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14101444434 = 237111913112263
BaseRepresentation
bin11010010001000001…
…01111011101010010
31100101202100121011210
431020200233131102
5212334432210214
610251134520550
71006306204620
oct151040573522
940352317153
1014101444434
115a86996a10
122896666156
131439639c7c
1497ab62510
15577ec0b59
hex34882f752

14101444434 has 128 divisors (see below), whose sum is σ = 37298257920. Its totient is φ = 3443169600.

The previous prime is 14101444421. The next prime is 14101444439. The reversal of 14101444434 is 43444410141.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14101444439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1143787 + ... + 1156049.

It is an arithmetic number, because the mean of its divisors is an integer number (291392640).

Almost surely, 214101444434 is an apocalyptic number.

14101444434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14101444434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18649128960).

14101444434 is an abundant number, since it is smaller than the sum of its proper divisors (23196813486).

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

14101444434 is a wasteful number, since it uses less digits than its factorization.

14101444434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12436.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 14101444434 its reverse (43444410141), we get a palindrome (57545854575).

The spelling of 14101444434 in words is "fourteen billion, one hundred one million, four hundred forty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 131 133 154 209 231 262 266 393 399 418 462 627 786 798 917 1254 1441 1463 1834 2489 2751 2882 2926 4323 4389 4978 5502 7467 8646 8778 10087 12263 14934 17423 20174 24526 27379 30261 34846 36789 52269 54758 60522 73578 82137 85841 104538 134893 164274 171682 191653 232997 257523 269786 383306 404679 465994 515046 574959 698991 809358 944251 1149918 1397982 1606453 1630979 1888502 2562967 2832753 3212906 3261958 4819359 4892937 5125934 5665506 7688901 9638718 9785874 11245171 15377802 17670983 17940769 22490342 30522607 33735513 35341966 35881538 53012949 53822307 61045214 67471026 91567821 106025898 107644614 123696881 183135642 213658249 247393762 335748677 371090643 427316498 640974747 671497354 742181286 1007246031 1281949494 2014492062 2350240739 4700481478 7050722217 14101444434