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14432133333420 = 223251137593338963
BaseRepresentation
bin1101001000000011111000…
…1011100100000110101100
31220002200212012000210102100
43102000332023210012230
53342424002113132140
650410010332055100
73016454501155305
oct322007613440654
956080765023370
1014432133333420
1146646a7026a90
121751064304490
13808c3791653a
1437c73a1217ac
151a062d86e530
hexd203e2e41ac

14432133333420 has 288 divisors, whose sum is σ = 49879314051840. Its totient is φ = 3346441274880.

The previous prime is 14432133333323. The next prime is 14432133333433. The reversal of 14432133333420 is 2433333123441.

14432133333420 is a `hidden beast` number, since 1 + 44 + 32 + 133 + 3 + 33 + 420 = 666.

It is a super-2 number, since 2×144321333334202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 2652859 + ... + 5991821.

It is an arithmetic number, because the mean of its divisors is an integer number (173192062680).

Almost surely, 214432133333420 is an apocalyptic number.

14432133333420 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 14432133333420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24939657025920).

14432133333420 is an abundant number, since it is smaller than the sum of its proper divisors (35447180718420).

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

14432133333420 is a wasteful number, since it uses less digits than its factorization.

14432133333420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339085 (or 3339080 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 14432133333420 its reverse (2433333123441), we get a palindrome (16865466456861).

The spelling of 14432133333420 in words is "fourteen trillion, four hundred thirty-two billion, one hundred thirty-three million, three hundred thirty-three thousand, four hundred twenty".