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14638307040 = 25345733789
BaseRepresentation
bin11011010001000001…
…01101011011100000
31101210011120001020000
431220200231123200
5214434401311130
610420313420000
71025515362000
oct155040553340
941704501200
1014638307040
116231a40815
122a0640a600
1314c392a856
149cc192000
155aa1bb260
hex36882d6e0

14638307040 has 960 divisors, whose sum is σ = 62569584000. Its totient is φ = 3218890752.

The previous prime is 14638307029. The next prime is 14638307051. The reversal of 14638307040 is 4070383641.

14638307040 is a `hidden beast` number, since 14 + 638 + 3 + 0 + 7 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14638307029) and next prime (14638307051).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14638306986 and 14638307004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 164475316 + ... + 164475404.

It is an arithmetic number, because the mean of its divisors is an integer number (65176650).

Almost surely, 214638307040 is an apocalyptic number.

14638307040 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 14638307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31284792000).

14638307040 is an abundant number, since it is smaller than the sum of its proper divisors (47931276960).

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

14638307040 is an equidigital number, since it uses as much as digits as its factorization.

14638307040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 14638307040 in words is "fourteen billion, six hundred thirty-eight million, three hundred seven thousand, forty".