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1044277732420 = 225133298091013
BaseRepresentation
bin11110011001000111100…
…11011010010001000100
310200211110111210021200121
433030203303122101010
5114102140044414140
62115422355551324
7135306114160636
oct17144363322104
93624414707617
101044277732420
1137296a61268a
1214a47a5bb544
1377623672000
1438786bc2a56
151c26da8464a
hexf323cda444

1044277732420 has 192 divisors, whose sum is σ = 2463034392000. Its totient is φ = 371456397312.

The previous prime is 1044277732417. The next prime is 1044277732451. The reversal of 1044277732420 is 242377724401.

It can be written as a sum of positive squares in 32 ways, for example, as 881048804164 + 163228928256 = 938642^2 + 404016^2 .

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 63 ways as a sum of consecutive naturals, for example, 1030875834 + ... + 1030876846.

It is an arithmetic number, because the mean of its divisors is an integer number (12828304125).

Almost surely, 21044277732420 is an apocalyptic number.

1044277732420 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 1044277732420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231517196000).

1044277732420 is an abundant number, since it is smaller than the sum of its proper divisors (1418756659580).

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

1044277732420 is a wasteful number, since it uses less digits than its factorization.

1044277732420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 43.

The spelling of 1044277732420 in words is "one trillion, forty-four billion, two hundred seventy-seven million, seven hundred thirty-two thousand, four hundred twenty".