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1441104496 = 241322331069
BaseRepresentation
bin101010111100101…
…1000001001110000
310201102200200201121
41111321120021300
510422410320441
6354555512024
750466120556
oct12571301160
93642620647
101441104496
1167a514157
12342758614
1319c740c70
14d9571bd6
15867b3dd1
hex55e58270

1441104496 has 40 divisors (see below), whose sum is σ = 3020501120. Its totient is φ = 662121216.

The previous prime is 1441104493. The next prime is 1441104517. The reversal of 1441104496 is 6944011441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441104493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30850 + ... + 61918.

It is an arithmetic number, because the mean of its divisors is an integer number (75512528).

Almost surely, 21441104496 is an apocalyptic number.

1441104496 is a gapful number since it is divisible by the number (16) 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 1441104496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510250560).

1441104496 is an abundant number, since it is smaller than the sum of its proper divisors (1579396624).

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

1441104496 is a wasteful number, since it uses less digits than its factorization.

1441104496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31313 (or 31307 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 1441104496 is about 37961.8821451203. The cubic root of 1441104496 is about 1129.5318749091.

The spelling of 1441104496 in words is "one billion, four hundred forty-one million, one hundred four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 223 446 892 1784 2899 3568 5798 11596 23192 31069 46384 62138 124276 248552 403897 497104 807794 1615588 3231176 6462352 6928387 13856774 27713548 55427096 90069031 110854192 180138062 360276124 720552248 1441104496