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14104133984 = 253199114347
BaseRepresentation
bin11010010001010110…
…00000000101100000
31100101221102020112202
431020223000011200
5212341124241414
610251312312332
71006341106103
oct151053000540
940357366482
1014104133984
115a88463686
1228975426a8
13143a06c215
1497b26273a
155783529de
hex348ac0160

14104133984 has 48 divisors (see below), whose sum is σ = 28694163456. Its totient is φ = 6817219200.

The previous prime is 14104133957. The next prime is 14104133987. The reversal of 14104133984 is 48933140141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14104133987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 975899 + ... + 990245.

It is an arithmetic number, because the mean of its divisors is an integer number (597795072).

Almost surely, 214104133984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14104133984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14347081728).

14104133984 is an abundant number, since it is smaller than the sum of its proper divisors (14590029472).

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

14104133984 is a wasteful number, since it uses less digits than its factorization.

14104133984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15379 (or 15371 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 14104133984 in words is "fourteen billion, one hundred four million, one hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 991 992 1982 3964 7928 14347 15856 28694 30721 31712 57388 61442 114776 122884 229552 245768 444757 459104 491536 889514 983072 1779028 3558056 7116112 14217877 14232224 28435754 56871508 113743016 227486032 440754187 454972064 881508374 1763016748 3526033496 7052066992 14104133984