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14354412408 = 23367250231
BaseRepresentation
bin11010101111001011…
…01111001101111000
31101001101100201000000
431113211233031320
5213344212144113
610332212513000
71015500330600
oct152745571570
941041321000
1014354412408
1160a6767556
12294731b760
131479b7b56b
149a25b1c00
155902de373
hex35796f378

14354412408 has 168 divisors, whose sum is σ = 46942557480. Its totient is φ = 4101179040.

The previous prime is 14354412407. The next prime is 14354412427. The reversal of 14354412408 is 80421445341.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14354412407) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 260653 + ... + 310883.

It is an arithmetic number, because the mean of its divisors is an integer number (279419985).

Almost surely, 214354412408 is an apocalyptic number.

14354412408 is a gapful number since it is divisible by the number (18) 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 14354412408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23471278740).

14354412408 is an abundant number, since it is smaller than the sum of its proper divisors (32588145072).

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

14354412408 is an equidigital number, since it uses as much as digits as its factorization.

14354412408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50269 (or 50243 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 14354412408 its reverse (80421445341), we get a palindrome (94775857749).

The spelling of 14354412408 in words is "fourteen billion, three hundred fifty-four million, four hundred twelve thousand, four hundred eight".