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4214045201441 = 57758712441859
BaseRepresentation
bin111101010100101000101…
…010101101010000100001
3112220212012001111112201112
4331110220222231100201
51023020331032421231
612543523341313105
7613311653126225
oct75245052552041
915825161445645
104214045201441
111385191724569
12580863265795
132474c8bc199a
14107d64902785
157493c4e092b
hex3d528aad421

4214045201441 has 8 divisors (see below), whose sum is σ = 4228540307040. Its totient is φ = 4199574981888.

The previous prime is 4214045201417. The next prime is 4214045201453. The reversal of 4214045201441 is 1441025404124.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4214045201441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4214045201398 and 4214045201407.

It is not an unprimeable number, because it can be changed into a prime (4244045201441) 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 7 ways as a sum of consecutive naturals, for example, 5882231 + ... + 6559628.

It is an arithmetic number, because the mean of its divisors is an integer number (528567538380).

Almost surely, 24214045201441 is an apocalyptic number.

It is an amenable number.

4214045201441 is a deficient number, since it is larger than the sum of its proper divisors (14495105599).

4214045201441 is a wasteful number, since it uses less digits than its factorization.

4214045201441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12443023.

The product of its (nonzero) digits is 20480, while the sum is 32.

The spelling of 4214045201441 in words is "four trillion, two hundred fourteen billion, forty-five million, two hundred one thousand, four hundred forty-one".

Divisors: 1 577 587 338699 12441859 7178952643 7303371233 4214045201441