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44054278107840 = 26345721121322051
BaseRepresentation
bin10100000010001001011111…
…00110001111001011000000
312202222112210101110021120000
422001010233212033023000
521233241130143422330
6233410131142320000
712164550036256200
oct1201045746171300
9182875711407500
1044054278107840
1113045350554500
124b36020729000
131b773ba558970
14ac434a3b4400
15515e45e29560
hex28112f98f2c0

44054278107840 has 2520 divisors, whose sum is σ = 215795735383536. Its totient is φ = 8449588224000.

The previous prime is 44054278107797. The next prime is 44054278107911. The reversal of 44054278107840 is 4870187245044.

It is a happy number.

44054278107840 is a `hidden beast` number, since 4 + 4 + 0 + 542 + 7 + 8 + 10 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1997824815 + ... + 1997846865.

Almost surely, 244054278107840 is an apocalyptic number.

44054278107840 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 44054278107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107897867691768).

44054278107840 is an abundant number, since it is smaller than the sum of its proper divisors (171741457275696).

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

44054278107840 is a wasteful number, since it uses less digits than its factorization.

44054278107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22129 (or 22092 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 54.

The spelling of 44054278107840 in words is "forty-four trillion, fifty-four billion, two hundred seventy-eight million, one hundred seven thousand, eight hundred forty".