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14371440371344 = 247268326838827
BaseRepresentation
bin1101000100100001110010…
…0110010010011010010000
31212212220012101111212102001
43101020130212102122100
53340430202213340334
650322052031203344
73012205455411100
oct321103446223220
955786171455361
1014371440371344
1146409914772a1
121741346376554
138032b4742524
1437981d607200
1519dc7a389714
hexd121c992690

14371440371344 has 60 divisors (see below), whose sum is σ = 32438159007984. Its totient is φ = 6150170655552.

The previous prime is 14371440371311. The next prime is 14371440371377. The reversal of 14371440371344 is 44317304417341.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14371440371311) and next prime (14371440371377).

It is a junction number, because it is equal to n+sod(n) for n = 14371440371294 and 14371440371303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12883942 + ... + 13954885.

Almost surely, 214371440371344 is an apocalyptic number.

14371440371344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14371440371344 is an abundant number, since it is smaller than the sum of its proper divisors (18066718636640).

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

14371440371344 is a wasteful number, since it uses less digits than its factorization.

14371440371344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26839532 (or 26839519 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 46.

Adding to 14371440371344 its reverse (44317304417341), we get a palindrome (58688744788685).

The spelling of 14371440371344 in words is "fourteen trillion, three hundred seventy-one billion, four hundred forty million, three hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 683 784 1366 2732 4781 5464 9562 10928 19124 33467 38248 66934 76496 133868 267736 535472 26838827 53677654 107355308 187871789 214710616 375743578 429421232 751487156 1315102523 1502974312 2630205046 3005948624 5260410092 10520820184 18330918841 21041640368 36661837682 73323675364 128316431887 146647350728 256632863774 293294701456 513265727548 898215023209 1026531455096 1796430046418 2053062910192 3592860092836 7185720185672 14371440371344