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14104420176 = 2437112192312
BaseRepresentation
bin11010010001011000…
…00101111101010000
31100101221221210010110
431020230011331100
5212341212421201
610251322401320
71006343410350
oct151054057520
940357853113
1014104420176
115a88639700
122897660240
13143a13c572
1497b2d8b60
155783ac6d6
hex348b05f50

14104420176 has 540 divisors, whose sum is σ = 49915742688. Its totient is φ = 3358713600.

The previous prime is 14104420103. The next prime is 14104420181. The reversal of 14104420176 is 67102440141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 454981281 + ... + 454981311.

Almost surely, 214104420176 is an apocalyptic number.

14104420176 is a gapful number since it is divisible by the number (16) 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 14104420176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24957871344).

14104420176 is an abundant number, since it is smaller than the sum of its proper divisors (35811322512).

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

14104420176 is a wasteful number, since it uses less digits than its factorization.

14104420176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

Multiplying 14104420176 by its product of nonzero digits (5376), we get a square (75825362866176 = 87077762).

The spelling of 14104420176 in words is "fourteen billion, one hundred four million, four hundred twenty thousand, one hundred seventy-six".