Search a number
-
+
44304441010431 = 372476412569259
BaseRepresentation
bin10100001001011011011100…
…11101111110100011111111
312210212110111200002110000120
422010231232131332203333
521301340443344313211
6234121102413430023
712221614230664500
oct1204555635764377
9183773450073016
1044304441010431
1113131453a32898
124b765b779b313
131b94b772b3504
14ad24bc6acba7
1551c6d81c0d06
hex284b6e77e8ff

44304441010431 has 24 divisors (see below), whose sum is σ = 70179157981440. Its totient is φ = 24778167612912.

The previous prime is 44304441010363. The next prime is 44304441010439. The reversal of 44304441010431 is 13401014440344.

It is not a de Polignac number, because 44304441010431 - 227 = 44304306792703 is a prime.

It is a super-2 number, since 2×443044410104312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44304441010392 and 44304441010401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44304441010439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3206277721 + ... + 3206291538.

It is an arithmetic number, because the mean of its divisors is an integer number (2924131582560).

Almost surely, 244304441010431 is an apocalyptic number.

44304441010431 is a deficient number, since it is larger than the sum of its proper divisors (25874716971009).

44304441010431 is a wasteful number, since it uses less digits than its factorization.

44304441010431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412569323 (or 6412569316 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 44304441010431 its reverse (13401014440344), we get a palindrome (57705455450775).

The spelling of 44304441010431 in words is "forty-four trillion, three hundred four billion, four hundred forty-one million, ten thousand, four hundred thirty-one".

Divisors: 1 3 7 21 47 49 141 147 329 987 2303 6909 6412569259 19237707777 44887984813 134663954439 301390755173 314215893691 904172265519 942647681073 2109735286211 6329205858633 14768147003477 44304441010431