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4144143440 = 24571972047
BaseRepresentation
bin1111011100000010…
…1001110001010000
3101200210221022002002
43313000221301100
531441400042230
61523115213132
7204460431563
oct36700516120
911623838062
104144143440
111837296338
12977a471a8
1351074c9a8
142b45564da
15193c49545
hexf7029c50

4144143440 has 40 divisors (see below), whose sum is σ = 9648668160. Its totient is φ = 1655328896.

The previous prime is 4144143439. The next prime is 4144143463. The reversal of 4144143440 is 443414414.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21497 + ... + 93543.

It is an arithmetic number, because the mean of its divisors is an integer number (241216704).

Almost surely, 24144143440 is an apocalyptic number.

4144143440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144143440 is an abundant number, since it is smaller than the sum of its proper divisors (5504524720).

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

4144143440 is a wasteful number, since it uses less digits than its factorization.

4144143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72779 (or 72773 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 4144143440 is about 64375.0218640740. The cubic root of 4144143440 is about 1606.2442760171.

Adding to 4144143440 its reverse (443414414), we get a palindrome (4587557854).

The spelling of 4144143440 in words is "four billion, one hundred forty-four million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 719 1438 2876 3595 5752 7190 11504 14380 28760 57520 72047 144094 288188 360235 576376 720470 1152752 1440940 2881880 5763760 51801793 103603586 207207172 259008965 414414344 518017930 828828688 1036035860 2072071720 4144143440