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14302541056 = 281071792917
BaseRepresentation
bin11010101000111111…
…10111010100000000
31100220202202100212211
431110133313110000
5213242422303211
610323121031504
71014300410266
oct152437672400
940822670784
1014302541056
11607a458871
122931a85594
13146c1b945b
1499974c436
1558a994e21
hex3547f7500

14302541056 has 72 divisors (see below), whose sum is σ = 28986945120. Its totient is φ = 7042443264.

The previous prime is 14302541047. The next prime is 14302541087. The reversal of 14302541056 is 65014520341.

It is a happy number.

14302541056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4901710 + ... + 4904626.

It is an arithmetic number, because the mean of its divisors is an integer number (402596460).

Almost surely, 214302541056 is an apocalyptic number.

14302541056 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 14302541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14493472560).

14302541056 is an abundant number, since it is smaller than the sum of its proper divisors (14684404064).

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

14302541056 is a wasteful number, since it uses less digits than its factorization.

14302541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 14302541056 in words is "fourteen billion, three hundred two million, five hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 107 128 179 214 256 358 428 716 856 1432 1712 2864 2917 3424 5728 5834 6848 11456 11668 13696 19153 22912 23336 27392 38306 45824 46672 76612 93344 153224 186688 306448 312119 373376 522143 612896 624238 746752 1044286 1225792 1248476 2088572 2451584 2496952 4177144 4903168 4993904 8354288 9987808 16708576 19975616 33417152 39951232 55869301 66834304 79902464 111738602 133668608 223477204 446954408 893908816 1787817632 3575635264 7151270528 14302541056