2006442332800
2,006,442,332,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 2006442332800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
2006442332800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 2006442332800:
27 × 52 × 43 × 47 × 5572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 43 × 47 × 557 × 557)See below for interesting mathematical facts about the number 2006442332800 from the Numbermatics database.
Names of 2006442332800
- Cardinal: 2006442332800 can be written as Two trillion, six billion, four hundred forty-two million, three hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 2.0064423328 × 1012
Factors of 2006442332800
Divisors of 2006442332800
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 43 47 50 64 80 86 94 100 128 160 172 188 200 215 235 320 344 376 400 430 470 557 640 688 752 800 860 940 1075 1114 1175 1376 1504 1600 1720 1880 2021 2150 2228 2350 2752 2785 3008 3200 3440 3760 4042 4300 4456 4700 5504 5570 6016 6880 7520 8084 8600 8912 9400 10105 11140 13760 13925 15040 16168 17200 17824 18800 20210 22280 23951 26179 27520 27850 30080 32336 34400 35648 37600 40420 44560 47902 50525 52358 55700 64672 68800 71296 75200 80840 89120 95804 101050 104716 111400 119755 129344 130895 137600 150400 161680 178240 191608 202100 209432 222800 239510 258688 261790 310249 323360 356480 383216 404200 418864 445600 479020 523580 598775 620498 646720 654475 766432 808400 837728 891200 958040 1047160 1125697 1197550 1240996 1293440 1308950 1532864 1551245 1616800 1675456 1782400 1916080 2094320 2251394 2395100 2481992 2617900 3065728 3102490 3233600 3350912 3832160 4188640 4502788 4790200 4963984 5235800 5628485 6204980 6467200 7664320 7756225 8377280 9005576 9580400 9927968 10471600 11256970 12409960 13340707 14581703 15328640 15512450 16754560 18011152 19160800 19855936 20943200 22513940 24819920 26681414 28142425 29163406 31024900 36022304 38321600 39711872 41886400 45027880 49639840 53362828 56284850 58326812 62049800 66703535 72044608 72908515 76643200 83772800 90055760 99279680 106725656 112569700 116653624 124099600 133407070 144089216 145817030 180111520 198559360 213451312 225139400 233307248 248199200 266814140 291634060 333517675 360223040 364542575 426902624 450278800 466614496 496398400 533628280 583268120 627013229 667035350 720446080 729085150 853805248 900557600 933228992 992796800 1067256560 1166536240 1254026458 1334070700 1458170300 1707610496 1801115200 1866457984 2134513120 2333072480 2508052916 2668141400 2916340600 3135066145 3602230400 4269026240 4666144960 5016105832 5336282800 5832681200 6270132290 8538052480 9332289920 10032211664 10672565600 11665362400 12540264580 15675330725 20064423328 21345131200 23330724800 25080529160 31350661450 40128846656 42690262400 46661449600 50161058320 62701322900 80257693312 100322116640 125402645800 200644233280 250805291600 401288466560 501610583200 1003221166400 2006442332800
- Sum of all divisors σ(n): 5189034755520
- Sum of proper divisors (its aliquot sum) s(n): 3182592422720
- 2006442332800 is an abundant number, because the sum of its proper divisors (3182592422720) is greater than itself. Its abundance is 1176150089920
Bases of 2006442332800
- Binary: 111010011001010010100100001010010100000002
- Hexadecimal: 0x1D329485280
- Base-36: PLQVYKCG
Squares and roots of 2006442332800
- 2006442332800 squared (20064423328002) is 4025810834851905955840000
- 2006442332800 cubed (20064423328003) is 8077557282891773728561823383552000000
-
The
square root of 2006442332800 is 1416489.4397064877 -
The
cube root of 2006442332800 is 12612.7240506941
Scales and comparisons
How big is 2006442332800?- 2,006,442,332,800 seconds is equal to 63,798 years, 34 weeks, 2 days, 4 hours, 26 minutes, 40 seconds.
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To count from 1 to 2,006,442,332,800 would take you about one hundred fifty-nine thousand, four hundred ninety-six 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 2006442332800 cubic inches would be around 1051.1 feet tall.
Recreational maths with 2006442332800
- 2006442332800 backwards is 0082332446002
- The number of decimal digits it has is: 13
- The sum of 2006442332800's digits is 34
- More coming soon!
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