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44240000301 = 3272261738333
BaseRepresentation
bin101001001100111010…
…001101010100101101
311020012011100212110200
4221030322031110231
51211100420002201
632153520424113
73124210540500
oct511472152455
9136164325420
1044240000301
1117842366022
1286a7a78039
134230624c93
1421d9757137
15123dd68386
hexa4ce8d52d

44240000301 has 36 divisors (see below), whose sum is σ = 74365583292. Its totient is φ = 25269681024.

The previous prime is 44240000291. The next prime is 44240000323. The reversal of 44240000301 is 10300004244.

44240000301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38183114025 + 6056886276 = 195405^2 + 77826^2 .

It is not a de Polignac number, because 44240000301 - 215 = 44239967533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44240000381) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1134931 + ... + 1173263.

It is an arithmetic number, because the mean of its divisors is an integer number (2065710647).

Almost surely, 244240000301 is an apocalyptic number.

It is an amenable number.

44240000301 is a deficient number, since it is larger than the sum of its proper divisors (30125582991).

44240000301 is a wasteful number, since it uses less digits than its factorization.

44240000301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40970 (or 40960 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 44240000301 its reverse (10300004244), we get a palindrome (54540004545).

The spelling of 44240000301 in words is "forty-four billion, two hundred forty million, three hundred one", and thus it is an aban number.

Divisors: 1 3 7 9 21 49 63 147 441 2617 7851 18319 23553 38333 54957 114999 128233 164871 268331 344997 384699 804993 1154097 1878317 2414979 5634951 16904853 100317461 300952383 702222227 902857149 2106666681 4915555589 6320000043 14746666767 44240000301