40057006506961024
40,057,006,506,961,024 is an even composite number composed of five prime numbers multiplied together.
40057006506961024 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 40057006506961024:
27 × 7 × 172 × 1492 × 1913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 17 × 17 × 149 × 149 × 191 × 191 × 191)See below for interesting mathematical facts about the number 40057006506961024 from the Numbermatics database.
Names of 40057006506961024
- Cardinal: 40057006506961024 can be written as Forty quadrillion, fifty-seven trillion, six billion, five hundred six million, nine hundred sixty-one thousand and twenty-four.
Scientific notation
- Scientific notation: 4.0057006506961024 × 1016
Factors of 40057006506961024
Divisors of 40057006506961024
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 149 191 224 238 272 289 298 382 448 476 544 578 596 764 896 952 1043 1088 1156 1192 1337 1528 1904 2023 2086 2176 2312 2384 2533 2674 3056 3247 3808 4046 4172 4624 4768 5066 5348 6112 6494 7616 8092 8344 9248 9536 10132 10696 12224 12988 15232 16184 16688 17731 18496 19072 20264 21392 22201 22729 24448 25976 28459 32368 33376 35462 36481 36992 40528 42784 43061 44402 45458 51952 55199 56918 64736 66752 70924 72962 81056 85568 86122 88804 90916 103904 110398 113836 129472 133504 141848 145924 155407 162112 171136 172244 177608 181832 199213 207808 220796 227672 255367 258944 283696 291848 301427 310814 324224 344488 355216 363664 377417 386393 398426 415616 441592 455344 483803 510734 567392 583696 602854 620177 621628 688976 710432 727328 754834 772786 796852 883184 910688 967606 1021468 1134784 1167392 1205708 1240354 1243256 1377952 1420864 1454656 1509668 1545572 1593704 1766368 1821376 1935212 2042936 2269568 2334784 2411416 2480708 2486512 2641919 2755904 2841728 2909312 3019336 3091144 3187408 3386621 3532736 3642752 3870424 4085872 4240391 4341239 4669568 4822832 4961416 4973024 5283838 5435669 5511808 6038672 6182288 6374816 6416089 6773242 6967871 7065472 7740848 8171744 8224651 8480782 8682478 9645664 9922832 9946048 10543009 10567676 10871338 12077344 12364576 12749632 12832178 13546484 13935742 15481696 16343488 16449302 16961564 17364956 19291328 19845664 19892096 21086018 21135352 21742676 24154688 24729152 25499264 25664356 27092968 27871484 29682737 30963392 32686976 32898604 33923128 34729912 38049683 38582656 39691328 42172036 42270704 43485352 44912623 48309376 48775097 49458304 51328712 54185936 55742968 57572557 59365474 61926784 65797208 67846256 69459824 72086647 73801063 76099366 79382656 84344072 84541408 86970704 89825246 92406373 97550194 102657424 108371872 111485936 115145114 118453807 118730948 131594416 135692512 138919648 144173294 147602126 152198732 168688144 169082816 173941408 179650492 184812746 195100388 205314848 216743744 222971872 230290228 236907614 237461896 263188832 271385024 277839296 288346588 295204252 304397464 337376288 338165632 347882816 359300984 369625492 390200776 410629696 433487488 445943744 460580456 473815228 474923792 504606529 526377664 542770048 555678592 576693176 590408504 608794928 646844611 674752576 695765632 718601968 739250984 780401552 809914681 821259392 829176649 891887488 921160912 947630456 949847584 1009213058 1038212779 1052755328 1153386352 1180817008 1217589856 1225472999 1293689222 1349505152 1437203936 1478501968 1560803104 1570908341 1619829362 1658353298 1842321824 1895260912 1899695168 2013714719 2018426116 2076425558 2306772704 2361634016 2435179712 2450945998 2587378444 2874407872 2957003936 3121606208 3141816682 3239658724 3316706596 3684643648 3790521824 3799390336 4027429438 4036852232 4152851116 4613545408 4723268032 4870359424 4901891996 5174756888 5669402767 5748815744 5914007872 6243212416 6283633364 6479317448 6633413192 7267489453 7369287296 7581043648 8054858876 8073704464 8305702232 8578310993 9227090816 9446536064 9803783992 10349513776 10996358387 11338805534 11828015744 12567266728 12958634896 