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14094530944 = 271337922349
BaseRepresentation
bin11010010000001100…
…10111100110000000
31100101021100100122121
431020012113212000
5212331144442234
610250330414024
71006163351644
oct151006274600
940337310577
1014094530944
115a82aa478a
122894291314
131438089250
14979c82c24
155775a74b4
hex348197980

14094530944 has 64 divisors (see below), whose sum is σ = 30320010000. Its totient is φ = 6487713792.

The previous prime is 14094530899. The next prime is 14094530951. The reversal of 14094530944 is 44903549041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×140945309442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14094530944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619482 + ... + 641830.

Almost surely, 214094530944 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 14094530944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160005000).

14094530944 is an abundant number, since it is smaller than the sum of its proper divisors (16225479056).

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

14094530944 is a wasteful number, since it uses less digits than its factorization.

14094530944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22755 (or 22743 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 14094530944 in words is "fourteen billion, ninety-four million, five hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 379 416 758 832 1516 1664 3032 4927 6064 9854 12128 19708 22349 24256 39416 44698 48512 78832 89396 157664 178792 290537 315328 357584 581074 630656 715168 1162148 1430336 2324296 2860672 4648592 8470271 9297184 16940542 18594368 33881084 37188736 67762168 110113523 135524336 220227046 271048672 440454092 542097344 880908184 1084194688 1761816368 3523632736 7047265472 14094530944