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44011241312324 = 22113131318748221
BaseRepresentation
bin10100000000111001010100…
…11001111001000001000100
312202211102201002010112202112
422000130222121321001010
521232040010233443244
6233334252442400152
712161464405452146
oct1200345231710104
9182742632115675
1044011241312324
1113029076394000
124b2980b800058
131b7331c2aaaa0
14ac2226782c96
15514c77a3139e
hex28072a679044

44011241312324 has 96 divisors (see below), whose sum is σ = 91241267467392. Its totient is φ = 18464471836800.

The previous prime is 44011241312261. The next prime is 44011241312327. The reversal of 44011241312324 is 42321314211044.

It is a super-2 number, since 2×440112413123242 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44011241312327) 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, 912674534 + ... + 912722754.

It is an arithmetic number, because the mean of its divisors is an integer number (950429869452).

Almost surely, 244011241312324 is an apocalyptic number.

44011241312324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44011241312324 is an abundant number, since it is smaller than the sum of its proper divisors (47230026155068).

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

44011241312324 is a wasteful number, since it uses less digits than its factorization.

44011241312324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61458 (or 61434 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 44011241312324 its reverse (42321314211044), we get a palindrome (86332555523368).

The spelling of 44011241312324 in words is "forty-four trillion, eleven billion, two hundred forty-one million, three hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 242 286 484 572 1331 1573 2662 3146 5324 6292 13187 17303 26374 34606 48221 52748 69212 96442 145057 171431 192884 290114 342862 530431 580228 626873 685724 1060862 1253746 1595627 1885741 2121724 2507492 3191254 3771482 5834741 6382508 6895603 7542964 11669482 13791206 17551897 20743151 23338964 27582412 35103794 41486302 64182151 70207588 75851633 82972604 128364302 151703266 228174661 256728604 303406532 456349322 635890327 834367963 912698644 1271780654 1668735926 2543561308 3337471852 6994793597 8266574251 13989587194 16533148502 27979174388 33066297004 76942729567 90932316761 153885459134 181864633522 307770918268 363729267044 846370025237 1000255484371 1692740050474 2000510968742 3385480100948 4001021937484 11002810328081 22005620656162 44011241312324