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4441234107537 = 336119163140717
BaseRepresentation
bin100000010100000111000…
…1011100110110010010001
3120201120121020111202201000
41000220032023212302101
51040231121412420122
613240135204132213
7635603631020103
oct100501613466221
916646536452630
104441234107537
111462575964297
125b88a8397069
13262a64093276
14114d5795b573
157a7d78b20ac
hex40a0e2e6c91

4441234107537 has 32 divisors (see below), whose sum is σ = 6687864984960. Its totient is φ = 2912111991360.

The previous prime is 4441234107523. The next prime is 4441234107559. The reversal of 4441234107537 is 7357014321444.

4441234107537 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 2 + 3 + 4 + 107 + 537 = 666.

It is not a de Polignac number, because 4441234107537 - 214 = 4441234091153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4441234107492 and 4441234107501.

It is not an unprimeable number, because it can be changed into a prime (4441234107637) 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 31 ways as a sum of consecutive naturals, for example, 31491103 + ... + 31631819.

It is an arithmetic number, because the mean of its divisors is an integer number (208995780780).

Almost surely, 24441234107537 is an apocalyptic number.

It is an amenable number.

4441234107537 is a deficient number, since it is larger than the sum of its proper divisors (2246630877423).

4441234107537 is a wasteful number, since it uses less digits than its factorization.

4441234107537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159950 (or 159944 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 4441234107537 in words is "four trillion, four hundred forty-one billion, two hundred thirty-four million, one hundred seven thousand, five hundred thirty-seven".

Divisors: 1 3 9 27 61 183 549 1647 19163 57489 140717 172467 422151 517401 1168943 1266453 3506829 3799359 8583737 10520487 25751211 31561461 77253633 231760899 2696559871 8089679613 24269038839 72807116517 164490152131 493470456393 1480411369179 4441234107537