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44442204201 = 331989210937
BaseRepresentation
bin101001011000111101…
…100011100000101001
311020201020211220002000
4221120331203200221
51212004201013301
632225542401213
73132214334313
oct513075434051
9136636756060
1044442204201
111793651388a
128743730209
1342634a1465
1422185507b3
1512519aa786
hexa58f63829

44442204201 has 48 divisors (see below), whose sum is σ = 70099454400. Its totient is φ = 27750843648.

The previous prime is 44442204167. The next prime is 44442204251. The reversal of 44442204201 is 10240224444.

It is not a de Polignac number, because 44442204201 - 26 = 44442204137 is a prime.

It is a super-3 number, since 3×444422042013 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44442204251) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4058005 + ... + 4068941.

It is an arithmetic number, because the mean of its divisors is an integer number (1460405300).

Almost surely, 244442204201 is an apocalyptic number.

It is an amenable number.

44442204201 is a deficient number, since it is larger than the sum of its proper divisors (25657250199).

44442204201 is a wasteful number, since it uses less digits than its factorization.

44442204201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11143 (or 11048 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 44442204201 its reverse (10240224444), we get a palindrome (54682428645).

The spelling of 44442204201 in words is "forty-four billion, four hundred forty-two million, two hundred four thousand, two hundred one".

Divisors: 1 3 9 19 27 57 89 171 267 513 801 1691 2403 5073 7921 10937 15219 23763 32811 45657 71289 98433 150499 207803 213867 295299 451497 623409 973393 1354491 1870227 2920179 4063473 5610681 8760537 18494467 26281611 55483401 86631977 166450203 259895931 499350609 779687793 1646007563 2339063379 4938022689 14814068067 44442204201