10400134938667200
10,400,134,938,667,200 is an even composite number composed of four prime numbers multiplied together.
10400134938667200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 10400134938667200:
26 × 33 × 52 × 240743864321
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 240743864321)See below for interesting mathematical facts about the number 10400134938667200 from the Numbermatics database.
Names of 10400134938667200
- Cardinal: 10400134938667200 can be written as Ten quadrillion, four hundred trillion, one hundred thirty-four billion, nine hundred thirty-eight million, six hundred sixty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.04001349386672 × 1016
Factors of 10400134938667200
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 240743864331
Divisors of 10400134938667200
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 135 144 150 160 180 192 200 216 225 240 270 288 300 320 360 400 432 450 480 540 576 600 675 720 800 864 900 960 1080 1200 1350 1440 1600 1728 1800 2160 2400 2700 2880 3600 4320 4800 5400 7200 8640 10800 14400 21600 43200 240743864321 481487728642 722231592963 962975457284 1203719321605 1444463185926 1925950914568 2166694778889 2407438643210 2888926371852 3611157964815 3851901829136 4333389557778 4814877286420 5777852743704 6018596608025 6500084336667 7222315929630 7703803658272 8666779115556 9629754572840 10833473894445 11555705487408 12037193216050 13000168673334 14444631859260 15407607316544 17333558231112 18055789824075 19259509145680 21666947788890 23111410974816 24074386432100 26000337346668 28889263718520 32500421683335 34667116462224 36111579648150 38519018291360 43333895577780 46222821949632 48148772864200 52000674693336 54167369472225 57778527437040 65000843366670 69334232924448 72223159296300 77038036582720 86667791155560 96297545728400 104001349386672 108334738944450 115557054874080 130001686733340 138668465848896 144446318592600 162502108416675 173335582311120 192595091456800 208002698773344 216669477888900 231114109748160 260003373466680 288892637185200 325004216833350 346671164622240 385190182913600 416005397546688 433338955777800 520006746933360 577785274370400 650008433666700 693342329244480 866677911555600 1040013493866720 1155570548740800 1300016867333400 1733355823111200 2080026987733440 2600033734666800 3466711646222400 5200067469333600 10400134938667200
- Sum of all divisors σ(n): 37912343753428560
- Sum of proper divisors (its aliquot sum) s(n): 27512208814761360
- 10400134938667200 is an abundant number, because the sum of its proper divisors (27512208814761360) is greater than itself. Its abundance is 17112073876094160
Bases of 10400134938667200
- Binary: 1001001111001011011110000111001010001010101000110000002
- Hexadecimal: 0x24F2DE1CA2A8C0
- Base-36: 2UEJG16YEO0
Squares and roots of 10400134938667200
- 10400134938667200 squared (104001349386672002) is 108162806742486203905712355840000
- 10400134938667200 cubed (104001349386672003) is 1124907785466838962881377924995763621736448000000
-
The
square root of 10400134938667200 is 101981051.8609569941 -
The
cube root of 10400134938667200 is 218279.5206536579
Scales and comparisons
How big is 10400134938667200?- 10,400,134,938,667,200 seconds is equal to 330,692,121 years, 16 weeks, 4 days, 12 hours.
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To count from 1 to 10,400,134,938,667,200 would take you about nine hundred ninety-two million, seventy-six thousand, three hundred sixty-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 10400134938667200 cubic inches would be around 18190 feet tall.
Recreational maths with 10400134938667200
- 10400134938667200 backwards is 00276683943100401
- 10400134938667200 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 10400134938667200's digits is 54
- More coming soon!
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