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14071529472 = 21537112132
BaseRepresentation
bin11010001101011101…
…01000000000000000
31100022200001202120020
431012232220000000
5212304302420342
610244145413440
71005464012160
oct150656500000
940280052506
1014071529472
115a71014400
12288863a280
131433394900
14976bb65a0
155755620ec
hex346ba8000

14071529472 has 576 divisors, whose sum is σ = 51041803680. Its totient is φ = 3373793280.

The previous prime is 14071529401. The next prime is 14071529491. The reversal of 14071529472 is 27492517041.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1082425338 + ... + 1082425350.

Almost surely, 214071529472 is an apocalyptic number.

14071529472 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 14071529472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25520901840).

14071529472 is an abundant number, since it is smaller than the sum of its proper divisors (36970274208).

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

14071529472 is an equidigital number, since it uses as much as digits as its factorization.

14071529472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

Multiplying 14071529472 by its sum of digits (42), we get a square (591004237824 = 7687682).

14071529472 divided by its sum of digits (42) gives a square (335036416 = 183042).

The spelling of 14071529472 in words is "fourteen billion, seventy-one million, five hundred twenty-nine thousand, four hundred seventy-two".