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14340442400 = 255217925553
BaseRepresentation
bin11010101101100000…
…11100100100100000
31101000102001221202022
431112300130210200
5213332123124100
610330553241012
71015240514654
oct152660344440
941012057668
1014340442400
116099895699
122942703168
131476cc999b
149a07b6a64
1558de7ee85
hex356c1c920

14340442400 has 36 divisors (see below), whose sum is σ = 35008606962. Its totient is φ = 5736176640.

The previous prime is 14340442397. The next prime is 14340442433. The reversal of 14340442400 is 424404341.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7519664656 + 6820777744 = 86716^2 + 82588^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14340442400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8961977 + ... + 8963576.

Almost surely, 214340442400 is an apocalyptic number.

14340442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14340442400 is an abundant number, since it is smaller than the sum of its proper divisors (20668164562).

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

14340442400 is a wasteful number, since it uses less digits than its factorization.

14340442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17925573 (or 17925560 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 14340442400 its reverse (424404341), we get a palindrome (14764846741).

The spelling of 14340442400 in words is "fourteen billion, three hundred forty million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 17925553 35851106 71702212 89627765 143404424 179255530 286808848 358511060 448138825 573617696 717022120 896277650 1434044240 1792555300 2868088480 3585110600 7170221200 14340442400