442974084168
442,974,084,168 is an even composite number composed of six prime numbers multiplied together.
What does the number 442974084168 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
442974084168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 442974084168:
23 × 3 × 72 × 11 × 712 × 6793
(2 × 2 × 2 × 3 × 7 × 7 × 11 × 71 × 71 × 6793)See below for interesting mathematical facts about the number 442974084168 from the Numbermatics database.
Names of 442974084168
- Cardinal: 442974084168 can be written as Four hundred forty-two billion, nine hundred seventy-four million, eighty-four thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 4.42974084168 × 1011
Factors of 442974084168
Divisors of 442974084168
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 71 77 84 88 98 132 142 147 154 168 196 213 231 264 284 294 308 392 426 462 497 539 568 588 616 781 852 924 994 1078 1176 1491 1562 1617 1704 1848 1988 2156 2343 2982 3124 3234 3479 3976 4312 4686 5041 5467 5964 6248 6468 6793 6958 9372 10082 10437 10934 11928 12936 13586 13916 15123 16401 18744 20164 20379 20874 21868 27172 27832 30246 32802 35287 38269 40328 40758 41748 43736 47551 54344 55451 60492 65604 70574 74723 76538 81516 83496 95102 105861 110902 114807 120984 131208 141148 142653 149446 153076 163032 166353 190204 211722 221804 224169 229614 247009 282296 285306 298892 306152 332706 332857 380408 388157 423444 443608 448338 459228 482303 494018 523061 570612 597784 665412 665714 741027 776314 846888 896676 918456 964606 988036 998571 1046122 1141224 1164471 1330824 1331428 1446909 1482054 1552628 1569183 1793352 1929212 1976072 1997142 2092244 2328942 2662856 2717099 2893818 2964108 3105256 3138366 3376121 3661427 3858424 3994284 4184488 4657884 5305333 5434198 5787636 5928216 6276732 6752242 7322854 7988568 8151297 9315768 10128363 10610666 10868396 10984281 11575272 12553464 13504484 14645708 15915999 16302594 20256726 21221332 21736792 21968562 23632847 27008968 29291416 31831998 32605188 34243513 37137331 40513452 42442664 43937124 47265694 63663996 65210376 68487026 70898541 74274662 81026904 87874248 94531388 102730539 111411993 127327992 136974052 141797082 148549324 189062776 205461078 222823986 239704591 259961317 273948104 283594164 297098648 376678643 410922156 445647972 479409182 519922634 567188328 719113773 753357286 779883951 821844312 891295944 958818364 1039845268 1130035929 1438227546 1506714572 1559767902 1677932137 1917636728 2079690536 2260071858 2636750501 2876455092 3013429144 3119535804 3355864274 4520143716 5033796411 5273501002 5752910184 6239071608 6711728548 7910251503 9040287432 10067592822 10547002004 13423457096 15820503006 18457253507 20135185644 21094004008 31641006012 36914507014 40270371288 55371760521 63282012024 73829014028 110743521042 147658028056 221487042084 442974084168
- Sum of all divisors σ(n): 1425636110880
- Sum of proper divisors (its aliquot sum) s(n): 982662026712
- 442974084168 is an abundant number, because the sum of its proper divisors (982662026712) is greater than itself. Its abundance is 539687942544
Bases of 442974084168
- Binary: 1100111001000110101000000011100010010002
- Hexadecimal: 0x6723501C48
- Base-36: 5NHZBYVC
Squares and roots of 442974084168
- 442974084168 squared (4429740841682) is 196226039244478348252224
- 442974084168 cubed (4429740841683) is 86923050024236822967934289869189632
-
The
square root of 442974084168 is 665562.9828708925 -
The
cube root of 442974084168 is 7623.0032742473
Scales and comparisons
How big is 442974084168?- 442,974,084,168 seconds is equal to 14,085 years, 10 weeks, 4 days, 20 hours, 42 minutes, 48 seconds.
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To count from 1 to 442,974,084,168 would take you about twenty-eight thousand, one hundred seventy 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 442974084168 cubic inches would be around 635.3 feet tall.
Recreational maths with 442974084168
- 442974084168 backwards is 861480479244
- The number of decimal digits it has is: 12
- The sum of 442974084168's digits is 57
- More coming soon!
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