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44440040400030 = 2325112711451114157
BaseRepresentation
bin10100001101011000000001…
…10100100110010010011110
312211100102111211021011011100
422012230000310212102132
521311101200320300110
6234303250035133530
712234454425534042
oct1206540064462236
9184312454234140
1044440040400030
1113183a08290230
124b9893b7442a6
131ba48a725a712
14ad8ca36a4022
15520ec28d7bc0
hex286b00d2649e

44440040400030 has 192 divisors, whose sum is σ = 126601536162816. Its totient is φ = 10726097760000.

The previous prime is 44440040400029. The next prime is 44440040400037. The reversal of 44440040400030 is 3000404004444.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 44440040399967 and 44440040400003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44440040400037) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 389231712 + ... + 389345868.

It is an arithmetic number, because the mean of its divisors is an integer number (659383000848).

Almost surely, 244440040400030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44440040400030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63300768081408).

44440040400030 is an abundant number, since it is smaller than the sum of its proper divisors (82161495762786).

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

44440040400030 is a wasteful number, since it uses less digits than its factorization.

44440040400030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115903 (or 115900 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 44440040400030 its reverse (3000404004444), we get a palindrome (47440444404474).

The spelling of 44440040400030 in words is "forty-four trillion, four hundred forty billion, forty million, four hundred thousand, thirty".