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1444729296 = 243197272179
BaseRepresentation
bin101011000011100…
…1101000111010000
310201200111212000110
41112013031013100
510424322314141
6355205321320
750541665523
oct12607150720
93650455013
101444729296
1168156a55a
12343a06240
131a040cb0a
14d9c36bba
1586c7ce16
hex561cd1d0

1444729296 has 80 divisors (see below), whose sum is σ = 3935859200. Its totient is φ = 455393664.

The previous prime is 1444729249. The next prime is 1444729303. The reversal of 1444729296 is 6929274441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661935 + ... + 664113.

It is an arithmetic number, because the mean of its divisors is an integer number (49198240).

Almost surely, 21444729296 is an apocalyptic number.

1444729296 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 1444729296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967929600).

1444729296 is an abundant number, since it is smaller than the sum of its proper divisors (2491129904).

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

1444729296 is a wasteful number, since it uses less digits than its factorization.

1444729296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2930 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 1444729296 is about 38009.5947886846. The cubic root of 1444729296 is about 1130.4781165198.

The spelling of 1444729296 in words is "one billion, four hundred forty-four million, seven hundred twenty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 727 912 1454 2179 2181 2908 4358 4362 5816 6537 8716 8724 11632 13074 13813 17432 17448 26148 27626 34864 34896 41401 41439 52296 55252 82802 82878 104592 110504 124203 165604 165756 221008 248406 331208 331512 496812 662416 663024 993624 1584133 1987248 3168266 4752399 6336532 9504798 12673064 19009596 25346128 30098527 38019192 60197054 76038384 90295581 120394108 180591162 240788216 361182324 481576432 722364648 1444729296