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44429299200 = 29335211132931
BaseRepresentation
bin101001011000001100…
…010100111000000000
311020200100120020202000
4221120030110320000
51211442400033300
632224402024000
73131666545356
oct513014247000
9136610506660
1044429299200
111792a1aa0a0
12873b348000
134260903570
1422169517d6
1512507abc00
hexa58314e00

44429299200 has 1920 divisors, whose sum is σ = 204586905600. Its totient is φ = 9289728000.

The previous prime is 44429299199. The next prime is 44429299241. The reversal of 44429299200 is 299292444.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1433203185 + ... + 1433203215.

It is an arithmetic number, because the mean of its divisors is an integer number (106555680).

Almost surely, 244429299200 is an apocalyptic number.

44429299200 is a gapful number since it is divisible by the number (40) 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 44429299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102293452800).

44429299200 is an abundant number, since it is smaller than the sum of its proper divisors (160157606400).

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

44429299200 is a wasteful number, since it uses less digits than its factorization.

44429299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 44429299200 in words is "forty-four billion, four hundred twenty-nine million, two hundred ninety-nine thousand, two hundred".