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44461425000 = 233551941761
BaseRepresentation
bin101001011010000110…
…111000000101101000
311020202121000102001110
4221122012320011220
51212024111100000
632231510350320
73132536606526
oct513206700550
9136677012043
1044461425000
1117946351743
12874a05b3a0
134267471005
14221ad15316
151253505850
hexa5a1b8168

44461425000 has 384 divisors, whose sum is σ = 150009148800. Its totient is φ = 10944000000.

The previous prime is 44461424951. The next prime is 44461425037. The reversal of 44461425000 is 52416444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58424620 + ... + 58425380.

It is an arithmetic number, because the mean of its divisors is an integer number (390648825).

Almost surely, 244461425000 is an apocalyptic number.

44461425000 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 44461425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75004574400).

44461425000 is an abundant number, since it is smaller than the sum of its proper divisors (105547723800).

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

44461425000 is a wasteful number, since it uses less digits than its factorization.

44461425000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 44461425000 in words is "forty-four billion, four hundred sixty-one million, four hundred twenty-five thousand".