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14059147410 = 23257113495813
BaseRepresentation
bin11010001011111110…
…11001000010010010
31100021210202200120100
431011333121002102
5212243120204120
610243024153230
71005253531650
oct150577310222
940253680510
1014059147410
115a650275a0
122884468816
13143094aa49
149752b1dd0
15574418490
hex345fd9092

14059147410 has 192 divisors, whose sum is σ = 45711993600. Its totient is φ = 2912509440.

The previous prime is 14059147397. The next prime is 14059147411. The reversal of 14059147410 is 1474195041.

14059147410 is a `hidden beast` number, since 14 + 0 + 591 + 47 + 4 + 10 = 666.

14059147410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140591474102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14059147411) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2415664 + ... + 2421476.

It is an arithmetic number, because the mean of its divisors is an integer number (238083300).

Almost surely, 214059147410 is an apocalyptic number.

14059147410 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 14059147410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855996800).

14059147410 is an abundant number, since it is smaller than the sum of its proper divisors (31652846190).

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

14059147410 is a wasteful number, since it uses less digits than its factorization.

14059147410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 14059147410 in words is "fourteen billion, fifty-nine million, one hundred forty-seven thousand, four hundred ten".