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1444234440 = 2335111935669
BaseRepresentation
bin101011000010101…
…0100010011001000
310201122120201012110
41112011110103020
510424211000230
6355150542320
750534535015
oct12605242310
93648521173
101444234440
11681261790
123438079a0
131a02987bc
14d9b4870c
1586bd14b0
hex561544c8

1444234440 has 128 divisors (see below), whose sum is σ = 4751913600. Its totient is φ = 348241920.

The previous prime is 1444234411. The next prime is 1444234447. The reversal of 1444234440 is 444324441.

It is a super-2 number, since 2×14442344402 = 4171626235364227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1444234398 and 1444234407.

It is not an unprimeable number, because it can be changed into a prime (1444234447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251926 + ... + 257594.

It is an arithmetic number, because the mean of its divisors is an integer number (37124325).

Almost surely, 21444234440 is an apocalyptic number.

1444234440 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 1444234440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375956800).

1444234440 is an abundant number, since it is smaller than the sum of its proper divisors (3307679160).

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

1444234440 is a wasteful number, since it uses less digits than its factorization.

1444234440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5887 (or 5883 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 1444234440 is about 38003.0846116470. The cubic root of 1444234440 is about 1130.3490294156.

Adding to 1444234440 its reverse (444324441), we get a palindrome (1888558881).

Subtracting from 1444234440 its reverse (444324441), we obtain a palindrome (999909999).

The spelling of 1444234440 in words is "one billion, four hundred forty-four million, two hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 193 220 264 330 386 440 579 660 772 965 1158 1320 1544 1930 2123 2316 2895 3860 4246 4632 5669 5790 6369 7720 8492 10615 11338 11580 12738 16984 17007 21230 22676 23160 25476 28345 31845 34014 42460 45352 50952 56690 62359 63690 68028 84920 85035 113380 124718 127380 136056 170070 187077 226760 249436 254760 311795 340140 374154 498872 623590 680280 748308 935385 1094117 1247180 1496616 1870770 2188234 2494360 3282351 3741540 4376468 5470585 6564702 7483080 8752936 10941170 12035287 13129404 16411755 21882340 24070574 26258808 32823510 36105861 43764680 48141148 60176435 65647020 72211722 96282296 120352870 131294040 144423444 180529305 240705740 288846888 361058610 481411480 722117220 1444234440