997945911144000
997,945,911,144,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 997945911144000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3584 divisors.
997945911144000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, five hundred eighty-four divisors.
Prime factorization of 997945911144000:
26 × 33 × 53 × 7 × 13 × 37 × 433 × 3169
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 37 × 433 × 3169)See below for interesting mathematical facts about the number 997945911144000 from the Numbermatics database.
Names of 997945911144000
- Cardinal: 997945911144000 can be written as Nine hundred ninety-seven trillion, nine hundred forty-five billion, nine hundred eleven million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 9.97945911144 × 1014
Factors of 997945911144000
Divisors of 997945911144000
- Number of divisors d(n): 3584
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 37 39 40 42 45 48 50 52 54 56 60 63 64 65 70 72 74 75 78 80 84 90 91 96 100 104 105 108 111 112 117 120 125 126 130 135 140 144 148 150 156 160 168 175 180 182 185 189 192 195 200 208 210 216 222 224 225 234 240 250 252 259 260 270 273 280 288 296 300 312 315 320 325 333 336 350 351 360 364 370 375 378 390 400 416 420 432 433 444 448 450 455 468 480 481 500 504 518 520 525 540 546 555 560 576 585 592 600 624 630 650 666 672 675 700 702 720 728 740 750 756 777 780 800 819 832 840 864 866 875 888 900 910 925 936 945 960 962 975 999 1000 1008 1036 1040 1050 1080 1092 1110 1120 1125 1170 1184 1200 1248 1260 1295 1299 1300 1332 1344 1350 1365 1400 1404 1440 1443 1456 1480 1500 1512 1554 1560 1575 1600 1625 1638 1665 1680 1728 1732 1750 1755 1776 1800 1820 1850 1872 1890 1924 1950 1998 2000 2016 2072 2080 2100 2160 2165 2184 2220 2240 2250 2275 2331 2340 2368 2400 2405 2457 2496 2520 2590 2598 2600 2625 2664 2700 2730 2775 2800 2808 2880 2886 2912 2925 2960 3000 3024 3031 3108 3120 3150 3169 3250 3276 3330 3360 3367 3375 3464 3500 3510 3552 3600 3640 3700 3744 3780 3848 3885 3897 3900 3996 4000 4032 4095 4144 4160 4200 4320 4329 4330 4368 4440 4500 4550 4625 4662 4680 4725 4800 4810 4875 4914 4995 5040 5180 5196 5200 5250 5328 5400 5460 5550 5600 5616 5629 5772 5824 5850 5920 6000 6048 6062 6216 6240 6300 6338 6475 6495 6500 6552 6660 6720 6734 6750 6825 6928 6993 7000 7020 7104 7200 7215 7280 7400 7488 7560 7696 7770 7794 7800 7875 7992 8000 8190 8288 8325 8400 8640 8658 8660 8736 8775 8880 9000 9093 9100 9250 9324 9360 9450 9507 9620 9750 9828 9990 10080 10101 10360 10392 10400 10500 10656 10800 10825 10920 11100 11200 11232 11258 11375 11544 11655 11691 11700 11840 12000 12025 12096 12124 12285 12432 12480 12600 12676 12950 12987 12990 13000 13104 13320 13468 13500 13650 13856 13875 13986 14000 14040 14400 14430 14560 14625 14800 15120 15155 15392 15540 15588 15600 15750 15845 15984 16021 16380 16576 16650 16800 16835 16887 17316 17320 17472 17550 17760 18000 18186 18200 18500 18648 18720 18900 19014 19240 19425 19485 19500 19656 19980 20160 20202 20475 20720 20784 20800 21000 21312 21600 21645 21650 21840 22183 22200 22464 22516 22750 23088 23310 23382 23400 23625 24000 24050 24248 24570 24864 24975 25200 25352 25900 25974 25980 26000 26208 26640 26936 27000 27279 27300 27712 27750 27972 28000 28080 28145 28521 28860 29120 29250 29600 30240 30303 30310 30784 31080 31176 31200 31500 31690 31968 32042 32375 32475 32760 33300 33600 33670 33774 34125 34632 34640 34965 35100 35520 36000 36075 36372 36400 37000 37296 37440 37800 38028 38480 38850 38970 39000 39312 39403 39960 40404 40950 41197 41440 41568 41625 42000 43200 43290 43300 43680 43875 44366 44400 45032 45465 45500 46176 46620 46764 46800 47250 47535 48063 48100 48496 49140 49728 49950 50400 50505 50661 50704 51800 51948 51960 52000 52416 53280 53872 54000 54125 54558 54600 55500 55944 56000 56160 56290 57042 57720 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3853073016000 3960102822000 3991783644576 4158107963100 4264726116000 4435315160640 4455115674750 4495251852000 4620119959000 4752123386400 4797816880500 4989729555720 5117671339200 5197634953875 5280137096000 5394302222400 5483219292000 5544143950800 5702548063680 5940154233000 6237161944650 6397089174000 6652972740960 6742877778000 6930179938500 7128185079600 7392191934400 7676507008800 7920205644000 7983567289152 8316215926200 8529452232000 8910231349500 8990503704000 9240239918000 9504246772800 9595633761000 9979459111440 10395269907750 10966438584000 11088287901600 11880308466000 12474323889300 12794178348000 13305945481920 13485755556000 13860359877000 14256370159200 15353014017600 15592904861625 15840411288000 16632431852400 17820462699000 18480479836000 19191267522000 19958918222880 20790539815500 22176575803200 23760616932000 24948647778600 25588356696000 26971511112000 27720719754000 28512740318400 31185809723250 33264863704800 35640925398000 36960959672000 38382535044000 39917836445760 41581079631000 47521233864000 49897295557200 55441439508000 62371619446500 66529727409600 71281850796000 76765070088000 83162159262000 99794591114400 110882879016000 124743238893000 142563701592000 166324318524000 199589182228800 249486477786000 332648637048000 498972955572000 997945911144000
- Sum of all divisors σ(n): 4640223740006400
- Sum of proper divisors (its aliquot sum) s(n): 3642277828862400
- 997945911144000 is an abundant number, because the sum of its proper divisors (3642277828862400) is greater than itself. Its abundance is 2644331917718400
Bases of 997945911144000
- Binary: 111000101110100000011000111000100111101110010000002
- Hexadecimal: 0x38BA06389EE40
- Base-36: 9TQQ0TAMO0
Squares and roots of 997945911144000
- 997945911144000 squared (9979459111440002) is 995896041569028343388736000000
- 997945911144000 cubed (9979459111440003) is 993850382608306889513833056106473984000000000
-
The
square root of 997945911144000 is 31590281.9098532263 -
The
cube root of 997945911144000 is 99931.4834369941
Scales and comparisons
How big is 997945911144000?- 997,945,911,144,000 seconds is equal to 31,731,593 years, 6 weeks, 3 days, 12 hours.
-
To count from 1 to 997,945,911,144,000 would take you about seventy-nine million, three hundred twenty-eight thousand, nine hundred eighty-two 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 997945911144000 cubic inches would be around 8327.6 feet tall.
Recreational maths with 997945911144000
- 997945911144000 backwards is 000441119549799
- 997945911144000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 997945911144000's digits is 63
- More coming soon!
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"Number 997945911144000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 997945911144000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/997945911144000/
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The information we have on file for 997945911144000 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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