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14650306944 = 2737213101593
BaseRepresentation
bin11011010010011100…
…11111000110000000
31101211000010200222220
431221032133012000
5220000434310234
610421422531040
71026022361100
oct155116370600
941730120886
1014650306944
116238797499
122a0a436a80
1314c626c7a0
149cd9d7200
155ab28ba49
hex36939f180

14650306944 has 384 divisors, whose sum is σ = 49316208480. Its totient is φ = 3819110400.

The previous prime is 14650306901. The next prime is 14650306961. The reversal of 14650306944 is 44960305641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14650306896 and 14650306905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24705112 + ... + 24705704.

Almost surely, 214650306944 is an apocalyptic number.

14650306944 is a gapful number since it is divisible by the number (14) 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 14650306944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24658104240).

14650306944 is an abundant number, since it is smaller than the sum of its proper divisors (34665901536).

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

14650306944 is a wasteful number, since it uses less digits than its factorization.

14650306944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 14650306944 in words is "fourteen billion, six hundred fifty million, three hundred six thousand, nine hundred forty-four".