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14063261472 = 25361379587
BaseRepresentation
bin11010001100011110…
…00101011100100000
31100022002111201000000
431012033011130200
5212300143331342
610243252300000
71005333515211
oct150617053440
940262451000
1014063261472
115a67387547
122885911600
13143175b4c0
14975a63408
1557497c44c
hex3463c5720

14063261472 has 336 divisors, whose sum is σ = 45347783040. Its totient is φ = 4265104896.

The previous prime is 14063261453. The next prime is 14063261503. The reversal of 14063261472 is 27416236041.

14063261472 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 32 + 614 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23957563 + ... + 23958149.

It is an arithmetic number, because the mean of its divisors is an integer number (134963640).

Almost surely, 214063261472 is an apocalyptic number.

14063261472 is a gapful number since it is divisible by the number (12) 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 14063261472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22673891520).

14063261472 is an abundant number, since it is smaller than the sum of its proper divisors (31284521568).

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

14063261472 is an equidigital number, since it uses as much as digits as its factorization.

14063261472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 14063261472 in words is "fourteen billion, sixty-three million, two hundred sixty-one thousand, four hundred seventy-two".