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14323144440 = 23351159353521
BaseRepresentation
bin11010101011011100…
…11101011011111000
31100222012112010102010
431111232131123320
5213313211110230
610325134405520
71014640501413
oct152556353370
940865463363
1014323144440
116090050460
1229389608a0
1314735513c7
1499c392b7a
1558c6b49b0
hex355b9d6f8

14323144440 has 256 divisors, whose sum is σ = 47897049600. Its totient is φ = 3397222400.

The previous prime is 14323144439. The next prime is 14323144447. The reversal of 14323144440 is 4444132341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14323144398 and 14323144407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14323144447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27491380 + ... + 27491900.

It is an arithmetic number, because the mean of its divisors is an integer number (187097850).

Almost surely, 214323144440 is an apocalyptic number.

14323144440 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 14323144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23948524800).

14323144440 is an abundant number, since it is smaller than the sum of its proper divisors (33573905160).

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

14323144440 is a wasteful number, since it uses less digits than its factorization.

14323144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14323144440 its reverse (4444132341), we get a palindrome (18767276781).

The spelling of 14323144440 in words is "fourteen billion, three hundred twenty-three million, one hundred forty-four thousand, four hundred forty".