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44301433410344 = 2311503425379663
BaseRepresentation
bin10100001001010101110110…
…01100111001001100101000
312210212011202001202112022202
422010222323030321030220
521301313313423112334
6234115444134235332
712221446550546225
oct1204527314711450
9183764661675282
1044301433410344
1113130150251390
124b75ab84b5b48
131b947b816a8a6
14ad22b508894c
1551c5ae12a17e
hex284abb339328

44301433410344 has 16 divisors (see below), whose sum is σ = 90616568339520. Its totient is φ = 20137015186480.

The previous prime is 44301433410337. The next prime is 44301433410373.

44301433410344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×443014334103442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44301433410298 and 44301433410307.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251712689744 + ... + 251712689919.

It is an arithmetic number, because the mean of its divisors is an integer number (5663535521220).

Almost surely, 244301433410344 is an apocalyptic number.

44301433410344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44301433410344 is an abundant number, since it is smaller than the sum of its proper divisors (46315134929176).

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

44301433410344 is a wasteful number, since it uses less digits than its factorization.

44301433410344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503425379680 (or 503425379676 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 4430143 and 3410344, that added together give a palindrome (7840487).

The spelling of 44301433410344 in words is "forty-four trillion, three hundred one billion, four hundred thirty-three million, four hundred ten thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 503425379663 1006850759326 2013701518652 4027403037304 5537679176293 11075358352586 22150716705172 44301433410344