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14471439840 = 253251113312267
BaseRepresentation
bin11010111101001000…
…01010010111100000
31101100112120022110100
431132210022113200
5214114142033330
610351553102400
71021421131464
oct153644122740
941315508410
1014471439840
116156828a40
12297a557a00
1314981a4470
149b3d564a4
1559a709060
hex35e90a5e0

14471439840 has 576 divisors, whose sum is σ = 59915261952. Its totient is φ = 3132518400.

The previous prime is 14471439833. The next prime is 14471439863. The reversal of 14471439840 is 4893417441.

14471439840 is a `hidden beast` number, since 14 + 471 + 43 + 98 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 6382387 + ... + 6384653.

It is an arithmetic number, because the mean of its divisors is an integer number (104019552).

Almost surely, 214471439840 is an apocalyptic number.

14471439840 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 14471439840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29957630976).

14471439840 is an abundant number, since it is smaller than the sum of its proper divisors (45443822112).

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

14471439840 is a wasteful number, since it uses less digits than its factorization.

14471439840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14471439840 in words is "fourteen billion, four hundred seventy-one million, four hundred thirty-nine thousand, eight hundred forty".