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14326213440 = 26357112941163
BaseRepresentation
bin11010101011110100…
…01010101101000000
31100222102022001021210
431111322022231000
5213320002312230
610325324250120
71015005543060
oct152572125500
940872261253
1014326213440
116091857220
1229399a0940
131474087296
1499c9513a0
1558cabdeb0
hex355e8ab40

14326213440 has 896 divisors, whose sum is σ = 60464517120. Its totient is φ = 2786918400.

The previous prime is 14326213417. The next prime is 14326213441. The reversal of 14326213440 is 4431262341.

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 = 14326213398 and 14326213407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14326213441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87890799 + ... + 87890961.

It is an arithmetic number, because the mean of its divisors is an integer number (67482720).

Almost surely, 214326213440 is an apocalyptic number.

14326213440 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 14326213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30232258560).

14326213440 is an abundant number, since it is smaller than the sum of its proper divisors (46138303680).

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

14326213440 is a wasteful number, since it uses less digits than its factorization.

14326213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 14326213440 its reverse (4431262341), we get a palindrome (18757475781).

The spelling of 14326213440 in words is "fourteen billion, three hundred twenty-six million, two hundred thirteen thousand, four hundred forty".