3 × 3 × 3 × 3 × 11 × 11 × 13 × 43 × 67 × 127 × 829)See below for interesting mathematical facts about the number 38646952314399 from the Numbermatics database.
Names of 38646952314399
- Cardinal: 38646952314399 can be written as Thirty-eight trillion, six hundred forty-six billion, nine hundred fifty-two million, three hundred fourteen thousand, three hundred ninety-nine.
Scientific notation
- Scientific notation: 3.8646952314399 × 1013
Factors of 38646952314399
Divisors of 38646952314399
- Number of divisors d(n): 480
-
Complete list of divisors:
1 3 9 11 13 27 33 39 43 67 81 99 117 121 127 129 143 201 297 351 363 381 387 429 473 559 603 737 829 871 891 1053 1089 1143 1161 1287 1397 1419 1573 1651 1677 1809 2211 2487 2613 2881 3267 3429 3483 3861 4191 4257 4719 4953 5031 5203 5427 5461 6149 6633 7461 7839 8107 8509 8643 9119 9581 9801 10287 10777 11583 12573 12771 14157 14859 15093 15367 15609 16383 18161 18447 19899 22383 23517 24321 25527 25929 27357 28743 31691 32331 35647 37453 37719 38313 42471 44577 45279 46101 46827 49149 54483 55341 55543 59697 60071 67149 67639 70551 70993 72963 76581 77787 82071 86229 93599 95073 96993 100309 105283 105391 106941 110617 112359 113157 118547 127413 133731 138303 140481 147447 163449 166023 166629 180213 199771 202917 212979 218889 229743 233361 246213 258687 280797 285219 290979 300927 315849 316173 320823 331851 337077 348601 355641 365887 392117 411983 414909 421443 442341 463411 490347 498069 499887 540639 599313 608751 610973 638937 656667 660781 689229 722059 738639 776061 780923 842391 855657 872937 902781 947547 948519 962469 995553 1011231 1029589 1045803 1066923 1097661 1158113 1176351 1216787 1235949 1244727 1304017 1368679 1390233 1471041 1499661 1621917 1797939 1826253 1832919 1916811 1982343 2166177 2342769 2388349 2527173 2566971 2708343 2842641 2845557 2887407 2986659 3033693 3088767 3137409 3200769 3292983 3474339 3529053 3650361 3707847 3912051 4024757 4106037 4170699 4313287 4498983 4527169 4531813 4756531 4865751 5097521 5393817 5478759 5498757 5750433 5947029 6498531 6720703 7028307 7053961 7165047 7581519 7942649 8125029 8527923 8536671 8590153 8959977 9266301 9412227 9602307 9878949 10423017 10587159 10951083 11123541 11736153 12074271 12318111 12512097 12739243 12939861 13384657 13581507 13595439 14269593 15055469 15292563 16181451 16496271 17841087 19495593 20162109 21084921 21161883 21495141 23827947 25770459 26271839 27798903 28236681 29636847 31048537 31269051 31761477 32853249 33370623 35208459 36222813 36954333 37536291 38217729 38819583 40153971 40744521 40786317 42808779 44272327 45166407 45877689 49488813 49798859 52321841 53523261 56072731 58486779 58853197 60486327 63254763 63485649 64485423 71483841 77311377 77593571 78815517 83396709 87369139 91701493 93145611 93807153 98559747 105625377 108668439 110862999 114653187 116458749 120461913 122233563 122358951 128426337 132816981 135499221 137633067 149396577 156965523 165610159 168218193 176559591 181458981 190456947 193456269 214451523 231934131 232780713 236446551 262107417 275104479 279436833 288990229 303320323 326005317 341533907 343959561 349376247 361385739 366700689 367076853 385279011 398450943 406497663 412899201 448189731 470896569 496830477 504654579 529678773 544376943 547787449 571370841 575540251 643354569 647385167 695802393 698342139 709339653 786322251 825313437 838310499 853529281 866970687 909960969 1008716423 1024601721 1031878683 1084157217 1195352829 1219492989 1344569193 1412689707 1490491431 1513963737 1589036319 1643362347 1726620753 1942155501 2095026417 2128018959 2358966753 2475940311 2514931497 2560587843 2600912061 2729882907 3026149269 3073805163 3336523553 3586058487 3756872977 3943164199 4033707579 4238069121 4471474293 4541891211 4767108957 4930087041 5179862259 5826466503 6285079251 7076900259 7121236837 7427820933 7681763529 7802736183 8189648721 9078447807 9221415489 10009570659 11095880653 11270618931 11829492597 13414422879 14790261123 15539586777 17479399509 21363710511 23045290587 23408208549 24568946163 27235343421 27664246467 30028711977 33287641959 33811856793 35488477791 36701759083 43374806189 44370783369 46618760331 52438198527 64091131533 69135871761 81706030263 90086135931 99862925877 101435570379 106465433373 110105277249 130124418567 192273394599 270258407793 299588777631 304306711137 319396300119 330315831747 390373255701 477122868079 576820183797 898766332893 990947495241 1171119767103 1431368604237 2972842485723 3513359301309 4294105812711 12882317438133 38646952314399
- Sum of all divisors σ(n): 71616764764160
- Sum of proper divisors (its aliquot sum) s(n): 32969812449761
- 38646952314399 is a deficient number, because the sum of its proper divisors (32969812449761) is less than itself. Its deficiency is 5677139864638
Bases of 38646952314399
- Binary: 10001100100110001100011101110101000110000111112
- Hexadecimal: 0x232631DD461F
- Base-36: DP65XKMXR
Squares and roots of 38646952314399
- 38646952314399 squared (386469523143992) is 1493586923191430222542731201
- 38646952314399 cubed (386469523143993) is 57722582597989125686420721211161498863199
-
The
square root of 38646952314399 is 6216667.2996388509 -
The
cube root of 38646952314399 is 33809.4742281967
Scales and comparisons
How big is 38646952314399?- 38,646,952,314,399 seconds is equal to 1,228,853 years, 28 weeks, 19 hours, 46 minutes, 39 seconds.
-
To count from 1 to 38,646,952,314,399 would take you about three million, seventy-two thousand, one hundred thirty-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 38646952314399 cubic inches would be around 2817.5 feet tall.
Recreational maths with 38646952314399
- 38646952314399 backwards is 99341325964683
- The number of decimal digits it has is: 14
- The sum of 38646952314399's digits is 72
- More coming soon!
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