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13224003400014 = 23111726893438259
BaseRepresentation
bin1100000001101111010000…
…0001100111000101001110
31201211012110112102021102020
43000123310001213011032
53213130224332300024
644043005010511010
72533255063156431
oct300336401470516
951735415367366
1013224003400014
1142392a5196670
121596a97b95466
1374c030bc4364
1433a08bd89818
1517dec006e979
hexc06f406714e

13224003400014 has 64 divisors (see below), whose sum is σ = 30550775028480. Its totient is φ = 3771402923520.

The previous prime is 13224003399991. The next prime is 13224003400019. The reversal of 13224003400014 is 41000430042231.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13224003400019) 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, 29954817 + ... + 30393075.

It is an arithmetic number, because the mean of its divisors is an integer number (477355859820).

Almost surely, 213224003400014 is an apocalyptic number.

13224003400014 is an abundant number, since it is smaller than the sum of its proper divisors (17326771628466).

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

13224003400014 is a wasteful number, since it uses less digits than its factorization.

13224003400014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465185.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13224003400014 its reverse (41000430042231), we get a palindrome (54224433442245).

The spelling of 13224003400014 in words is "thirteen trillion, two hundred twenty-four billion, three million, four hundred thousand, fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 26893 53786 80679 161358 295823 438259 457181 591646 876518 887469 914362 1314777 1371543 1774938 2629554 2743086 4820849 5028991 7450403 9641698 10057982 14462547 14900806 15086973 22351209 28925094 30173946 44702418 81954433 163908866 245863299 491726598 11786099287 23572198574 35358297861 70716595722 129647092157 200363687879 259294184314 388941276471 400727375758 601091063637 777882552942 1202182127274 2204000566669 4408001133338 6612001700007 13224003400014