33004138920508690368
33,004,138,920,508,690,368 is an even composite number composed of six prime numbers multiplied together.
What does the number 33004138920508690368 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 224 divisors.
33004138920508690368 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 33004138920508690368:
26 × 3 × 7 × 31 × 31727 × 24967694131
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 31 × 31727 × 24967694131)See below for interesting mathematical facts about the number 33004138920508690368 from the Numbermatics database.
Names of 33004138920508690368
- Cardinal: 33004138920508690368 can be written as Thirty-three quintillion, four quadrillion, one hundred thirty-eight trillion, nine hundred twenty billion, five hundred eight million, six hundred ninety thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 3.3004138920508690368 × 1019
Factors of 33004138920508690368
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 24967725901
Divisors of 33004138920508690368
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5952 6944 10416 13888 20832 31727 41664 63454 95181 126908 190362 222089 253816 380724 444178 507632 666267 761448 888356 983537 1015264 1332534 1522896 1776712 1967074 2030528 2665068 2950611 3045792 3553424 3934148 5330136 5901222 6091584 6884759 7106848 7868296 10660272 11802444 13769518 14213696 15736592 20654277 21320544 23604888 27539036 31473184 41308554 42641088 47209776 55078072 62946368 82617108 94419552 110156144 165234216 188839104 220312288 330468432 440624576 660936864 1321873728 24967694131 49935388262 74903082393 99870776524 149806164786 174773858917 199741553048 299612329572 349547717834 399483106096 524321576751 599224659144 699095435668 773998518061 798966212192 1048643153502 1198449318288 1398190871336 1547997036122 1597932424384 2097286307004 2321995554183 2396898636576 2796381742672 3095994072244 4194572614008 4643991108366 4793797273152 5417989626427 5592763485344 6191988144488 8389145228016 9287982216732 10835979252854 11185526970688 12383976288976 16253968879281 16778290456032 18575964433464 21671958505708 24767952577952 32507937758562 33556580912064 37151928866928 43343917011416 49535905155904 65015875517124 74303857733856 86687834022832 130031751034248 148607715467712 173375668045664 260063502068496 346751336091328 520127004136992 792150031694237 1040254008273984 1584300063388474 2376450095082711 3168600126776948 4752900190165422 5545050221859659 6337200253553896 9505800380330844 11090100443719318 12674400507107792 16635150665578977 19011600760661688 22180200887438636 24556650982521347 25348801014215584 33270301331157954 38023201521323376 44360401774877272 49113301965042694 50697602028431168 66540602662315908 73669952947564041 76046403042646752 88720803549754544 98226603930085388 133081205324631816 147339905895128082 152092806085293504 171896556877649429 177441607099509088 196453207860170776 266162410649263632 294679811790256164 343793113755298858 354883214199018176 392906415720341552 515689670632948287 532324821298527264 589359623580512328 687586227510597716 785812831440683104 1031379341265896574 1064649642597054528 1178719247161024656 1375172455021195432 1571625662881366208 2062758682531793148 2357438494322049312 2750344910042390864 4125517365063586296 4714876988644098624 5500689820084781728 8251034730127172592 11001379640169563456 16502069460254345184 33004138920508690368
- Sum of all divisors σ(n): 103020774324584644608
- Sum of proper divisors (its aliquot sum) s(n): 70016635404075954240
- 33004138920508690368 is an abundant number, because the sum of its proper divisors (70016635404075954240) is greater than itself. Its abundance is 37012496483567263872
Bases of 33004138920508690368
- Binary: 111001010000001100100000101111100000110101001000010001111110000002
- Hexadecimal: 0x1CA06417C1A908FC0
- Base-36: 6YQZYTNRCBA2O
Squares and roots of 33004138920508690368
- 33004138920508690368 squared (330041389205086903682) is 1089273185884236541545734611010495975424
- 33004138920508690368 cubed (330041389205086903683) is 35950523549308428633095761326960517779099867951680953516032
-
The
square root of 33004138920508690368 is 5744922882.0332036177 -
The
cube root of 33004138920508690368 is 3207668.4226689307
Scales and comparisons
How big is 33004138920508690368?- 33,004,138,920,508,690,368 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 33,004,138,920,508,690,368 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 33004138920508690368 cubic inches would be around 267305.7 feet tall.
Recreational maths with 33004138920508690368
- 33004138920508690368 backwards is 86309680502983140033
- The number of decimal digits it has is: 20
- The sum of 33004138920508690368's digits is 78
- More coming soon!
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