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14027219601024 = 27373234630399
BaseRepresentation
bin1100110000011111011101…
…1100010000011010000000
31211122222201001101221202210
43030013313130100122000
53314310221204213044
645500003221342120
72645301402216000
oct314076734203200
954588631357683
1014027219601024
114518a01859823
1216a669b567940
137a99b8292746
14366cc7516000
15194d308b01b9
hexcc1f7710680

14027219601024 has 256 divisors, whose sum is σ = 45340876800000. Its totient is φ = 3833525025792.

The previous prime is 14027219601023. The next prime is 14027219601041. The reversal of 14027219601024 is 42010691272041.

It is not an unprimeable number, because it can be changed into a prime (14027219601023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 714177 + ... + 5344575.

It is an arithmetic number, because the mean of its divisors is an integer number (177112800000).

Almost surely, 214027219601024 is an apocalyptic number.

14027219601024 is a gapful number since it is divisible by the number (14) 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 14027219601024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22670438400000).

14027219601024 is an abundant number, since it is smaller than the sum of its proper divisors (31313657198976).

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

14027219601024 is an equidigital number, since it uses as much as digits as its factorization.

14027219601024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630460 (or 4630434 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 14027219601024 in words is "fourteen trillion, twenty-seven billion, two hundred nineteen million, six hundred one thousand, twenty-four".