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1044544211040 = 25351117113102983
BaseRepresentation
bin11110011001100111010…
…11111100100001100000
310200212011002012210122010
433030303223330201200
5114103211304223130
62115505035312520
7135315531204351
oct17146353744140
93625132183563
101044544211040
11372a96a80a50
1214a5338ab740
1377666934075
14387b034bd28
151c2871710b0
hexf333afc860

1044544211040 has 384 divisors, whose sum is σ = 3834247560192. Its totient is φ = 236215992320.

The previous prime is 1044544211027. The next prime is 1044544211101. The reversal of 1044544211040 is 401124454401.

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

It is a junction number, because it is equal to n+sod(n) for n = 1044544210989 and 1044544211007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10091389 + ... + 10194371.

It is an arithmetic number, because the mean of its divisors is an integer number (9985019688).

Almost surely, 21044544211040 is an apocalyptic number.

1044544211040 is a gapful number since it is divisible by the number (10) 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 1044544211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917123780096).

1044544211040 is an abundant number, since it is smaller than the sum of its proper divisors (2789703349152).

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

1044544211040 is a wasteful number, since it uses less digits than its factorization.

1044544211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103142 (or 103134 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 1044544211040 its reverse (401124454401), we get a palindrome (1445668665441).

The spelling of 1044544211040 in words is "one trillion, forty-four billion, five hundred forty-four million, two hundred eleven thousand, forty".