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2144030440 = 235617312037
BaseRepresentation
bin111111111001011…
…0100111011101000
312112102101000211211
41333302310323220
513342332433230
6552430002504
7104062646416
oct17762647350
95472330754
102144030440
11a00281892
124ba046434
13282266086
14164a6c2b6
15c836342a
hex7fcb4ee8

2144030440 has 64 divisors (see below), whose sum is σ = 4970730960. Its totient is φ = 831928320.

The previous prime is 2144030423. The next prime is 2144030459. The reversal of 2144030440 is 440304412.

It can be written as a sum of positive squares in 8 ways, for example, as 20848356 + 2123182084 = 4566^2 + 46078^2 .

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, 172102 + ... + 184138.

Almost surely, 22144030440 is an apocalyptic number.

2144030440 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 2144030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485365480).

2144030440 is an abundant number, since it is smaller than the sum of its proper divisors (2826700520).

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

2144030440 is a wasteful number, since it uses less digits than its factorization.

2144030440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12182 (or 12178 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2144030440 is about 46303.6763119301. The cubic root of 2144030440 is about 1289.4672479116.

Adding to 2144030440 its reverse (440304412), we get a palindrome (2584334852).

The spelling of 2144030440 in words is "two billion, one hundred forty-four million, thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 73 122 146 244 292 305 365 488 584 610 730 1220 1460 2440 2920 4453 8906 12037 17812 22265 24074 35624 44530 48148 60185 89060 96296 120370 178120 240740 481480 734257 878701 1468514 1757402 2937028 3514804 3671285 4393505 5874056 7029608 7342570 8787010 14685140 17574020 29370280 35148040 53600761 107201522 214403044 268003805 428806088 536007610 1072015220 2144030440