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1044441036144 = 2432113728362971
BaseRepresentation
bin11110011001011011000…
…10010111010101110000
310200211212220001222021200
433030231202113111300
5114103003401124034
62115450512051200
7135313136220042
oct17145542272560
93624786058250
101044441036144
11372a43811140
1214a505233b00
137764b44b42c
14387a0771a92
151c27d090a99
hexf32d897570

1044441036144 has 240 divisors, whose sum is σ = 3286515732864. Its totient is φ = 306850291200.

The previous prime is 1044441036109. The next prime is 1044441036167. The reversal of 1044441036144 is 4416301444401.

1044441036144 is a `hidden beast` number, since 1 + 0 + 44 + 441 + 0 + 36 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1044441036099 and 1044441036108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16554579 + ... + 16617549.

Almost surely, 21044441036144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044441036144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643257866432).

1044441036144 is an abundant number, since it is smaller than the sum of its proper divisors (2242074696720).

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

1044441036144 is a wasteful number, since it uses less digits than its factorization.

1044441036144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63316 (or 63307 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 1044441036144 in words is "one trillion, forty-four billion, four hundred forty-one million, thirty-six thousand, one hundred forty-four".