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44320332144 = 2431194189203
BaseRepresentation
bin101001010001101100…
…101001100101110000
311020101202112011001010
4221101230221211300
51211232001112034
632205510310520
73126204415224
oct512154514560
9136352464033
1044320332144
1117883743580
12870a958440
13424417040a
1422062a8784
151245e353e9
hexa51b29970

44320332144 has 80 divisors (see below), whose sum is σ = 125036889984. Its totient is φ = 13415980800.

The previous prime is 44320332139. The next prime is 44320332181. The reversal of 44320332144 is 44123302344.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452247 + ... + 541449.

Almost surely, 244320332144 is an apocalyptic number.

44320332144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44320332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62518444992).

44320332144 is an abundant number, since it is smaller than the sum of its proper divisors (80716557840).

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

44320332144 is a wasteful number, since it uses less digits than its factorization.

44320332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90166 (or 90160 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 44320332144 its reverse (44123302344), we get a palindrome (88443634488).

The spelling of 44320332144 in words is "forty-four billion, three hundred twenty million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 941 1882 2823 3764 5646 7528 10351 11292 15056 20702 22584 31053 41404 45168 62106 82808 89203 124212 165616 178406 248424 267609 356812 496848 535218 713624 981233 1070436 1427248 1962466 2140872 2943699 3924932 4281744 5887398 7849864 11774796 15699728 23549592 47099184 83940023 167880046 251820069 335760092 503640138 671520184 923340253 1007280276 1343040368 1846680506 2014560552 2770020759 3693361012 4029121104 5540041518 7386722024 11080083036 14773444048 22160166072 44320332144