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44342455424344 = 23711208734491857
BaseRepresentation
bin10100001010100010010000…
…10011011101010101011000
312211000002121221220202110121
422011101020103131111120
521303001322042034334
6234150350502323024
712224431245115540
oct1205211023352530
9184002557822417
1044342455424344
11131465910996a0
124b81a46729474
131b98624b9735c
14ad4287294320
1551d6b06e0db4
hex2854484dd558

44342455424344 has 64 divisors (see below), whose sum is σ = 103707359285760. Its totient is φ = 17268002787840.

The previous prime is 44342455424341. The next prime is 44342455424357.

44342455424344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44342455424291 and 44342455424300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44342455424341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15960337 + ... + 18531520.

It is an arithmetic number, because the mean of its divisors is an integer number (1620427488840).

Almost surely, 244342455424344 is an apocalyptic number.

44342455424344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44342455424344 is an abundant number, since it is smaller than the sum of its proper divisors (59364903861416).

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

44342455424344 is a wasteful number, since it uses less digits than its factorization.

44342455424344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34493968 (or 34493964 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 52.

It can be divided in two parts, 4434245 and 5424344, that added together give a palindrome (9858589).

The spelling of 44342455424344 in words is "forty-four trillion, three hundred forty-two billion, four hundred fifty-five million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 2087 4174 8348 14609 16696 22957 29218 45914 58436 91828 116872 160699 183656 321398 642796 1285592 34491857 68983714 137967428 241442999 275934856 379410427 482885998 758820854 965771996 1517641708 1931543992 2655872989 3035283416 5311745978 10623491956 21246983912 71984505559 143969011118 287938022236 503891538913 575876044472 791829561149 1007783077826 1583659122298 2015566155652 3167318244596 4031132311304 5542806928043 6334636489192 11085613856086 22171227712172 44342455424344