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14434501443320 = 23571929863108413
BaseRepresentation
bin1101001000001100101101…
…0101001011111011111000
31220002220222020001020111102
43102003023111023323320
53342443324332141240
650411041324550532
73016600254601640
oct322031325137370
956086866036442
1014434501443320
114665701838002
1217516053b2448
13809224417aba
1437c8c283d520
151a071b6e6815
hexd20cb54bef8

14434501443320 has 256 divisors, whose sum is σ = 40465308672000. Its totient is φ = 4521540151296.

The previous prime is 14434501443287. The next prime is 14434501443331. The reversal of 14434501443320 is 2334410543441.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133089434 + ... + 133197846.

It is an arithmetic number, because the mean of its divisors is an integer number (158067612000).

Almost surely, 214434501443320 is an apocalyptic number.

14434501443320 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 14434501443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20232654336000).

14434501443320 is an abundant number, since it is smaller than the sum of its proper divisors (26030807228680).

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

14434501443320 is a wasteful number, since it uses less digits than its factorization.

14434501443320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109342 (or 109338 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

Adding to 14434501443320 its reverse (2334410543441), we get a palindrome (16768911986761).

The spelling of 14434501443320 in words is "fourteen trillion, four hundred thirty-four billion, five hundred one million, four hundred forty-three thousand, three hundred twenty".