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14047354104 = 2337228142509
BaseRepresentation
bin11010001010100100…
…11001110011111000
31100020222120112012020
431011102121303320
5212232110312404
610241523314440
71005051353100
oct150522316370
940228515166
1014047354104
115a59402063
12288051ba20
13142b37bb64
149738c2200
15573388ed9
hex345499cf8

14047354104 has 96 divisors (see below), whose sum is σ = 40998344400. Its totient is φ = 3999152640.

The previous prime is 14047354093. The next prime is 14047354117. The reversal of 14047354104 is 40145374041.

14047354104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309202 + ... + 351710.

Almost surely, 214047354104 is an apocalyptic number.

14047354104 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 14047354104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20499172200).

14047354104 is an abundant number, since it is smaller than the sum of its proper divisors (26950990296).

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

14047354104 is a wasteful number, since it uses less digits than its factorization.

14047354104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42813 (or 42802 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 14047354104 in words is "fourteen billion, forty-seven million, three hundred fifty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 281 294 392 562 588 843 1124 1176 1686 1967 2248 3372 3934 5901 6744 7868 11802 13769 15736 23604 27538 41307 42509 47208 55076 82614 85018 110152 127527 165228 170036 255054 297563 330456 340072 510108 595126 892689 1020216 1190252 1785378 2082941 2380504 3570756 4165882 6248823 7141512 8331764 11945029 12497646 16663528 23890058 24995292 35835087 47780116 49990584 71670174 83615203 95560232 143340348 167230406 250845609 286680696 334460812 501691218 585306421 668921624 1003382436 1170612842 1755919263 2006764872 2341225684 3511838526 4682451368 7023677052 14047354104