42132137242624000
42,132,137,242,624,000 is an even composite number composed of five prime numbers multiplied together.
42132137242624000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 42132137242624000:
215 × 53 × 115 × 13 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 13 × 17 × 17 × 17)See below for interesting mathematical facts about the number 42132137242624000 from the Numbermatics database.
Names of 42132137242624000
- Cardinal: 42132137242624000 can be written as Forty-two quadrillion, one hundred thirty-two trillion, one hundred thirty-seven billion, two hundred forty-two million, six hundred twenty-four thousand.
Scientific notation
- Scientific notation: 4.2132137242624 × 1016
Factors of 42132137242624000
Divisors of 42132137242624000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 17 20 22 25 26 32 34 40 44 50 52 55 64 65 68 80 85 88 100 104 110 121 125 128 130 136 143 160 170 176 187 200 208 220 221 242 250 256 260 272 275 286 289 320 325 340 352 374 400 416 425 440 442 484 500 512 520 544 550 572 578 605 640 650 680 704 715 748 800 832 850 880 884 935 968 1000 1024 1040 1088 1100 1105 1144 1156 1210 1280 1300 1331 1360 1375 1408 1430 1445 1496 1573 1600 1625 1664 1700 1760 1768 1870 1936 2000 2048 2057 2080 2125 2176 2200 2210 2288 2312 2420 2431 2560 2600 2662 2720 2750 2816 2860 2890 2992 3025 3146 3179 3200 3250 3328 3400 3520 3536 3575 3740 3757 3872 4000 4096 4114 4160 4250 4352 4400 4420 4576 4624 4675 4840 4862 4913 5120 5200 5324 5440 5500 5525 5632 5720 5780 5984 6050 6292 6358 6400 6500 6655 6656 6800 7040 7072 7150 7225 7480 7514 7744 7865 8000 8192 8228 8320 8500 8704 8800 8840 9152 9248 9350 9680 9724 9826 10240 10285 10400 10648 10880 11000 11050 11264 11440 11560 11968 12100 12155 12584 12716 12800 13000 13310 13312 13600 14080 14144 14300 14450 14641 14960 15028 15125 15488 15730 15895 16000 16384 16456 16640 17000 17303 17408 17600 17680 17875 18304 18496 18700 18785 19360 19448 19652 20480 20570 20800 21296 21760 22000 22100 22528 22627 22880 23120 23375 23936 24200 24310 24565 25168 25432 25600 26000 26620 26624 26741 27200 27625 28160 28288 28600 28900 29282 29920 30056 30250 30976 31460 31790 32000 32768 32912 33275 33280 34000 34606 34816 34969 35200 35360 35750 36125 36608 36992 37400 37570 38720 38896 39304 39325 40960 41140 41327 41600 42592 43520 44000 44200 45056 45254 45760 46240 46750 47872 48400 48620 49130 50336 50864 51200 51425 52000 53240 53248 53482 54043 54400 55250 56320 56576 57200 57800 58564 59840 60112 60500 60775 61952 62920 63580 63869 64000 65824 66550 66560 68000 69212 69632 69938 70400 70720 71500 72250 73205 73216 73984 74800 75140 77440 77792 78608 78650 79475 81920 82280 82654 83200 85184 86515 87040 88000 88400 90112 90508 91520 92480 93500 93925 95744 96800 97240 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58926066073600 59846785856000 61959025356800 64818672680960 65831464441600 69639896268800 72892971008000 73657582592000 76603885895680 77448781696000 81023340851200 82289330552000 84264274485248 87049870336000 95321577472000 95754857369600 99134440570880 101279176064000 105330343106560 112652773376000 119693571712000 123918050713600 129637345361920 131662928883200 145785942016000 147315165184000 153207771791360 154897563392000 162046681702400 164578661104000 168528548970496 174099740672000 190643154944000 191509714739200 202558352128000 210660686213120 225305546752000 239387143424000 247836101427200 263325857766400 294630330368000 309795126784000 324093363404800 329157322208000 337057097940992 348199481344000 383019429478400 405116704256000 421321372426240 478774286848000 495672202854400 526651715532800 619590253568000 648186726809600 658314644416000 766038858956800 810233408512000 842642744852480 957548573696000 1053303431065600 1239180507136000 1316629288832000 1620466817024000 1685285489704960 1915097147392000 2106606862131200 2478361014272000 2633258577664000 3240933634048000 3830194294784000 4213213724262400 5266517155328000 8426427448524800 10533034310656000 21066068621312000 42132137242624000
- Sum of all divisors σ(n): 132358643204860800
- Sum of proper divisors (its aliquot sum) s(n): 90226505962236800
- 42132137242624000 is an abundant number, because the sum of its proper divisors (90226505962236800) is greater than itself. Its abundance is 48094368719612800
Bases of 42132137242624000
- Binary: 100101011010111011110100101000011111100110000000000000002
- Hexadecimal: 0x95AEF4A1F98000
- Base-36: BIULGNAPLOG
Squares and roots of 42132137242624000
- 42132137242624000 squared (421321372426240002) is 1775116988631304273842405376000000
- 42132137242624000 cubed (421321372426240003) is 74789472586727538403895307847908273946624000000000
-
The
square root of 42132137242624000 is 205261144.0156757969 -
The
cube root of 42132137242624000 is 347966.8166564175
Scales and comparisons
How big is 42132137242624000?- 42,132,137,242,624,000 seconds is equal to 1,339,671,641 years, 3 weeks, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 42,132,137,242,624,000 would take you about four billion, nineteen million, fourteen thousand, nine hundred twenty-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 42132137242624000 cubic inches would be around 28997.2 feet tall.
Recreational maths with 42132137242624000
- 42132137242624000 backwards is 00042624273123124
- The number of decimal digits it has is: 17
- The sum of 42132137242624000's digits is 43
- More coming soon!
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"Number 42132137242624000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 42132137242624000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/42132137242624000/
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The information we have on file for 42132137242624000 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 42132137242624000, math, Factors of 42132137242624000, curriculum, school, college, exams, university, Prime factorization of 42132137242624000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, one hundred thirty-two trillion, one hundred thirty-seven billion, two hundred forty-two million, six hundred twenty-four thousand.