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44358085344 = 2531163397303
BaseRepresentation
bin101001010011111100…
…101010101011100000
311020111101120012200210
4221103330222223200
51211321132212334
632213335414120
73130143334656
oct512374525340
9136441505623
1044358085344
11178a2a8a071
12871b524340
13424bc2b3a1
14220b2d4dd6
1512493e15e9
hexa53f2aae0

44358085344 has 48 divisors (see below), whose sum is σ = 116540387712. Its totient is φ = 14773277568.

The previous prime is 44358085313. The next prime is 44358085357.

44358085344 is nontrivially palindromic in base 10.

44358085344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 44358085293 and 44358085302.

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, 87004 + ... + 310299.

It is an arithmetic number, because the mean of its divisors is an integer number (2427924744).

Almost surely, 244358085344 is an apocalyptic number.

It is an amenable number.

44358085344 is an abundant number, since it is smaller than the sum of its proper divisors (72182302368).

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

44358085344 is a wasteful number, since it uses less digits than its factorization.

44358085344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398479 (or 398471 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 44358085344 in words is "forty-four billion, three hundred fifty-eight million, eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1163 2326 3489 4652 6978 9304 13956 18608 27912 37216 55824 111648 397303 794606 1191909 1589212 2383818 3178424 4767636 6356848 9535272 12713696 19070544 38141088 462063389 924126778 1386190167 1848253556 2772380334 3696507112 5544760668 7393014224 11089521336 14786028448 22179042672 44358085344