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2144138240 = 2105439739
BaseRepresentation
bin111111111001100…
…1111010000000000
312112102120111201102
41333303033100000
513342344410430
6552432153532
7104063605616
oct17763172000
95472514642
102144138240
11a00345882
124ba0988a8
132822a316a
14164a996b6
15c8385345
hex7fccf400

2144138240 has 88 divisors (see below), whose sum is σ = 5263573920. Its totient is φ = 837623808.

The previous prime is 2144138207. The next prime is 2144138257. The reversal of 2144138240 is 428314412.

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, 215291 + ... + 225029.

It is an arithmetic number, because the mean of its divisors is an integer number (59813340).

Almost surely, 22144138240 is an apocalyptic number.

2144138240 is a gapful number since it is divisible by the number (20) 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 2144138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631786960).

2144138240 is an abundant number, since it is smaller than the sum of its proper divisors (3119435680).

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

2144138240 is an equidigital number, since it uses as much as digits as its factorization.

2144138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9807 (or 9789 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 2144138240 is about 46304.8403517386. The cubic root of 2144138240 is about 1289.4888586495.

The spelling of 2144138240 in words is "two billion, one hundred forty-four million, one hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 512 640 688 860 1024 1280 1376 1720 2560 2752 3440 5120 5504 6880 9739 11008 13760 19478 22016 27520 38956 44032 48695 55040 77912 97390 110080 155824 194780 220160 311648 389560 418777 623296 779120 837554 1246592 1558240 1675108 2093885 2493184 3116480 3350216 4187770 4986368 6232960 6700432 8375540 9972736 12465920 13400864 16751080 24931840 26801728 33502160 49863680 53603456 67004320 107206912 134008640 214413824 268017280 428827648 536034560 1072069120 2144138240