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444048284801 = 111283195116127
BaseRepresentation
bin1100111011000110101…
…01110001110010000001
31120110011111012002020102
412131203111301302001
524233402330103201
6535554251452145
744036634100262
oct6354325616201
91513144162212
10444048284801
11161357753760
1272086a57055
1332b48319aa4
14176c6292969
15b83d9e226b
hex6763571c81

444048284801 has 16 divisors (see below), whose sum is σ = 485072437248. Its totient is φ = 403133874000.

The previous prime is 444048284791. The next prime is 444048284833. The reversal of 444048284801 is 108482840444.

It is a de Polignac number, because none of the positive numbers 2k-444048284801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444048284881) 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 15 ways as a sum of consecutive naturals, for example, 27526400 + ... + 27542526.

It is an arithmetic number, because the mean of its divisors is an integer number (30317027328).

Almost surely, 2444048284801 is an apocalyptic number.

It is an amenable number.

444048284801 is a deficient number, since it is larger than the sum of its proper divisors (41024152447).

444048284801 is a wasteful number, since it uses less digits than its factorization.

444048284801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19372.

The product of its (nonzero) digits is 1048576, while the sum is 47.

The spelling of 444048284801 in words is "four hundred forty-four billion, forty-eight million, two hundred eighty-four thousand, eight hundred one".

Divisors: 1 11 1283 1951 14113 16127 21461 177397 2503133 20690941 27534463 31463777 227600351 346101547 40368025891 444048284801