40090342735392768
40,090,342,735,392,768 is an even composite number composed of seven prime numbers multiplied together.
What does the number 40090342735392768 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1248 divisors.
40090342735392768 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 40090342735392768:
212 × 32 × 7 × 13 × 17 × 179 × 3927299
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 17 × 179 × 3927299)See below for interesting mathematical facts about the number 40090342735392768 from the Numbermatics database.
Names of 40090342735392768
- Cardinal: 40090342735392768 can be written as Forty quadrillion, ninety trillion, three hundred forty-two billion, seven hundred thirty-five million, three hundred ninety-two thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.0090342735392768 × 1016
Factors of 40090342735392768
Divisors of 40090342735392768
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 28 32 34 36 39 42 48 51 52 56 63 64 68 72 78 84 91 96 102 104 112 117 119 126 128 136 144 153 156 168 179 182 192 204 208 221 224 234 238 252 256 272 273 288 306 312 336 357 358 364 384 408 416 442 448 468 476 504 512 537 544 546 576 612 624 663 672 714 716 728 768 816 819 832 884 896 936 952 1008 1024 1071 1074 1088 1092 1152 1224 1248 1253 1326 1344 1428 1432 1456 1536 1547 1611 1632 1638 1664 1768 1792 1872 1904 1989 2016 2048 2142 2148 2176 2184 2304 2327 2448 2496 2506 2652 2688 2856 2864 2912 3043 3072 3094 3222 3264 3276 3328 3536 3584 3744 3759 3808 3978 4032 4096 4284 4296 4352 4368 4608 4641 4654 4896 4992 5012 5304 5376 5712 5728 5824 6086 6144 6188 6444 6528 6552 6656 6981 7072 7168 7488 7518 7616 7956 8064 8568 8592 8704 8736 9129 9216 9282 9308 9792 9984 10024 10608 10752 11277 11424 11456 11648 12172 12288 12376 12888 13056 13104 13312 13923 13962 14144 14336 14976 15036 15232 15912 16128 16289 17136 17184 17408 17472 18258 18432 18564 18616 19584 19968 20048 20943 21216 21301 21504 22554 22848 22912 23296 24344 24752 25776 26112 26208 26624 27387 27846 27924 28288 28672 29952 30072 30464 31824 32256 32578 34272 34368 34816 34944 36516 36864 37128 37232 39168 39559 39936 40096 41886 42432 42602 43008 45108 45696 45824 46592 48688 48867 49504 51552 52224 52416 53248 54774 55692 55848 56576 59904 60144 60928 63648 63903 64512 65156 68544 68736 69632 69888 73032 74256 74464 78336 79118 79872 80192 83772 84864 85204 86016 90216 91392 91648 93184 97376 97734 99008 103104 104448 104832 109548 111384 111696 113152 118677 119808 120288 121856 127296 127806 129024 130312 137088 137472 139776 146064 146601 148512 148928 156672 158236 159744 160384 167544 169728 170408 180432 182784 183296 186368 191709 194752 195468 198016 206208 208896 209664 219096 222768 223392 226304 237354 239616 240576 243712 254592 255612 258048 260624 274176 274944 276913 279552 292128 293202 297024 297856 313344 316472 320768 335088 339456 340816 356031 360864 365568 366592 372736 383418 389504 390936 396032 412416 419328 438192 445536 446784 452608 474708 479232 481152 487424 509184 511224 521248 548352 549888 553826 559104 584256 586404 594048 595712 626688 632944 641536 670176 678912 681632 712062 721728 731136 733184 766836 779008 781872 792064 824832 830739 838656 876384 891072 893568 905216 949416 962304 1018368 1022448 1042496 1096704 1099776 1107652 1118208 1168512 1172808 1188096 1191424 1265888 1283072 1340352 1357824 1363264 1424124 1443456 1462272 1533672 1558016 1563744 1584128 1649664 1661478 1677312 1752768 1782144 1787136 1898832 1924608 2036736 2044896 2084992 2193408 2199552 2215304 2337024 2345616 2376192 2382848 2492217 2531776 2566144 2680704 2715648 2726528 2848248 2886912 3067344 3116032 3127488 3168256 3299328 3322956 3354624 3505536 3564288 3574272 3797664 3849216 3927299 4073472 4089792 4169984 4386816 4430608 4674048 4691232 4752384 4765696 4984434 5063552 5132288 5361408 5453056 5696496 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615297788928 621440084564 627362451456 629875922816 657995383656 666572604672 669243167992 708610413168 717847420416 719858197504 731922860032 752898563991 764849334848 767661280932 777668038784 809840472192 820397051904 823413217536 860455501704 874876543632 877327178208 888763472896 932160126846 941043677184 944813884224 957129893888 999858907008 1003864751988 1013431652352 1023548374576 1076771130624 1079787296256 1087520147987 1097884290048 1147274002272 1151491921398 1166502058176 1169769570944 1230595577856 1242880169128 1259751845632 1315990767312 1333145209344 1338486335984 1398240190269 1417220826336 1435694840832 1439716395008 1463845720064 1505797127982 1529698669696 1535322561864 1555336077568 1619680944384 1646826435072 1720911003408 1749753087264 1754654356416 1777526945792 1864320253692 1882087354368 1889627768448 1914259787776 1999717814016 2007729503976 2047096749152 2153542261248 2159574592512 2175040295974 2195768580096 2294548004544 2302983842796 2333004116352 2339539141888 2461191155712 2485760338256 2519503691264 2631981534624 2666290418688 2676972671968 2796480380538 2834441652672 2871389681664 2879432790016 3011594255964 3059397339392 3070645123728 3110672155136 3239361888768 3262560443961 3293652870144 3441822006816 3499506174528 3509308712832 