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5224144414225 = 521121777971857
BaseRepresentation
bin100110000000101011101…
…0001011010011000010001
3200111102102121101010200111
41030001113101122120101
51141043021432223400
615035534441121321
71046301111563302
oct114012721323021
920442377333614
105224144414225
111734602368500
12704583489241
132bb8335a4079
14140bc83367a9
1590d5a6b13ba
hex4c05745a611

5224144414225 has 36 divisors (see below), whose sum is σ = 7124393609452. Its totient is φ = 3797235763200.

The previous prime is 5224144414207. The next prime is 5224144414277.

5224144414225 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 357924599824 + 4866219814401 = 598268^2 + 2205951^2 .

It is not a de Polignac number, because 5224144414225 - 29 = 5224144413713 is a prime.

It is a Duffinian 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 35 ways as a sum of consecutive naturals, for example, 4889497 + ... + 5861353.

Almost surely, 25224144414225 is an apocalyptic number.

5224144414225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5224144414225 is a deficient number, since it is larger than the sum of its proper divisors (1900249195227).

5224144414225 is a wasteful number, since it uses less digits than its factorization.

5224144414225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973666 (or 973650 counting only the distinct ones).

The product of its digits is 409600, while the sum is 40.

The spelling of 5224144414225 in words is "five trillion, two hundred twenty-four billion, one hundred forty-four million, four hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 1777 3025 8885 19547 44425 97735 215017 488675 971857 1075085 4859285 5375425 10690427 24296425 53452135 117594697 267260675 587973485 1726989889 2939867425 8634949445 18996888779 43174747225 94984443895 208965776569 474922219475 1044828882845 5224144414225