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44150205144 = 23310118213781
BaseRepresentation
bin101001000111100011…
…101010101011011000
311012221220101210200010
4221013203222223120
51210404423031034
632140552041520
73122040360153
oct510743525330
9135856353603
1044150205144
11177a6704651
1286819932a0
134217b45356
1421cb860c9a
15123602c3e9
hexa478eaad8

44150205144 has 32 divisors (see below), whose sum is σ = 111468345840. Its totient is φ = 14571024000.

The previous prime is 44150205139. The next prime is 44150205161.

44150205144 is nontrivially palindromic in base 10.

44150205144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×441502051443 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9104467 + ... + 9109314.

Almost surely, 244150205144 is an apocalyptic number.

It is an amenable number.

44150205144 is an abundant number, since it is smaller than the sum of its proper divisors (67318140696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44150205144 is a wasteful number, since it uses less digits than its factorization.

44150205144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18213891 (or 18213887 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 44150205144 in words is "forty-four billion, one hundred fifty million, two hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 606 808 1212 2424 18213781 36427562 54641343 72855124 109282686 145710248 218565372 437130744 1839591881 3679183762 5518775643 7358367524 11037551286 14716735048 22075102572 44150205144