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13214850440 = 23511237109677
BaseRepresentation
bin11000100111010101…
…01001110110001000
31021002222001221212012
430103222221312020
5204031000203230
610023144035052
7645322242521
oct142352516610
937088057765
1013214850440
115671490800
122689762a88
131327a5853c
148d50d5848
15525241395
hex313aa9d88

13214850440 has 192 divisors, whose sum is σ = 33923458800. Its totient is φ = 4625786880.

The previous prime is 13214850433. The next prime is 13214850443. The reversal of 13214850440 is 4405841231.

It can be written as a sum of positive squares in 8 ways, for example, as 12821938756 + 392911684 = 113234^2 + 19822^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13214850397 and 13214850406.

It is not an unprimeable number, because it can be changed into a prime (13214850443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19519382 + ... + 19520058.

Almost surely, 213214850440 is an apocalyptic number.

13214850440 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 13214850440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16961729400).

13214850440 is an abundant number, since it is smaller than the sum of its proper divisors (20708608360).

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

13214850440 is a wasteful number, since it uses less digits than its factorization.

13214850440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 13214850440 in words is "thirteen billion, two hundred fourteen million, eight hundred fifty thousand, four hundred forty".