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14055415110 = 233511192331069
BaseRepresentation
bin11010001011100010…
…01001110101000110
31100021112202001211000
431011301021311012
5212241141240420
610242412154130
71005210025422
oct150561116506
940245661730
1014055415110
115a62a08450
122883168946
13142cc41c99
149749bdb82
15573e2c690
hex345c49d46

14055415110 has 256 divisors, whose sum is σ = 43265664000. Its totient is φ = 3211176960.

The previous prime is 14055415081. The next prime is 14055415141. The reversal of 14055415110 is 1151455041.

14055415110 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 541 + 5 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13147656 + ... + 13148724.

It is an arithmetic number, because the mean of its divisors is an integer number (169006500).

Almost surely, 214055415110 is an apocalyptic number.

14055415110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14055415110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21632832000).

14055415110 is an abundant number, since it is smaller than the sum of its proper divisors (29210248890).

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

14055415110 is a wasteful number, since it uses less digits than its factorization.

14055415110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 14055415110 in words is "fourteen billion, fifty-five million, four hundred fifteen thousand, one hundred ten".