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14908372053120 = 27325721331131071
BaseRepresentation
bin1101100011110010000000…
…1110000110110010000000
31221210020010002012101211100
43120330200032012302000
53423224321221144440
651412451144414400
73066044233405200
oct330744016066200
957706102171740
1014908372053120
1148286723aa947
121809413777400
13841b1305b130
143977d76ca400
151acc03418230
hexd8f20386c80

14908372053120 has 1152 divisors, whose sum is σ = 66572915834880. Its totient is φ = 3044011622400.

The previous prime is 14908372053109. The next prime is 14908372053137. The reversal of 14908372053120 is 2135027380941.

It is a happy number.

14908372053120 is a `hidden beast` number, since 1 + 4 + 90 + 8 + 3 + 7 + 2 + 0 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 113677185 + ... + 113808255.

It is an arithmetic number, because the mean of its divisors is an integer number (57788989440).

Almost surely, 214908372053120 is an apocalyptic number.

14908372053120 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 14908372053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33286457917440).

14908372053120 is an abundant number, since it is smaller than the sum of its proper divisors (51664543781760).

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

14908372053120 is a wasteful number, since it uses less digits than its factorization.

14908372053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131154 (or 131132 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 14908372053120 in words is "fourteen trillion, nine hundred eight billion, three hundred seventy-two million, fifty-three thousand, one hundred twenty".