442422144

Names of 442422144

• Cardinal: 442422144 can be written as Four hundred forty-two million, four hundred twenty-two thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 4.42422144 × 10⁸

Factors of 442422144

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 111

Divisors of 442422144

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 19 24 29 32 34 36 38 41 48 51 57 58 64 68 72 76 82 87 96 102 114 116 123 128 136 144 152 153 164 171 174 192 204 228 232 246 261 272 288 304 306 323 328 342 348 369 384 408 456 464 492 493 522 544 551 576 608 612 646 656 684 696 697 738 779 816 912 928 969 984 986 1044 1088 1102 1152 1189 1216 1224 1292 1312 1368 1392 1394 1476 1479 1558 1632 1653 1824 1856 1938 1968 1972 2088 2091 2176 2204 2337 2378 2432 2448 2584 2624 2736 2784 2788 2907 2952 2958 3116 3264 3306 3567 3648 3712 3876 3936 3944 4176 4182 4408 4437 4674 4756 4896 4959 5168 5248 5472 5568 5576 5814 5904 5916 6232 6273 6528 6612 7011 7134 7296 7752 7872 7888 8352 8364 8816 8874 9348 9367 9512 9792 9918 10336 10701 10944 11136 11152 11628 11808 11832 12464 12546 13224 13243 14022 14268 15504 15744 15776 16704 16728 17632 17748 18696 18734 19024 19584 19836 20213 20672 21402 21888 22304 22591 23256 23616 23664 24928 25092 26448 26486 28044 28101 28536 31008 31552 33408 33456 35264 35496 37392 37468 38048 39672 39729 40426 41344 42804 44608 45182 46512 47232 47328 49856 50184 52896 52972 56088 56202 57072 60639 62016 63104 66912 67773 70528 70992 74784 74936 76096 79344 79458 80852 84303 85608 89216 90364 93024 94656 99712 100368 105792 105944 112176 112404 114144 119187 121278 124032 133824 135546 141984 149568 149872 152192 158688 158916 161704 168606 171216 180728 181917 186048 189312 200736 203319 211584 211888 224352 224808 228288 238374 242556 267648 271092 283968 299136 299744 317376 317832 323408 337212 342432 361456 363834 372096 384047 401472 406638 423776 448704 449616 456576 476748 485112 542184 567936 599488 634752 635664 646816 674424 684864 722912 727668 768094 802944 813276 847552 897408 899232 953496 970224 1084368 1152141 1198976 1271328 1293632 1348848 1369728 1445824 1455336 1536188 1626552 1695104 1798464 1906992 1940448 2168736 2304282 2542656 2587264 2697696 2891648 2910672 3072376 3253104 3456423 3596928 3813984 3880896 4337472 4608564 5085312 5395392 5821344 6144752 6506208 6912846 7627968 7761792 8674944 9217128 10790784 11642688 12289504 13012416 13825692 15255936 18434256 23285376 24579008 26024832 27651384 36868512 49158016 55302768 73737024 110605536 147474048 221211072 442422144
• Sum of all divisors σ(n): 1503684000
• Sum of proper divisors (its aliquot sum) s(n): 1061261856
• 442422144 is an abundant number, because the sum of its proper divisors (1061261856) is greater than itself. Its abundance is 618839712

Bases of 442422144

• Binary: 11010010111101101001110000000₂
• Hexadecimal: 0x1A5ED380
• Base-36: 7BEN40

Squares and roots of 442422144

• 442422144 squared (442422144²) is 195737353501556736
• 442422144 cubed (442422144³) is 86598539597044638478761984
• The square root of 442422144 is 21033.8333168253
• The cube root of 442422144 is 761.9835902805

Scales and comparisons

• 442,422,144 seconds is equal to 14 years, 3 weeks, 3 days, 15 hours, 2 minutes, 24 seconds.
• To count from 1 to 442,422,144 would take you about twenty-one 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 442422144 cubic inches would be around 63.5 feet tall.

Recreational maths with 442422144

• 442422144 backwards is 441224244
• The number of decimal digits it has is: 9
• The sum of 442422144's digits is 27
• More coming soon!