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44342344324344 = 23311167963425471
BaseRepresentation
bin10100001010100010000011…
…01011101001010011111000
312211000002100012212021220210
422011101001223221103320
521303001110121334334
6234150331453151120
712224425425563043
oct1205210153512370
9184002305767823
1044342344324344
1113146534406610
124b81a1548b4a0
131b98607b68401
14ad4276613c5a
1551d6a5a975e9
hex285441ae94f8

44342344324344 has 32 divisors (see below), whose sum is σ = 120933666339840. Its totient is φ = 13437074037600.

The previous prime is 44342344324331. The next prime is 44342344324363.

44342344324344 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44342344324293 and 44342344324302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83981712472 + ... + 83981712999.

It is an arithmetic number, because the mean of its divisors is an integer number (3779177073120).

Almost surely, 244342344324344 is an apocalyptic number.

44342344324344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44342344324344 is an abundant number, since it is smaller than the sum of its proper divisors (76591322015496).

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

44342344324344 is a wasteful number, since it uses less digits than its factorization.

44342344324344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167963425491 (or 167963425487 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 48.

It can be divided in two parts, 4434234 and 4324344, that added together give a palindrome (8758578).

The spelling of 44342344324344 in words is "forty-four trillion, three hundred forty-two billion, three hundred forty-four million, three hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 167963425471 335926850942 503890276413 671853701884 1007780552826 1343707403768 1847597680181 2015561105652 3695195360362 4031122211304 5542793040543 7390390720724 11085586081086 14780781441448 22171172162172 44342344324344