3948214407168000
3,948,214,407,168,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3948214407168000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3072 divisors.
3948214407168000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 3948214407168000:
215 × 3 × 53 × 17 × 19 × 53 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 19 × 53 × 137 × 137)See below for interesting mathematical facts about the number 3948214407168000 from the Numbermatics database.
Names of 3948214407168000
- Cardinal: 3948214407168000 can be written as Three quadrillion, nine hundred forty-eight trillion, two hundred fourteen billion, four hundred seven million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 3.948214407168 × 1015
Factors of 3948214407168000
Divisors of 3948214407168000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 25 30 32 34 38 40 48 50 51 53 57 60 64 68 75 76 80 85 95 96 100 102 106 114 120 125 128 136 137 150 152 159 160 170 190 192 200 204 212 228 240 250 255 256 265 272 274 285 300 304 318 320 323 340 375 380 384 400 408 411 424 425 456 475 480 500 510 512 530 544 548 570 600 608 636 640 646 680 685 750 760 768 795 800 816 822 848 850 901 912 950 960 969 1000 1007 1020 1024 1060 1088 1096 1140 1200 1216 1272 1275 1280 1292 1325 1360 1370 1425 1500 1520 1536 1590 1600 1615 1632 1644 1696 1700 1802 1824 1900 1920 1938 2000 2014 2040 2048 2055 2120 2125 2176 2192 2280 2329 2375 2400 2432 2544 2550 2560 2584 2603 2650 2703 2720 2740 2850 3000 3021 3040 3072 3180 3200 3230 3264 3288 3392 3400 3425 3604 3648 3800 3840 3876 3975 4000 4028 4080 4096 4110 4240 4250 4352 4384 4505 4560 4658 4750 4800 4845 4864 5035 5088 5100 5120 5168 5206 5300 5406 5440 5480 5700 6000 6042 6080 6144 6360 6375 6400 6460 6528 6576 6625 6784 6800 6850 6987 7125 7208 7261 7296 7600 7680 7752 7809 7950 8000 8056 8075 8160 8192 8220 8480 8500 8704 8768 9010 9120 9316 9500 9600 9690 9728 10070 10176 10200 10240 10275 10336 10412 10600 10812 10880 10960 11400 11645 12000 12084 12160 12288 12720 12750 12800 12920 13015 13056 13152 13250 13515 13568 13600 13700 13974 14250 14416 14522 14592 15105 15200 15360 15504 15618 15900 16000 16112 16150 16320 16384 16440 16960 17000 17119 17125 17408 17536 18020 18240 18632 18769 19000 19200 19380 19456 19875 20140 20352 20400 20480 20550 20672 20824 21200 21624 21760 21783 21920 22525 22800 23290 24000 24168 24225 24320 24576 25175 25440 25500 25600 25840 26030 26112 26304 26500 27030 27136 27200 27400 27948 28500 28832 29044 29184 30210 30400 30720 31008 31236 31800 32000 32224 32300 32640 32768 32880 33920 34000 34238 34250 34816 34935 35072 36040 36305 36480 37264 37538 38000 38400 38760 38912 39045 39750 40280 40375 40704 40800 40960 41100 41344 41648 42400 43248 43520 43566 43840 44251 45050 45600 46580 48000 48336 48450 48640 49152 50350 50880 51000 51200 51357 51375 51680 52060 52224 52608 53000 54060 54272 54400 54800 55896 56307 57000 57664 58088 58225 58368 60420 60800 61440 62016 62472 63600 64000 64448 64600 65075 65280 65760 67575 67840 68000 68476 68500 69632 69870 70144 72080 72610 72960 74528 75076 75525 76000 76800 77520 77824 78090 79500 80560 80750 81408 81600 81920 82200 82688 83296 84800 85595 86496 87040 87132 87680 88502 90100 91200 93160 93845 96000 96672 96900 97280 98304 100700 101760 102000 102400 102714 102750 103360 104120 104448 105216 106000 108120 108544 108800 108915 109600 111792 112614 112625 114000 115328 116176 116450 116736 120840 121125 121600 122880 123437 124032 124944 125875 127200 128000 128896 129200 130150 130560 131520 132753 135150 135680 136000 136952 137000 137959 139264 139740 140288 144160 145220 145920 149056 150152 151050 152000 153600 155040 155648 156180 159000 161120 161500 162816 163200 163840 164400 165376 166592 169600 171190 172992 174080 174264 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3948214407168 4074524672000 4112723340800 4156015165440 4329182464000 4382035968000 4644958126080 4655913216000 4803180544000 4838498048000 4935268008960 4966307430400 5140904176000 5195018956800 5264285876224 5763816652800 5806197657600 6111787008000 6169085011200 6207884288000 6493773696000 6580357345280 6926691942400 7204770816000 7257747072000 7449461145600 7711356264000 7741596876800 7896428814336 8225446681600 8312030330880 8658364928000 9289916252160 9311826432000 9606361088000 9676996096000 9870536017920 10281808352000 10390037913600 10528571752448 11612395315200 12223574016000 12338170022400 12415768576000 12987547392000 13160714690560 13853383884800 14409541632000 14515494144000 14898922291200 15422712528000 15483193753600 15792857628672 16450893363200 17316729856000 18623652864000 19353992192000 19741072035840 20563616704000 20780075827200 23224790630400 24676340044800 24831537152000 25975094784000 26321429381120 28819083264000 29030988288000 30845425056000 31585715257344 32901786726400 34633459712000 37247305728000 38707984384000 39482144071680 41127233408000 41560151654400 46449581260800 49352680089600 51950189568000 52642858762240 58061976576000 61690850112000 65803573452800 69266919424000 74494611456000 77415968768000 78964288143360 82254466816000 98705360179200 103900379136000 116123953152000 123381700224000 131607146905600 157928576286720 164508933632000 197410720358400 207800758272000 232247906304000 246763400448000 263214293811200 329017867264000 394821440716800 493526800896000 658035734528000 789642881433600 987053601792000 1316071469056000 1974107203584000 3948214407168000
- Sum of all divisors σ(n): 15030615951187200
- Sum of proper divisors (its aliquot sum) s(n): 11082401544019200
- 3948214407168000 is an abundant number, because the sum of its proper divisors (11082401544019200) is greater than itself. Its abundance is 7134187136851200
Bases of 3948214407168000
- Binary: 11100000011011100001010011010011110010000000000000002
- Hexadecimal: 0xE06E14D3C8000
- Base-36: 12VIWNQ5HXC
Squares and roots of 3948214407168000
- 3948214407168000 squared (39482144071680002) is 15588397004968961689780224000000
- 3948214407168000 cubed (39482144071680003) is 61546333639672955828256130624370245632000000000
-
The
square root of 3948214407168000 is 62834818.4302938843 -
The
cube root of 3948214407168000 is 158052.0899547671
Scales and comparisons
How big is 3948214407168000?- 3,948,214,407,168,000 seconds is equal to 125,541,005 years, 26 weeks, 6 days, 21 hours, 20 minutes.
-
To count from 1 to 3,948,214,407,168,000 would take you about three hundred seventy-six million, six hundred twenty-three thousand and sixteen 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 3948214407168000 cubic inches would be around 13171 feet tall.
Recreational maths with 3948214407168000
- 3948214407168000 backwards is 0008617044128493
- 3948214407168000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3948214407168000's digits is 57
- More coming soon!
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"Number 3948214407168000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 3948214407168000 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/3948214407168000/
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The information we have on file for 3948214407168000 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!
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