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44120002144 = 251972565793
BaseRepresentation
bin101001000101110000…
…011100111001100000
311012212210120022221111
4221011300130321200
51210324210032034
632133552433104
73121222554601
oct510560347140
9135783508844
1044120002144
1117790655699
128673848794
1342117cbb5a
1421c783bda8
151233563364
hexa45c1ce60

44120002144 has 24 divisors (see below), whose sum is σ = 91432900440. Its totient is φ = 20898948096.

The previous prime is 44120002141. The next prime is 44120002159.

44120002144 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44120002141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36282289 + ... + 36283504.

It is an arithmetic number, because the mean of its divisors is an integer number (3809704185).

Almost surely, 244120002144 is an apocalyptic number.

It is an amenable number.

44120002144 is an abundant number, since it is smaller than the sum of its proper divisors (47312898296).

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

44120002144 is a wasteful number, since it uses less digits than its factorization.

44120002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72565822 (or 72565814 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 4412000 and 2144, that added together give a palindrome (4414144).

The spelling of 44120002144 in words is "forty-four billion, one hundred twenty million, two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 72565793 145131586 290263172 580526344 1161052688 1378750067 2322105376 2757500134 5515000268 11030000536 22060001072 44120002144