3555053891584 3728640507384 3779255536896 3999435628032 4015459007952 4094193498304 4307084522496 4319149185024 4350080591948 4391537160192 4589096009088 4605967685592 4666008232704 4679078283776 4971520676512 5039007382528 5263963069248 5332580837376 5353945343936 5592960761076 5668883305344 5742779363328 6023188511928 6118794678784 6141290247456 6221344310272 6478723777536 6525120887922 6587305740288 6883644013632 6999012349056 7018617425664 7457281014768 7558511073792 7998871256064 8030918015904 8188386996608 8614169044992 8638298370048 8700161183896 9178192018176 9211935371184 9332016465408 9358156567552 9787681331883 9943041353024 10078014765056 10527926138496 10665161674752 10707890687872 11185921522152 11337766610688 12046377023856 12237589357568 12282580494912 12442688620544 12957447555072 13050241775844 13174611480576 13767288027264 13998024698112 14037234851328 14914562029536 15117022147584 15997742512128 16061836031808 16376773993216 17228338089984 17400322367792 18356384036352 18423870742368 18664032930816 18716313135104 19575362663766 19886082706048 20156029530112 21055852276992 21415781375744 22371843044304 22675533221376 24092754047712 24475178715136 24565160989824 24885377241088 25914895110144 26100483551688 27534576054528 27996049396224 28074469702656 29829124059072 30234044295168 31995485024256 32123672063616 32753547986432 34800644735584 36712768072704 36847741484736 37328065861632 37432626270208 39150725327532 39772165412096 42111704553984 42831562751488 44743686088608 45351066442752 48185508095424 48950357430272 49130321979648 52200967103376 55069152109056 55992098792448 56148939405312 59658248118144 60468088590336 64247344127232 65507095972864 69601289471168 73425536145408 73695482969472 74656131723264 78301450655064 79544330824192 84223409107968 85663125502976 89487372177216 90702132885504 96371016190848 98260643959296 104401934206752 110138304218112 111984197584896 112297878810624 119316496236288 128494688254464 131014191945728 139202578942336 146851072290816 147390965938944 156602901310128 159088661648384 168446818215936 171326251005952 178974744354432 181404265771008 192742032381696 196521287918592 208803868413504 220276608436224 223968395169792 238632992472576 256989376508928 262028383891456 278405157884672 294781931877888 313205802620256 318177323296768 336893636431872 342652502011904 357949488708864 385484064763392 393042575837184 417607736827008 440553216872448 477265984945152 513978753017856 556810315769344 589563863755776 626411605240512 636354646593536 715898977417728 770968129526784 786085151674368 835215473654016 954531969890304 1027957506035712 1113620631538688 1179127727511552 1252823210481024 1431797954835456 1541936259053568 1670430947308032 1909063939780608 2227241263077376 2358255455023104 2505646420962048 2863595909670912 3083872518107136 3340861894616064 4454482526154752 5011292841924096 5727191819341824 6681723789232128 10022585683848192 13363447578464256 20045171367696384 40090342735392768
- Sum of all divisors σ(n): 151753036099392000
- Sum of proper divisors (its aliquot sum) s(n): 111662693363999232
- 40090342735392768 is an abundant number, because the sum of its proper divisors (111662693363999232) is greater than itself. Its abundance is 71572350628606464
Bases of 40090342735392768
- Binary: 100011100110110111110100010011011010101010110000000000002
- Hexadecimal: 0x8E6DF44DAAB000
- Base-36: AYQU976OE80
Squares and roots of 40090342735392768
- 40090342735392768 squared (400903427353927682) is 1607235580641259687695835226701824
- 40090342735392768 cubed (400903427353927683) is 64434625284426102666402402955579465619969862008832
-
The
square root of 40090342735392768 is 200225729.4540158943 -
The
cube root of 40090342735392768 is 342252.4689120709
Scales and comparisons
How big is 40090342735392768?- 40,090,342,735,392,768 seconds is equal to 1,274,748,891 years, 21 weeks, 3 days, 10 hours, 52 minutes, 48 seconds.
-
To count from 1 to 40,090,342,735,392,768 would take you about three billion, eight hundred twenty-four million, two hundred forty-six thousand, six hundred seventy-four 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 40090342735392768 cubic inches would be around 28521 feet tall.
Recreational maths with 40090342735392768
- 40090342735392768 backwards is 86729353724309004
- 40090342735392768 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40090342735392768's digits is 72
- More coming soon!
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"Number 40090342735392768 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 40090342735392768 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/40090342735392768/
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The information we have on file for 40090342735392768 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!
Keywords: Divisors of 40090342735392768, math, Factors of 40090342735392768, curriculum, school, college, exams, university, Prime factorization of 40090342735392768, STEM, science, technology, engineering, physics, economics, calculator, forty quadrillion, ninety trillion, three hundred forty-two billion, seven hundred thirty-five million, three hundred ninety-two thousand, seven hundred sixty-eight.