13266826384 13768549577 14096003033 14534978906 15162087296 16109717752 16147408928 16611404464 17156621986 17649617243 19607567984 20699027552 21992716774 22677611068 25134533456 25917269792 26533652768 27537099154 28192006066 29069957812 32219435504 32294817856 33222808928 34313243972 35299234486 39215135968 41398055104 43985433548 45355222136 50269066912 51834539584 53067305536 55074198308 56384012132 58139915624 64438871008 64589635712 66445617856 68626487944 70598468972 78430271936 82796110208 87970867096 90710444272 96379847039 100538133824 103669079168 106134611072 110148396616 112768024264 116279831248 123547320701 128877742016 132891235712 137252975888 141196937944 154693704071 156860543872 175941734192 181420888544 192759694078 201076267648 220296793232 225536048528 232559662496 234065342809 247094641402 257755484032 274505951776 282393875888 300043493131 309387408142 351883468384 362841777088 385519388156 440593586464 451072097056 465119324992 468130685618 494189282804 549011903552 564787751776 600086986262 618774816284 703766936768 725683554176 771038776312 881187172928 902144194112 930238649984 936261371236 988378565608 1082855928497 1098023807104 1129575503552 1200173972524 1237549632568 1407533873536 1542077552624 1638457399663 1762374345856 1804288388224 1872522742472 1976757131216 2100304451917 2165711856994 2259151007104 2400347945048 2475099265136 2629792969207 3084155105248 3276914799326 3745045484944 3953514262432 4200608903834 4331423713988 4800695890096 4950198530272 5259585938414 6168310210496 6553829598652 7490090969888 7907028524864 8401217807668 8662847427976 9601391780192 9900397060544 10519171876828 12336620420992 13107659197304 14980181939776 15814057049728 16802435615336 17325694855952 18408550784449 19202783560384 19800794121088 21038343753656 26215318394608 29960363879552 33604871230672 34651389711904 36817101568898 38405567120768 42076687507312 44706480476519 52430636789216 67209742461344 69302779423808 73634203137796 84153375014624 89412960953038 104861273578432 134419484922688 138605558847616 147268406275592 168306750029248 178825921906076 209722547156864 268838969845376 294536812551184 312945363335633 336613500058496 357651843812152 589073625102368 625890726671266 715303687624304 1178147250204736 1251781453342532 1430607375248608 2356294500409472 2503562906685064 2861214750497216 5007125813370128 5722429500994432 10014251626740256 20028503253480512 40057006506961024
- Sum of all divisors σ(n): 98049496800568320
- Sum of proper divisors (its aliquot sum) s(n): 57992490293607296
- 40057006506961024 is an abundant number, because the sum of its proper divisors (57992490293607296) is greater than itself. Its abundance is 17935483786646272
Bases of 40057006506961024
- Binary: 100011100100111110100010100110111001110011101000100000002
- Hexadecimal: 0x8E4FA29B9CE880
- Base-36: AYF0UQWZGXS
Squares and roots of 40057006506961024
- 40057006506961024 squared (400570065069610242) is 1604563770298717817277767855128576
- 40057006506961024 cubed (400570065069610243) is 64274021387689653462941221173674583873722540621824
-
The
square root of 40057006506961024 is 200142465.5263370737 -
The
cube root of 40057006506961024 is 342157.5784756189
Scales and comparisons
How big is 40057006506961024?- 40,057,006,506,961,024 seconds is equal to 1,273,688,902 years, 24 weeks, 1 day, 5 hours, 37 minutes, 4 seconds.
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To count from 1 to 40,057,006,506,961,024 would take you about three billion, eight hundred twenty-one million, sixty-six thousand, seven hundred seven 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 40057006506961024 cubic inches would be around 28513.1 feet tall.
Recreational maths with 40057006506961024
- 40057006506961024 backwards is 42016960560075004
- The number of decimal digits it has is: 17
- The sum of 40057006506961024's digits is 55
- More coming soon!
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