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14080382838 = 232173110314411
BaseRepresentation
bin11010001110100000…
…11001011101110110
31100100021201120002200
431013100121131312
5212314034222323
610245103245330
71005632164554
oct150720313566
940307646080
1014080382838
115a76011035
12288b5a9846
1314351745a2
1497803cbd4
15576210443
hex347419776

14080382838 has 96 divisors (see below), whose sum is σ = 33670121472. Its totient is φ = 4233081600.

The previous prime is 14080382803. The next prime is 14080382867. The reversal of 14080382838 is 83828308041.

It is a junction number, because it is equal to n+sod(n) for n = 14080382793 and 14080382802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 969853 + ... + 984263.

It is an arithmetic number, because the mean of its divisors is an integer number (350730432).

Almost surely, 214080382838 is an apocalyptic number.

14080382838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14080382838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16835060736).

14080382838 is an abundant number, since it is smaller than the sum of its proper divisors (19589738634).

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

14080382838 is a wasteful number, since it uses less digits than its factorization.

14080382838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14570 (or 14567 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 14080382838 in words is "fourteen billion, eighty million, three hundred eighty-two thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 103 153 186 206 279 306 309 527 558 618 927 1054 1581 1751 1854 3162 3193 3502 4743 5253 6386 9486 9579 10506 14411 15759 19158 28737 28822 31518 43233 54281 57474 86466 108562 129699 162843 244987 259398 325686 446741 488529 489974 734961 893482 977058 1340223 1469922 1484333 2204883 2680446 2968666 4020669 4409766 4452999 7594597 8041338 8905998 13358997 15189194 22783791 25233661 26717994 45567582 46014323 50467322 68351373 75700983 92028646 136702746 138042969 151401966 227102949 276085938 414128907 454205898 782243491 828257814 1564486982 2346730473 4693460946 7040191419 14080382838