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14544113144 = 23117116314281
BaseRepresentation
bin11011000101110010…
…11000110111111000
31101112121022111111012
431202321120313320
5214241243110034
610403110453052
71023262631141
oct154271306770
941477274435
1014544113144
116193855520
12299a964188
1314aa26aa12
149bd872ac8
155a1cb1cce
hex362e58df8

14544113144 has 64 divisors (see below), whose sum is σ = 30355534080. Its totient is φ = 6477408000.

The previous prime is 14544113131. The next prime is 14544113153. The reversal of 14544113144 is 44131144541.

It is a self number, because there is not a number n which added to its sum of digits gives 14544113144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011284 + ... + 1025564.

It is an arithmetic number, because the mean of its divisors is an integer number (474305220).

Almost surely, 214544113144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14544113144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177767040).

14544113144 is an abundant number, since it is smaller than the sum of its proper divisors (15811420936).

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

14544113144 is a wasteful number, since it uses less digits than its factorization.

14544113144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14532 (or 14528 counting only the distinct ones).

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

Adding to 14544113144 its reverse (44131144541), we get a palindrome (58675257685).

The spelling of 14544113144 in words is "fourteen billion, five hundred forty-four million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 71 88 142 163 284 326 568 652 781 1304 1562 1793 3124 3586 6248 7172 11573 14281 14344 23146 28562 46292 57124 92584 114248 127303 157091 254606 314182 509212 628364 1013951 1018424 1256728 2027902 2327803 4055804 4655606 8111608 9311212 11153461 18622424 22306922 25605833 44613844 51211666 89227688 102423332 165274013 204846664 330548026 661096052 1322192104 1818014143 3636028286 7272056572 14544113144