166142318311424000
166,142,318,311,424,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 166142318311424000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 2520 divisors.
166142318311424000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 166142318311424000:
214 × 53 × 75 × 136
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 13 × 13 × 13 × 13 × 13 × 13)See below for interesting mathematical facts about the number 166142318311424000 from the Numbermatics database.
Names of 166142318311424000
- Cardinal: 166142318311424000 can be written as One hundred sixty-six quadrillion, one hundred forty-two trillion, three hundred eighteen billion, three hundred eleven million, four hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.66142318311424 × 1017
Factors of 166142318311424000
Divisors of 166142318311424000
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 125 128 130 140 160 169 175 182 196 200 208 224 245 250 256 260 280 320 325 338 343 350 364 392 400 416 448 455 490 500 512 520 560 637 640 650 676 686 700 728 784 800 832 845 875 896 910 980 1000 1024 1040 1120 1183 1225 1274 1280 1300 1352 1372 1400 1456 1568 1600 1625 1664 1690 1715 1750 1792 1820 1960 2000 2048 2080 2197 2240 2275 2366 2401 2450 2548 2560 2600 2704 2744 2800 2912 3136 3185 3200 3250 3328 3380 3430 3500 3584 3640 3920 4000 4096 4160 4225 4394 4459 4480 4550 4732 4802 4900 5096 5120 5200 5408 5488 5600 5824 5915 6125 6272 6370 6400 6500 6656 6760 6860 7000 7168 7280 7840 8000 8192 8281 8320 8450 8575 8788 8918 8960 9100 9464 9604 9800 10192 10240 10400 10816 10976 10985 11200 11375 11648 11830 12005 12250 12544 12740 12800 13000 13312 13520 13720 14000 14336 14560 15379 15680 15925 16000 16384 16562 16640 16807 16900 17150 17576 17836 17920 18200 18928 19208 19600 20384 20480 20800 21125 21632 21952 21970 22295 22400 22750 23296 23660 24010 24500 25088 25480 25600 26000 26624 27040 27440 28000 28561 28672 29120 29575 30758 31213 31360 31850 32000 33124 33280 33614 33800 34300 35152 35672 35840 36400 37856 38416 39200 40768 40960 41405 41600 42250 42875 43264 43904 43940 44590 44800 45500 46592 47320 48020 49000 50176 50960 51200 52000 53248 54080 54880 54925 56000 57122 57344 57967 58240 59150 60025 61516 62426 62720 63700 64000 66248 66560 67228 67600 68600 70304 71344 71680 72800 75712 76832 76895 78400 79625 81536 81920 82810 83200 84035 84500 85750 86528 87808 87880 89180 89600 91000 93184 94640 96040 98000 100352 101920 102400 104000 106496 107653 108160 109760 109850 111475 112000 114244 114688 115934 116480 118300 120050 123032 124852 125440 127400 128000 132496 133120 134456 135200 137200 140608 142688 142805 143360 145600 147875 151424 153664 153790 156065 156800 159250 163072 165620 166400 168070 169000 171500 173056 175616 175760 178360 179200 182000 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103838948944640 105958111168000 114108735104000 118673084508160 121094984192000 122886330112000 127801783316480 129798686180800 130409982976000 135626382295040 140441520128000 148341355635200 159752229145600 162248357726000 166142318311424 169532977868800 182573976166400 185426694544000 189876935213056 196618128179200 199690286432000 207677897889280 211916222336000 228217470208000 237346169016320 242189968384000 245772660224000 255603566632960 259597372361600 260819965952000 296682711270400 319504458291200 324496715452000 332284636622848 339065955737600 365147952332800 370853389088000 399380572864000 415355795778560 423832444672000 456434940416000 474692338032640 484379936768000 491545320448000 511207133265920 519194744723200 593365422540800 639008916582400 648993430904000 664569273245696 678131911475200 741706778176000 798761145728000 830711591557120 847664889344000 912869880832000 949384676065280 983090640896000 1038389489446400 1186730845081600 1278017833164800 1297986861808000 1329138546491392 1483413556352000 1597522291456000 1661423183114240 1695329778688000 1825739761664000 2076778978892800 2373461690163200 2556035666329600 2595973723616000 2966827112704000 3195044582912000 3322846366228480 3390659557376000 4153557957785600 4746923380326400 5191947447232000 5933654225408000 6390089165824000 6645692732456960 8307115915571200 10383894894464000 11867308450816000 12780178331648000 16614231831142400 20767789788928000 23734616901632000 33228463662284800 41535579577856000 83071159155712000 166142318311424000
- Sum of all divisors σ(n): 524103175321977888
- Sum of proper divisors (its aliquot sum) s(n): 357960857010553888
- 166142318311424000 is an abundant number, because the sum of its proper divisors (357960857010553888) is greater than itself. Its abundance is 191818538699129888
Bases of 166142318311424000
- Binary: 10010011100100000110001110111010010001110011000000000000002
- Hexadecimal: 0x24E418EE91CC000
- Base-36: 19FWJBCV2ZNK
Squares and roots of 166142318311424000
- 166142318311424000 squared (1661423183114240002) is 27603269933894534578648907776000000
- 166142318311424000 cubed (1661423183114240003) is 4586071259793265478321054382694022223233024000000000
-
The
square root of 166142318311424000 is 407605591.6096146981 -
The
cube root of 166142318311424000 is 549743.4818244691 - Being both a perfect square and a perfect cube, 166142318311424000 is also a
perfect sixth number .
Scales and comparisons
How big is 166142318311424000?- 166,142,318,311,424,000 seconds is equal to 5,282,811,810 years, 19 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 166,142,318,311,424,000 would take you about fifteen billion, eight hundred forty-eight million, four hundred thirty-five thousand, four hundred thirty-one 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 166142318311424000 cubic inches would be around 45812 feet tall.
Recreational maths with 166142318311424000
- 166142318311424000 backwards is 000424113813241661
- The number of decimal digits it has is: 18
- The sum of 166142318311424000's digits is 47
- More coming soon!
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MLA style:
"Number 166142318311424000 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
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Numbermatics. (2024). Number 166142318311424000 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/166142318311424000/
Chicago style:
Numbermatics. 2024. "Number 166142318311424000 - Facts about the integer". https://numbermatics.com/n/166142318311424000/
The information we have on file for 166142318311424000 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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