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44321322312344 = 2371171950198559
BaseRepresentation
bin10100001001111010111001…
…01011000010001010011000
312210221002002011020102202202
422010331130223002022120
521302130032002443334
6234132533454345332
712223052453456240
oct1204753453021230
9183832064212682
1044321322312344
1113138626a99880
124b799291bb248
131b9663781745c
14ad32406d0b20
1551cd7524d17e
hex284f5cac2298

44321322312344 has 32 divisors (see below), whose sum is σ = 103608285926400. Its totient is φ = 17268047653920.

The previous prime is 44321322312331. The next prime is 44321322312349.

44321322312344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×443213223123442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44321322312298 and 44321322312307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44321322312349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35975098664 + ... + 35975099895.

It is an arithmetic number, because the mean of its divisors is an integer number (3237758935200).

Almost surely, 244321322312344 is an apocalyptic number.

44321322312344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44321322312344 is an abundant number, since it is smaller than the sum of its proper divisors (59286963614056).

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

44321322312344 is a wasteful number, since it uses less digits than its factorization.

44321322312344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71950198583 (or 71950198579 counting only the distinct ones).

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

It can be divided in two parts, 4432132 and 2312344, that added together give a palindrome (6744476).

The spelling of 44321322312344 in words is "forty-four trillion, three hundred twenty-one billion, three hundred twenty-two million, three hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 71950198559 143900397118 287800794236 503651389913 575601588472 791452184149 1007302779826 1582904368298 2014605559652 3165808736596 4029211119304 5540165289043 6331617473192 11080330578086 22160661156172 44321322312344