442427984064
442,427,984,064 is an even composite number composed of five prime numbers multiplied together.
442427984064 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 442427984064:
26 × 33 × 11 × 1187 × 19609
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 1187 × 19609)See below for interesting mathematical facts about the number 442427984064 from the Numbermatics database.
Names of 442427984064
- Cardinal: 442427984064 can be written as Four hundred forty-two billion, four hundred twenty-seven million, nine hundred eighty-four thousand and sixty-four.
Scientific notation
- Scientific notation: 4.42427984064 × 1011
Factors of 442427984064
Divisors of 442427984064
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1187 1188 1584 1728 2112 2374 2376 3168 3561 4748 4752 6336 7122 9496 9504 10683 13057 14244 18992 19008 19609 21366 26114 28488 32049 37984 39171 39218 42732 52228 56976 58827 64098 75968 78342 78436 85464 104456 113952 117513 117654 128196 156684 156872 170928 176481 208912 215699 227904 235026 235308 256392 313368 313744 341856 352539 352962 417824 431398 470052 470616 512784 529443 626736 627488 647097 683712 705078 705924 835648 862796 940104 941232 1025568 1058886 1253472 1254976 1294194 1410156 1411848 1725592 1880208 1882464 1941291 2051136 2117772 2506944 2588388 2820312 2823696 3451184 3760416 3764928 3882582 4235544 5176776 5640624 5647392 5823873 6902368 7520832 7765164 8471088 10353552 11281248 11294784 11647746 13804736 15530328 16942176 20707104 22562496 23275883 23295492 31060656 33884352 41414208 46551766 46590984 62121312 69827649 93103532 93181968 124242624 139655298 186207064 186363936 209482947 256034713 279310596 372414128 372727872 418965894 512069426 558621192 628448841 744828256 768104139 837931788 1024138852 1117242384 1256897682 1489656512 1536208278 1675863576 2048277704 2234484768 2304312417 2513795364 3072416556 3351727152 4096555408 4468969536 4608624834 5027590728 6144833112 6703454304 6912937251 8193110816 9217249668 10055181456 12289666224 13406908608 13825874502 16386221632 18434499336 20110362912 24579332448 27651749004 36868998672 40220725824 49158664896 55303498008 73737997344 110606996016 147475994688 221213992032 442427984064
- Sum of all divisors σ(n): 1420165612800
- Sum of proper divisors (its aliquot sum) s(n): 977737628736
- 442427984064 is an abundant number, because the sum of its proper divisors (977737628736) is greater than itself. Its abundance is 535309644672
Bases of 442427984064
- Binary: 1100111000000101100001101001000110000002
- Hexadecimal: 0x6702C348C0
- Base-36: 5N8Y75C0
Squares and roots of 442427984064
- 442427984064 squared (4424279840642) is 195742521082935037956096
- 442427984064 cubed (4424279840643) is 86601968998327966995186876219654144
-
The
square root of 442427984064 is 665152.6020876713 -
The
cube root of 442427984064 is 7619.8694304615
Scales and comparisons
How big is 442427984064?- 442,427,984,064 seconds is equal to 14,067 years, 43 weeks, 5 days, 6 hours, 14 minutes, 24 seconds.
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To count from 1 to 442,427,984,064 would take you about twenty-eight thousand, one hundred thirty-five 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 442427984064 cubic inches would be around 635 feet tall.
Recreational maths with 442427984064
- 442427984064 backwards is 460489724244
- 442427984064 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 442427984064's digits is 54
- More coming soon!
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