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14241442404 = 22372335920533
BaseRepresentation
bin11010100001101101…
…10010101001100100
31100202111210020021210
431100312302221210
5213131302124104
610313055311420
71012626156150
oct152066625144
940674706253
1014241442404
116048a17512
12291551b570
13145c6463c7
149915a6060
15585426989
hex350db2a64

14241442404 has 96 divisors (see below), whose sum is σ = 39740682240. Its totient is φ = 3881040768.

The previous prime is 14241442403. The next prime is 14241442421. The reversal of 14241442404 is 40424414241.

It is not an unprimeable number, because it can be changed into a prime (14241442403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 683322 + ... + 703854.

It is an arithmetic number, because the mean of its divisors is an integer number (413965440).

Almost surely, 214241442404 is an apocalyptic number.

14241442404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14241442404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19870341120).

14241442404 is an abundant number, since it is smaller than the sum of its proper divisors (25499239836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14241442404 is a wasteful number, since it uses less digits than its factorization.

14241442404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20929 (or 20927 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 14241442404 its reverse (40424414241), we get a palindrome (54665856645).

The spelling of 14241442404 in words is "fourteen billion, two hundred forty-one million, four hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 359 483 644 718 966 1077 1436 1932 2154 2513 4308 5026 7539 8257 10052 15078 16514 20533 24771 30156 33028 41066 49542 57799 61599 82132 99084 115598 123198 143731 173397 231196 246396 287462 346794 431193 472259 574924 693588 862386 944518 1416777 1724772 1889036 2833554 3305813 5667108 6611626 7371347 9917439 13223252 14742694 19834878 22114041 29485388 39669756 44228082 51599429 88456164 103198858 154798287 169540981 206397716 309596574 339081962 508622943 619193148 678163924 1017245886 1186786867 2034491772 2373573734 3560360601 4747147468 7120721202 14241442404