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14410161414 = 23311375389139
BaseRepresentation
bin11010110101110100…
…11001110100000110
31101012021021001021000
431122322121310012
5214003000131124
610341523434130
71020045231255
oct153272316406
941167231230
1014410161414
116125184610
122961b25946
13148859a63c
149a9b6479c
155951526c9
hex35ae99d06

14410161414 has 256 divisors, whose sum is σ = 37231488000. Its totient is φ = 4092042240.

The previous prime is 14410161379. The next prime is 14410161433. The reversal of 14410161414 is 41416101441.

14410161414 is a `hidden beast` number, since 1 + 4 + 41 + 0 + 1 + 614 + 1 + 4 = 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, 103670157 + ... + 103670295.

It is an arithmetic number, because the mean of its divisors is an integer number (145435500).

Almost surely, 214410161414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14410161414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615744000).

14410161414 is an abundant number, since it is smaller than the sum of its proper divisors (22821326586).

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

14410161414 is a wasteful number, since it uses less digits than its factorization.

14410161414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 14410161414 its reverse (41416101441), we get a palindrome (55826262855).

The spelling of 14410161414 in words is "fourteen billion, four hundred ten million, one hundred sixty-one thousand, four hundred fourteen".