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14449053265920 = 21233572131719127
BaseRepresentation
bin1101001001000010111010…
…1011111111000000000000
31220011022112100212102101000
43102100232223333000000
53343213130114002140
650421445313012000
73020624003212500
oct322205653770000
956138470772330
1014449053265920
114670899978779
1217543a6854000
1380a703154910
1437d4a331ba00
151a0cbdecca30
hexd242eaff000

14449053265920 has 4992 divisors, whose sum is σ = 72287553945600. Its totient is φ = 2696845197312.

The previous prime is 14449053265873. The next prime is 14449053265963. The reversal of 14449053265920 is 2956235094441.

14449053265920 is a `hidden beast` number, since 1 + 4 + 4 + 49 + 0 + 5 + 3 + 2 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 113772072897 + ... + 113772073023.

Almost surely, 214449053265920 is an apocalyptic number.

14449053265920 is a gapful number since it is divisible by the number (10) 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 14449053265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36143776972800).

14449053265920 is an abundant number, since it is smaller than the sum of its proper divisors (57838500679680).

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

14449053265920 is a wasteful number, since it uses less digits than its factorization.

14449053265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 14449053265920 in words is "fourteen trillion, four hundred forty-nine billion, fifty-three million, two hundred sixty-five thousand, nine hundred twenty".