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44313314144 = 2511125890097
BaseRepresentation
bin101001010001010001…
…111000001101100000
311020101021022121011012
4221101101320031200
51211223202023034
632205100040052
73126060645461
oct512121701540
9136337277135
1044313314144
111787a78a880
128708533028
134242883c58
14220539cd68
1512454eacce
hexa51478360

44313314144 has 24 divisors (see below), whose sum is σ = 95172914088. Its totient is φ = 20142415360.

The previous prime is 44313314131. The next prime is 44313314189. The reversal of 44313314144 is 44141331344.

It is a super-4 number, since 4×443133141444 (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 44313314144.

It is a congruent number.

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, 62944697 + ... + 62945400.

It is an arithmetic number, because the mean of its divisors is an integer number (3965538087).

Almost surely, 244313314144 is an apocalyptic number.

44313314144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44313314144 is an abundant number, since it is smaller than the sum of its proper divisors (50859599944).

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

44313314144 is a wasteful number, since it uses less digits than its factorization.

44313314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125890118 (or 125890110 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 44313314144 its reverse (44141331344), we get a palindrome (88454645488).

The spelling of 44313314144 in words is "forty-four billion, three hundred thirteen million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 125890097 251780194 503560388 1007120776 1384791067 2014241552 2769582134 4028483104 5539164268 11078328536 22156657072 44313314144