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14071855590 = 232513412331259
BaseRepresentation
bin11010001101011111…
…10111100111100110
31100022200200022220200
431012233313213212
5212304343334330
610244200411330
71005466541022
oct150657674746
940280608820
1014071855590
115a71217421
122888776b46
13143347a190
14976c5d382
155755c8a60
hex346bf79e6

14071855590 has 192 divisors, whose sum is σ = 40567625280. Its totient is φ = 3362181120.

The previous prime is 14071855543. The next prime is 14071855591. The reversal of 14071855590 is 9555817041.

14071855590 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 1 + 8 + 55 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14071855591) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11176381 + ... + 11177639.

It is an arithmetic number, because the mean of its divisors is an integer number (211289715).

Almost surely, 214071855590 is an apocalyptic number.

14071855590 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 14071855590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20283812640).

14071855590 is an abundant number, since it is smaller than the sum of its proper divisors (26495769690).

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

14071855590 is a wasteful number, since it uses less digits than its factorization.

14071855590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 14071855590 in words is "fourteen billion, seventy-one million, eight hundred fifty-five thousand, five hundred ninety".