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2144131040 = 25589150571
BaseRepresentation
bin111111111001100…
…1101011111100000
312112102120010211202
41333303031133200
513342344143130
6552432100332
7104063545622
oct17763153740
95472503752
102144131040
11a00340427
124ba0946a8
1328229cabc
14164a96c12
15c8383145
hex7fccd7e0

2144131040 has 48 divisors (see below), whose sum is σ = 5122459440. Its totient is φ = 848010240.

The previous prime is 2144131013. The next prime is 2144131049. The reversal of 2144131040 is 401314412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144131049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61046 + ... + 89525.

It is an arithmetic number, because the mean of its divisors is an integer number (106717905).

Almost surely, 22144131040 is an apocalyptic number.

2144131040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144131040 is an abundant number, since it is smaller than the sum of its proper divisors (2978328400).

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

2144131040 is a wasteful number, since it uses less digits than its factorization.

2144131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150675 (or 150667 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2144131040 is about 46304.7626060214. The cubic root of 2144131040 is about 1289.4874152833.

Adding to 2144131040 its reverse (401314412), we get a palindrome (2545445452).

The spelling of 2144131040 in words is "two billion, one hundred forty-four million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1780 2848 3560 7120 14240 150571 301142 602284 752855 1204568 1505710 2409136 3011420 4818272 6022840 12045680 13400819 24091360 26801638 53603276 67004095 107206552 134008190 214413104 268016380 428826208 536032760 1072065520 2144131040