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14344008128 = 261719766923
BaseRepresentation
bin11010101101111100…
…00011000111000000
31101000122210010000022
431112332003013000
5213334031230003
610331201513012
71015313025452
oct152676030700
941018703008
1014344008128
1160a090067a
122943942768
131477977998
149a10642d2
1558e436738
hex356f831c0

14344008128 has 56 divisors (see below), whose sum is σ = 30291676272. Its totient is φ = 6715756544.

The previous prime is 14344008097. The next prime is 14344008149. The reversal of 14344008128 is 82180044341.

It is a super-2 number, since 2×143440081282 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180875 + ... + 247797.

Almost surely, 214344008128 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 14344008128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15145838136).

14344008128 is an abundant number, since it is smaller than the sum of its proper divisors (15947668144).

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

14344008128 is a wasteful number, since it uses less digits than its factorization.

14344008128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67149 (or 67139 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The spelling of 14344008128 in words is "fourteen billion, three hundred forty-four million, eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 197 272 394 544 788 1088 1576 3152 3349 6304 6698 12608 13396 26792 53584 66923 107168 133846 214336 267692 535384 1070768 1137691 2141536 2275382 4283072 4550764 9101528 13183831 18203056 26367662 36406112 52735324 72812224 105470648 210941296 224125127 421882592 448250254 843765184 896500508 1793001016 3586002032 7172004064 14344008128