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14110455744 = 2633711173613
BaseRepresentation
bin11010010010000110…
…00111011111000000
31100102101022102101000
431021003013133000
5212344234040434
610252100012000
71006445615640
oct151103073700
940371272330
1014110455744
115a90a91280
122899691000
13143b4737c8
1497c02a520
15578ba0b99
hex3490c77c0

14110455744 has 448 divisors, whose sum is σ = 52101780480. Its totient is φ = 3637923840.

The previous prime is 14110455727. The next prime is 14110455781. The reversal of 14110455744 is 44755401141.

14110455744 is a `hidden beast` number, since 1 + 41 + 1 + 0 + 45 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×141104557442 (a number of 21 digits) contains 22 as substring.

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 = 14110455699 and 14110455708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23018382 + ... + 23018994.

Almost surely, 214110455744 is an apocalyptic number.

14110455744 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 14110455744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26050890240).

14110455744 is an abundant number, since it is smaller than the sum of its proper divisors (37991324736).

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

14110455744 is a wasteful number, since it uses less digits than its factorization.

14110455744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

Adding to 14110455744 its reverse (44755401141), we get a palindrome (58865856885).

The spelling of 14110455744 in words is "fourteen billion, one hundred ten million, four hundred fifty-five thousand, seven hundred forty-four".