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442051254224241 = 3410149359260703
BaseRepresentation
bin110010010000010110001001…
…1111110110000010101110001
32010222011200112221220100020220
41210200230103332300111301
5430420031432040133431
64204055313120123253
7162053102112145344
oct14440542376602561
92128150487810226
10442051254224241
1111893a97a836862
12416b45b2766529
1315c8733cc17acc
147b2357570a45b
153618b7a869b96
hex1920b13fb0571

442051254224241 has 8 divisors (see below), whose sum is σ = 589403110982400. Its totient is φ = 294700116807792.

The previous prime is 442051254224143. The next prime is 442051254224249. The reversal of 442051254224241 is 142422452150244.

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

It is not a de Polignac number, because 442051254224241 - 219 = 442051253699953 is a prime.

It is a super-2 number, since 2×4420512542242412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442051254224193 and 442051254224202.

It is not an unprimeable number, because it can be changed into a prime (442051254224249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178399905 + ... + 180860798.

It is an arithmetic number, because the mean of its divisors is an integer number (73675388872800).

Almost surely, 2442051254224241 is an apocalyptic number.

It is an amenable number.

442051254224241 is a deficient number, since it is larger than the sum of its proper divisors (147351856758159).

442051254224241 is a wasteful number, since it uses less digits than its factorization.

442051254224241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359670855.

The product of its (nonzero) digits is 819200, while the sum is 42.

The spelling of 442051254224241 in words is "four hundred forty-two trillion, fifty-one billion, two hundred fifty-four million, two hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 3 410149 1230447 359260703 1077782109 147350418074747 442051254224241