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13223143440 = 243251323239257
BaseRepresentation
bin11000101000010100…
…10010100000010000
31021010112200021201100
430110022102200100
5204040111042230
610024041504400
7645452602413
oct142412224020
937115607640
1013223143440
115676135421
1226904a2100
1313296a0140
148d6253b7a
15525d2d660
hex314292810

13223143440 has 480 divisors, whose sum is σ = 50306780160. Its totient is φ = 3088318464.

The previous prime is 13223143393. The next prime is 13223143457. The reversal of 13223143440 is 4434132231.

13223143440 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 314 + 344 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51451792 + ... + 51452048.

It is an arithmetic number, because the mean of its divisors is an integer number (104805792).

Almost surely, 213223143440 is an apocalyptic number.

13223143440 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 13223143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25153390080).

13223143440 is an abundant number, since it is smaller than the sum of its proper divisors (37083636720).

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

13223143440 is a wasteful number, since it uses less digits than its factorization.

13223143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13223143440 its reverse (4434132231), we get a palindrome (17657275671).

The spelling of 13223143440 in words is "thirteen billion, two hundred twenty-three million, one hundred forty-three thousand, four hundred forty".