444428601344
444,428,601,344 is an even composite number composed of five prime numbers multiplied together.
444428601344 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 444428601344:
211 × 73 × 13 × 41 × 1187
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 41 × 1187)See below for interesting mathematical facts about the number 444428601344 from the Numbermatics database.
Names of 444428601344
- Cardinal: 444428601344 can be written as Four hundred forty-four billion, four hundred twenty-eight million, six hundred one thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 4.44428601344 × 1011
Factors of 444428601344
Divisors of 444428601344
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 41 49 52 56 64 82 91 98 104 112 128 164 182 196 208 224 256 287 328 343 364 392 416 448 512 533 574 637 656 686 728 784 832 896 1024 1066 1148 1187 1274 1312 1372 1456 1568 1664 1792 2009 2048 2132 2296 2374 2548 2624 2744 2912 3136 3328 3584 3731 4018 4264 4459 4592 4748 5096 5248 5488 5824 6272 6656 7168 7462 8036 8309 8528 8918 9184 9496 10192 10496 10976 11648 12544 13312 14063 14336 14924 15431 16072 16618 17056 17836 18368 18992 20384 20992 21952 23296 25088 26117 26624 28126 29848 30862 32144 33236 34112 35672 36736 37984 40768 41984 43904 46592 48667 50176 52234 56252 58163 59696 61724 64288 66472 68224 71344 73472 75968 81536 83968 87808 93184 97334 100352 104468 108017 112504 116326 119392 123448 128576 132944 136448 142688 146944 151936 163072 175616 182819 186368 194668 208936 216034 225008 232652 238784 246896 257152 265888 272896 285376 293888 303872 326144 340669 351232 365638 389336 407141 417872 432068 450016 465304 477568 493792 514304 531776 545792 570752 587776 607744 632671 652288 681338 702464 731276 756119 778672 814282 835744 864136 900032 930608 955136 987584 1028608 1063552 1091584 1141504 1215488 1265342 1304576 1362676 1462552 1512238 1557344 1628564 1671488 1728272 1800064 1861216 1910272 1975168 2057216 2127104 2283008 2384683 2430976 2530684 2725352 2925104 3024476 3114688 3257128 3342976 3456544 3600128 3722432 3820544 3950336 4114432 4254208 4428697 4566016 4769366 5061368 5292833 5450704 5850208 6048952 6229376 6514256 6685952 6913088 7200256 7444864 7641088 7900672 8508416 8857394 9132032 9538732 10122736 10585666 10901408 11700416 12097904 12458752 13028512 13371904 13826176 14400512 14889728 15801344 16692781 17016832 17714788 19077464 20245472 21171332 21802816 23400832 24195808 24917504 26057024 26743808 27652352 28801024 29779456 31000879 31602688 33385562 35429576 38154928 40490944 42342664 43605632 46801664 48391616 49835008 52114048 53487616 55304704 59558912 62001758 66771124 70859152 76309856 80981888 84685328 87211264 93603328 96783232 99670016 104228096 110609408 119117824 124003516 133542248 141718304 152619712 161963776 169370656 174422528 187206656 193566464 208456192 217006153 221218816 248007032 267084496 283436608 305239424 323927552 338741312 348845056 374413312 387132928 416912384 434012306 496014064 534168992 566873216 610478848 647855104 677482624 697690112 774265856 833824768 868024612 992028128 1068337984 1133746432 1220957696 1295710208 1354965248 1548531712 1736049224 1984056256 2136675968 2267492864 2441915392 2709930496 3472098448 3968112512 4273351936 4534985728 4883830784 5419860992 6944196896 7936225024 8546703872 9069971456 10839721984 13888393792 15872450048 17093407744 27776787584 31744900096 34186815488 55553575168 63489800192 111107150336 222214300672 444428601344
- Sum of all divisors σ(n): 1144215072000
- Sum of proper divisors (its aliquot sum) s(n): 699786470656
- 444428601344 is an abundant number, because the sum of its proper divisors (699786470656) is greater than itself. Its abundance is 255357869312
Bases of 444428601344
- Binary: 1100111011110100000001001001000000000002
- Hexadecimal: 0x677A024800
- Base-36: 5O61BBI8
Squares and roots of 444428601344
- 444428601344 squared (4444286013442) is 197516781692584078606336
- 444428601344 cubed (4444286013443) is 87782107029603327032136861256515584
-
The
square root of 444428601344 is 666654.7842354393 -
The
cube root of 444428601344 is 7631.3376034977
Scales and comparisons
How big is 444428601344?- 444,428,601,344 seconds is equal to 14,131 years, 23 weeks, 4 days, 13 hours, 15 minutes, 44 seconds.
-
To count from 1 to 444,428,601,344 would take you about twenty-eight thousand, two hundred sixty-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 444428601344 cubic inches would be around 635.9 feet tall.
Recreational maths with 444428601344
- 444428601344 backwards is 443106824444
- The number of decimal digits it has is: 12
- The sum of 444428601344's digits is 44
- More coming soon!
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