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1444130440 = 2352312011307
BaseRepresentation
bin101011000010011…
…1010111010001000
310201122101102112121
41112010322322020
510424144133230
6355144421024
750533622554
oct12604727210
93648342477
101444130440
116811a0635
12343777774
131a026036c
14d9b1c864
1586bb077a
hex5613ae88

1444130440 has 64 divisors (see below), whose sum is σ = 3395986560. Its totient is φ = 551654400.

The previous prime is 1444130437. The next prime is 1444130459. The reversal of 1444130440 is 440314441.

1444130440 = 98052 + 98062 + ... + 98192.

It is a happy 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, 1104267 + ... + 1105573.

It is an arithmetic number, because the mean of its divisors is an integer number (53062290).

Almost surely, 21444130440 is an apocalyptic number.

1444130440 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 1444130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697993280).

1444130440 is an abundant number, since it is smaller than the sum of its proper divisors (1951856120).

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

1444130440 is a wasteful number, since it uses less digits than its factorization.

1444130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1444130440 is about 38001.7162770315. The cubic root of 1444130440 is about 1130.3218964429.

Adding to 1444130440 its reverse (440314441), we get a palindrome (1884444881).

The spelling of 1444130440 in words is "one billion, four hundred forty-four million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1201 1307 2402 2614 4804 5228 6005 6535 9608 10456 12010 13070 24020 26140 27623 30061 48040 52280 55246 60122 110492 120244 138115 150305 220984 240488 276230 300610 552460 601220 1104920 1202440 1569707 3139414 6278828 7848535 12557656 15697070 31394140 36103261 62788280 72206522 144413044 180516305 288826088 361032610 722065220 1444130440