442051068900
442,051,068,900 is an even composite number composed of seven prime numbers multiplied together.
What does the number 442051068900 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 288 divisors.
442051068900 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 442051068900:
22 × 3 × 52 × 7 × 31 × 829 × 8191
(2 × 2 × 3 × 5 × 5 × 7 × 31 × 829 × 8191)See below for interesting mathematical facts about the number 442051068900 from the Numbermatics database.
Names of 442051068900
- Cardinal: 442051068900 can be written as Four hundred forty-two billion, fifty-one million, sixty-eight thousand, nine hundred.
Scientific notation
- Scientific notation: 4.420510689 × 1011
Factors of 442051068900
Divisors of 442051068900
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 84 93 100 105 124 140 150 155 175 186 210 217 300 310 350 372 420 434 465 525 620 651 700 775 829 868 930 1050 1085 1302 1550 1658 1860 2100 2170 2325 2487 2604 3100 3255 3316 4145 4340 4650 4974 5425 5803 6510 8191 8290 9300 9948 10850 11606 12435 13020 16275 16382 16580 17409 20725 21700 23212 24573 24870 25699 29015 32550 32764 34818 40955 41450 49146 49740 51398 57337 58030 62175 65100 69636 77097 81910 82900 87045 98292 102796 114674 116060 122865 124350 128495 145075 154194 163820 172011 174090 179893 204775 229348 245730 248700 253921 256990 286685 290150 308388 344022 348180 359786 385485 409550 435225 491460 507842 513980 539679 573370 580300 614325 642475 688044 719572 761763 770970 819100 860055 870450 899465 1015684 1079358 1146740 1228650 1269605 1284950 1433425 1523526 1541940 1720110 1740900 1777447 1798930 1927425 2158716 2457300 2539210 2569900 2698395 2866850 3047052 3440220 3554894 3597860 3808815 3854850 4300275 4497325 5078420 5332341 5396790 5733700 6348025 6790339 7109788 7617630 7709700 8600550 8887235 8994650 10664682 10793580 12696050 13491975 13580678 15235260 17201100 17774470 17989300 19044075 20371017 21329364 25392100 26661705 26983950 27161356 33951695 35548940 38088150 40742034 44436175 47532373 53323410 53967900 67903390 76176300 81484068 88872350 95064746 101855085 106646820 133308525 135806780 142597119 169758475 177744700 190129492 203710170 210500509 237661865 266617050 285194238 339516950 407420340 421001018 475323730 509275425 533234100 570388476 631501527 679033900 712985595 842002036 950647460 1018550850 1052502545 1188309325 1263003054 1425971190 1473503563 2037101700 2105005090 2376618650 2526006108 2851942380 2947007126 3157507635 3564927975 4210010180 4420510689 4753237300 5262512725 5894014252 6315015270 7129855950 7367517815 8841021378 10525025450 12630030540 14259711900 14735035630 15787538175 17682042756 21050050900 22102553445 29470071260 31575076350 36837589075 44205106890 63150152700 73675178150 88410213780 110512767225 147350356300 221025534450 442051068900
- Sum of all divisors σ(n): 1510872186880
- Sum of proper divisors (its aliquot sum) s(n): 1068821117980
- 442051068900 is an abundant number, because the sum of its proper divisors (1068821117980) is greater than itself. Its abundance is 626770049080
Bases of 442051068900
- Binary: 1100110111011000100110000000011111001002
- Hexadecimal: 0x66EC4C03E4
- Base-36: 5N2PSJQC
Squares and roots of 442051068900
- 442051068900 squared (4420510689002) is 195409147515632547210000
- 442051068900 cubed (4420510689003) is 86380822532123146953810212769000000
-
The
square root of 442051068900 is 664869.2118755387 -
The
cube root of 442051068900 is 7617.7049649711
Scales and comparisons
How big is 442051068900?- 442,051,068,900 seconds is equal to 14,055 years, 44 weeks, 3 days, 19 hours, 35 minutes.
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To count from 1 to 442,051,068,900 would take you about twenty-eight thousand, one hundred eleven 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 442051068900 cubic inches would be around 634.8 feet tall.
Recreational maths with 442051068900
- 442051068900 backwards is 009860150244
- The number of decimal digits it has is: 12
- The sum of 442051068900's digits is 39
- More coming soon!
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